%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM487+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 : n013.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 02:25:13 PM UTC 2026
% Result : Theorem 18.73s 13.28s
% Output : CNFRefutation 19.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 45
% Syntax : Number of formulae : 6080 ( 296 unt; 2 def)
% Number of atoms : 35046 (9435 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 48467 (19501 ~;28603 |; 290 &)
% ( 12 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 6070 ( 0 sgn6018 !; 52 ?;5568 :)
% 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(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
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(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(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,
( xr = sdtmndt0(xn,xp)
& sdtpldt0(xp,xr) = xn
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).
fof(f44,conjecture,
( ( sdtlseqdt0(xr,xn)
| ? [X0] :
( sdtpldt0(xr,X0) = xn
& aNaturalNumber0(X0) ) )
& xr != xn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f45,negated_conjecture,
~ ( ( sdtlseqdt0(xr,xn)
| ? [X0] :
( sdtpldt0(xr,X0) = xn
& aNaturalNumber0(X0) ) )
& xr != xn ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f46,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(f47,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(f50,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,[],[f46]) ).
fof(f51,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,[],[f50]) ).
fof(f52,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,[],[f47]) ).
fof(f53,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,[],[f52]) ).
fof(f54,plain,
( ( ~ sdtlseqdt0(xr,xn)
& ! [X0] :
( xn != sdtpldt0(xr,X0)
| ~ aNaturalNumber0(X0) ) )
| xn = xr ),
inference(ennf_transformation,[],[f45]) ).
fof(f55,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f56,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(flattening,[],[f55]) ).
fof(f57,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(f58,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,[],[f57]) ).
fof(f59,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f60,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f62,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(flattening,[],[f61]) ).
fof(f63,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(f64,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,[],[f63]) ).
fof(f65,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f66,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f67,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(ennf_transformation,[],[f26]) ).
fof(f68,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f70,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(f71,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f70]) ).
fof(f72,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(f73,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f72]) ).
fof(f74,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(f75,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,[],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f77,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f76]) ).
fof(f78,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(f79,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,[],[f78]) ).
fof(f80,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(f81,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,[],[f80]) ).
fof(f82,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(f83,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f91,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f90]) ).
fof(f92,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(f93,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f95,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f97,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f99,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f103,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
inference(flattening,[],[f102]) ).
fof(f104,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(f105,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( isPrime0(X0)
<=> ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) ) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f111,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f113,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f114,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f113]) ).
fof(f118,plain,
! [X1,X2] :
( ~ sP1(X1,X2)
| ( doDivides0(X2,X1)
& ? [X7] :
( sdtasdt0(X2,X7) = X1
& aNaturalNumber0(X7) ) ) ),
inference(nnf_transformation,[],[f116]) ).
fof(f119,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ( doDivides0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) ) ) ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ( doDivides0(X1,X0)
& sdtasdt0(X1,sK2(X0,X1)) = X0
& aNaturalNumber0(sK2(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f119]) ).
fof(f124,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,[],[f117]) ).
fof(f125,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,sK5(X0,X2)) = X0
& aNaturalNumber0(sK5(X0,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X2))],[f124]) ).
fof(f126,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK6)
& aNaturalNumber0(sK6)
& 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,[sK6]),skolemize(X2,sK6)],[f53]) ).
fof(f127,plain,
( sdtlseqdt0(xp,xn)
& xn = sdtpldt0(xp,sK7)
& aNaturalNumber0(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f42]) ).
fof(f128,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,[],[f77]) ).
fof(f129,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,[],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ( sdtpldt0(X0,sK8(X0,X1)) = X1
& aNaturalNumber0(sK8(X0,X1)) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1))],[f129]) ).
fof(f131,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,[],[f91]) ).
fof(f132,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,[],[f131]) ).
fof(f133,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK9(X0,X1)) = X1
& aNaturalNumber0(sK9(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f132]) ).
fof(f134,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ( isPrime0(sK10(X0))
& doDivides0(sK10(X0),X0)
& aNaturalNumber0(sK10(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X1,sK10(X0))],[f103]) ).
fof(f135,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,[],[f105]) ).
fof(f136,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,[],[f135]) ).
fof(f137,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,[],[f136]) ).
fof(f138,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X2] :
( ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 )
& X0 != sz10
& X0 != sz00 ) )
& ( ( doDivides0(sK11(X0),X0)
& aNaturalNumber0(sK11(X0))
& sK11(X0) != X0
& sz10 != sK11(X0) )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X1,sK11(X0))],[f137]) ).
fof(f139,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ! [X2] :
( ( sdtmndt0(X1,X0) != X2
| ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
& ( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtmndt0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f140,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ! [X2] :
( ( sdtmndt0(X1,X0) != X2
| ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
& ( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtmndt0(X1,X0) ) ) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f142,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f143,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f144,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| doDivides0(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f145,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sdtasdt0(X1,sK2(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f146,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| aNaturalNumber0(sK2(X0,X1)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f154,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,[],[f125]) ).
fof(f155,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,[],[f125]) ).
fof(f156,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,sK5(X0,X2)) = X0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f157,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,sK5(X0,X2)) = X0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f158,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(sK5(X0,X2)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f159,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(sK5(X0,X2)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f160,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f126]) ).
fof(f161,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,sK6),
inference(cnf_transformation,[],[f126]) ).
fof(f162,plain,
aNaturalNumber0(sK6),
inference(cnf_transformation,[],[f126]) ).
fof(f163,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f126]) ).
fof(f164,plain,
! [X0] :
( ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| xp = X0
| sz10 = X0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f165,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| xp = X0
| sz10 = X0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f166,plain,
sz10 != xp,
inference(cnf_transformation,[],[f126]) ).
fof(f167,plain,
sz00 != xp,
inference(cnf_transformation,[],[f126]) ).
fof(f168,plain,
sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f127]) ).
fof(f169,plain,
xn = sdtpldt0(xp,sK7),
inference(cnf_transformation,[],[f127]) ).
fof(f170,plain,
aNaturalNumber0(sK7),
inference(cnf_transformation,[],[f127]) ).
fof(f171,plain,
xr = sdtmndt0(xn,xp),
inference(cnf_transformation,[],[f43]) ).
fof(f172,plain,
xn = sdtpldt0(xp,xr),
inference(cnf_transformation,[],[f43]) ).
fof(f173,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f43]) ).
fof(f174,plain,
( ~ sdtlseqdt0(xr,xn)
| xn = xr ),
inference(cnf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0] :
( xn != sdtpldt0(xr,X0)
| ~ aNaturalNumber0(X0)
| xn = xr ),
inference(cnf_transformation,[],[f54]) ).
fof(f176,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f177,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,[],[f58]) ).
fof(f179,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,[],[f58]) ).
fof(f181,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f182,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f183,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f64]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f64]) ).
fof(f186,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f187,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f65]) ).
fof(f188,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f66]) ).
fof(f189,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f66]) ).
fof(f190,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f191,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f68]) ).
fof(f193,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f194,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f195,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f196,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f199,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,[],[f75]) ).
fof(f201,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,[],[f75]) ).
fof(f203,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK8(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f204,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sK8(X0,X1)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f79]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f79]) ).
fof(f208,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,[],[f81]) ).
fof(f209,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,[],[f81]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f211,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f212,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f213,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f214,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK9(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f133]) ).
fof(f215,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(sK9(X0,X1)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f218,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f219,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f220,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f222,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| isPrime0(sK10(X0)) ),
inference(cnf_transformation,[],[f134]) ).
fof(f223,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| doDivides0(sK10(X0),X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f224,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK10(X0)) ),
inference(cnf_transformation,[],[f134]) ).
fof(f225,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 ),
inference(cnf_transformation,[],[f138]) ).
fof(f226,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| sz10 != X0 ),
inference(cnf_transformation,[],[f138]) ).
fof(f227,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| sz00 != X0 ),
inference(cnf_transformation,[],[f138]) ).
fof(f228,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| doDivides0(sK11(X0),X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f229,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK11(X0))
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f230,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sK11(X0) != X0
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f231,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz10 != sK11(X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f232,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f235,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f111]) ).
fof(f236,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtmndt0(X1,X0) != X2
| sdtpldt0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtmndt0(X1,X0) != X2
| aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtmndt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f140]) ).
fof(f241,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f205]) ).
fof(f242,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f216]) ).
fof(f243,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f227]) ).
fof(f244,plain,
( ~ aNaturalNumber0(sz10)
| ~ isPrime0(sz10) ),
inference(equality_resolution,[],[f226]) ).
fof(f246,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f239]) ).
fof(f247,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sdtmndt0(X1,X0)) ),
inference(equality_resolution,[],[f238]) ).
fof(f248,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f237]) ).
tcf(c_49,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f143]) ).
tcf(c_50,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f142]) ).
tcf(c_51,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f141]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK2(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X1,sK2(X0,X1)) = X0 )
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( doDivides0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2)
| sP1(X1,X2)
| aNaturalNumber0(sK5(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,[],[f159]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| sP1(X1,X2)
| aNaturalNumber0(sK5(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,[],[f158]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2)
| sP1(X1,X2)
| ( sdtasdt0(X2,sK5(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,[],[f157]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| sP1(X1,X2)
| ( sdtasdt0(X2,sK5(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,[],[f156]) ).
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,[],[f155]) ).
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,[],[f154]) ).
tcf(c_68,plain,
xp != sz00,
inference(cnf_transformation,[],[f167]) ).
tcf(c_69,plain,
xp != sz10,
inference(cnf_transformation,[],[f166]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != xp ) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_71,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_72,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f163]) ).
tcf(c_73,plain,
aNaturalNumber0(sK6),
inference(cnf_transformation,[],[f162]) ).
tcf(c_74,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,sK6),
inference(cnf_transformation,[],[f161]) ).
tcf(c_75,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f160]) ).
tcf(c_76,plain,
aNaturalNumber0(sK7),
inference(cnf_transformation,[],[f170]) ).
tcf(c_77,plain,
sdtpldt0(xp,sK7) = xn,
inference(cnf_transformation,[],[f169]) ).
tcf(c_78,plain,
sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f168]) ).
tcf(c_79,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f173]) ).
tcf(c_80,plain,
sdtpldt0(xp,xr) = xn,
inference(cnf_transformation,[],[f172]) ).
tcf(c_81,plain,
sdtmndt0(xn,xp) = xr,
inference(cnf_transformation,[],[f171]) ).
tcf(c_82,negated_conjecture,
! [X0: $i] :
( ( xn = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xn ) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_83,negated_conjecture,
( ( xn = xr )
| ~ sdtlseqdt0(xr,xn) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_86,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,[],[f179]) ).
tcf(c_88,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,[],[f177]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_92,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,[],[f185]) ).
tcf(c_93,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,[],[f184]) ).
tcf(c_94,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_95,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_96,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_97,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_98,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f190]) ).
tcf(c_99,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_100,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_101,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_102,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f196]) ).
tcf(c_103,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f195]) ).
tcf(c_104,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,[],[f197]) ).
tcf(c_105,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,[],[f198]) ).
tcf(c_107,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,[],[f201]) ).
tcf(c_109,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,[],[f199]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK8(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK8(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1) ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_115,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,[],[f209]) ).
tcf(c_116,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,[],[f208]) ).
tcf(c_117,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,[],[f210]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK9(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK9(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_124,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,[],[f217]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_128,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,[],[f221]) ).
tcf(c_129,plain,
! [X0: $i] :
( aNaturalNumber0(sK10(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_130,plain,
! [X0: $i] :
( doDivides0(sK10(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_131,plain,
! [X0: $i] :
( isPrime0(sK10(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_132,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sK11(X0) != sz10 ) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_133,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sK11(X0) != X0 ) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_134,plain,
! [X0: $i] :
( isPrime0(X0)
| aNaturalNumber0(sK11(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_135,plain,
! [X0: $i] :
( isPrime0(X0)
| doDivides0(sK11(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_136,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_137,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = X1 )
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_141,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,[],[f234]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_143,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_205,plain,
~ isPrime0(sz10),
inference(global_subsumption_just,[status(thm)],[c_137,c_102,c_137]) ).
tcf(c_207,plain,
~ isPrime0(sz00),
inference(global_subsumption_just,[status(thm)],[c_136,c_98,c_136]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_121,c_126,c_121]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_110,c_119,c_110]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_144,c_119,c_144,c_212]) ).
tcf(c_924,plain,
doDivides0(xp,sdtasdt0(xp,sK6)),
inference(demodulation,[status(thm)],[c_75,c_74]) ).
tcf(c_8615,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_8617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_8624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_10159,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xn,X0),xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_215]) ).
tcf(c_10160,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xm,X0),xm) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_215]) ).
tcf(c_10161,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xp,X0),xp) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_215]) ).
tcf(c_10162,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sK6,X0),sK6) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_215]) ).
tcf(c_10163,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sK7,X0),sK7) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_215]) ).
tcf(c_10164,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(xr,X0),xr) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79,c_215]) ).
tcf(c_10165,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sz00,X0),sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_215]) ).
tcf(c_10166,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sz10,X0),sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_215]) ).
tcf(c_10194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sK2(X0,X1),X2),sK2(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_215]) ).
tcf(c_10203,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_94]) ).
tcf(c_10204,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_94]) ).
tcf(c_10205,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_94]) ).
tcf(c_10206,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK2(X0,X1),sz00) = sz00 )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_94]) ).
tcf(c_10207,plain,
sdtasdt0(sK6,sz00) = sz00,
inference(superposition,[status(thm)],[c_73,c_94]) ).
tcf(c_10208,plain,
sdtasdt0(sK7,sz00) = sz00,
inference(superposition,[status(thm)],[c_76,c_94]) ).
tcf(c_10209,plain,
sdtasdt0(xr,sz00) = sz00,
inference(superposition,[status(thm)],[c_79,c_94]) ).
tcf(c_10210,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_98,c_94]) ).
tcf(c_10211,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_94]) ).
tcf(c_10219,plain,
sdtasdt0(sz00,xn) = sz00,
inference(superposition,[status(thm)],[c_49,c_95]) ).
tcf(c_10220,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_50,c_95]) ).
tcf(c_10221,plain,
sdtasdt0(sz00,xp) = sz00,
inference(superposition,[status(thm)],[c_51,c_95]) ).
tcf(c_10222,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK2(X0,X1)) = sz00 )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_95]) ).
tcf(c_10223,plain,
sdtasdt0(sz00,sK6) = sz00,
inference(superposition,[status(thm)],[c_73,c_95]) ).
tcf(c_10224,plain,
sdtasdt0(sz00,sK7) = sz00,
inference(superposition,[status(thm)],[c_76,c_95]) ).
tcf(c_10225,plain,
sdtasdt0(sz00,xr) = sz00,
inference(superposition,[status(thm)],[c_79,c_95]) ).
tcf(c_10227,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(superposition,[status(thm)],[c_102,c_95]) ).
tcf(c_10234,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_49,c_96]) ).
tcf(c_10235,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_50,c_96]) ).
tcf(c_10236,plain,
sdtpldt0(xp,sz00) = xp,
inference(superposition,[status(thm)],[c_51,c_96]) ).
tcf(c_10237,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK2(X0,X1),sz00) = sK2(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_96]) ).
tcf(c_10238,plain,
sdtpldt0(sK6,sz00) = sK6,
inference(superposition,[status(thm)],[c_73,c_96]) ).
tcf(c_10239,plain,
sdtpldt0(sK7,sz00) = sK7,
inference(superposition,[status(thm)],[c_76,c_96]) ).
tcf(c_10240,plain,
sdtpldt0(xr,sz00) = xr,
inference(superposition,[status(thm)],[c_79,c_96]) ).
tcf(c_10241,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_98,c_96]) ).
tcf(c_10242,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(superposition,[status(thm)],[c_102,c_96]) ).
tcf(c_10250,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_49,c_97]) ).
tcf(c_10251,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_97]) ).
tcf(c_10252,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_51,c_97]) ).
tcf(c_10253,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK2(X0,X1)) = sK2(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_97]) ).
tcf(c_10254,plain,
sdtpldt0(sz00,sK6) = sK6,
inference(superposition,[status(thm)],[c_73,c_97]) ).
tcf(c_10255,plain,
sdtpldt0(sz00,sK7) = sK7,
inference(superposition,[status(thm)],[c_76,c_97]) ).
tcf(c_10256,plain,
sdtpldt0(sz00,xr) = xr,
inference(superposition,[status(thm)],[c_79,c_97]) ).
tcf(c_10258,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(superposition,[status(thm)],[c_102,c_97]) ).
tcf(c_10266,plain,
sdtasdt0(xn,sz10) = xn,
inference(superposition,[status(thm)],[c_49,c_100]) ).
tcf(c_10267,plain,
sdtasdt0(xm,sz10) = xm,
inference(superposition,[status(thm)],[c_50,c_100]) ).
tcf(c_10268,plain,
sdtasdt0(xp,sz10) = xp,
inference(superposition,[status(thm)],[c_51,c_100]) ).
tcf(c_10269,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK2(X0,X1),sz10) = sK2(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_100]) ).
tcf(c_10270,plain,
sdtasdt0(sK6,sz10) = sK6,
inference(superposition,[status(thm)],[c_73,c_100]) ).
tcf(c_10271,plain,
sdtasdt0(sK7,sz10) = sK7,
inference(superposition,[status(thm)],[c_76,c_100]) ).
tcf(c_10272,plain,
sdtasdt0(xr,sz10) = xr,
inference(superposition,[status(thm)],[c_79,c_100]) ).
tcf(c_10274,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(superposition,[status(thm)],[c_102,c_100]) ).
tcf(c_10282,plain,
sdtasdt0(sz10,xn) = xn,
inference(superposition,[status(thm)],[c_49,c_101]) ).
tcf(c_10283,plain,
sdtasdt0(sz10,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_101]) ).
tcf(c_10284,plain,
sdtasdt0(sz10,xp) = xp,
inference(superposition,[status(thm)],[c_51,c_101]) ).
tcf(c_10285,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK2(X0,X1)) = sK2(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_101]) ).
tcf(c_10286,plain,
sdtasdt0(sz10,sK6) = sK6,
inference(superposition,[status(thm)],[c_73,c_101]) ).
tcf(c_10287,plain,
sdtasdt0(sz10,sK7) = sK7,
inference(superposition,[status(thm)],[c_76,c_101]) ).
tcf(c_10288,plain,
sdtasdt0(sz10,xr) = xr,
inference(superposition,[status(thm)],[c_79,c_101]) ).
tcf(c_10294,plain,
( sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10234,c_212]) ).
tcf(c_10295,plain,
sdtlseqdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_10294,c_98,c_49]) ).
tcf(c_10296,plain,
( sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10235,c_212]) ).
tcf(c_10297,plain,
sdtlseqdt0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_10296,c_98,c_50]) ).
tcf(c_10298,plain,
( sdtlseqdt0(xp,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10236,c_212]) ).
tcf(c_10299,plain,
sdtlseqdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_10298,c_98,c_51]) ).
tcf(c_10300,plain,
( sdtlseqdt0(sK6,sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10238,c_212]) ).
tcf(c_10301,plain,
sdtlseqdt0(sK6,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_10300,c_73,c_98]) ).
tcf(c_10302,plain,
( sdtlseqdt0(sK7,sK7)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10239,c_212]) ).
tcf(c_10303,plain,
sdtlseqdt0(sK7,sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_10302,c_76,c_98]) ).
tcf(c_10304,plain,
( sdtlseqdt0(xr,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10240,c_212]) ).
tcf(c_10306,plain,
sdtlseqdt0(xr,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_10304,c_79,c_98]) ).
tcf(c_10321,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_101]) ).
tcf(c_10322,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_100]) ).
tcf(c_10323,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_97]) ).
tcf(c_10324,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_96]) ).
tcf(c_10325,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_95]) ).
tcf(c_10326,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_94]) ).
tcf(c_10327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_215]) ).
tcf(c_10363,plain,
( aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_74,c_126]) ).
tcf(c_10379,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_101]) ).
tcf(c_10380,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_100]) ).
tcf(c_10381,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_97]) ).
tcf(c_10382,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_96]) ).
tcf(c_10383,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_95]) ).
tcf(c_10384,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_94]) ).
tcf(c_10385,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(X0,X1),X2),sdtasdt0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_215]) ).
tcf(c_10386,plain,
aNaturalNumber0(sdtasdt0(xp,sK6)),
inference(forward_subsumption_resolution,[status(thm)],[c_10363,c_50,c_49]) ).
tcf(c_10422,plain,
( doDivides0(xn,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_74,c_209]) ).
tcf(c_10423,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10211,c_209]) ).
tcf(c_10425,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10210,c_209]) ).
tcf(c_10426,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10203,c_209]) ).
tcf(c_10427,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10204,c_209]) ).
tcf(c_10428,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10205,c_209]) ).
tcf(c_10429,plain,
( doDivides0(sK6,sz00)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10207,c_209]) ).
tcf(c_10430,plain,
( doDivides0(sK7,sz00)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10208,c_209]) ).
tcf(c_10431,plain,
( doDivides0(xr,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10209,c_209]) ).
tcf(c_10438,plain,
doDivides0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_10425,c_98]) ).
tcf(c_10439,plain,
doDivides0(xr,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_10431,c_79,c_98]) ).
tcf(c_10440,plain,
doDivides0(sK7,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_10430,c_76,c_98]) ).
tcf(c_10441,plain,
doDivides0(sK6,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_10429,c_73,c_98]) ).
tcf(c_10442,plain,
doDivides0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_10428,c_98,c_51]) ).
tcf(c_10443,plain,
doDivides0(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_10427,c_98,c_50]) ).
tcf(c_10444,plain,
doDivides0(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_10426,c_98,c_49]) ).
tcf(c_10445,plain,
doDivides0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_10423,c_102,c_98]) ).
tcf(c_10446,plain,
doDivides0(xn,sdtasdt0(xp,sK6)),
inference(forward_subsumption_resolution,[status(thm)],[c_10422,c_50,c_49]) ).
tcf(c_10454,plain,
sdtasdt0(sz10,sdtasdt0(xp,sK6)) = sdtasdt0(xp,sK6),
inference(superposition,[status(thm)],[c_10386,c_101]) ).
tcf(c_10455,plain,
sdtasdt0(sdtasdt0(xp,sK6),sz10) = sdtasdt0(xp,sK6),
inference(superposition,[status(thm)],[c_10386,c_100]) ).
tcf(c_10456,plain,
sdtpldt0(sz00,sdtasdt0(xp,sK6)) = sdtasdt0(xp,sK6),
inference(superposition,[status(thm)],[c_10386,c_97]) ).
tcf(c_10457,plain,
sdtpldt0(sdtasdt0(xp,sK6),sz00) = sdtasdt0(xp,sK6),
inference(superposition,[status(thm)],[c_10386,c_96]) ).
tcf(c_10458,plain,
sdtasdt0(sz00,sdtasdt0(xp,sK6)) = sz00,
inference(superposition,[status(thm)],[c_10386,c_95]) ).
tcf(c_10459,plain,
sdtasdt0(sdtasdt0(xp,sK6),sz00) = sz00,
inference(superposition,[status(thm)],[c_10386,c_94]) ).
tcf(c_10460,plain,
! [X0: $i] :
( ( sdtmndt0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10386,c_215]) ).
tcf(c_10464,plain,
( sdtlseqdt0(sz10,xp)
| ( xp = sz10 )
| ( xp = sz00 )
| ~ aNaturalNumber0(xp) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_10465,plain,
( aNaturalNumber0(sK10(xp))
| ( xp = sz10 )
| ( xp = sz00 )
| ~ aNaturalNumber0(xp) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_10471,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10241,c_212]) ).
tcf(c_10472,plain,
sdtlseqdt0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_10471,c_98]) ).
tcf(c_10474,plain,
( sdtlseqdt0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10242,c_212]) ).
tcf(c_10475,plain,
sdtlseqdt0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_10474,c_102,c_98]) ).
tcf(c_10485,plain,
( sdtlseqdt0(xn,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_140,c_83]) ).
tcf(c_10489,plain,
( sdtlseqdt0(xn,xr)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10485,c_79,c_49]) ).
tcf(c_10604,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10250,c_212]) ).
tcf(c_10605,plain,
sdtlseqdt0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_10604,c_98,c_49]) ).
tcf(c_10611,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10251,c_212]) ).
tcf(c_10612,plain,
sdtlseqdt0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_10611,c_98,c_50]) ).
tcf(c_10614,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10252,c_212]) ).
tcf(c_10615,plain,
sdtlseqdt0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_10614,c_98,c_51]) ).
tcf(c_10620,plain,
( sdtlseqdt0(sz00,sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10254,c_212]) ).
tcf(c_10621,plain,
sdtlseqdt0(sz00,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_10620,c_73,c_98]) ).
tcf(c_10630,plain,
( sdtlseqdt0(sz00,sK7)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10255,c_212]) ).
tcf(c_10631,plain,
sdtlseqdt0(sz00,sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_10630,c_76,c_98]) ).
tcf(c_10633,plain,
( sdtlseqdt0(sz00,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10256,c_212]) ).
tcf(c_10634,plain,
sdtlseqdt0(sz00,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_10633,c_79,c_98]) ).
tcf(c_10643,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK8(X0,X1)) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_101]) ).
tcf(c_10644,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK8(X0,X1),sz10) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_100]) ).
tcf(c_10645,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK8(X0,X1)) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_97]) ).
tcf(c_10646,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK8(X0,X1),sz00) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_96]) ).
tcf(c_10647,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK8(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_95]) ).
tcf(c_10648,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK8(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_94]) ).
tcf(c_10649,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sK8(X0,X1),X2),sK8(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_215]) ).
tcf(c_10695,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_118]) ).
tcf(c_10696,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_118]) ).
tcf(c_10697,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_118]) ).
tcf(c_10698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK2(X0,X1),X2) = sdtpldt0(X2,sK2(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_118]) ).
tcf(c_10701,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK6) = sdtpldt0(sK6,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_118]) ).
tcf(c_10702,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK7) = sdtpldt0(sK7,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_118]) ).
tcf(c_10703,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xr) = sdtpldt0(xr,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79,c_118]) ).
tcf(c_10704,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_118]) ).
tcf(c_10705,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_118]) ).
tcf(c_10706,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_119,c_118]) ).
tcf(c_10707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK8(X0,X1),X2) = sdtpldt0(X2,sK8(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_118]) ).
tcf(c_10708,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_126,c_118]) ).
tcf(c_10709,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,sK6),X0) = sdtpldt0(X0,sdtasdt0(xp,sK6)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10386,c_118]) ).
tcf(c_10791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK9(X0,X1),X2) = sdtpldt0(X2,sK9(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_118]) ).
tcf(c_10792,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK9(X0,X1)) = sK9(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_101]) ).
tcf(c_10793,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK9(X0,X1),sz10) = sK9(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_100]) ).
tcf(c_10794,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK9(X0,X1)) = sK9(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_97]) ).
tcf(c_10795,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK9(X0,X1),sz00) = sK9(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_96]) ).
tcf(c_10796,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK9(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_95]) ).
tcf(c_10797,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK9(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_94]) ).
tcf(c_10798,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sK9(X0,X1),X2),sK9(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_215]) ).
tcf(c_10841,plain,
( ( xp = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sz10,xp)
| ~ sdtlseqdt0(xp,sz10) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_10853,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_125]) ).
tcf(c_10854,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_125]) ).
tcf(c_10855,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_125]) ).
tcf(c_10856,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK2(X0,X1),X2) = sdtasdt0(X2,sK2(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_125]) ).
tcf(c_10859,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK6) = sdtasdt0(sK6,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_125]) ).
tcf(c_10860,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK7) = sdtasdt0(sK7,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_125]) ).
tcf(c_10861,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xr) = sdtasdt0(xr,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79,c_125]) ).
tcf(c_10862,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_125]) ).
tcf(c_10863,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_125]) ).
tcf(c_10864,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_119,c_125]) ).
tcf(c_10865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK8(X0,X1),X2) = sdtasdt0(X2,sK8(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_125]) ).
tcf(c_10866,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_126,c_125]) ).
tcf(c_10867,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK9(X0,X1),X2) = sdtasdt0(X2,sK9(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_125]) ).
tcf(c_10868,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,sK6),X0) = sdtasdt0(X0,sdtasdt0(xp,sK6)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10386,c_125]) ).
tcf(c_10933,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X1,X0)
| ( xr != X1 )
| ( xn != X0 ) ),
inference(instantiation,[status(thm)],[c_8624]) ).
tcf(c_10958,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10258,c_212]) ).
tcf(c_10959,plain,
sdtlseqdt0(sz00,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_10958,c_102,c_98]) ).
tcf(c_10960,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10266,c_209]) ).
tcf(c_10962,plain,
doDivides0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_10960,c_102,c_49]) ).
tcf(c_10963,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10267,c_209]) ).
tcf(c_10965,plain,
doDivides0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_10963,c_102,c_50]) ).
tcf(c_10966,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10268,c_209]) ).
tcf(c_10968,plain,
doDivides0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_10966,c_102,c_51]) ).
tcf(c_10969,plain,
( doDivides0(sK6,sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_10270,c_209]) ).
tcf(c_10971,plain,
doDivides0(sK6,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_10969,c_73,c_102]) ).
tcf(c_10972,plain,
( doDivides0(xr,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_10272,c_209]) ).
tcf(c_10974,plain,
doDivides0(xr,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_10972,c_79,c_102]) ).
tcf(c_10983,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK10(X0),X1) = sdtasdt0(X1,sK10(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_125]) ).
tcf(c_10984,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK10(X0),X1) = sdtpldt0(X1,sK10(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_118]) ).
tcf(c_10985,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK10(X0)) = sK10(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_101]) ).
tcf(c_10986,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK10(X0),sz10) = sK10(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_100]) ).
tcf(c_10987,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK10(X0)) = sK10(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_97]) ).
tcf(c_10988,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK10(X0),sz00) = sK10(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_96]) ).
tcf(c_10989,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK10(X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_95]) ).
tcf(c_10990,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK10(X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_94]) ).
tcf(c_10991,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sK10(X0),X1),sK10(X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_215]) ).
tcf(c_11032,plain,
! [X0: $i] :
( sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_11065,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),X2) = sdtasdt0(X2,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_125]) ).
tcf(c_11066,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),X2) = sdtpldt0(X2,sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_118]) ).
tcf(c_11067,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtmndt0(X1,X0)) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_101]) ).
tcf(c_11068,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),sz10) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_100]) ).
tcf(c_11069,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtmndt0(X1,X0)) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_97]) ).
tcf(c_11070,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),sz00) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_96]) ).
tcf(c_11071,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtmndt0(X1,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_95]) ).
tcf(c_11072,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtmndt0(X1,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_94]) ).
tcf(c_11073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(sdtpldt0(sdtmndt0(X1,X0),X2),sdtmndt0(X1,X0)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_215]) ).
tcf(c_11140,plain,
( doDivides0(sK7,sK7)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_10271,c_209]) ).
tcf(c_11142,plain,
doDivides0(sK7,sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_11140,c_76,c_102]) ).
tcf(c_11143,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_10274,c_209]) ).
tcf(c_11145,plain,
doDivides0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_11143,c_102]) ).
tcf(c_11146,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10282,c_209]) ).
tcf(c_11148,plain,
doDivides0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_11146,c_102,c_49]) ).
tcf(c_11149,plain,
( doDivides0(sz10,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10283,c_209]) ).
tcf(c_11151,plain,
doDivides0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_11149,c_102,c_50]) ).
tcf(c_11153,plain,
( doDivides0(sz10,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10284,c_209]) ).
tcf(c_11155,plain,
doDivides0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_11153,c_102,c_51]) ).
tcf(c_11156,plain,
( doDivides0(sz10,sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_10286,c_209]) ).
tcf(c_11158,plain,
doDivides0(sz10,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_11156,c_73,c_102]) ).
tcf(c_11159,plain,
( doDivides0(sz10,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_10288,c_209]) ).
tcf(c_11161,plain,
doDivides0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_11159,c_79,c_102]) ).
tcf(c_11187,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_74,c_84]) ).
tcf(c_11210,plain,
( sdtlseqdt0(sz10,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10282,c_84]) ).
tcf(c_11211,plain,
( sdtlseqdt0(sz10,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10283,c_84]) ).
tcf(c_11212,plain,
( sdtlseqdt0(sz10,xp)
| ( xp = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10284,c_84]) ).
tcf(c_11213,plain,
( sdtlseqdt0(sz10,sK6)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_10286,c_84]) ).
tcf(c_11214,plain,
( sdtlseqdt0(sz10,xr)
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_10288,c_84]) ).
tcf(c_11215,plain,
( sdtlseqdt0(sz10,xr)
| ( sz00 = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11214,c_79,c_102]) ).
tcf(c_11218,plain,
( sdtlseqdt0(sz10,sK6)
| ( sz00 = sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11213,c_73,c_102]) ).
tcf(c_11221,plain,
sdtlseqdt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_11212,c_68,c_102,c_51]) ).
tcf(c_11222,plain,
( sdtlseqdt0(sz10,xm)
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11211,c_102,c_50]) ).
tcf(c_11225,plain,
( sdtlseqdt0(sz10,xn)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11210,c_102,c_49]) ).
tcf(c_11228,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,sK6))
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11187,c_50,c_49]) ).
tcf(c_11247,plain,
( ( xp = sz10 )
| ( xp = sz00 )
| ( sK10(xp) = sz10 )
| ( sK10(xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK10(xp)) ),
inference(superposition,[status(thm)],[c_130,c_71]) ).
tcf(c_11248,plain,
( ( sK10(xp) = sz10 )
| ( sK10(xp) = xp )
| ~ aNaturalNumber0(sK10(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11247,c_69,c_68,c_51]) ).
tcf(c_11269,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK11(X0),X1) = sdtasdt0(X1,sK11(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_125]) ).
tcf(c_11270,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK11(X0),X1) = sdtpldt0(X1,sK11(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_118]) ).
tcf(c_11271,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK11(X0)) = sK11(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_101]) ).
tcf(c_11272,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK11(X0),sz10) = sK11(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_100]) ).
tcf(c_11273,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK11(X0)) = sK11(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_97]) ).
tcf(c_11274,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK11(X0),sz00) = sK11(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_96]) ).
tcf(c_11275,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK11(X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_95]) ).
tcf(c_11276,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK11(X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_94]) ).
tcf(c_11277,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sK11(X0),X1),sK11(X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_215]) ).
tcf(c_11403,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(xr,X0) = X2 )
| ( X2 != X1 )
| ( sdtpldt0(xr,X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_8617]) ).
tcf(c_11408,plain,
( doDivides0(sz10,sK7)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_10287,c_209]) ).
tcf(c_11410,plain,
( sdtlseqdt0(sz10,sK7)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_10287,c_84]) ).
tcf(c_11411,plain,
doDivides0(sz10,sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_11408,c_76,c_102]) ).
tcf(c_11412,plain,
( sdtlseqdt0(sz10,sK7)
| ( sz00 = sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11410,c_76,c_102]) ).
tcf(c_11438,plain,
( doDivides0(sdtasdt0(xp,sK6),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10459,c_209]) ).
tcf(c_11441,plain,
doDivides0(sdtasdt0(xp,sK6),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_11438,c_98,c_10386]) ).
tcf(c_11443,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10456,c_212]) ).
tcf(c_11444,plain,
sdtlseqdt0(sz00,sdtasdt0(xp,sK6)),
inference(forward_subsumption_resolution,[status(thm)],[c_11443,c_98,c_10386]) ).
tcf(c_11470,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_80,c_90]) ).
tcf(c_11487,plain,
xn != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11470,c_68,c_79,c_51]) ).
tcf(c_11488,plain,
sdtlseqdt0(sz10,xn),
inference(backward_subsumption_resolution,[status(thm)],[c_11225,c_11487]) ).
tcf(c_11519,plain,
( doDivides0(sz10,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10454,c_209]) ).
tcf(c_11521,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10454,c_84]) ).
tcf(c_11522,plain,
doDivides0(sz10,sdtasdt0(xp,sK6)),
inference(forward_subsumption_resolution,[status(thm)],[c_11519,c_102,c_10386]) ).
tcf(c_11523,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11521,c_102,c_10386]) ).
tcf(c_11526,plain,
( doDivides0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10455,c_209]) ).
tcf(c_11528,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10455,c_84]) ).
tcf(c_11529,plain,
doDivides0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),
inference(forward_subsumption_resolution,[status(thm)],[c_11526,c_102,c_10386]) ).
tcf(c_11530,plain,
sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),
inference(forward_subsumption_resolution,[status(thm)],[c_11528,c_103,c_102,c_10386]) ).
tcf(c_11539,plain,
sdtmndt0(sdtpldt0(xn,xn),xn) = xn,
inference(superposition,[status(thm)],[c_49,c_10159]) ).
tcf(c_11540,plain,
sdtmndt0(sdtpldt0(xn,xm),xn) = xm,
inference(superposition,[status(thm)],[c_50,c_10159]) ).
tcf(c_11541,plain,
sdtmndt0(sdtpldt0(xn,xp),xn) = xp,
inference(superposition,[status(thm)],[c_51,c_10159]) ).
tcf(c_11542,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xn,sK2(X0,X1)),xn) = sK2(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_10159]) ).
tcf(c_11545,plain,
sdtmndt0(sdtpldt0(xn,sK6),xn) = sK6,
inference(superposition,[status(thm)],[c_73,c_10159]) ).
tcf(c_11546,plain,
sdtmndt0(sdtpldt0(xn,sK7),xn) = sK7,
inference(superposition,[status(thm)],[c_76,c_10159]) ).
tcf(c_11547,plain,
sdtmndt0(sdtpldt0(xn,xr),xn) = xr,
inference(superposition,[status(thm)],[c_79,c_10159]) ).
tcf(c_11548,plain,
sdtmndt0(sdtpldt0(xn,sz00),xn) = sz00,
inference(superposition,[status(thm)],[c_98,c_10159]) ).
tcf(c_11549,plain,
sdtmndt0(sdtpldt0(xn,sz10),xn) = sz10,
inference(superposition,[status(thm)],[c_102,c_10159]) ).
tcf(c_11550,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xn,sdtpldt0(X0,X1)),xn) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_10159]) ).
tcf(c_11551,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xn,sK8(X0,X1)),xn) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_10159]) ).
tcf(c_11552,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xn,sdtasdt0(X0,X1)),xn) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_10159]) ).
tcf(c_11553,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xn,sK9(X0,X1)),xn) = sK9(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_10159]) ).
tcf(c_11554,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xn,sK10(X0)),xn) = sK10(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_10159]) ).
tcf(c_11555,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xn,sK11(X0)),xn) = sK11(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_10159]) ).
tcf(c_11556,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xn,sdtmndt0(X1,X0)),xn) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_10159]) ).
tcf(c_11557,plain,
sdtmndt0(sdtpldt0(xn,sdtasdt0(xp,sK6)),xn) = sdtasdt0(xp,sK6),
inference(superposition,[status(thm)],[c_10386,c_10159]) ).
tcf(c_11558,plain,
sdtmndt0(xn,xn) = sz00,
inference(light_normalisation,[status(thm)],[c_11548,c_10234]) ).
tcf(c_11613,plain,
( iLess0(xp,xn)
| ( xn = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_78,c_120]) ).
tcf(c_11614,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_84,c_120]) ).
tcf(c_11615,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_120]) ).
tcf(c_11616,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_99,c_120]) ).
tcf(c_11617,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_212,c_120]) ).
tcf(c_11619,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| iLess0(X1,X0)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_120]) ).
tcf(c_11627,plain,
( iLess0(sz10,xp)
| ( xp = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_11221,c_120]) ).
tcf(c_11629,plain,
( iLess0(xn,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10489,c_120]) ).
tcf(c_11630,plain,
( iLess0(sz00,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10605,c_120]) ).
tcf(c_11631,plain,
( iLess0(sz00,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10612,c_120]) ).
tcf(c_11632,plain,
( iLess0(sz00,xp)
| ( xp = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10615,c_120]) ).
tcf(c_11633,plain,
( iLess0(sz00,sK6)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10621,c_120]) ).
tcf(c_11634,plain,
( iLess0(sz00,sK7)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10631,c_120]) ).
tcf(c_11635,plain,
( iLess0(sz00,xr)
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10634,c_120]) ).
tcf(c_11636,plain,
( iLess0(sz00,sz10)
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10959,c_120]) ).
tcf(c_11637,plain,
( iLess0(xn,sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ( sdtasdt0(xp,sK6) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11228,c_120]) ).
tcf(c_11638,plain,
( iLess0(sz10,xn)
| ( xn = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_11488,c_120]) ).
tcf(c_11639,plain,
( iLess0(sz10,xm)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_11222,c_120]) ).
tcf(c_11640,plain,
( iLess0(sz10,sK6)
| ( sz10 = sK6 )
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11218,c_120]) ).
tcf(c_11641,plain,
( iLess0(sz10,xr)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11215,c_120]) ).
tcf(c_11642,plain,
( iLess0(sz10,sK7)
| ( sz10 = sK7 )
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11412,c_120]) ).
tcf(c_11643,plain,
( iLess0(sz00,sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11444,c_120]) ).
tcf(c_11645,plain,
( iLess0(sz10,xn)
| ( xn = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11638,c_102,c_49]) ).
tcf(c_11648,plain,
iLess0(sz00,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_11636,c_103,c_102,c_98]) ).
tcf(c_11649,plain,
( iLess0(sz00,xr)
| ( sz00 = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11635,c_79,c_98]) ).
tcf(c_11652,plain,
( iLess0(sz00,sK7)
| ( sz00 = sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11634,c_76,c_98]) ).
tcf(c_11655,plain,
( iLess0(sz00,sK6)
| ( sz00 = sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11633,c_73,c_98]) ).
tcf(c_11658,plain,
iLess0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_11632,c_68,c_98,c_51]) ).
tcf(c_11659,plain,
( iLess0(sz00,xm)
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11631,c_98,c_50]) ).
tcf(c_11662,plain,
iLess0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_11630,c_11487,c_98,c_49]) ).
tcf(c_11663,plain,
( iLess0(xn,xr)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11629,c_79,c_49]) ).
tcf(c_11666,plain,
iLess0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_11627,c_69,c_102,c_51]) ).
tcf(c_11667,plain,
( iLess0(xp,xn)
| ( xn = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11613,c_51,c_49]) ).
tcf(c_11680,plain,
( iLess0(sz10,sK7)
| ( sz10 = sK7 )
| ( sz00 = sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11642,c_76,c_102]) ).
tcf(c_11684,plain,
( iLess0(sz10,xr)
| ( sz10 = xr )
| ( sz00 = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11641,c_79,c_102]) ).
tcf(c_11688,plain,
( iLess0(sz10,sK6)
| ( sz10 = sK6 )
| ( sz00 = sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11640,c_73,c_102]) ).
tcf(c_11692,plain,
( iLess0(sz10,xm)
| ( xm = sz10 )
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11639,c_102,c_50]) ).
tcf(c_11696,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11616,c_102]) ).
tcf(c_11701,plain,
( iLess0(sz00,sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11643,c_98,c_10386]) ).
tcf(c_11709,plain,
( iLess0(xn,sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ( sdtasdt0(xp,sK6) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11637,c_49,c_10386]) ).
tcf(c_11730,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_209,c_127]) ).
tcf(c_11731,plain,
! [X0: $i] :
( sdtlseqdt0(sK10(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(X0)) ),
inference(superposition,[status(thm)],[c_130,c_127]) ).
tcf(c_11733,plain,
( sdtlseqdt0(xp,sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_924,c_127]) ).
tcf(c_11734,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10446,c_127]) ).
tcf(c_11758,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11734,c_49,c_10386]) ).
tcf(c_11761,plain,
( sdtlseqdt0(xp,sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11733,c_51,c_10386]) ).
tcf(c_11791,plain,
! [X0: $i] :
( isPrime0(X0)
| sdtlseqdt0(sK11(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK11(X0)) ),
inference(superposition,[status(thm)],[c_135,c_127]) ).
tcf(c_11806,plain,
( ( sdtpldt0(xp,sK8(xp,xn)) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_78,c_112]) ).
tcf(c_11807,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sK8(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_112]) ).
tcf(c_11808,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sK8(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_112]) ).
tcf(c_11809,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK8(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_99,c_112]) ).
tcf(c_11810,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK8(X0,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_212,c_112]) ).
tcf(c_11811,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK8(X0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_143,c_112]) ).
tcf(c_11812,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK8(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_112]) ).
tcf(c_11813,plain,
( ( sdtpldt0(sz00,sK8(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10472,c_112]) ).
tcf(c_11814,plain,
( ( sdtpldt0(xn,sK8(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10295,c_112]) ).
tcf(c_11815,plain,
( ( sdtpldt0(xm,sK8(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10297,c_112]) ).
tcf(c_11816,plain,
( ( sdtpldt0(xp,sK8(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10299,c_112]) ).
tcf(c_11817,plain,
( ( sdtpldt0(sK6,sK8(sK6,sK6)) = sK6 )
| ~ aNaturalNumber0(sK6) ),
inference(superposition,[status(thm)],[c_10301,c_112]) ).
tcf(c_11818,plain,
( ( sdtpldt0(sK7,sK8(sK7,sK7)) = sK7 )
| ~ aNaturalNumber0(sK7) ),
inference(superposition,[status(thm)],[c_10303,c_112]) ).
tcf(c_11819,plain,
( ( sdtpldt0(xr,sK8(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_10306,c_112]) ).
tcf(c_11820,plain,
( ( sdtpldt0(sz10,sK8(sz10,xp)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_11221,c_112]) ).
tcf(c_11821,plain,
( ( sdtpldt0(sz10,sK8(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_10475,c_112]) ).
tcf(c_11822,plain,
( ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10489,c_112]) ).
tcf(c_11823,plain,
( ( sdtpldt0(sz00,sK8(sz00,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10605,c_112]) ).
tcf(c_11824,plain,
( ( sdtpldt0(sz00,sK8(sz00,xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10612,c_112]) ).
tcf(c_11825,plain,
( ( sdtpldt0(sz00,sK8(sz00,xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10615,c_112]) ).
tcf(c_11826,plain,
( ( sdtpldt0(sz00,sK8(sz00,sK6)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10621,c_112]) ).
tcf(c_11827,plain,
( ( sdtpldt0(sz00,sK8(sz00,sK7)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10631,c_112]) ).
tcf(c_11828,plain,
( ( sdtpldt0(sz00,sK8(sz00,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10634,c_112]) ).
tcf(c_11829,plain,
( ( sdtpldt0(sz00,sK8(sz00,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10959,c_112]) ).
tcf(c_11830,plain,
( ( xm = sz00 )
| ( sdtpldt0(xn,sK8(xn,sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11228,c_112]) ).
tcf(c_11831,plain,
( ( sdtpldt0(sz10,sK8(sz10,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_11488,c_112]) ).
tcf(c_11832,plain,
( ( xm = sz00 )
| ( sdtpldt0(sz10,sK8(sz10,xm)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_11222,c_112]) ).
tcf(c_11833,plain,
( ( sz00 = sK6 )
| ( sdtpldt0(sz10,sK8(sz10,sK6)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11218,c_112]) ).
tcf(c_11834,plain,
( ( sz00 = xr )
| ( sdtpldt0(sz10,sK8(sz10,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11215,c_112]) ).
tcf(c_11835,plain,
( ( sz00 = sK7 )
| ( sdtpldt0(sz10,sK8(sz10,sK7)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11412,c_112]) ).
tcf(c_11836,plain,
( ( sdtpldt0(sz00,sK8(sz00,sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11444,c_112]) ).
tcf(c_11837,plain,
( ( sdtpldt0(sdtasdt0(xp,sK6),sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11530,c_112]) ).
tcf(c_11838,plain,
sdtpldt0(sz10,sK8(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_11821,c_102]) ).
tcf(c_11839,plain,
sdtpldt0(xr,sK8(xr,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_11819,c_79]) ).
tcf(c_11840,plain,
sdtpldt0(sK7,sK8(sK7,sK7)) = sK7,
inference(forward_subsumption_resolution,[status(thm)],[c_11818,c_76]) ).
tcf(c_11841,plain,
sdtpldt0(sK6,sK8(sK6,sK6)) = sK6,
inference(forward_subsumption_resolution,[status(thm)],[c_11817,c_73]) ).
tcf(c_11842,plain,
sdtpldt0(xp,sK8(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_11816,c_51]) ).
tcf(c_11843,plain,
sdtpldt0(xm,sK8(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_11815,c_50]) ).
tcf(c_11844,plain,
sdtpldt0(xn,sK8(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_11814,c_49]) ).
tcf(c_11845,plain,
sdtpldt0(sz00,sK8(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_11813,c_98]) ).
tcf(c_11848,plain,
sdtpldt0(sz10,sK8(sz10,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_11831,c_102,c_49]) ).
tcf(c_11849,plain,
sdtpldt0(sz00,sK8(sz00,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_11829,c_102,c_98]) ).
tcf(c_11850,plain,
sdtpldt0(sz00,sK8(sz00,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_11828,c_79,c_98]) ).
tcf(c_11851,plain,
sdtpldt0(sz00,sK8(sz00,sK7)) = sK7,
inference(forward_subsumption_resolution,[status(thm)],[c_11827,c_76,c_98]) ).
tcf(c_11852,plain,
sdtpldt0(sz00,sK8(sz00,sK6)) = sK6,
inference(forward_subsumption_resolution,[status(thm)],[c_11826,c_73,c_98]) ).
tcf(c_11853,plain,
sdtpldt0(sz00,sK8(sz00,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_11825,c_98,c_51]) ).
tcf(c_11854,plain,
sdtpldt0(sz00,sK8(sz00,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_11824,c_98,c_50]) ).
tcf(c_11855,plain,
sdtpldt0(sz00,sK8(sz00,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_11823,c_98,c_49]) ).
tcf(c_11856,plain,
sdtpldt0(sz10,sK8(sz10,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_11820,c_102,c_51]) ).
tcf(c_11857,plain,
sdtpldt0(xp,sK8(xp,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_11806,c_51,c_49]) ).
tcf(c_11866,plain,
( ( sz00 = sK7 )
| ( sdtpldt0(sz10,sK8(sz10,sK7)) = sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11835,c_76,c_102]) ).
tcf(c_11869,plain,
( ( sz00 = xr )
| ( sdtpldt0(sz10,sK8(sz10,xr)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11834,c_79,c_102]) ).
tcf(c_11872,plain,
( ( sz00 = sK6 )
| ( sdtpldt0(sz10,sK8(sz10,sK6)) = sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11833,c_73,c_102]) ).
tcf(c_11875,plain,
( ( xm = sz00 )
| ( sdtpldt0(sz10,sK8(sz10,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11832,c_102,c_50]) ).
tcf(c_11878,plain,
( ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,xr)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11822,c_79,c_49]) ).
tcf(c_11881,plain,
sdtpldt0(sz00,sK8(sz00,sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_11836,c_98,c_10386]) ).
tcf(c_11882,plain,
sdtpldt0(sdtasdt0(xp,sK6),sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_11837,c_10386]) ).
tcf(c_11883,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK8(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11809,c_102]) ).
tcf(c_11892,plain,
( ( xm = sz00 )
| ( sdtpldt0(xn,sK8(xn,sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11830,c_49,c_10386]) ).
tcf(c_11945,plain,
! [X0: $i] :
( sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xn)
| ( xr != X0 )
| ( xn != xn ) ),
inference(instantiation,[status(thm)],[c_10933]) ).
tcf(c_11946,plain,
xn = xn,
inference(instantiation,[status(thm)],[c_8615]) ).
tcf(c_11947,plain,
( sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(sz00,xn)
| ( xr != sz00 )
| ( xn != xn ) ),
inference(instantiation,[status(thm)],[c_11945]) ).
tcf(c_11948,plain,
! [X0: $i,X1: $i] :
( ( xn = X0 )
| ( xn != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_8617]) ).
tcf(c_12015,plain,
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_11878,c_91]) ).
tcf(c_12016,plain,
( ( xn = xr )
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_11878,c_90]) ).
tcf(c_12019,plain,
( ( xn = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12016,c_11487,c_49]) ).
tcf(c_12023,plain,
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12015,c_49]) ).
tcf(c_12059,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK9(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_209,c_123]) ).
tcf(c_12060,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK10(X0),sK9(sK10(X0),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(X0)) ),
inference(superposition,[status(thm)],[c_130,c_123]) ).
tcf(c_12061,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK11(X0),sK9(sK11(X0),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK11(X0)) ),
inference(superposition,[status(thm)],[c_135,c_123]) ).
tcf(c_12062,plain,
( ( sdtasdt0(sz00,sK9(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10438,c_123]) ).
tcf(c_12063,plain,
( ( sdtasdt0(xp,sK9(xp,sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_924,c_123]) ).
tcf(c_12064,plain,
( ( sdtasdt0(xn,sK9(xn,sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10446,c_123]) ).
tcf(c_12065,plain,
( ( sdtasdt0(sz10,sK9(sz10,sz00)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10445,c_123]) ).
tcf(c_12066,plain,
( ( sdtasdt0(xn,sK9(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10444,c_123]) ).
tcf(c_12067,plain,
( ( sdtasdt0(xm,sK9(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10443,c_123]) ).
tcf(c_12068,plain,
( ( sdtasdt0(xp,sK9(xp,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10442,c_123]) ).
tcf(c_12069,plain,
( ( sdtasdt0(sK6,sK9(sK6,sz00)) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10441,c_123]) ).
tcf(c_12070,plain,
( ( sdtasdt0(sK7,sK9(sK7,sz00)) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10440,c_123]) ).
tcf(c_12071,plain,
( ( sdtasdt0(xr,sK9(xr,sz00)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10439,c_123]) ).
tcf(c_12072,plain,
( ( sdtasdt0(xn,sK9(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10962,c_123]) ).
tcf(c_12073,plain,
( ( sdtasdt0(xm,sK9(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10965,c_123]) ).
tcf(c_12074,plain,
( ( sdtasdt0(xp,sK9(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10968,c_123]) ).
tcf(c_12075,plain,
( ( sdtasdt0(sK6,sK9(sK6,sK6)) = sK6 )
| ~ aNaturalNumber0(sK6) ),
inference(superposition,[status(thm)],[c_10971,c_123]) ).
tcf(c_12076,plain,
( ( sdtasdt0(xr,sK9(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_10974,c_123]) ).
tcf(c_12077,plain,
( ( sdtasdt0(sK7,sK9(sK7,sK7)) = sK7 )
| ~ aNaturalNumber0(sK7) ),
inference(superposition,[status(thm)],[c_11142,c_123]) ).
tcf(c_12078,plain,
( ( sdtasdt0(sz10,sK9(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11145,c_123]) ).
tcf(c_12079,plain,
( ( sdtasdt0(sz10,sK9(sz10,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_11148,c_123]) ).
tcf(c_12080,plain,
( ( sdtasdt0(sz10,sK9(sz10,xm)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_11151,c_123]) ).
tcf(c_12081,plain,
( ( sdtasdt0(sz10,sK9(sz10,xp)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_11155,c_123]) ).
tcf(c_12082,plain,
( ( sdtasdt0(sz10,sK9(sz10,sK6)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11158,c_123]) ).
tcf(c_12083,plain,
( ( sdtasdt0(sz10,sK9(sz10,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11161,c_123]) ).
tcf(c_12084,plain,
( ( sdtasdt0(sz10,sK9(sz10,sK7)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11411,c_123]) ).
tcf(c_12085,plain,
( ( sdtasdt0(sdtasdt0(xp,sK6),sK9(sdtasdt0(xp,sK6),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11441,c_123]) ).
tcf(c_12086,plain,
( ( sdtasdt0(sz10,sK9(sz10,sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11522,c_123]) ).
tcf(c_12087,plain,
( ( sdtasdt0(sdtasdt0(xp,sK6),sK9(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11529,c_123]) ).
tcf(c_12088,plain,
sdtasdt0(sz10,sK9(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_12078,c_102]) ).
tcf(c_12089,plain,
sdtasdt0(sK7,sK9(sK7,sK7)) = sK7,
inference(forward_subsumption_resolution,[status(thm)],[c_12077,c_76]) ).
tcf(c_12090,plain,
sdtasdt0(xr,sK9(xr,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_12076,c_79]) ).
tcf(c_12091,plain,
sdtasdt0(sK6,sK9(sK6,sK6)) = sK6,
inference(forward_subsumption_resolution,[status(thm)],[c_12075,c_73]) ).
tcf(c_12092,plain,
sdtasdt0(xp,sK9(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_12074,c_51]) ).
tcf(c_12093,plain,
sdtasdt0(xm,sK9(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_12073,c_50]) ).
tcf(c_12094,plain,
sdtasdt0(xn,sK9(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_12072,c_49]) ).
tcf(c_12095,plain,
sdtasdt0(sz00,sK9(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12062,c_98]) ).
tcf(c_12096,plain,
sdtasdt0(sz10,sK9(sz10,sK7)) = sK7,
inference(forward_subsumption_resolution,[status(thm)],[c_12084,c_76,c_102]) ).
tcf(c_12097,plain,
sdtasdt0(sz10,sK9(sz10,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_12083,c_79,c_102]) ).
tcf(c_12098,plain,
sdtasdt0(sz10,sK9(sz10,sK6)) = sK6,
inference(forward_subsumption_resolution,[status(thm)],[c_12082,c_73,c_102]) ).
tcf(c_12099,plain,
sdtasdt0(sz10,sK9(sz10,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_12081,c_102,c_51]) ).
tcf(c_12100,plain,
sdtasdt0(sz10,sK9(sz10,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_12080,c_102,c_50]) ).
tcf(c_12101,plain,
sdtasdt0(sz10,sK9(sz10,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_12079,c_102,c_49]) ).
tcf(c_12102,plain,
sdtasdt0(xr,sK9(xr,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12071,c_79,c_98]) ).
tcf(c_12103,plain,
sdtasdt0(sK7,sK9(sK7,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12070,c_76,c_98]) ).
tcf(c_12104,plain,
sdtasdt0(sK6,sK9(sK6,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12069,c_73,c_98]) ).
tcf(c_12105,plain,
sdtasdt0(xp,sK9(xp,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12068,c_98,c_51]) ).
tcf(c_12106,plain,
sdtasdt0(xm,sK9(xm,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12067,c_98,c_50]) ).
tcf(c_12107,plain,
sdtasdt0(xn,sK9(xn,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12066,c_98,c_49]) ).
tcf(c_12108,plain,
sdtasdt0(sz10,sK9(sz10,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12065,c_102,c_98]) ).
tcf(c_12109,plain,
sdtasdt0(sz10,sK9(sz10,sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_12086,c_102,c_10386]) ).
tcf(c_12110,plain,
sdtasdt0(sdtasdt0(xp,sK6),sK9(sdtasdt0(xp,sK6),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12085,c_98,c_10386]) ).
tcf(c_12111,plain,
sdtasdt0(xn,sK9(xn,sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_12064,c_49,c_10386]) ).
tcf(c_12112,plain,
sdtasdt0(xp,sK9(xp,sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_12063,c_51,c_10386]) ).
tcf(c_12113,plain,
sdtasdt0(sdtasdt0(xp,sK6),sK9(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_12087,c_10386]) ).
tcf(c_12216,plain,
( ( xn = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xp) ),
inference(superposition,[status(thm)],[c_78,c_142]) ).
tcf(c_12217,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_84,c_142]) ).
tcf(c_12219,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_99,c_142]) ).
tcf(c_12220,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_212,c_142]) ).
tcf(c_12230,plain,
( ( xp = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz10) ),
inference(superposition,[status(thm)],[c_11221,c_142]) ).
tcf(c_12232,plain,
( ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn) ),
inference(superposition,[status(thm)],[c_10489,c_142]) ).
tcf(c_12233,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00) ),
inference(superposition,[status(thm)],[c_10605,c_142]) ).
tcf(c_12234,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00) ),
inference(superposition,[status(thm)],[c_10612,c_142]) ).
tcf(c_12235,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00) ),
inference(superposition,[status(thm)],[c_10615,c_142]) ).
tcf(c_12236,plain,
( ( sz00 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK6,sz00) ),
inference(superposition,[status(thm)],[c_10621,c_142]) ).
tcf(c_12237,plain,
( ( sz00 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sK7,sz00) ),
inference(superposition,[status(thm)],[c_10631,c_142]) ).
tcf(c_12238,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,sz00) ),
inference(superposition,[status(thm)],[c_10634,c_142]) ).
tcf(c_12239,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz10,sz00) ),
inference(superposition,[status(thm)],[c_10959,c_142]) ).
tcf(c_12240,plain,
( ( xm = sz00 )
| ( sdtasdt0(xp,sK6) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),xn) ),
inference(superposition,[status(thm)],[c_11228,c_142]) ).
tcf(c_12241,plain,
( ( xn = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz10) ),
inference(superposition,[status(thm)],[c_11488,c_142]) ).
tcf(c_12242,plain,
( ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz10) ),
inference(superposition,[status(thm)],[c_11222,c_142]) ).
tcf(c_12243,plain,
( ( sz10 = sK6 )
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK6,sz10) ),
inference(superposition,[status(thm)],[c_11218,c_142]) ).
tcf(c_12244,plain,
( ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,sz10) ),
inference(superposition,[status(thm)],[c_11215,c_142]) ).
tcf(c_12245,plain,
( ( sz10 = sK7 )
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sK7,sz10) ),
inference(superposition,[status(thm)],[c_11412,c_142]) ).
tcf(c_12246,plain,
( ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),sz00) ),
inference(superposition,[status(thm)],[c_11444,c_142]) ).
tcf(c_12248,plain,
( ( xn = sz10 )
| ~ sdtlseqdt0(xn,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12241,c_102,c_49]) ).
tcf(c_12251,plain,
~ sdtlseqdt0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_12239,c_103,c_102,c_98]) ).
tcf(c_12252,plain,
( ( sz00 = xr )
| ~ sdtlseqdt0(xr,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12238,c_79,c_98]) ).
tcf(c_12255,plain,
( ( sz00 = sK7 )
| ~ sdtlseqdt0(sK7,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12237,c_76,c_98]) ).
tcf(c_12258,plain,
( ( sz00 = sK6 )
| ~ sdtlseqdt0(sK6,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12236,c_73,c_98]) ).
tcf(c_12261,plain,
~ sdtlseqdt0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_12235,c_68,c_98,c_51]) ).
tcf(c_12262,plain,
( ( xm = sz00 )
| ~ sdtlseqdt0(xm,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12234,c_98,c_50]) ).
tcf(c_12265,plain,
~ sdtlseqdt0(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_12233,c_11487,c_98,c_49]) ).
tcf(c_12267,plain,
~ sdtlseqdt0(xp,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_12230,c_69,c_102,c_51]) ).
tcf(c_12268,plain,
( ( xn = xp )
| ~ sdtlseqdt0(xn,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12216,c_51,c_49]) ).
tcf(c_12271,plain,
( ( sz10 = sK7 )
| ( sz00 = sK7 )
| ~ sdtlseqdt0(sK7,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12245,c_76,c_102]) ).
tcf(c_12275,plain,
( ( sz10 = xr )
| ( sz00 = xr )
| ~ sdtlseqdt0(xr,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12244,c_79,c_102]) ).
tcf(c_12279,plain,
( ( sz10 = sK6 )
| ( sz00 = sK6 )
| ~ sdtlseqdt0(sK6,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12243,c_73,c_102]) ).
tcf(c_12283,plain,
( ( xm = sz10 )
| ( xm = sz00 )
| ~ sdtlseqdt0(xm,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12242,c_102,c_50]) ).
tcf(c_12287,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12219,c_102]) ).
tcf(c_12292,plain,
( ( sdtasdt0(xp,sK6) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12246,c_98,c_10386]) ).
tcf(c_12300,plain,
( ( xm = sz00 )
| ( sdtasdt0(xp,sK6) = xn )
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12240,c_49,c_10386]) ).
tcf(c_12333,plain,
( ( sdtpldt0(xp,sdtmndt0(xn,xp)) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_78,c_146]) ).
tcf(c_12334,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sdtmndt0(sdtasdt0(X0,X1),X0)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_146]) ).
tcf(c_12335,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_146]) ).
tcf(c_12336,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_99,c_146]) ).
tcf(c_12337,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sdtmndt0(sdtpldt0(X0,X1),X0)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_212,c_146]) ).
tcf(c_12338,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sdtmndt0(X0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_143,c_146]) ).
tcf(c_12339,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sdtmndt0(X0,X1)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_146]) ).
tcf(c_12340,plain,
( ( sdtpldt0(sz00,sdtmndt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10472,c_146]) ).
tcf(c_12341,plain,
( ( sdtpldt0(xn,sdtmndt0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10295,c_146]) ).
tcf(c_12342,plain,
( ( sdtpldt0(xm,sdtmndt0(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10297,c_146]) ).
tcf(c_12343,plain,
( ( sdtpldt0(xp,sdtmndt0(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10299,c_146]) ).
tcf(c_12344,plain,
( ( sdtpldt0(sK6,sdtmndt0(sK6,sK6)) = sK6 )
| ~ aNaturalNumber0(sK6) ),
inference(superposition,[status(thm)],[c_10301,c_146]) ).
tcf(c_12345,plain,
( ( sdtpldt0(sK7,sdtmndt0(sK7,sK7)) = sK7 )
| ~ aNaturalNumber0(sK7) ),
inference(superposition,[status(thm)],[c_10303,c_146]) ).
tcf(c_12346,plain,
( ( sdtpldt0(xr,sdtmndt0(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_10306,c_146]) ).
tcf(c_12347,plain,
( ( sdtpldt0(sz10,sdtmndt0(xp,sz10)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_11221,c_146]) ).
tcf(c_12348,plain,
( ( sdtpldt0(sz10,sdtmndt0(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_10475,c_146]) ).
tcf(c_12349,plain,
( ( xn = xr )
| ( sdtpldt0(xn,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10489,c_146]) ).
tcf(c_12350,plain,
( ( sdtpldt0(sz00,sdtmndt0(xn,sz00)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10605,c_146]) ).
tcf(c_12351,plain,
( ( sdtpldt0(sz00,sdtmndt0(xm,sz00)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10612,c_146]) ).
tcf(c_12352,plain,
( ( sdtpldt0(sz00,sdtmndt0(xp,sz00)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10615,c_146]) ).
tcf(c_12353,plain,
( ( sdtpldt0(sz00,sdtmndt0(sK6,sz00)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10621,c_146]) ).
tcf(c_12354,plain,
( ( sdtpldt0(sz00,sdtmndt0(sK7,sz00)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10631,c_146]) ).
tcf(c_12355,plain,
( ( sdtpldt0(sz00,sdtmndt0(xr,sz00)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10634,c_146]) ).
tcf(c_12356,plain,
( ( sdtpldt0(sz00,sdtmndt0(sz10,sz00)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10959,c_146]) ).
tcf(c_12357,plain,
( ( xm = sz00 )
| ( sdtpldt0(xn,sdtmndt0(sdtasdt0(xp,sK6),xn)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11228,c_146]) ).
tcf(c_12358,plain,
( ( sdtpldt0(sz10,sdtmndt0(xn,sz10)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_11488,c_146]) ).
tcf(c_12359,plain,
( ( xm = sz00 )
| ( sdtpldt0(sz10,sdtmndt0(xm,sz10)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_11222,c_146]) ).
tcf(c_12360,plain,
( ( sz00 = sK6 )
| ( sdtpldt0(sz10,sdtmndt0(sK6,sz10)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11218,c_146]) ).
tcf(c_12361,plain,
( ( sz00 = xr )
| ( sdtpldt0(sz10,sdtmndt0(xr,sz10)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11215,c_146]) ).
tcf(c_12362,plain,
( ( sz00 = sK7 )
| ( sdtpldt0(sz10,sdtmndt0(sK7,sz10)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11412,c_146]) ).
tcf(c_12363,plain,
( ( sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,sK6),sz00)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11444,c_146]) ).
tcf(c_12364,plain,
( ( sdtpldt0(sdtasdt0(xp,sK6),sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11530,c_146]) ).
tcf(c_12365,plain,
sdtpldt0(sz10,sdtmndt0(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_12348,c_102]) ).
tcf(c_12366,plain,
sdtpldt0(xr,sdtmndt0(xr,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_12346,c_79]) ).
tcf(c_12367,plain,
sdtpldt0(sK7,sdtmndt0(sK7,sK7)) = sK7,
inference(forward_subsumption_resolution,[status(thm)],[c_12345,c_76]) ).
tcf(c_12368,plain,
sdtpldt0(sK6,sdtmndt0(sK6,sK6)) = sK6,
inference(forward_subsumption_resolution,[status(thm)],[c_12344,c_73]) ).
tcf(c_12369,plain,
sdtpldt0(xp,sdtmndt0(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_12343,c_51]) ).
tcf(c_12370,plain,
sdtpldt0(xm,sdtmndt0(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_12342,c_50]) ).
tcf(c_12372,plain,
sdtpldt0(sz00,sdtmndt0(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_12340,c_98]) ).
tcf(c_12375,plain,
sdtpldt0(sz10,sdtmndt0(xn,sz10)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_12358,c_102,c_49]) ).
tcf(c_12376,plain,
sdtpldt0(sz00,sdtmndt0(sz10,sz00)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_12356,c_102,c_98]) ).
tcf(c_12377,plain,
sdtpldt0(sz00,sdtmndt0(xr,sz00)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_12355,c_79,c_98]) ).
tcf(c_12378,plain,
sdtpldt0(sz00,sdtmndt0(sK7,sz00)) = sK7,
inference(forward_subsumption_resolution,[status(thm)],[c_12354,c_76,c_98]) ).
tcf(c_12379,plain,
sdtpldt0(sz00,sdtmndt0(sK6,sz00)) = sK6,
inference(forward_subsumption_resolution,[status(thm)],[c_12353,c_73,c_98]) ).
tcf(c_12380,plain,
sdtpldt0(sz00,sdtmndt0(xp,sz00)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_12352,c_98,c_51]) ).
tcf(c_12381,plain,
sdtpldt0(sz00,sdtmndt0(xm,sz00)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_12351,c_98,c_50]) ).
tcf(c_12382,plain,
sdtpldt0(sz00,sdtmndt0(xn,sz00)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_12350,c_98,c_49]) ).
tcf(c_12383,plain,
sdtpldt0(sz10,sdtmndt0(xp,sz10)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_12347,c_102,c_51]) ).
tcf(c_12393,plain,
( ( sz00 = sK7 )
| ( sdtpldt0(sz10,sdtmndt0(sK7,sz10)) = sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12362,c_76,c_102]) ).
tcf(c_12396,plain,
( ( sz00 = xr )
| ( sdtpldt0(sz10,sdtmndt0(xr,sz10)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12361,c_79,c_102]) ).
tcf(c_12399,plain,
( ( sz00 = sK6 )
| ( sdtpldt0(sz10,sdtmndt0(sK6,sz10)) = sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12360,c_73,c_102]) ).
tcf(c_12402,plain,
( ( xm = sz00 )
| ( sdtpldt0(sz10,sdtmndt0(xm,sz10)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12359,c_102,c_50]) ).
tcf(c_12405,plain,
( ( xn = xr )
| ( sdtpldt0(xn,sdtmndt0(xr,xn)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12349,c_79,c_49]) ).
tcf(c_12408,plain,
sdtpldt0(sz00,sdtmndt0(sdtasdt0(xp,sK6),sz00)) = sdtasdt0(xp,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_12363,c_98,c_10386]) ).
tcf(c_12409,plain,
sdtpldt0(sdtasdt0(xp,sK6),sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) = sdtasdt0(xp,sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_12364,c_10386]) ).
tcf(c_12410,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12336,c_102]) ).
tcf(c_12419,plain,
( ( xm = sz00 )
| ( sdtpldt0(xn,sdtmndt0(sdtasdt0(xp,sK6),xn)) = sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12357,c_49,c_10386]) ).
tcf(c_12433,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_12526,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_12405,c_91]) ).
tcf(c_12527,plain,
( ( xn = xr )
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_12405,c_90]) ).
tcf(c_12530,plain,
( ( xn = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12527,c_11487,c_49]) ).
tcf(c_12534,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12526,c_49]) ).
tcf(c_12595,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_209,c_128]) ).
tcf(c_12596,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK10(X0),X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(X0))
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_130,c_128]) ).
tcf(c_12597,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| doDivides0(sK11(X0),X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK11(X0))
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_135,c_128]) ).
tcf(c_12599,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ doDivides0(sdtasdt0(xp,sK6),X0) ),
inference(superposition,[status(thm)],[c_924,c_128]) ).
tcf(c_12600,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ doDivides0(sdtasdt0(xp,sK6),X0) ),
inference(superposition,[status(thm)],[c_10446,c_128]) ).
tcf(c_12601,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10445,c_128]) ).
tcf(c_12602,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10444,c_128]) ).
tcf(c_12603,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10443,c_128]) ).
tcf(c_12604,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10442,c_128]) ).
tcf(c_12605,plain,
! [X0: $i] :
( doDivides0(sK6,X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10441,c_128]) ).
tcf(c_12606,plain,
! [X0: $i] :
( doDivides0(sK7,X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10440,c_128]) ).
tcf(c_12607,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10439,c_128]) ).
tcf(c_12615,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X0) ),
inference(superposition,[status(thm)],[c_11148,c_128]) ).
tcf(c_12616,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(superposition,[status(thm)],[c_11151,c_128]) ).
tcf(c_12617,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(superposition,[status(thm)],[c_11155,c_128]) ).
tcf(c_12618,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK6,X0) ),
inference(superposition,[status(thm)],[c_11158,c_128]) ).
tcf(c_12619,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,X0) ),
inference(superposition,[status(thm)],[c_11161,c_128]) ).
tcf(c_12620,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK7,X0) ),
inference(superposition,[status(thm)],[c_11411,c_128]) ).
tcf(c_12621,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11441,c_128]) ).
tcf(c_12622,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ doDivides0(sdtasdt0(xp,sK6),X0) ),
inference(superposition,[status(thm)],[c_11522,c_128]) ).
tcf(c_12624,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12620,c_76,c_102]) ).
tcf(c_12628,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12619,c_79,c_102]) ).
tcf(c_12632,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12618,c_73,c_102]) ).
tcf(c_12636,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12617,c_102,c_51]) ).
tcf(c_12640,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12616,c_102,c_50]) ).
tcf(c_12644,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12615,c_102,c_49]) ).
tcf(c_12648,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12607,c_79,c_98]) ).
tcf(c_12652,plain,
! [X0: $i] :
( doDivides0(sK7,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12606,c_76,c_98]) ).
tcf(c_12656,plain,
! [X0: $i] :
( doDivides0(sK6,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12605,c_73,c_98]) ).
tcf(c_12660,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12604,c_98,c_51]) ).
tcf(c_12664,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12603,c_98,c_50]) ).
tcf(c_12668,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12602,c_98,c_49]) ).
tcf(c_12672,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12601,c_102,c_98]) ).
tcf(c_12676,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12622,c_102,c_10386]) ).
tcf(c_12680,plain,
! [X0: $i] :
( doDivides0(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12621,c_98,c_10386]) ).
tcf(c_12684,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12600,c_49,c_10386]) ).
tcf(c_12688,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sdtasdt0(xp,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12599,c_51,c_10386]) ).
tcf(c_12748,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_78,c_141]) ).
tcf(c_12749,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_84,c_141]) ).
tcf(c_12751,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_99,c_141]) ).
tcf(c_12752,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_212,c_141]) ).
tcf(c_12754,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_140,c_141]) ).
tcf(c_12762,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_11221,c_141]) ).
tcf(c_12764,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_10489,c_141]) ).
tcf(c_12765,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10605,c_141]) ).
tcf(c_12766,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10612,c_141]) ).
tcf(c_12767,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10615,c_141]) ).
tcf(c_12768,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10621,c_141]) ).
tcf(c_12769,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10631,c_141]) ).
tcf(c_12770,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10634,c_141]) ).
tcf(c_12771,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10959,c_141]) ).
tcf(c_12772,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11228,c_141]) ).
tcf(c_12773,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_11488,c_141]) ).
tcf(c_12774,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_11222,c_141]) ).
tcf(c_12775,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_11218,c_141]) ).
tcf(c_12776,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_11215,c_141]) ).
tcf(c_12777,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK7)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_11412,c_141]) ).
tcf(c_12778,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11444,c_141]) ).
tcf(c_12780,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12773,c_102,c_49]) ).
tcf(c_12784,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12771,c_102,c_98]) ).
tcf(c_12788,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12770,c_79,c_98]) ).
tcf(c_12792,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12769,c_76,c_98]) ).
tcf(c_12796,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12768,c_73,c_98]) ).
tcf(c_12800,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12767,c_98,c_51]) ).
tcf(c_12804,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12766,c_98,c_50]) ).
tcf(c_12808,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12765,c_98,c_49]) ).
tcf(c_12812,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12762,c_102,c_51]) ).
tcf(c_12816,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12748,c_51,c_49]) ).
tcf(c_12826,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12778,c_98,c_10386]) ).
tcf(c_12830,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK7)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12777,c_76,c_102]) ).
tcf(c_12835,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sz00 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12776,c_79,c_102]) ).
tcf(c_12840,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12775,c_73,c_102]) ).
tcf(c_12845,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12774,c_102,c_50]) ).
tcf(c_12850,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12764,c_79,c_49]) ).
tcf(c_12861,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12772,c_49,c_10386]) ).
tcf(c_12866,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_12751,c_102]) ).
tcf(c_12902,plain,
( ( sK8(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xr,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_11839,c_91]) ).
tcf(c_12907,plain,
( ( sK8(xr,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xr,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12902,c_79]) ).
tcf(c_12919,plain,
( sdtlseqdt0(xp,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_78,c_12850]) ).
tcf(c_12923,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_12850]) ).
tcf(c_12926,plain,
( sdtlseqdt0(sz10,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_11488,c_12850]) ).
tcf(c_12927,plain,
( sdtlseqdt0(sz10,xr)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12926,c_102]) ).
tcf(c_12930,plain,
( sdtlseqdt0(xp,xr)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12919,c_51]) ).
tcf(c_12933,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12923,c_49]) ).
tcf(c_12997,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_12927,c_141]) ).
tcf(c_12998,plain,
( ( xn = xr )
| ( sdtpldt0(sz10,sdtmndt0(xr,sz10)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_12927,c_146]) ).
tcf(c_12999,plain,
( ( sz10 = xr )
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,sz10) ),
inference(superposition,[status(thm)],[c_12927,c_142]) ).
tcf(c_13000,plain,
( ( xn = xr )
| ( sdtpldt0(sz10,sK8(sz10,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_12927,c_112]) ).
tcf(c_13001,plain,
( iLess0(sz10,xr)
| ( sz10 = xr )
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_12927,c_120]) ).
tcf(c_13002,plain,
( iLess0(sz10,xr)
| ( sz10 = xr )
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13001,c_79,c_102]) ).
tcf(c_13006,plain,
( ( xn = xr )
| ( sdtpldt0(sz10,sK8(sz10,xr)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13000,c_79,c_102]) ).
tcf(c_13009,plain,
( ( sz10 = xr )
| ( xn = xr )
| ~ sdtlseqdt0(xr,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12999,c_79,c_102]) ).
tcf(c_13013,plain,
( ( xn = xr )
| ( sdtpldt0(sz10,sdtmndt0(xr,sz10)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12998,c_79,c_102]) ).
tcf(c_13016,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12997,c_79,c_102]) ).
tcf(c_13025,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_12930,c_141]) ).
tcf(c_13026,plain,
( ( xn = xr )
| ( sdtpldt0(xp,sdtmndt0(xr,xp)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_12930,c_146]) ).
tcf(c_13027,plain,
( ( xp = xr )
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xr,xp) ),
inference(superposition,[status(thm)],[c_12930,c_142]) ).
tcf(c_13028,plain,
( ( xn = xr )
| ( sdtpldt0(xp,sK8(xp,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_12930,c_112]) ).
tcf(c_13029,plain,
( iLess0(xp,xr)
| ( xp = xr )
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_12930,c_120]) ).
tcf(c_13030,plain,
( iLess0(xp,xr)
| ( xp = xr )
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13029,c_79,c_51]) ).
tcf(c_13034,plain,
( ( xn = xr )
| ( sdtpldt0(xp,sK8(xp,xr)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13028,c_79,c_51]) ).
tcf(c_13037,plain,
( ( xp = xr )
| ( xn = xr )
| ~ sdtlseqdt0(xr,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13027,c_79,c_51]) ).
tcf(c_13041,plain,
( ( xn = xr )
| ( sdtpldt0(xp,sdtmndt0(xr,xp)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13026,c_79,c_51]) ).
tcf(c_13044,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13025,c_79,c_51]) ).
tcf(c_13057,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xr)
| sdtlseqdt0(X0,X1)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_12933,c_141]) ).
tcf(c_13058,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtpldt0(xn,sdtmndt0(X0,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12933,c_146]) ).
tcf(c_13059,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_12933,c_142]) ).
tcf(c_13060,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12933,c_112]) ).
tcf(c_13061,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(xn,X0)
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12933,c_120]) ).
tcf(c_13064,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_12933,c_141]) ).
tcf(c_13065,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( xn = xr )
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12933,c_146]) ).
tcf(c_13066,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( xn = xr )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_12933,c_142]) ).
tcf(c_13067,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( xn = xr )
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12933,c_112]) ).
tcf(c_13068,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,xr)
| ( xn = xr )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12933,c_120]) ).
tcf(c_13069,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,xr)
| ( xn = xr )
| ( X0 = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13068,c_79]) ).
tcf(c_13075,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(xn,X0)
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13061,c_49]) ).
tcf(c_13081,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( xn = xr )
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13067,c_79]) ).
tcf(c_13086,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( xn = xr )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13066,c_79]) ).
tcf(c_13092,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( xn = xr )
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13065,c_79]) ).
tcf(c_13097,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13060,c_49]) ).
tcf(c_13102,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13059,c_49]) ).
tcf(c_13108,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtpldt0(xn,sdtmndt0(X0,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13058,c_49]) ).
tcf(c_13113,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13064,c_79]) ).
tcf(c_13120,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xr)
| sdtlseqdt0(X0,X1)
| ( xn = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13057,c_49]) ).
tcf(c_13144,plain,
( ( xn = xr )
| ( sK8(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_13006,c_91]) ).
tcf(c_13145,plain,
( ( sz00 = sz10 )
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_13006,c_90]) ).
tcf(c_13148,plain,
( ( xn = xr )
| ~ aNaturalNumber0(sK8(sz10,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13145,c_103,c_102]) ).
tcf(c_13152,plain,
( ( xn = xr )
| ( sK8(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sK8(sz10,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13144,c_102]) ).
tcf(c_13163,plain,
( sdtlseqdt0(sz10,xr)
| ( sz10 = xr )
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_140,c_13009]) ).
tcf(c_13165,plain,
( sdtlseqdt0(sz10,xr)
| ( sz10 = xr )
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13163,c_79,c_102]) ).
tcf(c_13180,plain,
( ( xn = sz10 )
| ( xn = xp )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xp,sK6) != xp ) ),
inference(superposition,[status(thm)],[c_74,c_70]) ).
tcf(c_13213,plain,
( ( xn = sz10 )
| ( xn = xp )
| ( sdtasdt0(xp,sK6) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13180,c_50,c_49]) ).
tcf(c_13227,plain,
( ( xm = sz00 )
| ( xn = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(superposition,[status(thm)],[c_74,c_89]) ).
tcf(c_13260,plain,
( ( xm = sz00 )
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13227,c_11487,c_50,c_49]) ).
tcf(c_13271,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_117]) ).
tcf(c_13272,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_117]) ).
tcf(c_13273,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_117]) ).
tcf(c_13274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK2(X0,X1),X2),X3) = sdtpldt0(sK2(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_117]) ).
tcf(c_13277,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK6,X0),X1) = sdtpldt0(sK6,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_117]) ).
tcf(c_13278,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK7,X0),X1) = sdtpldt0(sK7,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_117]) ).
tcf(c_13279,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xr,X0),X1) = sdtpldt0(xr,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79,c_117]) ).
tcf(c_13280,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_117]) ).
tcf(c_13281,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz10,X0),X1) = sdtpldt0(sz10,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_117]) ).
tcf(c_13282,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_119,c_117]) ).
tcf(c_13283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK8(X0,X1),X2),X3) = sdtpldt0(sK8(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_117]) ).
tcf(c_13284,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_126,c_117]) ).
tcf(c_13285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK9(X0,X1),X2),X3) = sdtpldt0(sK9(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_117]) ).
tcf(c_13286,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sK10(X0),X1),X2) = sdtpldt0(sK10(X0),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_117]) ).
tcf(c_13287,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sK11(X0),X1),X2) = sdtpldt0(sK11(X0),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_117]) ).
tcf(c_13288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtmndt0(X1,X0),X2),X3) = sdtpldt0(sdtmndt0(X1,X0),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_117]) ).
tcf(c_13289,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,sK6),X0),X1) = sdtpldt0(sdtasdt0(xp,sK6),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10386,c_117]) ).
tcf(c_13411,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_124]) ).
tcf(c_13412,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_124]) ).
tcf(c_13413,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_124]) ).
tcf(c_13414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK2(X0,X1),X2),X3) = sdtasdt0(sK2(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_124]) ).
tcf(c_13417,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK6,X0),X1) = sdtasdt0(sK6,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_124]) ).
tcf(c_13418,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK7,X0),X1) = sdtasdt0(sK7,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_124]) ).
tcf(c_13419,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xr,X0),X1) = sdtasdt0(xr,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79,c_124]) ).
tcf(c_13420,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),X1) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_98,c_124]) ).
tcf(c_13421,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz10,X0),X1) = sdtasdt0(sz10,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_124]) ).
tcf(c_13422,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_119,c_124]) ).
tcf(c_13423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK8(X0,X1),X2),X3) = sdtasdt0(sK8(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_124]) ).
tcf(c_13424,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_126,c_124]) ).
tcf(c_13425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK9(X0,X1),X2),X3) = sdtasdt0(sK9(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_124]) ).
tcf(c_13426,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sK10(X0),X1),X2) = sdtasdt0(sK10(X0),sdtasdt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_124]) ).
tcf(c_13427,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sK11(X0),X1),X2) = sdtasdt0(sK11(X0),sdtasdt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_124]) ).
tcf(c_13428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtmndt0(X1,X0),X2),X3) = sdtasdt0(sdtmndt0(X1,X0),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_124]) ).
tcf(c_13429,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,sK6),X0),X1) = sdtasdt0(sdtasdt0(xp,sK6),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10386,c_124]) ).
tcf(c_13552,plain,
sdtasdt0(sz10,xr) = xr,
inference(superposition,[status(thm)],[c_79,c_101]) ).
tcf(c_13571,plain,
( ( sK8(sK7,sK7) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ( sz00 != sK7 ) ),
inference(superposition,[status(thm)],[c_11840,c_91]) ).
tcf(c_13575,plain,
( ( sK8(sK7,sK7) = sz00 )
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ( sz00 != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13571,c_76]) ).
tcf(c_13614,plain,
( ( sK8(sK6,sK6) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ( sz00 != sK6 ) ),
inference(superposition,[status(thm)],[c_11841,c_91]) ).
tcf(c_13618,plain,
( ( sK8(sK6,sK6) = sz00 )
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ( sz00 != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13614,c_73]) ).
tcf(c_13626,plain,
( ( sK8(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK8(xm,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_11843,c_91]) ).
tcf(c_13630,plain,
( ( sK8(xm,xm) = sz00 )
| ~ aNaturalNumber0(sK8(xm,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13626,c_50]) ).
tcf(c_13638,plain,
( ( xn = xr )
| ( sdtmndt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_13013,c_91]) ).
tcf(c_13639,plain,
( ( sz00 = sz10 )
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_13013,c_90]) ).
tcf(c_13642,plain,
( ( xn = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13639,c_103,c_102]) ).
tcf(c_13646,plain,
( ( xn = xr )
| ( sdtmndt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13638,c_102]) ).
tcf(c_13655,plain,
( ( xn = xr )
| ( sK8(xp,xr) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK8(xp,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_13034,c_91]) ).
tcf(c_13656,plain,
( ( xp = sz00 )
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK8(xp,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_13034,c_90]) ).
tcf(c_13659,plain,
( ( xn = xr )
| ~ aNaturalNumber0(sK8(xp,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13656,c_68,c_51]) ).
tcf(c_13663,plain,
( ( xn = xr )
| ( sK8(xp,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xp,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13655,c_51]) ).
tcf(c_13674,plain,
( sdtlseqdt0(xp,xr)
| ( xp = xr )
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_140,c_13037]) ).
tcf(c_13676,plain,
( sdtlseqdt0(xp,xr)
| ( xp = xr )
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13674,c_79,c_51]) ).
tcf(c_13684,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_13041,c_91]) ).
tcf(c_13685,plain,
( ( xp = sz00 )
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_13041,c_90]) ).
tcf(c_13688,plain,
( ( xn = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13685,c_68,c_51]) ).
tcf(c_13692,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xp) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13684,c_51]) ).
tcf(c_13708,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_13016]) ).
tcf(c_13712,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13708,c_102]) ).
tcf(c_13726,plain,
( sdtlseqdt0(sz10,xr)
| ( xp = sz10 )
| ( xp = sz00 )
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_99,c_13044]) ).
tcf(c_13728,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_13044]) ).
tcf(c_13733,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13728,c_51]) ).
tcf(c_13776,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_209,c_138]) ).
tcf(c_13777,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK10(X0) = sz10 )
| ( sK10(X0) = X0 )
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(X0)) ),
inference(superposition,[status(thm)],[c_130,c_138]) ).
tcf(c_13780,plain,
( ( xp = sz10 )
| ( sdtasdt0(xp,sK6) = xp )
| ~ aNaturalNumber0(xp)
| ~ isPrime0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_924,c_138]) ).
tcf(c_13781,plain,
( ( xn = sz10 )
| ( sdtasdt0(xp,sK6) = xn )
| ~ aNaturalNumber0(xn)
| ~ isPrime0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10446,c_138]) ).
tcf(c_13805,plain,
( ( xn = sz10 )
| ( sdtasdt0(xp,sK6) = xn )
| ~ isPrime0(sdtasdt0(xp,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13781,c_49,c_10386]) ).
tcf(c_13809,plain,
( ( sdtasdt0(xp,sK6) = xp )
| ~ isPrime0(sdtasdt0(xp,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13780,c_69,c_51,c_10386]) ).
tcf(c_13838,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK10(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz10 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK10(sdtpldt0(X0,X1)))
| ~ doDivides0(sK10(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_130,c_104]) ).
tcf(c_13839,plain,
! [X0: $i,X1: $i] :
( isPrime0(sdtpldt0(X0,X1))
| doDivides0(sK11(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz10 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK11(sdtpldt0(X0,X1)))
| ~ doDivides0(sK11(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_135,c_104]) ).
tcf(c_13840,plain,
! [X0: $i] :
( doDivides0(X0,sK7)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_77,c_104]) ).
tcf(c_13841,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_80,c_104]) ).
tcf(c_13843,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(superposition,[status(thm)],[c_10240,c_104]) ).
tcf(c_13844,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_10242,c_104]) ).
tcf(c_13845,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7) ),
inference(superposition,[status(thm)],[c_10239,c_104]) ).
tcf(c_13846,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6) ),
inference(superposition,[status(thm)],[c_10238,c_104]) ).
tcf(c_13847,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_10236,c_104]) ).
tcf(c_13848,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_10235,c_104]) ).
tcf(c_13849,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_10234,c_104]) ).
tcf(c_13858,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ doDivides0(X0,sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10457,c_104]) ).
tcf(c_13859,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xn,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_104]) ).
tcf(c_13860,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xm,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK8(xm,xm)) ),
inference(superposition,[status(thm)],[c_11843,c_104]) ).
tcf(c_13861,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xp)) ),
inference(superposition,[status(thm)],[c_11842,c_104]) ).
tcf(c_13862,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sK6,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6)
| ~ aNaturalNumber0(sK8(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_11841,c_104]) ).
tcf(c_13863,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sK7,sK7))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ aNaturalNumber0(sK8(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_11840,c_104]) ).
tcf(c_13864,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xr,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK8(xr,xr)) ),
inference(superposition,[status(thm)],[c_11839,c_104]) ).
tcf(c_13865,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_11838,c_104]) ).
tcf(c_13866,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_11878,c_104]) ).
tcf(c_13867,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(superposition,[status(thm)],[c_13006,c_104]) ).
tcf(c_13868,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_12405,c_104]) ).
tcf(c_13869,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,sz10))
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_13013,c_104]) ).
tcf(c_13870,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,xp))
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_13041,c_104]) ).
tcf(c_13871,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xp,xr))
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xr)) ),
inference(superposition,[status(thm)],[c_13034,c_104]) ).
tcf(c_13872,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13849,c_98,c_49]) ).
tcf(c_13876,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13848,c_98,c_50]) ).
tcf(c_13880,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13847,c_98,c_51]) ).
tcf(c_13884,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13846,c_73,c_98]) ).
tcf(c_13888,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13845,c_76,c_98]) ).
tcf(c_13892,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13844,c_102,c_98]) ).
tcf(c_13896,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13843,c_79,c_98]) ).
tcf(c_13900,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13865,c_102]) ).
tcf(c_13905,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xr,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK8(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13864,c_79]) ).
tcf(c_13910,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sK7,sK7))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ aNaturalNumber0(sK8(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13863,c_76]) ).
tcf(c_13915,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sK6,sK6))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6)
| ~ aNaturalNumber0(sK8(sK6,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13862,c_73]) ).
tcf(c_13920,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13861,c_51]) ).
tcf(c_13925,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xm,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK8(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13860,c_50]) ).
tcf(c_13930,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13859,c_49]) ).
tcf(c_13935,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13858,c_98,c_10386]) ).
tcf(c_13939,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13841,c_79,c_51]) ).
tcf(c_13944,plain,
! [X0: $i] :
( doDivides0(X0,sK7)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13840,c_76,c_51]) ).
tcf(c_13949,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xp,xr))
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13871,c_51]) ).
tcf(c_13956,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,xp))
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13870,c_51]) ).
tcf(c_13963,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,sz10))
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13869,c_102]) ).
tcf(c_13970,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13868,c_49]) ).
tcf(c_13977,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,xr))
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13867,c_102]) ).
tcf(c_13984,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13866,c_49]) ).
tcf(c_14058,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_77,c_105]) ).
tcf(c_14059,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_80,c_105]) ).
tcf(c_14084,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(X0,sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_11878,c_105]) ).
tcf(c_14085,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sK8(sz10,xr)) ),
inference(superposition,[status(thm)],[c_13006,c_105]) ).
tcf(c_14086,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(X0,sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_12405,c_105]) ).
tcf(c_14087,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtmndt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_13013,c_105]) ).
tcf(c_14088,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ~ doDivides0(X0,sdtmndt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_13041,c_105]) ).
tcf(c_14089,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xr))
| ~ doDivides0(X0,sK8(xp,xr)) ),
inference(superposition,[status(thm)],[c_13034,c_105]) ).
tcf(c_14090,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_105,c_138]) ).
tcf(c_14091,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_105,c_128]) ).
tcf(c_14092,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sK9(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_105,c_123]) ).
tcf(c_14093,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_105,c_127]) ).
tcf(c_14095,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14059,c_79,c_51]) ).
tcf(c_14100,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14058,c_76,c_51]) ).
tcf(c_14105,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xr))
| ~ doDivides0(X0,sK8(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14089,c_51]) ).
tcf(c_14112,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ~ doDivides0(X0,sdtmndt0(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14088,c_51]) ).
tcf(c_14119,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtmndt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14087,c_102]) ).
tcf(c_14126,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(X0,sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14086,c_49]) ).
tcf(c_14133,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sK8(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14085,c_102]) ).
tcf(c_14140,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(X0,sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14084,c_49]) ).
tcf(c_14305,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xn ) ),
inference(superposition,[status(thm)],[c_77,c_113]) ).
tcf(c_14306,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xn ) ),
inference(superposition,[status(thm)],[c_80,c_113]) ).
tcf(c_14307,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10241,c_113]) ).
tcf(c_14308,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_10240,c_113]) ).
tcf(c_14309,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_10242,c_113]) ).
tcf(c_14310,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK7,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_10239,c_113]) ).
tcf(c_14311,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK6,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_10238,c_113]) ).
tcf(c_14312,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_10236,c_113]) ).
tcf(c_14313,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_10235,c_113]) ).
tcf(c_14314,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_10234,c_113]) ).
tcf(c_14315,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_10250,c_113]) ).
tcf(c_14316,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_10251,c_113]) ).
tcf(c_14317,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_10252,c_113]) ).
tcf(c_14318,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_10254,c_113]) ).
tcf(c_14319,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_10255,c_113]) ).
tcf(c_14320,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(superposition,[status(thm)],[c_10256,c_113]) ).
tcf(c_14321,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_10258,c_113]) ).
tcf(c_14322,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10456,c_113]) ).
tcf(c_14323,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ( sdtpldt0(sdtasdt0(xp,sK6),X0) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10457,c_113]) ).
tcf(c_14324,plain,
! [X0: $i] :
( ( sK8(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_11844,c_113]) ).
tcf(c_14325,plain,
! [X0: $i] :
( ( sK8(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_11843,c_113]) ).
tcf(c_14326,plain,
! [X0: $i] :
( ( sK8(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_11842,c_113]) ).
tcf(c_14327,plain,
! [X0: $i] :
( ( sK8(sK6,sK6) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ( sdtpldt0(sK6,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_11841,c_113]) ).
tcf(c_14328,plain,
! [X0: $i] :
( ( sK8(sK7,sK7) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ( sdtpldt0(sK7,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_11840,c_113]) ).
tcf(c_14329,plain,
! [X0: $i] :
( ( sK8(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_11839,c_113]) ).
tcf(c_14330,plain,
! [X0: $i] :
( ( sK8(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_11838,c_113]) ).
tcf(c_14331,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ( sdtpldt0(xn,X0) != xr ) ),
inference(superposition,[status(thm)],[c_11878,c_113]) ).
tcf(c_14332,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_13006,c_113]) ).
tcf(c_14333,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ( sdtpldt0(xn,X0) != xr ) ),
inference(superposition,[status(thm)],[c_12405,c_113]) ).
tcf(c_14334,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_13013,c_113]) ).
tcf(c_14335,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ( sdtpldt0(xp,X0) != xr ) ),
inference(superposition,[status(thm)],[c_13041,c_113]) ).
tcf(c_14336,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xp,xr) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ( sdtpldt0(xp,X0) != xr ) ),
inference(superposition,[status(thm)],[c_13034,c_113]) ).
tcf(c_14338,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14307,c_98]) ).
tcf(c_14342,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14321,c_102,c_98]) ).
tcf(c_14346,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14320,c_79,c_98]) ).
tcf(c_14350,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14319,c_76,c_98]) ).
tcf(c_14354,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14318,c_73,c_98]) ).
tcf(c_14358,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14317,c_98,c_51]) ).
tcf(c_14362,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14316,c_98,c_50]) ).
tcf(c_14366,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14315,c_98,c_49]) ).
tcf(c_14370,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14314,c_98,c_49]) ).
tcf(c_14374,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14313,c_98,c_50]) ).
tcf(c_14378,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14312,c_98,c_51]) ).
tcf(c_14382,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK6,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14311,c_73,c_98]) ).
tcf(c_14386,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sK7,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14310,c_76,c_98]) ).
tcf(c_14390,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14309,c_102,c_98]) ).
tcf(c_14394,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14308,c_79,c_98]) ).
tcf(c_14398,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14306,c_79,c_51]) ).
tcf(c_14402,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14305,c_76,c_51]) ).
tcf(c_14406,plain,
! [X0: $i] :
( ( sK8(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14330,c_102]) ).
tcf(c_14411,plain,
! [X0: $i] :
( ( sK8(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14329,c_79]) ).
tcf(c_14416,plain,
! [X0: $i] :
( ( sK8(sK7,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ( sdtpldt0(sK7,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14328,c_76]) ).
tcf(c_14421,plain,
! [X0: $i] :
( ( sK8(sK6,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ( sdtpldt0(sK6,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14327,c_73]) ).
tcf(c_14426,plain,
! [X0: $i] :
( ( sK8(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14326,c_51]) ).
tcf(c_14431,plain,
! [X0: $i] :
( ( sK8(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14325,c_50]) ).
tcf(c_14436,plain,
! [X0: $i] :
( ( sK8(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14324,c_49]) ).
tcf(c_14441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,sK6),X0) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14323,c_98,c_10386]) ).
tcf(c_14445,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14322,c_98,c_10386]) ).
tcf(c_14449,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ( sdtpldt0(xp,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14336,c_51]) ).
tcf(c_14455,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ( sdtpldt0(xp,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14335,c_51]) ).
tcf(c_14461,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14334,c_102]) ).
tcf(c_14467,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ( sdtpldt0(xn,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14333,c_49]) ).
tcf(c_14473,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14332,c_102]) ).
tcf(c_14479,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ( sdtpldt0(xn,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14331,c_49]) ).
tcf(c_14595,plain,
( ( sK8(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_11845,c_91]) ).
tcf(c_14600,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_11845,c_104]) ).
tcf(c_14601,plain,
! [X0: $i] :
( ( sK8(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11845,c_113]) ).
tcf(c_14602,plain,
( ( sK8(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sK8(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14595,c_98]) ).
tcf(c_14605,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14600,c_98]) ).
tcf(c_14610,plain,
! [X0: $i] :
( ( sK8(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14601,c_98]) ).
tcf(c_14621,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ~ doDivides0(X0,sK8(sz10,xn)) ),
inference(superposition,[status(thm)],[c_11848,c_105]) ).
tcf(c_14622,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(sz10,xn)) ),
inference(superposition,[status(thm)],[c_11848,c_104]) ).
tcf(c_14623,plain,
! [X0: $i] :
( ( sK8(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ( sdtpldt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_11848,c_113]) ).
tcf(c_14624,plain,
! [X0: $i] :
( ( sK8(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ( sdtpldt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14623,c_102]) ).
tcf(c_14629,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14622,c_102]) ).
tcf(c_14635,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ~ doDivides0(X0,sK8(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14621,c_102]) ).
tcf(c_14666,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ~ doDivides0(X0,sK8(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_11849,c_105]) ).
tcf(c_14667,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_11849,c_104]) ).
tcf(c_14668,plain,
! [X0: $i] :
( ( sK8(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_11849,c_113]) ).
tcf(c_14669,plain,
! [X0: $i] :
( ( sK8(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14668,c_98]) ).
tcf(c_14674,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14667,c_98]) ).
tcf(c_14680,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ~ doDivides0(X0,sK8(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14666,c_98]) ).
tcf(c_14690,plain,
( ( sK8(sz00,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_11850,c_91]) ).
tcf(c_14694,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ~ doDivides0(X0,sK8(sz00,xr)) ),
inference(superposition,[status(thm)],[c_11850,c_105]) ).
tcf(c_14695,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xr)) ),
inference(superposition,[status(thm)],[c_11850,c_104]) ).
tcf(c_14696,plain,
! [X0: $i] :
( ( sK8(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(superposition,[status(thm)],[c_11850,c_113]) ).
tcf(c_14697,plain,
( ( sK8(sz00,xr) = sz00 )
| ~ aNaturalNumber0(sK8(sz00,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14690,c_98]) ).
tcf(c_14701,plain,
! [X0: $i] :
( ( sK8(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14696,c_98]) ).
tcf(c_14706,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14695,c_98]) ).
tcf(c_14712,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ~ doDivides0(X0,sK8(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14694,c_98]) ).
tcf(c_14733,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz10 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_13970,c_138]) ).
tcf(c_14734,plain,
! [X0: $i,X1: $i] :
( doDivides0(X1,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_13970,c_128]) ).
tcf(c_14735,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtasdt0(X0,sK9(X0,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_13970,c_123]) ).
tcf(c_14736,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_13970,c_127]) ).
tcf(c_14812,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz10 )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ isPrime0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_138]) ).
tcf(c_14813,plain,
! [X0: $i,X1: $i] :
( doDivides0(X1,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_13984,c_128]) ).
tcf(c_14814,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtasdt0(X0,sK9(X0,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_123]) ).
tcf(c_14815,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_127]) ).
tcf(c_14878,plain,
( doDivides0(sK10(sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sK10(sdtmndt0(xr,xn)))
| ~ doDivides0(sK10(sdtmndt0(xr,xn)),xn) ),
inference(superposition,[status(thm)],[c_130,c_14126]) ).
tcf(c_14879,plain,
( isPrime0(sdtmndt0(xr,xn))
| doDivides0(sK11(sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sK11(sdtmndt0(xr,xn)))
| ~ doDivides0(sK11(sdtmndt0(xr,xn)),xn) ),
inference(superposition,[status(thm)],[c_135,c_14126]) ).
tcf(c_14917,plain,
( doDivides0(sK10(sK8(xn,xr)),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK10(sK8(xn,xr)))
| ~ doDivides0(sK10(sK8(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_130,c_14140]) ).
tcf(c_14918,plain,
( isPrime0(sK8(xn,xr))
| doDivides0(sK11(sK8(xn,xr)),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK11(sK8(xn,xr)))
| ~ doDivides0(sK11(sK8(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_135,c_14140]) ).
tcf(c_14955,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_11878,c_14467]) ).
tcf(c_14969,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_111,c_14955]) ).
tcf(c_14970,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) )
| ~ sdtlseqdt0(xn,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14969,c_79,c_49]) ).
tcf(c_14989,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(global_subsumption_just,[status(thm)],[c_14970,c_10489,c_14970]) ).
tcf(c_14997,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xr) ),
inference(superposition,[status(thm)],[c_145,c_14989]) ).
tcf(c_14998,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) )
| ~ sdtlseqdt0(xn,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14997,c_79,c_49]) ).
tcf(c_15003,plain,
( ( sK8(sz00,sK7) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ( sz00 != sK7 ) ),
inference(superposition,[status(thm)],[c_11851,c_91]) ).
tcf(c_15007,plain,
! [X0: $i] :
( doDivides0(X0,sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ~ doDivides0(X0,sK8(sz00,sK7)) ),
inference(superposition,[status(thm)],[c_11851,c_105]) ).
tcf(c_15008,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,sK7))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sK7)) ),
inference(superposition,[status(thm)],[c_11851,c_104]) ).
tcf(c_15009,plain,
! [X0: $i] :
( ( sK8(sz00,sK7) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ( sdtpldt0(sz00,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_11851,c_113]) ).
tcf(c_15010,plain,
( ( sK8(sz00,sK7) = sz00 )
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ( sz00 != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15003,c_98]) ).
tcf(c_15014,plain,
! [X0: $i] :
( ( sK8(sz00,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ( sdtpldt0(sz00,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15009,c_98]) ).
tcf(c_15019,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,sK7))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15008,c_98]) ).
tcf(c_15025,plain,
! [X0: $i] :
( doDivides0(X0,sK7)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ~ doDivides0(X0,sK8(sz00,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15007,c_98]) ).
tcf(c_15098,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK7) != xn ) ),
inference(superposition,[status(thm)],[c_77,c_114]) ).
tcf(c_15099,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xn ) ),
inference(superposition,[status(thm)],[c_80,c_114]) ).
tcf(c_15100,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(superposition,[status(thm)],[c_10241,c_114]) ).
tcf(c_15101,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xr ) ),
inference(superposition,[status(thm)],[c_10240,c_114]) ).
tcf(c_15102,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ( sdtpldt0(X0,sK8(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_11845,c_114]) ).
tcf(c_15103,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz10 ) ),
inference(superposition,[status(thm)],[c_10242,c_114]) ).
tcf(c_15104,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK7 ) ),
inference(superposition,[status(thm)],[c_10239,c_114]) ).
tcf(c_15105,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK6 ) ),
inference(superposition,[status(thm)],[c_10238,c_114]) ).
tcf(c_15106,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(superposition,[status(thm)],[c_10236,c_114]) ).
tcf(c_15107,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(superposition,[status(thm)],[c_10235,c_114]) ).
tcf(c_15108,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(superposition,[status(thm)],[c_10234,c_114]) ).
tcf(c_15109,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_10250,c_114]) ).
tcf(c_15110,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_10251,c_114]) ).
tcf(c_15111,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_10252,c_114]) ).
tcf(c_15112,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK6) != sK6 ) ),
inference(superposition,[status(thm)],[c_10254,c_114]) ).
tcf(c_15113,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK7) != sK7 ) ),
inference(superposition,[status(thm)],[c_10255,c_114]) ).
tcf(c_15114,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xr ) ),
inference(superposition,[status(thm)],[c_10256,c_114]) ).
tcf(c_15115,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(superposition,[status(thm)],[c_10258,c_114]) ).
tcf(c_15116,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ( sdtpldt0(X0,sdtasdt0(xp,sK6)) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10456,c_114]) ).
tcf(c_15117,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10457,c_114]) ).
tcf(c_15118,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ( sdtpldt0(X0,sK8(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_11844,c_114]) ).
tcf(c_15119,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ( sdtpldt0(X0,sK8(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_11843,c_114]) ).
tcf(c_15120,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ( sdtpldt0(X0,sK8(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_11842,c_114]) ).
tcf(c_15121,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ( sdtpldt0(X0,sK8(sK6,sK6)) != sK6 ) ),
inference(superposition,[status(thm)],[c_11841,c_114]) ).
tcf(c_15122,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ( sdtpldt0(X0,sK8(sK7,sK7)) != sK7 ) ),
inference(superposition,[status(thm)],[c_11840,c_114]) ).
tcf(c_15123,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ( sdtpldt0(X0,sK8(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_11839,c_114]) ).
tcf(c_15124,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ( sdtpldt0(X0,sK8(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_11838,c_114]) ).
tcf(c_15125,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ( sdtpldt0(X0,sK8(xn,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_11878,c_114]) ).
tcf(c_15126,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ( sdtpldt0(X0,sK8(sz00,sK7)) != sK7 ) ),
inference(superposition,[status(thm)],[c_11851,c_114]) ).
tcf(c_15127,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ( sdtpldt0(X0,sK8(sz00,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_11850,c_114]) ).
tcf(c_15128,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ( sdtpldt0(X0,sK8(sz00,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_11849,c_114]) ).
tcf(c_15129,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ( sdtpldt0(X0,sK8(sz10,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_11848,c_114]) ).
tcf(c_15130,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ( sdtpldt0(X0,sK8(sz10,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_13006,c_114]) ).
tcf(c_15131,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) != xr ) ),
inference(superposition,[status(thm)],[c_12405,c_114]) ).
tcf(c_15132,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sdtpldt0(X0,sdtmndt0(xr,sz10)) != xr ) ),
inference(superposition,[status(thm)],[c_13013,c_114]) ).
tcf(c_15133,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ( sdtpldt0(X0,sdtmndt0(xr,xp)) != xr ) ),
inference(superposition,[status(thm)],[c_13041,c_114]) ).
tcf(c_15134,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ( sdtpldt0(X0,sK8(xp,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_13034,c_114]) ).
tcf(c_15136,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15100,c_98]) ).
tcf(c_15140,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15115,c_102,c_98]) ).
tcf(c_15144,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15114,c_79,c_98]) ).
tcf(c_15148,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK7) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15113,c_76,c_98]) ).
tcf(c_15152,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK6) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15112,c_73,c_98]) ).
tcf(c_15156,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15111,c_98,c_51]) ).
tcf(c_15160,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15110,c_98,c_50]) ).
tcf(c_15164,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15109,c_98,c_49]) ).
tcf(c_15168,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15108,c_98,c_49]) ).
tcf(c_15172,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15107,c_98,c_50]) ).
tcf(c_15176,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15106,c_98,c_51]) ).
tcf(c_15180,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15105,c_73,c_98]) ).
tcf(c_15184,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15104,c_76,c_98]) ).
tcf(c_15188,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15103,c_102,c_98]) ).
tcf(c_15192,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15101,c_79,c_98]) ).
tcf(c_15196,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15099,c_79,c_51]) ).
tcf(c_15200,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK7) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15098,c_76,c_51]) ).
tcf(c_15204,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ( sdtpldt0(X0,sK8(sz10,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15129,c_102]) ).
tcf(c_15209,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ( sdtpldt0(X0,sK8(sz00,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15128,c_98]) ).
tcf(c_15214,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ( sdtpldt0(X0,sK8(sz00,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15127,c_98]) ).
tcf(c_15219,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ( sdtpldt0(X0,sK8(sz00,sK7)) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15126,c_98]) ).
tcf(c_15224,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ( sdtpldt0(X0,sK8(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15124,c_102]) ).
tcf(c_15229,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ( sdtpldt0(X0,sK8(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15123,c_79]) ).
tcf(c_15234,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ( sdtpldt0(X0,sK8(sK7,sK7)) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15122,c_76]) ).
tcf(c_15239,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ( sdtpldt0(X0,sK8(sK6,sK6)) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15121,c_73]) ).
tcf(c_15244,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ( sdtpldt0(X0,sK8(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15120,c_51]) ).
tcf(c_15249,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ( sdtpldt0(X0,sK8(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15119,c_50]) ).
tcf(c_15254,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ( sdtpldt0(X0,sK8(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15118,c_49]) ).
tcf(c_15259,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ( sdtpldt0(X0,sK8(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15102,c_98]) ).
tcf(c_15264,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15117,c_98,c_10386]) ).
tcf(c_15268,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xp,sK6)) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15116,c_98,c_10386]) ).
tcf(c_15272,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ( sdtpldt0(X0,sK8(xp,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15134,c_51]) ).
tcf(c_15278,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ( sdtpldt0(X0,sdtmndt0(xr,xp)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15133,c_51]) ).
tcf(c_15284,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sdtpldt0(X0,sdtmndt0(xr,sz10)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15132,c_102]) ).
tcf(c_15290,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15131,c_49]) ).
tcf(c_15296,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ( sdtpldt0(X0,sK8(sz10,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15130,c_102]) ).
tcf(c_15302,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ( sdtpldt0(X0,sK8(xn,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15125,c_49]) ).
tcf(c_15434,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_115]) ).
tcf(c_15435,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_115]) ).
tcf(c_15436,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_115]) ).
tcf(c_15437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK2(X0,X1),X2),sdtasdt0(sK2(X0,X1),X3)) = sdtasdt0(sK2(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_115]) ).
tcf(c_15440,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK6,X0),sdtasdt0(sK6,X1)) = sdtasdt0(sK6,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_115]) ).
tcf(c_15441,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK7,X0),sdtasdt0(sK7,X1)) = sdtasdt0(sK7,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_115]) ).
tcf(c_15442,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_79,c_115]) ).
tcf(c_15443,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_98,c_115]) ).
tcf(c_15444,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_102,c_115]) ).
tcf(c_15445,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_119,c_115]) ).
tcf(c_15446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK8(X0,X1),X2),sdtasdt0(sK8(X0,X1),X3)) = sdtasdt0(sK8(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_115]) ).
tcf(c_15447,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_126,c_115]) ).
tcf(c_15448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK9(X0,X1),X2),sdtasdt0(sK9(X0,X1),X3)) = sdtasdt0(sK9(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_115]) ).
tcf(c_15449,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK10(X0),X1),sdtasdt0(sK10(X0),X2)) = sdtasdt0(sK10(X0),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_115]) ).
tcf(c_15450,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK11(X0),X1),sdtasdt0(sK11(X0),X2)) = sdtasdt0(sK11(X0),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_115]) ).
tcf(c_15451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtmndt0(X1,X0),X2),sdtasdt0(sdtmndt0(X1,X0),X3)) = sdtasdt0(sdtmndt0(X1,X0),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_115]) ).
tcf(c_15452,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,sK6),X0),sdtasdt0(sdtasdt0(xp,sK6),X1)) = sdtasdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10386,c_115]) ).
tcf(c_15590,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_116]) ).
tcf(c_15591,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_116]) ).
tcf(c_15592,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_116]) ).
tcf(c_15593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK2(X0,X1)),sdtasdt0(X3,sK2(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sK2(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_116]) ).
tcf(c_15596,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK6),sdtasdt0(X1,sK6)) = sdtasdt0(sdtpldt0(X0,X1),sK6) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_73,c_116]) ).
tcf(c_15597,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sK7),sdtasdt0(X1,sK7)) = sdtasdt0(sdtpldt0(X0,X1),sK7) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_76,c_116]) ).
tcf(c_15598,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_79,c_116]) ).
tcf(c_15599,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_98,c_116]) ).
tcf(c_15600,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_102,c_116]) ).
tcf(c_15601,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_119,c_116]) ).
tcf(c_15602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK8(X0,X1)),sdtasdt0(X3,sK8(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sK8(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_116]) ).
tcf(c_15603,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_126,c_116]) ).
tcf(c_15604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sK9(X0,X1)),sdtasdt0(X3,sK9(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sK9(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_116]) ).
tcf(c_15605,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK10(X0)),sdtasdt0(X2,sK10(X0))) = sdtasdt0(sdtpldt0(X1,X2),sK10(X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_116]) ).
tcf(c_15606,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X1,sK11(X0)),sdtasdt0(X2,sK11(X0))) = sdtasdt0(sdtpldt0(X1,X2),sK11(X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_116]) ).
tcf(c_15607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtmndt0(X1,X0)),sdtasdt0(X3,sdtmndt0(X1,X0))) = sdtasdt0(sdtpldt0(X2,X3),sdtmndt0(X1,X0)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_116]) ).
tcf(c_15608,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xp,sK6)),sdtasdt0(X1,sdtasdt0(xp,sK6))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xp,sK6)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10386,c_116]) ).
tcf(c_15721,plain,
( sdtlseqdt0(xn,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_140,c_83]) ).
tcf(c_15725,plain,
( sdtlseqdt0(xn,xr)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15721,c_79,c_49]) ).
tcf(c_15797,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xp,X0))
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0) ),
inference(superposition,[status(thm)],[c_77,c_107]) ).
tcf(c_15798,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xp,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_80,c_107]) ).
tcf(c_15799,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10241,c_107]) ).
tcf(c_15800,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10240,c_107]) ).
tcf(c_15801,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK8(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ~ sdtlseqdt0(sK8(sz00,sz00),X0) ),
inference(superposition,[status(thm)],[c_11845,c_107]) ).
tcf(c_15802,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10242,c_107]) ).
tcf(c_15803,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sK7,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10239,c_107]) ).
tcf(c_15804,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sK6,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10238,c_107]) ).
tcf(c_15805,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10236,c_107]) ).
tcf(c_15806,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10235,c_107]) ).
tcf(c_15807,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10234,c_107]) ).
tcf(c_15808,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_10250,c_107]) ).
tcf(c_15809,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_10251,c_107]) ).
tcf(c_15810,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_10252,c_107]) ).
tcf(c_15811,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sz00,X0))
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0) ),
inference(superposition,[status(thm)],[c_10254,c_107]) ).
tcf(c_15812,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sz00,X0))
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0) ),
inference(superposition,[status(thm)],[c_10255,c_107]) ).
tcf(c_15813,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_10256,c_107]) ).
tcf(c_15814,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_10258,c_107]) ).
tcf(c_15815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),X0) ),
inference(superposition,[status(thm)],[c_10456,c_107]) ).
tcf(c_15816,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(sdtasdt0(xp,sK6),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10457,c_107]) ).
tcf(c_15817,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK8(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ~ sdtlseqdt0(sK8(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_11844,c_107]) ).
tcf(c_15818,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK8(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ~ sdtlseqdt0(sK8(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_11843,c_107]) ).
tcf(c_15819,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK8(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ~ sdtlseqdt0(sK8(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_11842,c_107]) ).
tcf(c_15820,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sK6,X0))
| ( sK8(sK6,sK6) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ~ sdtlseqdt0(sK8(sK6,sK6),X0) ),
inference(superposition,[status(thm)],[c_11841,c_107]) ).
tcf(c_15821,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sK7,X0))
| ( sK8(sK7,sK7) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ~ sdtlseqdt0(sK8(sK7,sK7),X0) ),
inference(superposition,[status(thm)],[c_11840,c_107]) ).
tcf(c_15822,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sK8(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ sdtlseqdt0(sK8(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_11839,c_107]) ).
tcf(c_15823,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sK8(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ sdtlseqdt0(sK8(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_11838,c_107]) ).
tcf(c_15824,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_11878,c_107]) ).
tcf(c_15825,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sz00,X0))
| ( sK8(sz00,sK7) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ~ sdtlseqdt0(sK8(sz00,sK7),X0) ),
inference(superposition,[status(thm)],[c_11851,c_107]) ).
tcf(c_15826,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sK8(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ~ sdtlseqdt0(sK8(sz00,xr),X0) ),
inference(superposition,[status(thm)],[c_11850,c_107]) ).
tcf(c_15827,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sK8(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ~ sdtlseqdt0(sK8(sz00,sz10),X0) ),
inference(superposition,[status(thm)],[c_11849,c_107]) ).
tcf(c_15828,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz10,X0))
| ( sK8(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ~ sdtlseqdt0(sK8(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_11848,c_107]) ).
tcf(c_15829,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( xn = xr )
| ( sK8(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ sdtlseqdt0(sK8(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_13006,c_107]) ).
tcf(c_15830,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_12405,c_107]) ).
tcf(c_15831,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( xn = xr )
| ( sdtmndt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ sdtlseqdt0(sdtmndt0(xr,sz10),X0) ),
inference(superposition,[status(thm)],[c_13013,c_107]) ).
tcf(c_15832,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xp,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ~ sdtlseqdt0(sdtmndt0(xr,xp),X0) ),
inference(superposition,[status(thm)],[c_13041,c_107]) ).
tcf(c_15833,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xp,X0))
| ( xn = xr )
| ( sK8(xp,xr) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ~ sdtlseqdt0(sK8(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_13034,c_107]) ).
tcf(c_15834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xn)
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7) ),
inference(superposition,[status(thm)],[c_77,c_107]) ).
tcf(c_15835,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xn)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_80,c_107]) ).
tcf(c_15836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10241,c_107]) ).
tcf(c_15837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10240,c_107]) ).
tcf(c_15838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK8(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ~ sdtlseqdt0(X0,sK8(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_11845,c_107]) ).
tcf(c_15839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10242,c_107]) ).
tcf(c_15840,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK7,X0),sK7)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10239,c_107]) ).
tcf(c_15841,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK6,X0),sK6)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10238,c_107]) ).
tcf(c_15842,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10236,c_107]) ).
tcf(c_15843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10235,c_107]) ).
tcf(c_15844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10234,c_107]) ).
tcf(c_15845,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_10250,c_107]) ).
tcf(c_15846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_10251,c_107]) ).
tcf(c_15847,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_10252,c_107]) ).
tcf(c_15848,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK6)
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6) ),
inference(superposition,[status(thm)],[c_10254,c_107]) ).
tcf(c_15849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK7)
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7) ),
inference(superposition,[status(thm)],[c_10255,c_107]) ).
tcf(c_15850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_10256,c_107]) ).
tcf(c_15851,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_10258,c_107]) ).
tcf(c_15852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10456,c_107]) ).
tcf(c_15853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtasdt0(xp,sK6))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10457,c_107]) ).
tcf(c_15854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK8(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ~ sdtlseqdt0(X0,sK8(xn,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_107]) ).
tcf(c_15855,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK8(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ~ sdtlseqdt0(X0,sK8(xm,xm)) ),
inference(superposition,[status(thm)],[c_11843,c_107]) ).
tcf(c_15856,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK8(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ~ sdtlseqdt0(X0,sK8(xp,xp)) ),
inference(superposition,[status(thm)],[c_11842,c_107]) ).
tcf(c_15857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK6,X0),sK6)
| ( sK8(sK6,sK6) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ~ sdtlseqdt0(X0,sK8(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_11841,c_107]) ).
tcf(c_15858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK7,X0),sK7)
| ( sK8(sK7,sK7) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ~ sdtlseqdt0(X0,sK8(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_11840,c_107]) ).
tcf(c_15859,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sK8(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ sdtlseqdt0(X0,sK8(xr,xr)) ),
inference(superposition,[status(thm)],[c_11839,c_107]) ).
tcf(c_15860,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sK8(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ sdtlseqdt0(X0,sK8(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_11838,c_107]) ).
tcf(c_15861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(X0,sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_11878,c_107]) ).
tcf(c_15862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK7)
| ( sK8(sz00,sK7) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ~ sdtlseqdt0(X0,sK8(sz00,sK7)) ),
inference(superposition,[status(thm)],[c_11851,c_107]) ).
tcf(c_15863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sK8(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ~ sdtlseqdt0(X0,sK8(sz00,xr)) ),
inference(superposition,[status(thm)],[c_11850,c_107]) ).
tcf(c_15864,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sK8(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ~ sdtlseqdt0(X0,sK8(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_11849,c_107]) ).
tcf(c_15865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xn)
| ( sK8(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ~ sdtlseqdt0(X0,sK8(sz10,xn)) ),
inference(superposition,[status(thm)],[c_11848,c_107]) ).
tcf(c_15866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( xn = xr )
| ( sK8(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ sdtlseqdt0(X0,sK8(sz10,xr)) ),
inference(superposition,[status(thm)],[c_13006,c_107]) ).
tcf(c_15867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_12405,c_107]) ).
tcf(c_15868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_13013,c_107]) ).
tcf(c_15869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_13041,c_107]) ).
tcf(c_15870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xr)
| ( xn = xr )
| ( sK8(xp,xr) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ~ sdtlseqdt0(X0,sK8(xp,xr)) ),
inference(superposition,[status(thm)],[c_13034,c_107]) ).
tcf(c_15871,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_107,c_141]) ).
tcf(c_15872,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X0,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_107,c_146]) ).
tcf(c_15873,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_107,c_142]) ).
tcf(c_15874,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK8(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_107,c_112]) ).
tcf(c_15875,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_107,c_120]) ).
tcf(c_15876,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15836,c_98]) ).
tcf(c_15881,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15799,c_98]) ).
tcf(c_15886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15851,c_102,c_98]) ).
tcf(c_15891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15850,c_79,c_98]) ).
tcf(c_15896,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK7)
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15849,c_76,c_98]) ).
tcf(c_15901,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK6)
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15848,c_73,c_98]) ).
tcf(c_15906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15847,c_98,c_51]) ).
tcf(c_15911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15846,c_98,c_50]) ).
tcf(c_15916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15845,c_98,c_49]) ).
tcf(c_15921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15844,c_98,c_49]) ).
tcf(c_15926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15843,c_98,c_50]) ).
tcf(c_15931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15842,c_98,c_51]) ).
tcf(c_15936,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK6,X0),sK6)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15841,c_73,c_98]) ).
tcf(c_15941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK7,X0),sK7)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15840,c_76,c_98]) ).
tcf(c_15946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15839,c_102,c_98]) ).
tcf(c_15951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15837,c_79,c_98]) ).
tcf(c_15956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xn)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15835,c_79,c_51]) ).
tcf(c_15961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xn)
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15834,c_76,c_51]) ).
tcf(c_15966,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15814,c_102,c_98]) ).
tcf(c_15971,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15813,c_79,c_98]) ).
tcf(c_15976,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sz00,X0))
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15812,c_76,c_98]) ).
tcf(c_15981,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sz00,X0))
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15811,c_73,c_98]) ).
tcf(c_15986,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15810,c_98,c_51]) ).
tcf(c_15991,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15809,c_98,c_50]) ).
tcf(c_15996,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15808,c_98,c_49]) ).
tcf(c_16001,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15807,c_98,c_49]) ).
tcf(c_16006,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15806,c_98,c_50]) ).
tcf(c_16011,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15805,c_98,c_51]) ).
tcf(c_16016,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sK6,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15804,c_73,c_98]) ).
tcf(c_16021,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sK7,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15803,c_76,c_98]) ).
tcf(c_16026,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15802,c_102,c_98]) ).
tcf(c_16031,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15800,c_79,c_98]) ).
tcf(c_16036,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xp,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15798,c_79,c_51]) ).
tcf(c_16041,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xp,X0))
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15797,c_76,c_51]) ).
tcf(c_16046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xn)
| ( sK8(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ~ sdtlseqdt0(X0,sK8(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15865,c_102]) ).
tcf(c_16052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sK8(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ~ sdtlseqdt0(X0,sK8(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15864,c_98]) ).
tcf(c_16058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sK8(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ~ sdtlseqdt0(X0,sK8(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15863,c_98]) ).
tcf(c_16064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK7)
| ( sK8(sz00,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ~ sdtlseqdt0(X0,sK8(sz00,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15862,c_98]) ).
tcf(c_16070,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sK8(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ sdtlseqdt0(X0,sK8(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15860,c_102]) ).
tcf(c_16076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sK8(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ sdtlseqdt0(X0,sK8(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15859,c_79]) ).
tcf(c_16082,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK7,X0),sK7)
| ( sK8(sK7,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ~ sdtlseqdt0(X0,sK8(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15858,c_76]) ).
tcf(c_16088,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK6,X0),sK6)
| ( sK8(sK6,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ~ sdtlseqdt0(X0,sK8(sK6,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15857,c_73]) ).
tcf(c_16094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK8(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ~ sdtlseqdt0(X0,sK8(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15856,c_51]) ).
tcf(c_16100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK8(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ~ sdtlseqdt0(X0,sK8(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15855,c_50]) ).
tcf(c_16106,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK8(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ~ sdtlseqdt0(X0,sK8(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15854,c_49]) ).
tcf(c_16112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtasdt0(xp,sK6))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15853,c_98,c_10386]) ).
tcf(c_16117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK8(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ~ sdtlseqdt0(X0,sK8(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15838,c_98]) ).
tcf(c_16123,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz10,X0))
| ( sK8(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ~ sdtlseqdt0(sK8(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15828,c_102]) ).
tcf(c_16129,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sK8(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ~ sdtlseqdt0(sK8(sz00,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15827,c_98]) ).
tcf(c_16135,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sK8(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ~ sdtlseqdt0(sK8(sz00,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15826,c_98]) ).
tcf(c_16141,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sz00,X0))
| ( sK8(sz00,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ~ sdtlseqdt0(sK8(sz00,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15825,c_98]) ).
tcf(c_16147,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sK8(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ sdtlseqdt0(sK8(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15823,c_102]) ).
tcf(c_16153,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sK8(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ sdtlseqdt0(sK8(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15822,c_79]) ).
tcf(c_16159,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sK7,X0))
| ( sK8(sK7,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ~ sdtlseqdt0(sK8(sK7,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15821,c_76]) ).
tcf(c_16165,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sK6,X0))
| ( sK8(sK6,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ~ sdtlseqdt0(sK8(sK6,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15820,c_73]) ).
tcf(c_16171,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK8(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ~ sdtlseqdt0(sK8(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15819,c_51]) ).
tcf(c_16177,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK8(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ~ sdtlseqdt0(sK8(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15818,c_50]) ).
tcf(c_16183,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK8(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ~ sdtlseqdt0(sK8(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15817,c_49]) ).
tcf(c_16189,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(sdtasdt0(xp,sK6),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15816,c_98,c_10386]) ).
tcf(c_16194,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK8(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ~ sdtlseqdt0(sK8(sz00,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15801,c_98]) ).
tcf(c_16200,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15852,c_98,c_10386]) ).
tcf(c_16205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15815,c_98,c_10386]) ).
tcf(c_16210,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xr)
| ( xn = xr )
| ( sK8(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ~ sdtlseqdt0(X0,sK8(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15870,c_51]) ).
tcf(c_16217,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15869,c_51]) ).
tcf(c_16224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15868,c_102]) ).
tcf(c_16231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15867,c_49]) ).
tcf(c_16238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( xn = xr )
| ( sK8(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ sdtlseqdt0(X0,sK8(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15866,c_102]) ).
tcf(c_16245,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(X0,sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15861,c_49]) ).
tcf(c_16252,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xp,X0))
| ( xn = xr )
| ( sK8(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ~ sdtlseqdt0(sK8(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15833,c_51]) ).
tcf(c_16259,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xp,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ~ sdtlseqdt0(sdtmndt0(xr,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15832,c_51]) ).
tcf(c_16266,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( xn = xr )
| ( sdtmndt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ sdtlseqdt0(sdtmndt0(xr,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15831,c_102]) ).
tcf(c_16273,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15830,c_49]) ).
tcf(c_16280,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( xn = xr )
| ( sK8(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ sdtlseqdt0(sK8(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15829,c_102]) ).
tcf(c_16287,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15824,c_49]) ).
tcf(c_16606,plain,
( ( sK8(sz00,sK6) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ( sz00 != sK6 ) ),
inference(superposition,[status(thm)],[c_11852,c_91]) ).
tcf(c_16610,plain,
! [X0: $i] :
( doDivides0(X0,sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ~ doDivides0(X0,sK8(sz00,sK6)) ),
inference(superposition,[status(thm)],[c_11852,c_105]) ).
tcf(c_16611,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,sK6))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sK6)) ),
inference(superposition,[status(thm)],[c_11852,c_104]) ).
tcf(c_16612,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sz00,X0))
| ( sK8(sz00,sK6) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ~ sdtlseqdt0(sK8(sz00,sK6),X0) ),
inference(superposition,[status(thm)],[c_11852,c_107]) ).
tcf(c_16613,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK6)
| ( sK8(sz00,sK6) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ~ sdtlseqdt0(X0,sK8(sz00,sK6)) ),
inference(superposition,[status(thm)],[c_11852,c_107]) ).
tcf(c_16614,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ( sdtpldt0(X0,sK8(sz00,sK6)) != sK6 ) ),
inference(superposition,[status(thm)],[c_11852,c_114]) ).
tcf(c_16615,plain,
! [X0: $i] :
( ( sK8(sz00,sK6) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ( sdtpldt0(sz00,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_11852,c_113]) ).
tcf(c_16616,plain,
( ( sK8(sz00,sK6) = sz00 )
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ( sz00 != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16606,c_98]) ).
tcf(c_16620,plain,
! [X0: $i] :
( ( sK8(sz00,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ( sdtpldt0(sz00,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16615,c_98]) ).
tcf(c_16625,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ( sdtpldt0(X0,sK8(sz00,sK6)) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16614,c_98]) ).
tcf(c_16630,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,sK6))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16611,c_98]) ).
tcf(c_16636,plain,
! [X0: $i] :
( doDivides0(X0,sK6)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ~ doDivides0(X0,sK8(sz00,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16610,c_98]) ).
tcf(c_16642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK6)
| ( sK8(sz00,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ~ sdtlseqdt0(X0,sK8(sz00,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16613,c_98]) ).
tcf(c_16648,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sz00,X0))
| ( sK8(sz00,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ~ sdtlseqdt0(sK8(sz00,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16612,c_98]) ).
tcf(c_16665,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ~ doDivides0(X0,sK8(sz00,xp)) ),
inference(superposition,[status(thm)],[c_11853,c_105]) ).
tcf(c_16666,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(sz00,xp)) ),
inference(superposition,[status(thm)],[c_11853,c_104]) ).
tcf(c_16667,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK8(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ~ sdtlseqdt0(sK8(sz00,xp),X0) ),
inference(superposition,[status(thm)],[c_11853,c_107]) ).
tcf(c_16668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK8(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ~ sdtlseqdt0(X0,sK8(sz00,xp)) ),
inference(superposition,[status(thm)],[c_11853,c_107]) ).
tcf(c_16669,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ( sdtpldt0(X0,sK8(sz00,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_11853,c_114]) ).
tcf(c_16670,plain,
! [X0: $i] :
( ( sK8(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_11853,c_113]) ).
tcf(c_16671,plain,
! [X0: $i] :
( ( sK8(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16670,c_98]) ).
tcf(c_16676,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ( sdtpldt0(X0,sK8(sz00,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16669,c_98]) ).
tcf(c_16681,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16666,c_98]) ).
tcf(c_16687,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ~ doDivides0(X0,sK8(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16665,c_98]) ).
tcf(c_16693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK8(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ~ sdtlseqdt0(X0,sK8(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16668,c_98]) ).
tcf(c_16699,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK8(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ~ sdtlseqdt0(sK8(sz00,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16667,c_98]) ).
tcf(c_16738,plain,
( ( sK8(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_11854,c_91]) ).
tcf(c_16742,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ~ doDivides0(X0,sK8(sz00,xm)) ),
inference(superposition,[status(thm)],[c_11854,c_105]) ).
tcf(c_16743,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK8(sz00,xm)) ),
inference(superposition,[status(thm)],[c_11854,c_104]) ).
tcf(c_16744,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK8(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ~ sdtlseqdt0(sK8(sz00,xm),X0) ),
inference(superposition,[status(thm)],[c_11854,c_107]) ).
tcf(c_16745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK8(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ~ sdtlseqdt0(X0,sK8(sz00,xm)) ),
inference(superposition,[status(thm)],[c_11854,c_107]) ).
tcf(c_16746,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ( sdtpldt0(X0,sK8(sz00,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_11854,c_114]) ).
tcf(c_16747,plain,
! [X0: $i] :
( ( sK8(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_11854,c_113]) ).
tcf(c_16748,plain,
( ( sK8(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sK8(sz00,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16738,c_98]) ).
tcf(c_16752,plain,
! [X0: $i] :
( ( sK8(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16747,c_98]) ).
tcf(c_16757,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ( sdtpldt0(X0,sK8(sz00,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16746,c_98]) ).
tcf(c_16762,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK8(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16743,c_98]) ).
tcf(c_16768,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ~ doDivides0(X0,sK8(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16742,c_98]) ).
tcf(c_16774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK8(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ~ sdtlseqdt0(X0,sK8(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16745,c_98]) ).
tcf(c_16780,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK8(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ~ sdtlseqdt0(sK8(sz00,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16744,c_98]) ).
tcf(c_16862,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ~ doDivides0(X0,sK8(sz00,xn)) ),
inference(superposition,[status(thm)],[c_11855,c_105]) ).
tcf(c_16863,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(sz00,xn)) ),
inference(superposition,[status(thm)],[c_11855,c_104]) ).
tcf(c_16864,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK8(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ~ sdtlseqdt0(sK8(sz00,xn),X0) ),
inference(superposition,[status(thm)],[c_11855,c_107]) ).
tcf(c_16865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK8(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ~ sdtlseqdt0(X0,sK8(sz00,xn)) ),
inference(superposition,[status(thm)],[c_11855,c_107]) ).
tcf(c_16866,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ( sdtpldt0(X0,sK8(sz00,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_11855,c_114]) ).
tcf(c_16867,plain,
! [X0: $i] :
( ( sK8(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_11855,c_113]) ).
tcf(c_16868,plain,
! [X0: $i] :
( ( sK8(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16867,c_98]) ).
tcf(c_16873,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ( sdtpldt0(X0,sK8(sz00,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16866,c_98]) ).
tcf(c_16878,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16863,c_98]) ).
tcf(c_16884,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ~ doDivides0(X0,sK8(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16862,c_98]) ).
tcf(c_16890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK8(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ~ sdtlseqdt0(X0,sK8(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16865,c_98]) ).
tcf(c_16896,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK8(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ~ sdtlseqdt0(sK8(sz00,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16864,c_98]) ).
tcf(c_16942,plain,
( sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_99,c_16231]) ).
tcf(c_16944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_140,c_16231]) ).
tcf(c_16945,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_12933,c_16231]) ).
tcf(c_16946,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16945,c_49]) ).
tcf(c_16958,plain,
( sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16942,c_102]) ).
tcf(c_16978,plain,
( sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_99,c_16245]) ).
tcf(c_16980,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_140,c_16245]) ).
tcf(c_16981,plain,
( sdtlseqdt0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_12933,c_16245]) ).
tcf(c_16982,plain,
( sdtlseqdt0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16981,c_49]) ).
tcf(c_16994,plain,
( sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16978,c_102]) ).
tcf(c_17013,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0)) ),
inference(superposition,[status(thm)],[c_84,c_16273]) ).
tcf(c_17015,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0)) ),
inference(superposition,[status(thm)],[c_212,c_16273]) ).
tcf(c_17017,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_140,c_16273]) ).
tcf(c_17018,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_12933,c_16273]) ).
tcf(c_17019,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17018,c_79]) ).
tcf(c_17073,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sK8(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_84,c_16287]) ).
tcf(c_17075,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sK8(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_212,c_16287]) ).
tcf(c_17077,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| sdtlseqdt0(X0,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_140,c_16287]) ).
tcf(c_17078,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_12933,c_16287]) ).
tcf(c_17079,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17078,c_79]) ).
tcf(c_17118,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_10234,c_16944]) ).
tcf(c_17119,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sK8(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xn) )
| ~ aNaturalNumber0(sK8(xn,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_16944]) ).
tcf(c_17122,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xn,X1),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_141]) ).
tcf(c_17123,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtmndt0(xr,xn),sdtmndt0(X0,sdtmndt0(xr,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_146]) ).
tcf(c_17125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtmndt0(xr,xn),sK8(sdtmndt0(xr,xn),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_112]) ).
tcf(c_17126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| iLess0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_120]) ).
tcf(c_17127,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,xp),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_13044]) ).
tcf(c_17129,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_13016]) ).
tcf(c_17131,plain,
( sdtlseqdt0(sdtpldt0(xn,sK8(xn,xr)),xr)
| sdtlseqdt0(sdtpldt0(xn,sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_16245]) ).
tcf(c_17132,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_16273]) ).
tcf(c_17133,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),X1)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(superposition,[status(thm)],[c_16944,c_141]) ).
tcf(c_17134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_16944,c_146]) ).
tcf(c_17135,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_16944,c_142]) ).
tcf(c_17136,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_16944,c_112]) ).
tcf(c_17137,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_16944,c_120]) ).
tcf(c_17138,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17118,c_98]) ).
tcf(c_17150,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17129,c_102]) ).
tcf(c_17156,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,xp),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17127,c_51]) ).
tcf(c_17200,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17137,c_79]) ).
tcf(c_17209,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17136,c_79]) ).
tcf(c_17217,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17135,c_79]) ).
tcf(c_17226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17134,c_79]) ).
tcf(c_17234,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),X1)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17133,c_79]) ).
tcf(c_17271,plain,
! [X0: $i] :
( ( xr = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sz00 ) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_17280,plain,
( ( xr = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ( sdtpldt0(xr,sz00) != sz00 ) ),
inference(instantiation,[status(thm)],[c_17271]) ).
tcf(c_17320,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),sz00)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_10234,c_16980]) ).
tcf(c_17321,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),sK8(xn,xn))
| ( xn = xr )
| ( sK8(xn,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_16980]) ).
tcf(c_17324,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xn,X1),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(X0,sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_141]) ).
tcf(c_17325,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sK8(xn,xr),sdtmndt0(X0,sK8(xn,xr))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_146]) ).
tcf(c_17327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sK8(xn,xr),sK8(sK8(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_112]) ).
tcf(c_17328,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| iLess0(sK8(xn,xr),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_120]) ).
tcf(c_17329,plain,
( sdtlseqdt0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtpldt0(xn,xp),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_13044]) ).
tcf(c_17331,plain,
( sdtlseqdt0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_13016]) ).
tcf(c_17334,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_16287]) ).
tcf(c_17335,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sK8(xn,xr),X1)
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(superposition,[status(thm)],[c_16980,c_141]) ).
tcf(c_17336,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xr),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_16980,c_146]) ).
tcf(c_17337,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xr),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_16980,c_142]) ).
tcf(c_17338,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xr),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_16980,c_112]) ).
tcf(c_17339,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xr),X0)
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_16980,c_120]) ).
tcf(c_17340,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),sz00)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17320,c_98]) ).
tcf(c_17352,plain,
( sdtlseqdt0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17331,c_102]) ).
tcf(c_17358,plain,
( sdtlseqdt0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtpldt0(xn,xp),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17329,c_51]) ).
tcf(c_17396,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xr),X0)
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17339,c_79]) ).
tcf(c_17405,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xr),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17338,c_79]) ).
tcf(c_17413,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xr),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17337,c_79]) ).
tcf(c_17422,plain,
! [X0: $i] :
( sdtlseqdt0(sK8(xn,xr),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17336,c_79]) ).
tcf(c_17430,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sK8(xn,xr),X1)
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17335,c_79]) ).
tcf(c_17454,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ~ doDivides0(X0,sK8(sz10,xp)) ),
inference(superposition,[status(thm)],[c_11856,c_105]) ).
tcf(c_17455,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(sz10,xp)) ),
inference(superposition,[status(thm)],[c_11856,c_104]) ).
tcf(c_17456,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz10,X0))
| ( sK8(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ~ sdtlseqdt0(sK8(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_11856,c_107]) ).
tcf(c_17457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xp)
| ( sK8(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ~ sdtlseqdt0(X0,sK8(sz10,xp)) ),
inference(superposition,[status(thm)],[c_11856,c_107]) ).
tcf(c_17458,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ( sdtpldt0(X0,sK8(sz10,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_11856,c_114]) ).
tcf(c_17459,plain,
! [X0: $i] :
( ( sK8(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ( sdtpldt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_11856,c_113]) ).
tcf(c_17460,plain,
! [X0: $i] :
( ( sK8(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ( sdtpldt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17459,c_102]) ).
tcf(c_17465,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ( sdtpldt0(X0,sK8(sz10,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17458,c_102]) ).
tcf(c_17470,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17455,c_102]) ).
tcf(c_17476,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ~ doDivides0(X0,sK8(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17454,c_102]) ).
tcf(c_17482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xp)
| ( sK8(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ~ sdtlseqdt0(X0,sK8(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17457,c_102]) ).
tcf(c_17488,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz10,X0))
| ( sK8(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ~ sdtlseqdt0(sK8(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17456,c_102]) ).
tcf(c_17512,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK7))
| ( X0 = xp )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_77,c_109]) ).
tcf(c_17513,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xr))
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_80,c_109]) ).
tcf(c_17514,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10241,c_109]) ).
tcf(c_17515,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sz00))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_10240,c_109]) ).
tcf(c_17516,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK8(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_11845,c_109]) ).
tcf(c_17517,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_10242,c_109]) ).
tcf(c_17518,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sz00))
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0) ),
inference(superposition,[status(thm)],[c_10239,c_109]) ).
tcf(c_17519,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sz00))
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0) ),
inference(superposition,[status(thm)],[c_10238,c_109]) ).
tcf(c_17520,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_10236,c_109]) ).
tcf(c_17521,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_10235,c_109]) ).
tcf(c_17522,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_10234,c_109]) ).
tcf(c_17523,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10250,c_109]) ).
tcf(c_17524,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10251,c_109]) ).
tcf(c_17525,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10252,c_109]) ).
tcf(c_17526,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sK6))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10254,c_109]) ).
tcf(c_17527,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sK7))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10255,c_109]) ).
tcf(c_17528,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10256,c_109]) ).
tcf(c_17529,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10258,c_109]) ).
tcf(c_17530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sdtasdt0(xp,sK6)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10456,c_109]) ).
tcf(c_17531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),X0) ),
inference(superposition,[status(thm)],[c_10457,c_109]) ).
tcf(c_17532,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK8(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_109]) ).
tcf(c_17533,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK8(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK8(xm,xm)) ),
inference(superposition,[status(thm)],[c_11843,c_109]) ).
tcf(c_17534,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK8(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK8(xp,xp)) ),
inference(superposition,[status(thm)],[c_11842,c_109]) ).
tcf(c_17535,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sK8(sK6,sK6)))
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0)
| ~ aNaturalNumber0(sK8(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_11841,c_109]) ).
tcf(c_17536,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sK8(sK7,sK7)))
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0)
| ~ aNaturalNumber0(sK8(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_11840,c_109]) ).
tcf(c_17537,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK8(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK8(xr,xr)) ),
inference(superposition,[status(thm)],[c_11839,c_109]) ).
tcf(c_17538,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK8(sz10,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,xp)) ),
inference(superposition,[status(thm)],[c_11856,c_109]) ).
tcf(c_17539,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK8(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_11838,c_109]) ).
tcf(c_17540,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK8(xn,xr)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_11878,c_109]) ).
tcf(c_17541,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK8(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,xn)) ),
inference(superposition,[status(thm)],[c_11855,c_109]) ).
tcf(c_17542,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK8(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,xm)) ),
inference(superposition,[status(thm)],[c_11854,c_109]) ).
tcf(c_17543,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK8(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,xp)) ),
inference(superposition,[status(thm)],[c_11853,c_109]) ).
tcf(c_17544,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sK8(sz00,sK6)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,sK6)) ),
inference(superposition,[status(thm)],[c_11852,c_109]) ).
tcf(c_17545,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sK8(sz00,sK7)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,sK7)) ),
inference(superposition,[status(thm)],[c_11851,c_109]) ).
tcf(c_17546,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK8(sz00,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,xr)) ),
inference(superposition,[status(thm)],[c_11850,c_109]) ).
tcf(c_17547,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK8(sz00,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_11849,c_109]) ).
tcf(c_17548,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK8(sz10,xn)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,xn)) ),
inference(superposition,[status(thm)],[c_11848,c_109]) ).
tcf(c_17549,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK8(sz10,xr)))
| ( xn = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(superposition,[status(thm)],[c_13006,c_109]) ).
tcf(c_17550,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_12405,c_109]) ).
tcf(c_17551,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,sz10)))
| ( xn = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_13013,c_109]) ).
tcf(c_17552,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xp)))
| ( xn = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_13041,c_109]) ).
tcf(c_17553,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK8(xp,xr)))
| ( xn = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK8(xp,xr)) ),
inference(superposition,[status(thm)],[c_13034,c_109]) ).
tcf(c_17554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK7),xn)
| ( X0 = xp )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_77,c_109]) ).
tcf(c_17555,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xn)
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_80,c_109]) ).
tcf(c_17556,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10241,c_109]) ).
tcf(c_17557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_10240,c_109]) ).
tcf(c_17558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_11845,c_109]) ).
tcf(c_17559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_10242,c_109]) ).
tcf(c_17560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK7)
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7) ),
inference(superposition,[status(thm)],[c_10239,c_109]) ).
tcf(c_17561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK6)
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6) ),
inference(superposition,[status(thm)],[c_10238,c_109]) ).
tcf(c_17562,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_10236,c_109]) ).
tcf(c_17563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_10235,c_109]) ).
tcf(c_17564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_10234,c_109]) ).
tcf(c_17565,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10250,c_109]) ).
tcf(c_17566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10251,c_109]) ).
tcf(c_17567,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10252,c_109]) ).
tcf(c_17568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK6),sK6)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10254,c_109]) ).
tcf(c_17569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK7),sK7)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10255,c_109]) ).
tcf(c_17570,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10256,c_109]) ).
tcf(c_17571,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10258,c_109]) ).
tcf(c_17572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,sK6)),sdtasdt0(xp,sK6))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10456,c_109]) ).
tcf(c_17573,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10457,c_109]) ).
tcf(c_17574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_109]) ).
tcf(c_17575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK8(xm,xm)) ),
inference(superposition,[status(thm)],[c_11843,c_109]) ).
tcf(c_17576,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xp)) ),
inference(superposition,[status(thm)],[c_11842,c_109]) ).
tcf(c_17577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sK6,sK6)),sK6)
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(sK8(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_11841,c_109]) ).
tcf(c_17578,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sK7,sK7)),sK7)
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(sK8(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_11840,c_109]) ).
tcf(c_17579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xr,xr)) ),
inference(superposition,[status(thm)],[c_11839,c_109]) ).
tcf(c_17580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,xp)),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xp)) ),
inference(superposition,[status(thm)],[c_11856,c_109]) ).
tcf(c_17581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_11838,c_109]) ).
tcf(c_17582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xn,xr)),xr)
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_11878,c_109]) ).
tcf(c_17583,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xn)) ),
inference(superposition,[status(thm)],[c_11855,c_109]) ).
tcf(c_17584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xm)) ),
inference(superposition,[status(thm)],[c_11854,c_109]) ).
tcf(c_17585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xp)) ),
inference(superposition,[status(thm)],[c_11853,c_109]) ).
tcf(c_17586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,sK6)),sK6)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sK6)) ),
inference(superposition,[status(thm)],[c_11852,c_109]) ).
tcf(c_17587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,sK7)),sK7)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sK7)) ),
inference(superposition,[status(thm)],[c_11851,c_109]) ).
tcf(c_17588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,xr)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xr)) ),
inference(superposition,[status(thm)],[c_11850,c_109]) ).
tcf(c_17589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,sz10)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_11849,c_109]) ).
tcf(c_17590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,xn)),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xn)) ),
inference(superposition,[status(thm)],[c_11848,c_109]) ).
tcf(c_17591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,xr)),xr)
| ( xn = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(superposition,[status(thm)],[c_13006,c_109]) ).
tcf(c_17592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_12405,c_109]) ).
tcf(c_17593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,sz10)),xr)
| ( xn = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_13013,c_109]) ).
tcf(c_17594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xp)),xr)
| ( xn = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xr,xp)) ),
inference(superposition,[status(thm)],[c_13041,c_109]) ).
tcf(c_17595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xp,xr)),xr)
| ( xn = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xr)) ),
inference(superposition,[status(thm)],[c_13034,c_109]) ).
tcf(c_17596,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_109,c_141]) ).
tcf(c_17597,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(sdtpldt0(X2,X1),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_109,c_146]) ).
tcf(c_17598,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_109,c_142]) ).
tcf(c_17599,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK8(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_109,c_112]) ).
tcf(c_17600,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_109,c_120]) ).
tcf(c_17601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17556,c_98]) ).
tcf(c_17606,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17514,c_98]) ).
tcf(c_17611,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17571,c_102,c_98]) ).
tcf(c_17616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17570,c_79,c_98]) ).
tcf(c_17621,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK7),sK7)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17569,c_76,c_98]) ).
tcf(c_17626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK6),sK6)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17568,c_73,c_98]) ).
tcf(c_17631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17567,c_98,c_51]) ).
tcf(c_17636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17566,c_98,c_50]) ).
tcf(c_17641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17565,c_98,c_49]) ).
tcf(c_17646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17564,c_98,c_49]) ).
tcf(c_17651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17563,c_98,c_50]) ).
tcf(c_17656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17562,c_98,c_51]) ).
tcf(c_17661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK6)
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17561,c_73,c_98]) ).
tcf(c_17666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sK7)
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17560,c_76,c_98]) ).
tcf(c_17671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17559,c_102,c_98]) ).
tcf(c_17676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17557,c_79,c_98]) ).
tcf(c_17681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xn)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17555,c_79,c_51]) ).
tcf(c_17686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK7),xn)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17554,c_76,c_51]) ).
tcf(c_17691,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17529,c_102,c_98]) ).
tcf(c_17696,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17528,c_79,c_98]) ).
tcf(c_17701,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sK7))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17527,c_76,c_98]) ).
tcf(c_17706,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sK6))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17526,c_73,c_98]) ).
tcf(c_17711,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17525,c_98,c_51]) ).
tcf(c_17716,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17524,c_98,c_50]) ).
tcf(c_17721,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17523,c_98,c_49]) ).
tcf(c_17726,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17522,c_98,c_49]) ).
tcf(c_17731,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17521,c_98,c_50]) ).
tcf(c_17736,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17520,c_98,c_51]) ).
tcf(c_17741,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sz00))
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17519,c_73,c_98]) ).
tcf(c_17746,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sz00))
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17518,c_76,c_98]) ).
tcf(c_17751,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17517,c_102,c_98]) ).
tcf(c_17756,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sz00))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17515,c_79,c_98]) ).
tcf(c_17761,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xr))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17513,c_79,c_51]) ).
tcf(c_17766,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK7))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17512,c_76,c_51]) ).
tcf(c_17771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,xn)),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17590,c_102]) ).
tcf(c_17777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,sz10)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17589,c_98]) ).
tcf(c_17783,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,xr)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17588,c_98]) ).
tcf(c_17789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,sK7)),sK7)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17587,c_98]) ).
tcf(c_17795,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,sK6)),sK6)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17586,c_98]) ).
tcf(c_17801,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17585,c_98]) ).
tcf(c_17807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17584,c_98]) ).
tcf(c_17813,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17583,c_98]) ).
tcf(c_17819,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17581,c_102]) ).
tcf(c_17825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,xp)),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17580,c_102]) ).
tcf(c_17831,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17579,c_79]) ).
tcf(c_17837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sK7,sK7)),sK7)
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(sK8(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17578,c_76]) ).
tcf(c_17843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sK6,sK6)),sK6)
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(sK8(sK6,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17577,c_73]) ).
tcf(c_17849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17576,c_51]) ).
tcf(c_17855,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK8(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17575,c_50]) ).
tcf(c_17861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17574,c_49]) ).
tcf(c_17867,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17558,c_98]) ).
tcf(c_17873,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK8(sz10,xn)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17548,c_102]) ).
tcf(c_17879,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK8(sz00,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17547,c_98]) ).
tcf(c_17885,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK8(sz00,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17546,c_98]) ).
tcf(c_17891,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sK8(sz00,sK7)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17545,c_98]) ).
tcf(c_17897,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sK8(sz00,sK6)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17544,c_98]) ).
tcf(c_17903,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK8(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17543,c_98]) ).
tcf(c_17909,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK8(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17542,c_98]) ).
tcf(c_17915,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK8(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17541,c_98]) ).
tcf(c_17921,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK8(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17539,c_102]) ).
tcf(c_17927,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK8(sz10,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17538,c_102]) ).
tcf(c_17933,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK8(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK8(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17537,c_79]) ).
tcf(c_17939,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sK8(sK7,sK7)))
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0)
| ~ aNaturalNumber0(sK8(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17536,c_76]) ).
tcf(c_17945,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sK8(sK6,sK6)))
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0)
| ~ aNaturalNumber0(sK8(sK6,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17535,c_73]) ).
tcf(c_17951,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK8(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK8(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17534,c_51]) ).
tcf(c_17957,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK8(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK8(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17533,c_50]) ).
tcf(c_17963,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK8(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17532,c_49]) ).
tcf(c_17969,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK8(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17516,c_98]) ).
tcf(c_17975,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,sK6)),sdtasdt0(xp,sK6))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17572,c_98,c_10386]) ).
tcf(c_17980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sdtasdt0(xp,sK6)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17530,c_98,c_10386]) ).
tcf(c_17985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xp,xr)),xr)
| ( xn = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17595,c_51]) ).
tcf(c_17992,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xp)),xr)
| ( xn = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17594,c_51]) ).
tcf(c_17999,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,sz10)),xr)
| ( xn = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17593,c_102]) ).
tcf(c_18006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17592,c_49]) ).
tcf(c_18013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,xr)),xr)
| ( xn = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17591,c_102]) ).
tcf(c_18020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xn,xr)),xr)
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17582,c_49]) ).
tcf(c_18027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17573,c_98,c_10386]) ).
tcf(c_18032,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK8(xp,xr)))
| ( xn = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK8(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17553,c_51]) ).
tcf(c_18039,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xp)))
| ( xn = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17552,c_51]) ).
tcf(c_18046,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,sz10)))
| ( xn = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17551,c_102]) ).
tcf(c_18053,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17550,c_49]) ).
tcf(c_18060,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK8(sz10,xr)))
| ( xn = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17549,c_102]) ).
tcf(c_18067,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK8(xn,xr)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17540,c_49]) ).
tcf(c_18074,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17531,c_98,c_10386]) ).
tcf(c_18446,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_74,c_92]) ).
tcf(c_18447,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10211,c_92]) ).
tcf(c_18450,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10203,c_92]) ).
tcf(c_18451,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10204,c_92]) ).
tcf(c_18452,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10205,c_92]) ).
tcf(c_18453,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK6,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10207,c_92]) ).
tcf(c_18454,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK7,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10208,c_92]) ).
tcf(c_18455,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10209,c_92]) ).
tcf(c_18462,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_10266,c_92]) ).
tcf(c_18463,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_10267,c_92]) ).
tcf(c_18464,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_10268,c_92]) ).
tcf(c_18465,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK6,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_10270,c_92]) ).
tcf(c_18466,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK7,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_10271,c_92]) ).
tcf(c_18467,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_10272,c_92]) ).
tcf(c_18468,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_10274,c_92]) ).
tcf(c_18469,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_10282,c_92]) ).
tcf(c_18470,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_10283,c_92]) ).
tcf(c_18471,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_10284,c_92]) ).
tcf(c_18472,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_10286,c_92]) ).
tcf(c_18473,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_10287,c_92]) ).
tcf(c_18474,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_10288,c_92]) ).
tcf(c_18475,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10454,c_92]) ).
tcf(c_18476,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ( sdtasdt0(sdtasdt0(xp,sK6),X0) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10455,c_92]) ).
tcf(c_18478,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ( sdtasdt0(sdtasdt0(xp,sK6),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10459,c_92]) ).
tcf(c_18480,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18468,c_103,c_102]) ).
tcf(c_18484,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18474,c_103,c_79,c_102]) ).
tcf(c_18488,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18473,c_103,c_76,c_102]) ).
tcf(c_18492,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18472,c_103,c_73,c_102]) ).
tcf(c_18496,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18471,c_103,c_102,c_51]) ).
tcf(c_18500,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18470,c_103,c_102,c_50]) ).
tcf(c_18504,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18469,c_103,c_102,c_49]) ).
tcf(c_18508,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18467,c_79,c_102]) ).
tcf(c_18513,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK7,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18466,c_76,c_102]) ).
tcf(c_18518,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK6,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18465,c_73,c_102]) ).
tcf(c_18523,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18464,c_68,c_102,c_51]) ).
tcf(c_18527,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18463,c_102,c_50]) ).
tcf(c_18532,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18462,c_11487,c_102,c_49]) ).
tcf(c_18536,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18455,c_79,c_98]) ).
tcf(c_18541,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK7,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18454,c_76,c_98]) ).
tcf(c_18546,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sK6,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18453,c_73,c_98]) ).
tcf(c_18551,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18452,c_68,c_98,c_51]) ).
tcf(c_18555,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18451,c_98,c_50]) ).
tcf(c_18560,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18450,c_11487,c_98,c_49]) ).
tcf(c_18564,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18447,c_103,c_102,c_98]) ).
tcf(c_18568,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18446,c_11487,c_50,c_49]) ).
tcf(c_18572,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,sK6),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18478,c_98,c_10386]) ).
tcf(c_18577,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18475,c_103,c_102,c_10386]) ).
tcf(c_18581,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,sK6),X0) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18476,c_102,c_10386]) ).
tcf(c_18650,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_74,c_93]) ).
tcf(c_18652,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz00 ) ),
inference(superposition,[status(thm)],[c_10227,c_93]) ).
tcf(c_18660,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_10219,c_93]) ).
tcf(c_18661,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_10220,c_93]) ).
tcf(c_18662,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_10221,c_93]) ).
tcf(c_18663,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK6) != sz00 ) ),
inference(superposition,[status(thm)],[c_10223,c_93]) ).
tcf(c_18664,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK7) != sz00 ) ),
inference(superposition,[status(thm)],[c_10224,c_93]) ).
tcf(c_18665,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_10225,c_93]) ).
tcf(c_18666,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xn ) ),
inference(superposition,[status(thm)],[c_10266,c_93]) ).
tcf(c_18667,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xm ) ),
inference(superposition,[status(thm)],[c_10267,c_93]) ).
tcf(c_18668,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xp ) ),
inference(superposition,[status(thm)],[c_10268,c_93]) ).
tcf(c_18669,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK6 ) ),
inference(superposition,[status(thm)],[c_10270,c_93]) ).
tcf(c_18670,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK7 ) ),
inference(superposition,[status(thm)],[c_10271,c_93]) ).
tcf(c_18671,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xr ) ),
inference(superposition,[status(thm)],[c_10272,c_93]) ).
tcf(c_18672,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz10 ) ),
inference(superposition,[status(thm)],[c_10274,c_93]) ).
tcf(c_18673,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_10282,c_93]) ).
tcf(c_18674,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_10283,c_93]) ).
tcf(c_18675,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_10284,c_93]) ).
tcf(c_18676,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK6) != sK6 ) ),
inference(superposition,[status(thm)],[c_10286,c_93]) ).
tcf(c_18677,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK7) != sK7 ) ),
inference(superposition,[status(thm)],[c_10287,c_93]) ).
tcf(c_18678,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != xr ) ),
inference(superposition,[status(thm)],[c_10288,c_93]) ).
tcf(c_18679,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ( sdtasdt0(X0,sdtasdt0(xp,sK6)) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10454,c_93]) ).
tcf(c_18680,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10455,c_93]) ).
tcf(c_18681,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ( sdtasdt0(X0,sdtasdt0(xp,sK6)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10458,c_93]) ).
tcf(c_18684,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18672,c_103,c_102]) ).
tcf(c_18688,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18678,c_79,c_102]) ).
tcf(c_18693,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK7) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18677,c_76,c_102]) ).
tcf(c_18698,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK6) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18676,c_73,c_102]) ).
tcf(c_18703,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18675,c_68,c_102,c_51]) ).
tcf(c_18707,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18674,c_102,c_50]) ).
tcf(c_18712,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18673,c_11487,c_102,c_49]) ).
tcf(c_18716,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18671,c_103,c_79,c_102]) ).
tcf(c_18720,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18670,c_103,c_76,c_102]) ).
tcf(c_18724,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18669,c_103,c_73,c_102]) ).
tcf(c_18728,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18668,c_103,c_102,c_51]) ).
tcf(c_18732,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18667,c_103,c_102,c_50]) ).
tcf(c_18736,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18666,c_103,c_102,c_49]) ).
tcf(c_18740,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18665,c_79,c_98]) ).
tcf(c_18745,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK7) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18664,c_76,c_98]) ).
tcf(c_18750,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sK6) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18663,c_73,c_98]) ).
tcf(c_18755,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18662,c_68,c_98,c_51]) ).
tcf(c_18759,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18661,c_98,c_50]) ).
tcf(c_18764,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18660,c_11487,c_98,c_49]) ).
tcf(c_18768,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18652,c_103,c_102,c_98]) ).
tcf(c_18772,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18650,c_50,c_49]) ).
tcf(c_18777,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,sK6)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18681,c_98,c_10386]) ).
tcf(c_18782,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18680,c_103,c_102,c_10386]) ).
tcf(c_18786,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,sK6)) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18679,c_102,c_10386]) ).
tcf(c_18932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_74,c_86]) ).
tcf(c_18933,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_10211,c_86]) ).
tcf(c_18936,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_10203,c_86]) ).
tcf(c_18937,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_10204,c_86]) ).
tcf(c_18938,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_10205,c_86]) ).
tcf(c_18939,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK6,X0))
| ( sz00 = sK6 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10207,c_86]) ).
tcf(c_18940,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK7,X0))
| ( sz00 = sK7 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10208,c_86]) ).
tcf(c_18941,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_10209,c_86]) ).
tcf(c_18948,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_10266,c_86]) ).
tcf(c_18949,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_10267,c_86]) ).
tcf(c_18950,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_10268,c_86]) ).
tcf(c_18951,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(sK6,X0))
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_10270,c_86]) ).
tcf(c_18952,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(sK7,X0))
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_10271,c_86]) ).
tcf(c_18953,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_10272,c_86]) ).
tcf(c_18954,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_10274,c_86]) ).
tcf(c_18955,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_10282,c_86]) ).
tcf(c_18956,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_10283,c_86]) ).
tcf(c_18957,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_10284,c_86]) ).
tcf(c_18958,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0) ),
inference(superposition,[status(thm)],[c_10286,c_86]) ).
tcf(c_18959,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0) ),
inference(superposition,[status(thm)],[c_10287,c_86]) ).
tcf(c_18960,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_10288,c_86]) ).
tcf(c_18961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),X0) ),
inference(superposition,[status(thm)],[c_10454,c_86]) ).
tcf(c_18962,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(sdtasdt0(xp,sK6),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10455,c_86]) ).
tcf(c_18964,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,sK6),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10459,c_86]) ).
tcf(c_18965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xp,sK6))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_74,c_86]) ).
tcf(c_18966,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_10211,c_86]) ).
tcf(c_18969,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_10203,c_86]) ).
tcf(c_18970,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_10204,c_86]) ).
tcf(c_18971,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_10205,c_86]) ).
tcf(c_18972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6,X0),sz00)
| ( sz00 = sK6 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10207,c_86]) ).
tcf(c_18973,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK7,X0),sz00)
| ( sz00 = sK7 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10208,c_86]) ).
tcf(c_18974,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_10209,c_86]) ).
tcf(c_18981,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_10266,c_86]) ).
tcf(c_18982,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_10267,c_86]) ).
tcf(c_18983,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_10268,c_86]) ).
tcf(c_18984,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6,X0),sK6)
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_10270,c_86]) ).
tcf(c_18985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK7,X0),sK7)
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_10271,c_86]) ).
tcf(c_18986,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_10272,c_86]) ).
tcf(c_18987,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_10274,c_86]) ).
tcf(c_18988,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_10282,c_86]) ).
tcf(c_18989,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_10283,c_86]) ).
tcf(c_18990,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_10284,c_86]) ).
tcf(c_18991,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK6)
| ( sz00 = sz10 )
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6) ),
inference(superposition,[status(thm)],[c_10286,c_86]) ).
tcf(c_18992,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK7)
| ( sz00 = sz10 )
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7) ),
inference(superposition,[status(thm)],[c_10287,c_86]) ).
tcf(c_18993,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_10288,c_86]) ).
tcf(c_18994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xp,sK6))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10454,c_86]) ).
tcf(c_18995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,sK6),X0),sdtasdt0(xp,sK6))
| ( X0 = sz10 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10455,c_86]) ).
tcf(c_18997,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,sK6),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10459,c_86]) ).
tcf(c_18998,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_86,c_141]) ).
tcf(c_18999,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtmndt0(sdtasdt0(X0,X2),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_86,c_146]) ).
tcf(c_19000,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_86,c_142]) ).
tcf(c_19001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK8(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_86,c_112]) ).
tcf(c_19002,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_86,c_120]) ).
tcf(c_19003,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18987,c_103,c_102]) ).
tcf(c_19008,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18954,c_103,c_102]) ).
tcf(c_19013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18993,c_103,c_79,c_102]) ).
tcf(c_19018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK7)
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18992,c_103,c_76,c_102]) ).
tcf(c_19023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK6)
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18991,c_103,c_73,c_102]) ).
tcf(c_19028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18990,c_103,c_102,c_51]) ).
tcf(c_19033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18989,c_103,c_102,c_50]) ).
tcf(c_19038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18988,c_103,c_102,c_49]) ).
tcf(c_19043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18986,c_79,c_102]) ).
tcf(c_19049,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK7,X0),sK7)
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18985,c_76,c_102]) ).
tcf(c_19055,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6,X0),sK6)
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18984,c_73,c_102]) ).
tcf(c_19061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18983,c_68,c_102,c_51]) ).
tcf(c_19066,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18982,c_102,c_50]) ).
tcf(c_19072,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18981,c_11487,c_102,c_49]) ).
tcf(c_19077,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18974,c_79,c_98]) ).
tcf(c_19083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK7,X0),sz00)
| ( sz00 = sK7 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18973,c_76,c_98]) ).
tcf(c_19089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6,X0),sz00)
| ( sz00 = sK6 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18972,c_73,c_98]) ).
tcf(c_19095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18971,c_68,c_98,c_51]) ).
tcf(c_19100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18970,c_98,c_50]) ).
tcf(c_19106,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18969,c_11487,c_98,c_49]) ).
tcf(c_19111,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18966,c_103,c_102,c_98]) ).
tcf(c_19116,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18960,c_103,c_79,c_102]) ).
tcf(c_19121,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(sz10,X0))
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18959,c_103,c_76,c_102]) ).
tcf(c_19126,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(sz10,X0))
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18958,c_103,c_73,c_102]) ).
tcf(c_19131,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18957,c_103,c_102,c_51]) ).
tcf(c_19136,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18956,c_103,c_102,c_50]) ).
tcf(c_19141,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18955,c_103,c_102,c_49]) ).
tcf(c_19146,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18953,c_79,c_102]) ).
tcf(c_19152,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(sK7,X0))
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18952,c_76,c_102]) ).
tcf(c_19158,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(sK6,X0))
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18951,c_73,c_102]) ).
tcf(c_19164,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18950,c_68,c_102,c_51]) ).
tcf(c_19169,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18949,c_102,c_50]) ).
tcf(c_19175,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18948,c_11487,c_102,c_49]) ).
tcf(c_19180,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18941,c_79,c_98]) ).
tcf(c_19186,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK7,X0))
| ( sz00 = sK7 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18940,c_76,c_98]) ).
tcf(c_19192,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK6,X0))
| ( sz00 = sK6 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18939,c_73,c_98]) ).
tcf(c_19198,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18938,c_68,c_98,c_51]) ).
tcf(c_19203,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18937,c_98,c_50]) ).
tcf(c_19209,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18936,c_11487,c_98,c_49]) ).
tcf(c_19214,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18933,c_103,c_102,c_98]) ).
tcf(c_19219,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xp,sK6))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18965,c_11487,c_50,c_49]) ).
tcf(c_19224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(xn,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18932,c_11487,c_50,c_49]) ).
tcf(c_19229,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,sK6),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18997,c_98,c_10386]) ).
tcf(c_19235,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,sK6),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18964,c_98,c_10386]) ).
tcf(c_19241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,sK6),X0),sdtasdt0(xp,sK6))
| ( X0 = sz10 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18995,c_102,c_10386]) ).
tcf(c_19247,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18994,c_103,c_102,c_10386]) ).
tcf(c_19252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(sdtasdt0(xp,sK6),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18962,c_102,c_10386]) ).
tcf(c_19258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(sz10,X0))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18961,c_103,c_102,c_10386]) ).
tcf(c_19470,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xp,xn)),xn)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xn)) ),
inference(superposition,[status(thm)],[c_11857,c_109]) ).
tcf(c_19471,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xn))
| ~ doDivides0(X0,sK8(xp,xn)) ),
inference(superposition,[status(thm)],[c_11857,c_105]) ).
tcf(c_19472,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xp,xn)) ),
inference(superposition,[status(thm)],[c_11857,c_104]) ).
tcf(c_19473,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xp,X0))
| ( sK8(xp,xn) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ~ sdtlseqdt0(sK8(xp,xn),X0) ),
inference(superposition,[status(thm)],[c_11857,c_107]) ).
tcf(c_19474,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xn)
| ( sK8(xp,xn) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ~ sdtlseqdt0(X0,sK8(xp,xn)) ),
inference(superposition,[status(thm)],[c_11857,c_107]) ).
tcf(c_19475,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ( sdtpldt0(X0,sK8(xp,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_11857,c_114]) ).
tcf(c_19476,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK8(xp,xn)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK8(xp,xn)) ),
inference(superposition,[status(thm)],[c_11857,c_109]) ).
tcf(c_19477,plain,
! [X0: $i] :
( ( sK8(xp,xn) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ( sdtpldt0(xp,X0) != xn ) ),
inference(superposition,[status(thm)],[c_11857,c_113]) ).
tcf(c_19478,plain,
! [X0: $i] :
( ( sK8(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ( sdtpldt0(xp,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19477,c_51]) ).
tcf(c_19483,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ( sdtpldt0(X0,sK8(xp,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19475,c_51]) ).
tcf(c_19488,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xp,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19472,c_51]) ).
tcf(c_19494,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xn))
| ~ doDivides0(X0,sK8(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19471,c_51]) ).
tcf(c_19500,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK8(xp,xn)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK8(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19476,c_51]) ).
tcf(c_19506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xp,xn)),xn)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK8(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19470,c_51]) ).
tcf(c_19512,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xn)
| ( sK8(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ~ sdtlseqdt0(X0,sK8(xp,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19474,c_51]) ).
tcf(c_19518,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xp,X0))
| ( sK8(xp,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ~ sdtlseqdt0(sK8(xp,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19473,c_51]) ).
tcf(c_19549,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK9(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_12088,c_92]) ).
tcf(c_19550,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK9(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ sdtlseqdt0(sK9(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_12088,c_86]) ).
tcf(c_19551,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz00 = sz10 )
| ( sK9(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ sdtlseqdt0(X0,sK9(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_12088,c_86]) ).
tcf(c_19552,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ( sdtasdt0(X0,sK9(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_12088,c_93]) ).
tcf(c_19553,plain,
! [X0: $i] :
( ( sK9(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19549,c_103,c_102]) ).
tcf(c_19558,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ( sdtasdt0(X0,sK9(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19552,c_102]) ).
tcf(c_19564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sK9(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ sdtlseqdt0(X0,sK9(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19551,c_103,c_102]) ).
tcf(c_19570,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sK9(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ sdtlseqdt0(sK9(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19550,c_103,c_102]) ).
tcf(c_19593,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( sK9(sK7,sK7) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ( sdtasdt0(sK7,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_12089,c_92]) ).
tcf(c_19594,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(sK7,X0))
| ( sz00 = sK7 )
| ( sK9(sK7,sK7) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ sdtlseqdt0(sK9(sK7,sK7),X0) ),
inference(superposition,[status(thm)],[c_12089,c_86]) ).
tcf(c_19595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK7,X0),sK7)
| ( sz00 = sK7 )
| ( sK9(sK7,sK7) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ sdtlseqdt0(X0,sK9(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_12089,c_86]) ).
tcf(c_19596,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ( sK9(sK7,sK7) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ( sdtasdt0(X0,sK9(sK7,sK7)) != sK7 ) ),
inference(superposition,[status(thm)],[c_12089,c_93]) ).
tcf(c_19597,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( sK9(sK7,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ( sdtasdt0(sK7,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19593,c_76]) ).
tcf(c_19603,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ( sK9(sK7,sK7) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ( sdtasdt0(X0,sK9(sK7,sK7)) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19596,c_76]) ).
tcf(c_19609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK7,X0),sK7)
| ( sz00 = sK7 )
| ( sK9(sK7,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ sdtlseqdt0(X0,sK9(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19595,c_76]) ).
tcf(c_19616,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(sK7,X0))
| ( sz00 = sK7 )
| ( sK9(sK7,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ sdtlseqdt0(sK9(sK7,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19594,c_76]) ).
tcf(c_19674,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK9(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ( sdtasdt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_12090,c_92]) ).
tcf(c_19675,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK9(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ sdtlseqdt0(sK9(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_12090,c_86]) ).
tcf(c_19676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( sK9(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ sdtlseqdt0(X0,sK9(xr,xr)) ),
inference(superposition,[status(thm)],[c_12090,c_86]) ).
tcf(c_19677,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK9(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ( sdtasdt0(X0,sK9(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_12090,c_93]) ).
tcf(c_19678,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK9(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ( sdtasdt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19674,c_79]) ).
tcf(c_19684,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK9(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ( sdtasdt0(X0,sK9(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19677,c_79]) ).
tcf(c_19690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( sK9(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ sdtlseqdt0(X0,sK9(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19676,c_79]) ).
tcf(c_19697,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK9(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ sdtlseqdt0(sK9(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19675,c_79]) ).
tcf(c_19724,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( X1 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X1,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_18006,c_141]) ).
tcf(c_19725,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sdtmndt0(xr,xn)),sdtmndt0(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_18006,c_146]) ).
tcf(c_19726,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_18006,c_142]) ).
tcf(c_19727,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sdtmndt0(xr,xn)),sK8(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_18006,c_112]) ).
tcf(c_19728,plain,
! [X0: $i] :
( iLess0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_18006,c_120]) ).
tcf(c_19729,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( X1 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X1,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19724,c_79]) ).
tcf(c_19739,plain,
! [X0: $i] :
( iLess0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19728,c_79]) ).
tcf(c_19748,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sdtmndt0(xr,xn)),sK8(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19727,c_79]) ).
tcf(c_19756,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19726,c_79]) ).
tcf(c_19765,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sdtmndt0(xr,xn)),sdtmndt0(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19725,c_79]) ).
tcf(c_19828,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( X1 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X1,sK8(xn,xr)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_18020,c_141]) ).
tcf(c_19829,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sK8(xn,xr)),sdtmndt0(xr,sdtpldt0(X0,sK8(xn,xr)))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_18020,c_146]) ).
tcf(c_19830,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr)))
| ~ sdtlseqdt0(xr,sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_18020,c_142]) ).
tcf(c_19831,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sK8(xn,xr)),sK8(sdtpldt0(X0,sK8(xn,xr)),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_18020,c_112]) ).
tcf(c_19832,plain,
! [X0: $i] :
( iLess0(sdtpldt0(X0,sK8(xn,xr)),xr)
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_18020,c_120]) ).
tcf(c_19833,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( X1 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X1,sK8(xn,xr)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19828,c_79]) ).
tcf(c_19843,plain,
! [X0: $i] :
( iLess0(sdtpldt0(X0,sK8(xn,xr)),xr)
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19832,c_79]) ).
tcf(c_19852,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sK8(xn,xr)),sK8(sdtpldt0(X0,sK8(xn,xr)),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19831,c_79]) ).
tcf(c_19860,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr)))
| ~ sdtlseqdt0(xr,sdtpldt0(X0,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19830,c_79]) ).
tcf(c_19869,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sK8(xn,xr)),sdtmndt0(xr,sdtpldt0(X0,sK8(xn,xr)))) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19829,c_79]) ).
tcf(c_19910,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_18053,c_141]) ).
tcf(c_19911,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_18053,c_146]) ).
tcf(c_19912,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr) ),
inference(superposition,[status(thm)],[c_18053,c_142]) ).
tcf(c_19913,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_18053,c_112]) ).
tcf(c_19914,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_18053,c_120]) ).
tcf(c_19915,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19910,c_79]) ).
tcf(c_19925,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19914,c_79]) ).
tcf(c_19934,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19913,c_79]) ).
tcf(c_19942,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19912,c_79]) ).
tcf(c_19951,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19911,c_79]) ).
tcf(c_19996,plain,
( sdtlseqdt0(sz10,xr)
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_13552,c_84]) ).
tcf(c_19997,plain,
( sdtlseqdt0(sz10,xr)
| ( sz00 = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19996,c_79,c_102]) ).
tcf(c_20052,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK8(xn,xr)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_18067,c_141]) ).
tcf(c_20053,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(X0,sK8(xn,xr)),xr)) = sdtpldt0(X0,sK8(xn,xr)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_18067,c_146]) ).
tcf(c_20054,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK8(xn,xr)),xr) ),
inference(superposition,[status(thm)],[c_18067,c_142]) ).
tcf(c_20055,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(X0,sK8(xn,xr)))) = sdtpldt0(X0,sK8(xn,xr)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_18067,c_112]) ).
tcf(c_20056,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(X0,sK8(xn,xr)))
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_18067,c_120]) ).
tcf(c_20057,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK8(xn,xr)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20052,c_79]) ).
tcf(c_20067,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(X0,sK8(xn,xr)))
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20056,c_79]) ).
tcf(c_20076,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(X0,sK8(xn,xr)))) = sdtpldt0(X0,sK8(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20055,c_79]) ).
tcf(c_20084,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK8(xn,xr)),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20054,c_79]) ).
tcf(c_20093,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(X0,sK8(xn,xr)),xr)) = sdtpldt0(X0,sK8(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20053,c_79]) ).
tcf(c_20113,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_10234,c_17017]) ).
tcf(c_20114,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(sK8(xn,xn),sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xn) )
| ~ aNaturalNumber0(sK8(xn,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_17017]) ).
tcf(c_20117,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17017,c_141]) ).
tcf(c_20118,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,X0),xr)) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17017,c_146]) ).
tcf(c_20119,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xr) ),
inference(superposition,[status(thm)],[c_17017,c_142]) ).
tcf(c_20120,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17017,c_112]) ).
tcf(c_20121,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17017,c_120]) ).
tcf(c_20122,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X1))
| sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_17017,c_141]) ).
tcf(c_20123,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(X0,sdtmndt0(sdtmndt0(xr,xn),X0)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_17017,c_146]) ).
tcf(c_20125,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(X0,sK8(X0,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_17017,c_112]) ).
tcf(c_20126,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| iLess0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_17017,c_120]) ).
tcf(c_20128,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK8(xn,xr)))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_17017,c_16287]) ).
tcf(c_20130,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20113,c_98]) ).
tcf(c_20174,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20121,c_79]) ).
tcf(c_20183,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20120,c_79]) ).
tcf(c_20191,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20119,c_79]) ).
tcf(c_20200,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,X0),xr)) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20118,c_79]) ).
tcf(c_20208,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20117,c_79]) ).
tcf(c_20239,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_10234,c_17077]) ).
tcf(c_20240,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(sK8(xn,xn),sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_17077]) ).
tcf(c_20243,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK8(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17077,c_141]) ).
tcf(c_20244,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,X0),xr)) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17077,c_146]) ).
tcf(c_20245,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xr) ),
inference(superposition,[status(thm)],[c_17077,c_142]) ).
tcf(c_20246,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17077,c_112]) ).
tcf(c_20247,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17077,c_120]) ).
tcf(c_20248,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X1))
| sdtlseqdt0(X0,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_17077,c_141]) ).
tcf(c_20249,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(X0,sdtmndt0(sK8(xn,xr),X0)) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_17077,c_146]) ).
tcf(c_20251,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(X0,sK8(X0,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_17077,c_112]) ).
tcf(c_20252,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| iLess0(X0,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_17077,c_120]) ).
tcf(c_20256,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20239,c_98]) ).
tcf(c_20294,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20247,c_79]) ).
tcf(c_20303,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20246,c_79]) ).
tcf(c_20311,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20245,c_79]) ).
tcf(c_20320,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,X0),xr)) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20244,c_79]) ).
tcf(c_20328,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK8(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20243,c_79]) ).
tcf(c_20385,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtpldt0(xn,sz00))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_10234,c_17132]) ).
tcf(c_20386,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtpldt0(xn,sK8(xn,xn)))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xn) )
| ~ aNaturalNumber0(sK8(xn,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_17132]) ).
tcf(c_20389,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xr,sdtpldt0(xn,X1))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(superposition,[status(thm)],[c_17132,c_141]) ).
tcf(c_20390,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17132,c_146]) ).
tcf(c_20392,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17132,c_112]) ).
tcf(c_20393,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17132,c_120]) ).
tcf(c_20394,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_20385,c_10234]) ).
tcf(c_20397,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20393,c_79]) ).
tcf(c_20406,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20392,c_79]) ).
tcf(c_20414,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20390,c_79]) ).
tcf(c_20422,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xr,sdtpldt0(xn,X1))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20389,c_79]) ).
tcf(c_20527,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtpldt0(xn,sz00))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_10234,c_17334]) ).
tcf(c_20528,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtpldt0(xn,sK8(xn,xn)))
| ( xn = xr )
| ( sK8(xn,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_17334]) ).
tcf(c_20531,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xr,sdtpldt0(xn,X1))
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(superposition,[status(thm)],[c_17334,c_141]) ).
tcf(c_20532,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17334,c_146]) ).
tcf(c_20534,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17334,c_112]) ).
tcf(c_20535,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17334,c_120]) ).
tcf(c_20536,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(light_normalisation,[status(thm)],[c_20527,c_10234]) ).
tcf(c_20539,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20535,c_79]) ).
tcf(c_20548,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20534,c_79]) ).
tcf(c_20556,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20532,c_79]) ).
tcf(c_20564,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xr,sdtpldt0(xn,X1))
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20531,c_79]) ).
tcf(c_20587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,sK7)),sK7)
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK7)) ),
inference(superposition,[status(thm)],[c_11866,c_109]) ).
tcf(c_20588,plain,
! [X0: $i] :
( doDivides0(X0,sK7)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ~ doDivides0(X0,sK8(sz10,sK7)) ),
inference(superposition,[status(thm)],[c_11866,c_105]) ).
tcf(c_20589,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,sK7))
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK7)) ),
inference(superposition,[status(thm)],[c_11866,c_104]) ).
tcf(c_20590,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sz10,X0))
| ( sz00 = sK7 )
| ( sK8(sz10,sK7) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ~ sdtlseqdt0(sK8(sz10,sK7),X0) ),
inference(superposition,[status(thm)],[c_11866,c_107]) ).
tcf(c_20591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sK7)
| ( sz00 = sK7 )
| ( sK8(sz10,sK7) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ~ sdtlseqdt0(X0,sK8(sz10,sK7)) ),
inference(superposition,[status(thm)],[c_11866,c_107]) ).
tcf(c_20592,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ( sdtpldt0(X0,sK8(sz10,sK7)) != sK7 ) ),
inference(superposition,[status(thm)],[c_11866,c_114]) ).
tcf(c_20593,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sK8(sz10,sK7)))
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sK7)) ),
inference(superposition,[status(thm)],[c_11866,c_109]) ).
tcf(c_20594,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( sK8(sz10,sK7) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ( sdtpldt0(sz10,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_11866,c_113]) ).
tcf(c_20595,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( sK8(sz10,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ( sdtpldt0(sz10,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20594,c_102]) ).
tcf(c_20601,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ( sdtpldt0(X0,sK8(sz10,sK7)) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20592,c_102]) ).
tcf(c_20607,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,sK7))
| ( sz00 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20589,c_102]) ).
tcf(c_20614,plain,
! [X0: $i] :
( doDivides0(X0,sK7)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ~ doDivides0(X0,sK8(sz10,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20588,c_102]) ).
tcf(c_20621,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sK8(sz10,sK7)))
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20593,c_102]) ).
tcf(c_20628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,sK7)),sK7)
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20587,c_102]) ).
tcf(c_20635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sK7)
| ( sz00 = sK7 )
| ( sK8(sz10,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ~ sdtlseqdt0(X0,sK8(sz10,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20591,c_102]) ).
tcf(c_20642,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sz10,X0))
| ( sz00 = sK7 )
| ( sK8(sz10,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ~ sdtlseqdt0(sK8(sz10,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20590,c_102]) ).
tcf(c_20720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_74,c_88]) ).
tcf(c_20722,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_10227,c_88]) ).
tcf(c_20730,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_10219,c_88]) ).
tcf(c_20731,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_10220,c_88]) ).
tcf(c_20732,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_10221,c_88]) ).
tcf(c_20733,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK6))
| ( sz00 = sK6 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10223,c_88]) ).
tcf(c_20734,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK7))
| ( sz00 = sK7 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_10224,c_88]) ).
tcf(c_20735,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_10225,c_88]) ).
tcf(c_20736,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_10266,c_88]) ).
tcf(c_20737,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_10267,c_88]) ).
tcf(c_20738,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_10268,c_88]) ).
tcf(c_20739,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0) ),
inference(superposition,[status(thm)],[c_10270,c_88]) ).
tcf(c_20740,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0) ),
inference(superposition,[status(thm)],[c_10271,c_88]) ).
tcf(c_20741,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_10272,c_88]) ).
tcf(c_20742,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_10274,c_88]) ).
tcf(c_20743,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_10282,c_88]) ).
tcf(c_20744,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_10283,c_88]) ).
tcf(c_20745,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_10284,c_88]) ).
tcf(c_20746,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(X0,sK6))
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_10286,c_88]) ).
tcf(c_20747,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(X0,sK7))
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_10287,c_88]) ).
tcf(c_20748,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_10288,c_88]) ).
tcf(c_20749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(X0,sdtasdt0(xp,sK6)))
| ( X0 = sz10 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10454,c_88]) ).
tcf(c_20750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),X0) ),
inference(superposition,[status(thm)],[c_10455,c_88]) ).
tcf(c_20751,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,sK6)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10458,c_88]) ).
tcf(c_20753,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK9(xr,xr)))
| ( X0 = xr )
| ( sK9(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK9(xr,xr)) ),
inference(superposition,[status(thm)],[c_12090,c_88]) ).
tcf(c_20754,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(X0,sK9(sK7,sK7)))
| ( X0 = sK7 )
| ( sK9(sK7,sK7) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0)
| ~ aNaturalNumber0(sK9(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_12089,c_88]) ).
tcf(c_20755,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sK9(sz10,sz10)))
| ( X0 = sz10 )
| ( sK9(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_12088,c_88]) ).
tcf(c_20756,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_74,c_88]) ).
tcf(c_20758,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_10227,c_88]) ).
tcf(c_20766,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_10219,c_88]) ).
tcf(c_20767,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_10220,c_88]) ).
tcf(c_20768,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_10221,c_88]) ).
tcf(c_20769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK6),sz00)
| ( sz00 = sK6 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10223,c_88]) ).
tcf(c_20770,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7),sz00)
| ( sz00 = sK7 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_10224,c_88]) ).
tcf(c_20771,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_10225,c_88]) ).
tcf(c_20772,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_10266,c_88]) ).
tcf(c_20773,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_10267,c_88]) ).
tcf(c_20774,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_10268,c_88]) ).
tcf(c_20775,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK6)
| ( sz00 = sz10 )
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6) ),
inference(superposition,[status(thm)],[c_10270,c_88]) ).
tcf(c_20776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK7)
| ( sz00 = sz10 )
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7) ),
inference(superposition,[status(thm)],[c_10271,c_88]) ).
tcf(c_20777,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_10272,c_88]) ).
tcf(c_20778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_10274,c_88]) ).
tcf(c_20779,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_10282,c_88]) ).
tcf(c_20780,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_10283,c_88]) ).
tcf(c_20781,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_10284,c_88]) ).
tcf(c_20782,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK6),sK6)
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_10286,c_88]) ).
tcf(c_20783,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7),sK7)
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_10287,c_88]) ).
tcf(c_20784,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_10288,c_88]) ).
tcf(c_20785,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,sK6)),sdtasdt0(xp,sK6))
| ( X0 = sz10 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10454,c_88]) ).
tcf(c_20786,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xp,sK6))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10455,c_88]) ).
tcf(c_20787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,sK6)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_10458,c_88]) ).
tcf(c_20789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xr,xr)),xr)
| ( X0 = xr )
| ( sK9(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK9(xr,xr)) ),
inference(superposition,[status(thm)],[c_12090,c_88]) ).
tcf(c_20790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sK7,sK7)),sK7)
| ( X0 = sK7 )
| ( sK9(sK7,sK7) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(sK9(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_12089,c_88]) ).
tcf(c_20791,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sK9(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_12088,c_88]) ).
tcf(c_20792,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_88,c_141]) ).
tcf(c_20793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sdtmndt0(sdtasdt0(X2,X1),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_88,c_146]) ).
tcf(c_20794,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_88,c_142]) ).
tcf(c_20795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK8(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_88,c_112]) ).
tcf(c_20796,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_88,c_120]) ).
tcf(c_20797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20778,c_103,c_102]) ).
tcf(c_20802,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20742,c_103,c_102]) ).
tcf(c_20807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),xr)
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20784,c_79,c_102]) ).
tcf(c_20813,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7),sK7)
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20783,c_76,c_102]) ).
tcf(c_20819,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK6),sK6)
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20782,c_73,c_102]) ).
tcf(c_20825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20781,c_68,c_102,c_51]) ).
tcf(c_20830,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20780,c_102,c_50]) ).
tcf(c_20836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20779,c_11487,c_102,c_49]) ).
tcf(c_20841,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20777,c_103,c_79,c_102]) ).
tcf(c_20846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK7)
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20776,c_103,c_76,c_102]) ).
tcf(c_20851,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sK6)
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20775,c_103,c_73,c_102]) ).
tcf(c_20856,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20774,c_103,c_102,c_51]) ).
tcf(c_20861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20773,c_103,c_102,c_50]) ).
tcf(c_20866,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20772,c_103,c_102,c_49]) ).
tcf(c_20871,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20771,c_79,c_98]) ).
tcf(c_20877,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK7),sz00)
| ( sz00 = sK7 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20770,c_76,c_98]) ).
tcf(c_20883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK6),sz00)
| ( sz00 = sK6 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20769,c_73,c_98]) ).
tcf(c_20889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20768,c_68,c_98,c_51]) ).
tcf(c_20894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20767,c_98,c_50]) ).
tcf(c_20900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20766,c_11487,c_98,c_49]) ).
tcf(c_20905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20758,c_103,c_102,c_98]) ).
tcf(c_20910,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20748,c_79,c_102]) ).
tcf(c_20916,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(X0,sK7))
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20747,c_76,c_102]) ).
tcf(c_20922,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(X0,sK6))
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20746,c_73,c_102]) ).
tcf(c_20928,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20745,c_68,c_102,c_51]) ).
tcf(c_20933,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20744,c_102,c_50]) ).
tcf(c_20939,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20743,c_11487,c_102,c_49]) ).
tcf(c_20944,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sz10))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20741,c_103,c_79,c_102]) ).
tcf(c_20949,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(X0,sz10))
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20740,c_103,c_76,c_102]) ).
tcf(c_20954,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(X0,sz10))
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20739,c_103,c_73,c_102]) ).
tcf(c_20959,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sz10))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20738,c_103,c_102,c_51]) ).
tcf(c_20964,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sz10))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20737,c_103,c_102,c_50]) ).
tcf(c_20969,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sz10))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20736,c_103,c_102,c_49]) ).
tcf(c_20974,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20735,c_79,c_98]) ).
tcf(c_20980,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK7))
| ( sz00 = sK7 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20734,c_76,c_98]) ).
tcf(c_20986,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK6))
| ( sz00 = sK6 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20733,c_73,c_98]) ).
tcf(c_20992,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20732,c_68,c_98,c_51]) ).
tcf(c_20997,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20731,c_98,c_50]) ).
tcf(c_21003,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20730,c_11487,c_98,c_49]) ).
tcf(c_21008,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20722,c_103,c_102,c_98]) ).
tcf(c_21013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20756,c_50,c_49]) ).
tcf(c_21019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20720,c_50,c_49]) ).
tcf(c_21025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sK9(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20791,c_102]) ).
tcf(c_21032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sK7,sK7)),sK7)
| ( X0 = sK7 )
| ( sK9(sK7,sK7) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(sK9(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20790,c_76]) ).
tcf(c_21039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xr,xr)),xr)
| ( X0 = xr )
| ( sK9(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK9(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20789,c_79]) ).
tcf(c_21046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,sK6)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20787,c_98,c_10386]) ).
tcf(c_21052,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sK9(sz10,sz10)))
| ( X0 = sz10 )
| ( sK9(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20755,c_102]) ).
tcf(c_21059,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(X0,sK9(sK7,sK7)))
| ( X0 = sK7 )
| ( sK9(sK7,sK7) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0)
| ~ aNaturalNumber0(sK9(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20754,c_76]) ).
tcf(c_21066,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK9(xr,xr)))
| ( X0 = xr )
| ( sK9(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK9(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20753,c_79]) ).
tcf(c_21073,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,sK6)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20751,c_98,c_10386]) ).
tcf(c_21079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20786,c_103,c_102,c_10386]) ).
tcf(c_21084,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,sK6)),sdtasdt0(xp,sK6))
| ( X0 = sz10 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20785,c_102,c_10386]) ).
tcf(c_21090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(X0,sz10))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20750,c_103,c_102,c_10386]) ).
tcf(c_21095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(X0,sdtasdt0(xp,sK6)))
| ( X0 = sz10 )
| ( sdtasdt0(xp,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20749,c_102,c_10386]) ).
tcf(c_21251,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_21305,plain,
! [X0: $i] :
( ( xn = X0 )
| ( xn != xr )
| ( X0 != xr ) ),
inference(instantiation,[status(thm)],[c_11948]) ).
tcf(c_21306,plain,
( ( xn = sz00 )
| ( sz00 != xr )
| ( xn != xr ) ),
inference(instantiation,[status(thm)],[c_21305]) ).
tcf(c_21338,plain,
sdtlseqdt0(sz10,xr),
inference(global_subsumption_just,[status(thm)],[c_19997,c_11215,c_11487,c_12927,c_21306]) ).
tcf(c_21512,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_80,c_90]) ).
tcf(c_21529,plain,
xn != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_21512,c_68,c_79,c_51]) ).
tcf(c_21626,plain,
! [X0: $i] :
( ( sdtpldt0(xr,sz00) = X0 )
| ( X0 != xr )
| ( sdtpldt0(xr,sz00) != xr ) ),
inference(instantiation,[status(thm)],[c_11403]) ).
tcf(c_21627,plain,
( ( sdtpldt0(xr,sz00) = sz00 )
| ( sz00 != xr )
| ( sdtpldt0(xr,sz00) != xr ) ),
inference(instantiation,[status(thm)],[c_21626]) ).
tcf(c_21649,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK7,X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sK7))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_77,c_67]) ).
tcf(c_21650,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(xr,X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xr))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_80,c_67]) ).
tcf(c_21651,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_10241,c_67]) ).
tcf(c_21652,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_10240,c_67]) ).
tcf(c_21653,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11845,c_67]) ).
tcf(c_21654,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_10242,c_67]) ).
tcf(c_21655,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK7,sz00))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10239,c_67]) ).
tcf(c_21656,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK6,sz00))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10238,c_67]) ).
tcf(c_21657,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_10236,c_67]) ).
tcf(c_21658,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_10235,c_67]) ).
tcf(c_21659,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_10234,c_67]) ).
tcf(c_21660,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_10250,c_67]) ).
tcf(c_21661,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_10251,c_67]) ).
tcf(c_21662,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_10252,c_67]) ).
tcf(c_21663,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK6,X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK6))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10254,c_67]) ).
tcf(c_21664,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK7,X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK7))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10255,c_67]) ).
tcf(c_21665,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_10256,c_67]) ).
tcf(c_21666,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_10258,c_67]) ).
tcf(c_21667,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10456,c_67]) ).
tcf(c_21668,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sz00))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10457,c_67]) ).
tcf(c_21669,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK8(xp,xn),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11857,c_67]) ).
tcf(c_21670,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK8(xn,xn),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11844,c_67]) ).
tcf(c_21671,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK8(xm,xm),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK8(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11843,c_67]) ).
tcf(c_21672,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK8(xp,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11842,c_67]) ).
tcf(c_21673,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sK8(sK6,sK6),X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ~ doDivides0(X0,sdtasdt0(sK6,sK8(sK6,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11841,c_67]) ).
tcf(c_21674,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sK8(sK7,sK7),X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ~ doDivides0(X0,sdtasdt0(sK7,sK8(sK7,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11840,c_67]) ).
tcf(c_21675,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK8(xr,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK8(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11839,c_67]) ).
tcf(c_21676,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,xp),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11856,c_67]) ).
tcf(c_21677,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11838,c_67]) ).
tcf(c_21678,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK8(xn,xr),X0)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11878,c_67]) ).
tcf(c_21679,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,xn),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11855,c_67]) ).
tcf(c_21680,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11854,c_67]) ).
tcf(c_21681,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11853,c_67]) ).
tcf(c_21682,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,sK6),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11852,c_67]) ).
tcf(c_21683,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,sK7),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11851,c_67]) ).
tcf(c_21684,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11850,c_67]) ).
tcf(c_21685,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,sz10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11849,c_67]) ).
tcf(c_21686,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,xn),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11848,c_67]) ).
tcf(c_21687,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,xr),X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_13006,c_67]) ).
tcf(c_21688,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,sK7),X0)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11866,c_67]) ).
tcf(c_21689,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(xr,xn)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12405,c_67]) ).
tcf(c_21690,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(xr,sz10),X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xr,sz10)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_13013,c_67]) ).
tcf(c_21691,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sdtmndt0(xr,xp),X0)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xr,xp)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_13041,c_67]) ).
tcf(c_21692,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK8(xp,xr),X0)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_13034,c_67]) ).
tcf(c_21701,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_21659,c_10203]) ).
tcf(c_21702,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_21701,c_98,c_49]) ).
tcf(c_21709,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_21658,c_10204]) ).
tcf(c_21710,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_21709,c_98,c_50]) ).
tcf(c_21717,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_21657,c_10205]) ).
tcf(c_21718,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_21717,c_98,c_51]) ).
tcf(c_21725,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_21656,c_10207]) ).
tcf(c_21726,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21725,c_73,c_98]) ).
tcf(c_21733,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_21655,c_10208]) ).
tcf(c_21734,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21733,c_76,c_98]) ).
tcf(c_21741,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_21654,c_10211]) ).
tcf(c_21742,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_21741,c_102,c_98]) ).
tcf(c_21749,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_21652,c_10209]) ).
tcf(c_21750,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_21749,c_79,c_98]) ).
tcf(c_21757,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(xr,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xr))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21650,c_79,c_51]) ).
tcf(c_21764,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK7,X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sK7))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21649,c_76,c_51]) ).
tcf(c_21771,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21686,c_102]) ).
tcf(c_21779,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21685,c_98]) ).
tcf(c_21787,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21684,c_98]) ).
tcf(c_21795,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,sK7),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21683,c_98]) ).
tcf(c_21803,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,sK6),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21682,c_98]) ).
tcf(c_21811,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21681,c_98]) ).
tcf(c_21819,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21680,c_98]) ).
tcf(c_21827,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21679,c_98]) ).
tcf(c_21835,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21677,c_102]) ).
tcf(c_21843,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21676,c_102]) ).
tcf(c_21851,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK8(xr,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK8(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21675,c_79]) ).
tcf(c_21859,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sK8(sK7,sK7),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ~ doDivides0(X0,sdtasdt0(sK7,sK8(sK7,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21674,c_76]) ).
tcf(c_21867,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sK8(sK6,sK6),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ~ doDivides0(X0,sdtasdt0(sK6,sK8(sK6,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21673,c_73]) ).
tcf(c_21875,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK8(xp,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21672,c_51]) ).
tcf(c_21883,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK8(xm,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK8(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21671,c_50]) ).
tcf(c_21891,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK8(xn,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21670,c_49]) ).
tcf(c_21899,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK8(xp,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21669,c_51]) ).
tcf(c_21907,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21653,c_98]) ).
tcf(c_21915,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_21668,c_10459]) ).
tcf(c_21916,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21915,c_98,c_10386]) ).
tcf(c_21924,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK8(xp,xr),X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21692,c_51]) ).
tcf(c_21933,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sdtmndt0(xr,xp),X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xr,xp)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21691,c_51]) ).
tcf(c_21942,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(xr,sz10),X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xr,sz10)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21690,c_102]) ).
tcf(c_21951,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(xr,xn)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21689,c_49]) ).
tcf(c_21960,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,sK7),X0)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21688,c_102]) ).
tcf(c_21969,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,xr),X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21687,c_102]) ).
tcf(c_21978,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK8(xn,xr),X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21678,c_49]) ).
tcf(c_22193,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK7,X0)
| aNaturalNumber0(sK5(xp,X0))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sK7))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_77,c_63]) ).
tcf(c_22194,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK5(xp,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xr))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_80,c_63]) ).
tcf(c_22195,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_10241,c_63]) ).
tcf(c_22196,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_10240,c_63]) ).
tcf(c_22197,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11845,c_63]) ).
tcf(c_22198,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_10242,c_63]) ).
tcf(c_22199,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sK7,X0))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK7,sz00))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10239,c_63]) ).
tcf(c_22200,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sK6,X0))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK6,sz00))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10238,c_63]) ).
tcf(c_22201,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_10236,c_63]) ).
tcf(c_22202,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_10235,c_63]) ).
tcf(c_22203,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_10234,c_63]) ).
tcf(c_22204,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK5(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_10250,c_63]) ).
tcf(c_22205,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK5(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_10251,c_63]) ).
tcf(c_22206,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK5(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_10252,c_63]) ).
tcf(c_22207,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK6,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK6))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10254,c_63]) ).
tcf(c_22208,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK7,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK7))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10255,c_63]) ).
tcf(c_22209,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK5(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_10256,c_63]) ).
tcf(c_22210,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_10258,c_63]) ).
tcf(c_22211,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10456,c_63]) ).
tcf(c_22212,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sdtasdt0(xp,sK6),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sz00))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10457,c_63]) ).
tcf(c_22213,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sK8(xp,xn),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11857,c_63]) ).
tcf(c_22214,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sK8(xn,xn),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11844,c_63]) ).
tcf(c_22215,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xm,X0))
| sP1(sK8(xm,xm),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK8(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11843,c_63]) ).
tcf(c_22216,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sK8(xp,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11842,c_63]) ).
tcf(c_22217,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK6,X0))
| sP1(sK8(sK6,sK6),X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ~ doDivides0(X0,sdtasdt0(sK6,sK8(sK6,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11841,c_63]) ).
tcf(c_22218,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK7,X0))
| sP1(sK8(sK7,sK7),X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ~ doDivides0(X0,sdtasdt0(sK7,sK8(sK7,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11840,c_63]) ).
tcf(c_22219,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xr,X0))
| sP1(sK8(xr,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK8(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11839,c_63]) ).
tcf(c_22220,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,xp),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11856,c_63]) ).
tcf(c_22221,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11838,c_63]) ).
tcf(c_22222,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sK8(xn,xr),X0)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11878,c_63]) ).
tcf(c_22223,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,xn),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11855,c_63]) ).
tcf(c_22224,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,xm),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11854,c_63]) ).
tcf(c_22225,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11853,c_63]) ).
tcf(c_22226,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,sK6),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11852,c_63]) ).
tcf(c_22227,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,sK7),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11851,c_63]) ).
tcf(c_22228,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11850,c_63]) ).
tcf(c_22229,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,sz10),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11849,c_63]) ).
tcf(c_22230,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,xn),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11848,c_63]) ).
tcf(c_22231,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,xr),X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_13006,c_63]) ).
tcf(c_22232,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,sK7),X0)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11866,c_63]) ).
tcf(c_22233,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(xr,xn)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12405,c_63]) ).
tcf(c_22234,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(xr,sz10),X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xr,sz10)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_13013,c_63]) ).
tcf(c_22235,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sdtmndt0(xr,xp),X0)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xr,xp)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_13041,c_63]) ).
tcf(c_22236,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sK8(xp,xr),X0)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_13034,c_63]) ).
tcf(c_22237,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_22195,c_10210]) ).
tcf(c_22238,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22237,c_98]) ).
tcf(c_22245,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_22210,c_10227]) ).
tcf(c_22246,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22245,c_102,c_98]) ).
tcf(c_22253,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK5(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_22209,c_10225]) ).
tcf(c_22254,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22253,c_79,c_98]) ).
tcf(c_22261,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK7,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_22208,c_10224]) ).
tcf(c_22262,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK7,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22261,c_76,c_98]) ).
tcf(c_22269,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK6,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_22207,c_10223]) ).
tcf(c_22270,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK6,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22269,c_73,c_98]) ).
tcf(c_22277,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK5(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_22206,c_10221]) ).
tcf(c_22278,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22277,c_98,c_51]) ).
tcf(c_22285,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK5(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_22205,c_10220]) ).
tcf(c_22286,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22285,c_98,c_50]) ).
tcf(c_22293,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK5(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_22204,c_10219]) ).
tcf(c_22294,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22293,c_98,c_49]) ).
tcf(c_22301,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_22203,c_10203]) ).
tcf(c_22302,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(xn,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22301,c_98,c_49]) ).
tcf(c_22309,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_22202,c_10204]) ).
tcf(c_22310,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22309,c_98,c_50]) ).
tcf(c_22317,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_22201,c_10205]) ).
tcf(c_22318,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22317,c_98,c_51]) ).
tcf(c_22325,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sK6,X0))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_22200,c_10207]) ).
tcf(c_22326,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sK6,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22325,c_73,c_98]) ).
tcf(c_22333,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sK7,X0))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_22199,c_10208]) ).
tcf(c_22334,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sK7,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22333,c_76,c_98]) ).
tcf(c_22341,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_22198,c_10211]) ).
tcf(c_22342,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sz10,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22341,c_102,c_98]) ).
tcf(c_22349,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_22196,c_10209]) ).
tcf(c_22350,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(xr,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22349,c_79,c_98]) ).
tcf(c_22357,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK5(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xr))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22194,c_79,c_51]) ).
tcf(c_22364,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK7,X0)
| aNaturalNumber0(sK5(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sK7))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22193,c_76,c_51]) ).
tcf(c_22371,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22230,c_102]) ).
tcf(c_22379,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22229,c_98]) ).
tcf(c_22387,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22228,c_98]) ).
tcf(c_22395,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,sK7),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22227,c_98]) ).
tcf(c_22403,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,sK6),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22226,c_98]) ).
tcf(c_22411,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22225,c_98]) ).
tcf(c_22419,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22224,c_98]) ).
tcf(c_22427,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22223,c_98]) ).
tcf(c_22435,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22221,c_102]) ).
tcf(c_22443,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22220,c_102]) ).
tcf(c_22451,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xr,X0))
| sP1(sK8(xr,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK8(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22219,c_79]) ).
tcf(c_22459,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK7,X0))
| sP1(sK8(sK7,sK7),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ~ doDivides0(X0,sdtasdt0(sK7,sK8(sK7,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22218,c_76]) ).
tcf(c_22467,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK6,X0))
| sP1(sK8(sK6,sK6),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ~ doDivides0(X0,sdtasdt0(sK6,sK8(sK6,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22217,c_73]) ).
tcf(c_22475,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sK8(xp,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22216,c_51]) ).
tcf(c_22483,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xm,X0))
| sP1(sK8(xm,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK8(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22215,c_50]) ).
tcf(c_22491,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sK8(xn,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22214,c_49]) ).
tcf(c_22499,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sK8(xp,xn),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22213,c_51]) ).
tcf(c_22507,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22197,c_98]) ).
tcf(c_22515,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sdtasdt0(xp,sK6),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_22212,c_10459]) ).
tcf(c_22516,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sdtasdt0(xp,sK6),X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22515,c_98,c_10386]) ).
tcf(c_22523,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_22211,c_10458]) ).
tcf(c_22524,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22523,c_98,c_10386]) ).
tcf(c_22531,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sK8(xp,xr),X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22236,c_51]) ).
tcf(c_22540,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sdtmndt0(xr,xp),X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xr,xp)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22235,c_51]) ).
tcf(c_22549,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(xr,sz10),X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xr,sz10)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22234,c_102]) ).
tcf(c_22558,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(xr,xn)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22233,c_49]) ).
tcf(c_22567,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,sK7),X0)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22232,c_102]) ).
tcf(c_22576,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,xr),X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22231,c_102]) ).
tcf(c_22585,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sK8(xn,xr),X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22222,c_49]) ).
tcf(c_22685,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK7,X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sK7))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_77,c_65]) ).
tcf(c_22686,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xr))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_80,c_65]) ).
tcf(c_22687,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_10241,c_65]) ).
tcf(c_22688,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_10240,c_65]) ).
tcf(c_22689,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11845,c_65]) ).
tcf(c_22690,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_10242,c_65]) ).
tcf(c_22691,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK7,sz00))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10239,c_65]) ).
tcf(c_22692,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sK6,sz00))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10238,c_65]) ).
tcf(c_22693,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_10236,c_65]) ).
tcf(c_22694,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_10235,c_65]) ).
tcf(c_22695,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_10234,c_65]) ).
tcf(c_22696,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK5(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_10250,c_65]) ).
tcf(c_22697,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK5(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_10251,c_65]) ).
tcf(c_22698,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK5(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_10252,c_65]) ).
tcf(c_22699,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK6,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK6))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10254,c_65]) ).
tcf(c_22700,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK7,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sK7))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10255,c_65]) ).
tcf(c_22701,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK5(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_10256,c_65]) ).
tcf(c_22702,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_10258,c_65]) ).
tcf(c_22703,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtasdt0(xp,sK6),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10456,c_65]) ).
tcf(c_22704,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sdtasdt0(xp,sK6),X0)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sz00))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_10457,c_65]) ).
tcf(c_22705,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xp,xn),X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11857,c_65]) ).
tcf(c_22706,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xn,xn),X0)
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11844,c_65]) ).
tcf(c_22707,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xm,xm),X0)
| ( sdtasdt0(X0,sK5(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK8(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11843,c_65]) ).
tcf(c_22708,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xp,xp),X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11842,c_65]) ).
tcf(c_22709,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sK6,sK6),X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ~ doDivides0(X0,sdtasdt0(sK6,sK8(sK6,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11841,c_65]) ).
tcf(c_22710,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sK7,sK7),X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ~ doDivides0(X0,sdtasdt0(sK7,sK8(sK7,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11840,c_65]) ).
tcf(c_22711,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xr,xr),X0)
| ( sdtasdt0(X0,sK5(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK8(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11839,c_65]) ).
tcf(c_22712,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,xp),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11856,c_65]) ).
tcf(c_22713,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,sz10),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11838,c_65]) ).
tcf(c_22714,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xn,xr),X0)
| ( xn = xr )
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11878,c_65]) ).
tcf(c_22715,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,xn),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11855,c_65]) ).
tcf(c_22716,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,xm),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11854,c_65]) ).
tcf(c_22717,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,xp),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11853,c_65]) ).
tcf(c_22718,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,sK6),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11852,c_65]) ).
tcf(c_22719,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,sK7),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11851,c_65]) ).
tcf(c_22720,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,xr),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11850,c_65]) ).
tcf(c_22721,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,sz10),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11849,c_65]) ).
tcf(c_22722,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,xn),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11848,c_65]) ).
tcf(c_22723,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,xr),X0)
| ( xn = xr )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_13006,c_65]) ).
tcf(c_22724,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,sK7),X0)
| ( sz00 = sK7 )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11866,c_65]) ).
tcf(c_22725,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(xr,xn)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12405,c_65]) ).
tcf(c_22726,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xr,sz10),X0)
| ( xn = xr )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xr,sz10)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_13013,c_65]) ).
tcf(c_22727,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xr,xp),X0)
| ( xn = xr )
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xr,xp)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_13041,c_65]) ).
tcf(c_22728,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xp,xr),X0)
| ( xn = xr )
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_13034,c_65]) ).
tcf(c_22729,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_22687,c_10210]) ).
tcf(c_22730,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22729,c_98]) ).
tcf(c_22737,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_22702,c_10227]) ).
tcf(c_22738,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22737,c_102,c_98]) ).
tcf(c_22745,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK5(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_22701,c_10225]) ).
tcf(c_22746,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22745,c_79,c_98]) ).
tcf(c_22753,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK7,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_22700,c_10224]) ).
tcf(c_22754,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK7,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22753,c_76,c_98]) ).
tcf(c_22761,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK6,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_22699,c_10223]) ).
tcf(c_22762,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK6,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22761,c_73,c_98]) ).
tcf(c_22769,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK5(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_22698,c_10221]) ).
tcf(c_22770,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22769,c_98,c_51]) ).
tcf(c_22777,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK5(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_22697,c_10220]) ).
tcf(c_22778,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22777,c_98,c_50]) ).
tcf(c_22785,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK5(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_22696,c_10219]) ).
tcf(c_22786,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22785,c_98,c_49]) ).
tcf(c_22793,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_22695,c_10203]) ).
tcf(c_22794,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22793,c_98,c_49]) ).
tcf(c_22801,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_22694,c_10204]) ).
tcf(c_22802,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(xm,X0)) = xm )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22801,c_98,c_50]) ).
tcf(c_22809,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_22693,c_10205]) ).
tcf(c_22810,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22809,c_98,c_51]) ).
tcf(c_22817,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_22692,c_10207]) ).
tcf(c_22818,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22817,c_73,c_98]) ).
tcf(c_22825,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_22691,c_10208]) ).
tcf(c_22826,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22825,c_76,c_98]) ).
tcf(c_22833,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_22690,c_10211]) ).
tcf(c_22834,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22833,c_102,c_98]) ).
tcf(c_22841,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_22688,c_10209]) ).
tcf(c_22842,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(xr,X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22841,c_79,c_98]) ).
tcf(c_22849,plain,
! [X0: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xr))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22686,c_79,c_51]) ).
tcf(c_22856,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK7,X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sK7))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22685,c_76,c_51]) ).
tcf(c_22863,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,xn),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22722,c_102]) ).
tcf(c_22871,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,sz10),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22721,c_98]) ).
tcf(c_22879,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,xr),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22720,c_98]) ).
tcf(c_22887,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,sK7),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK7))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22719,c_98]) ).
tcf(c_22895,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,sK6),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sK6))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22718,c_98]) ).
tcf(c_22903,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,xp),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22717,c_98]) ).
tcf(c_22911,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,xm),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22716,c_98]) ).
tcf(c_22919,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,xn),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22715,c_98]) ).
tcf(c_22927,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,sz10),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22713,c_102]) ).
tcf(c_22935,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,xp),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22712,c_102]) ).
tcf(c_22943,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xr,xr),X0)
| ( sdtasdt0(X0,sK5(xr,X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK8(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22711,c_79]) ).
tcf(c_22951,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sK7,sK7),X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK7,sK7))
| ~ doDivides0(X0,sdtasdt0(sK7,sK8(sK7,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22710,c_76]) ).
tcf(c_22959,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sK6,sK6),X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sK6,sK6))
| ~ doDivides0(X0,sdtasdt0(sK6,sK8(sK6,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22709,c_73]) ).
tcf(c_22967,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xp,xp),X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22708,c_51]) ).
tcf(c_22975,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xm,xm),X0)
| ( sdtasdt0(X0,sK5(xm,X0)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK8(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22707,c_50]) ).
tcf(c_22983,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xn,xn),X0)
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22706,c_49]) ).
tcf(c_22991,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xp,xn),X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xn))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22705,c_51]) ).
tcf(c_22999,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22689,c_98]) ).
tcf(c_23007,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtasdt0(xp,sK6),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_22703,c_10458]) ).
tcf(c_23008,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtasdt0(xp,sK6),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23007,c_98,c_10386]) ).
tcf(c_23015,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xp,xr),X0)
| ( xn = xr )
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xp,xr))
| ~ doDivides0(X0,sdtasdt0(xp,sK8(xp,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22728,c_51]) ).
tcf(c_23024,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xr,xp),X0)
| ( xn = xr )
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xr,xp)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22727,c_51]) ).
tcf(c_23033,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xr,sz10),X0)
| ( xn = xr )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xr,sz10)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22726,c_102]) ).
tcf(c_23042,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(xr,xn)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22725,c_49]) ).
tcf(c_23051,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,sK7),X0)
| ( sz00 = sK7 )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK7))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22724,c_102]) ).
tcf(c_23060,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,xr),X0)
| ( xn = xr )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22723,c_102]) ).
tcf(c_23069,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xn,xr),X0)
| ( xn = xr )
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22714,c_49]) ).
tcf(c_23078,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sdtasdt0(xp,sK6),X0)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_22704,c_10459]) ).
tcf(c_23079,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sdtasdt0(xp,sK6),X0)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23078,c_98,c_10386]) ).
tcf(c_23349,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(X0,sK9(sK6,sK6)))
| ( X0 = sK6 )
| ( sK9(sK6,sK6) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0)
| ~ aNaturalNumber0(sK9(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_12091,c_88]) ).
tcf(c_23350,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( sK9(sK6,sK6) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ( sdtasdt0(sK6,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_12091,c_92]) ).
tcf(c_23351,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(sK6,X0))
| ( sz00 = sK6 )
| ( sK9(sK6,sK6) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ sdtlseqdt0(sK9(sK6,sK6),X0) ),
inference(superposition,[status(thm)],[c_12091,c_86]) ).
tcf(c_23352,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6,X0),sK6)
| ( sz00 = sK6 )
| ( sK9(sK6,sK6) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ sdtlseqdt0(X0,sK9(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_12091,c_86]) ).
tcf(c_23353,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ( sK9(sK6,sK6) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ( sdtasdt0(X0,sK9(sK6,sK6)) != sK6 ) ),
inference(superposition,[status(thm)],[c_12091,c_93]) ).
tcf(c_23354,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sK6,sK6)),sK6)
| ( X0 = sK6 )
| ( sK9(sK6,sK6) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(sK9(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_12091,c_88]) ).
tcf(c_23355,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( sK9(sK6,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ( sdtasdt0(sK6,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23350,c_73]) ).
tcf(c_23361,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ( sK9(sK6,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ( sdtasdt0(X0,sK9(sK6,sK6)) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23353,c_73]) ).
tcf(c_23367,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sK6,sK6)),sK6)
| ( X0 = sK6 )
| ( sK9(sK6,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(sK9(sK6,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23354,c_73]) ).
tcf(c_23374,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6,X0),sK6)
| ( sz00 = sK6 )
| ( sK9(sK6,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ sdtlseqdt0(X0,sK9(sK6,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23352,c_73]) ).
tcf(c_23381,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(sK6,X0))
| ( sz00 = sK6 )
| ( sK9(sK6,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ sdtlseqdt0(sK9(sK6,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23351,c_73]) ).
tcf(c_23388,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(X0,sK9(sK6,sK6)))
| ( X0 = sK6 )
| ( sK9(sK6,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0)
| ~ aNaturalNumber0(sK9(sK6,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23349,c_73]) ).
tcf(c_23407,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK9(xp,xp)))
| ( X0 = xp )
| ( sK9(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK9(xp,xp)) ),
inference(superposition,[status(thm)],[c_12092,c_88]) ).
tcf(c_23408,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sK9(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ( sdtasdt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_12092,c_92]) ).
tcf(c_23409,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sK9(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ sdtlseqdt0(sK9(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_12092,c_86]) ).
tcf(c_23410,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( xp = sz00 )
| ( sK9(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ sdtlseqdt0(X0,sK9(xp,xp)) ),
inference(superposition,[status(thm)],[c_12092,c_86]) ).
tcf(c_23411,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK9(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ( sdtasdt0(X0,sK9(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_12092,c_93]) ).
tcf(c_23412,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xp,xp)),xp)
| ( X0 = xp )
| ( sK9(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK9(xp,xp)) ),
inference(superposition,[status(thm)],[c_12092,c_88]) ).
tcf(c_23413,plain,
! [X0: $i] :
( ( sK9(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ( sdtasdt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23408,c_68,c_51]) ).
tcf(c_23418,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK9(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ( sdtasdt0(X0,sK9(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23411,c_51]) ).
tcf(c_23424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xp,xp)),xp)
| ( X0 = xp )
| ( sK9(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK9(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23412,c_51]) ).
tcf(c_23431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( sK9(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ sdtlseqdt0(X0,sK9(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23410,c_68,c_51]) ).
tcf(c_23437,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( sK9(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ sdtlseqdt0(sK9(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23409,c_68,c_51]) ).
tcf(c_23443,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK9(xp,xp)))
| ( X0 = xp )
| ( sK9(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK9(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23407,c_51]) ).
tcf(c_23462,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK9(xm,xm)))
| ( X0 = xm )
| ( sK9(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK9(xm,xm)) ),
inference(superposition,[status(thm)],[c_12093,c_88]) ).
tcf(c_23463,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK9(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_12093,c_92]) ).
tcf(c_23464,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK9(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ sdtlseqdt0(sK9(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_12093,c_86]) ).
tcf(c_23465,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( sK9(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ sdtlseqdt0(X0,sK9(xm,xm)) ),
inference(superposition,[status(thm)],[c_12093,c_86]) ).
tcf(c_23466,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK9(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ( sdtasdt0(X0,sK9(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_12093,c_93]) ).
tcf(c_23467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xm,xm)),xm)
| ( X0 = xm )
| ( sK9(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK9(xm,xm)) ),
inference(superposition,[status(thm)],[c_12093,c_88]) ).
tcf(c_23468,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK9(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23463,c_50]) ).
tcf(c_23474,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK9(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ( sdtasdt0(X0,sK9(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23466,c_50]) ).
tcf(c_23480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xm,xm)),xm)
| ( X0 = xm )
| ( sK9(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK9(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23467,c_50]) ).
tcf(c_23487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( sK9(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ sdtlseqdt0(X0,sK9(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23465,c_50]) ).
tcf(c_23494,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK9(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ sdtlseqdt0(sK9(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23464,c_50]) ).
tcf(c_23501,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK9(xm,xm)))
| ( X0 = xm )
| ( sK9(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK9(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23462,c_50]) ).
tcf(c_23586,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK9(xn,xn)))
| ( X0 = xn )
| ( sK9(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK9(xn,xn)) ),
inference(superposition,[status(thm)],[c_12094,c_88]) ).
tcf(c_23587,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK9(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ( sdtasdt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_12094,c_92]) ).
tcf(c_23588,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK9(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ sdtlseqdt0(sK9(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_12094,c_86]) ).
tcf(c_23589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( xn = sz00 )
| ( sK9(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ sdtlseqdt0(X0,sK9(xn,xn)) ),
inference(superposition,[status(thm)],[c_12094,c_86]) ).
tcf(c_23590,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK9(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ( sdtasdt0(X0,sK9(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_12094,c_93]) ).
tcf(c_23591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xn,xn)),xn)
| ( X0 = xn )
| ( sK9(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK9(xn,xn)) ),
inference(superposition,[status(thm)],[c_12094,c_88]) ).
tcf(c_23592,plain,
! [X0: $i] :
( ( sK9(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ( sdtasdt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23587,c_11487,c_49]) ).
tcf(c_23597,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK9(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ( sdtasdt0(X0,sK9(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23590,c_49]) ).
tcf(c_23603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xn,xn)),xn)
| ( X0 = xn )
| ( sK9(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK9(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23591,c_49]) ).
tcf(c_23610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( sK9(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ sdtlseqdt0(X0,sK9(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23589,c_11487,c_49]) ).
tcf(c_23616,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( sK9(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ sdtlseqdt0(sK9(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23588,c_11487,c_49]) ).
tcf(c_23622,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK9(xn,xn)))
| ( X0 = xn )
| ( sK9(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK9(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23586,c_49]) ).
tcf(c_23650,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_10240,c_21951]) ).
tcf(c_23651,plain,
( sP0(sK8(xr,xr))
| doDivides0(sK8(xr,xr),xn)
| sP1(sdtmndt0(xr,xn),sK8(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_11839,c_21951]) ).
tcf(c_23652,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23650,c_98]) ).
tcf(c_23684,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK8(xn,xr),sz00)
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_10240,c_21978]) ).
tcf(c_23685,plain,
( sP0(sK8(xr,xr))
| doDivides0(sK8(xr,xr),xn)
| sP1(sK8(xn,xr),sK8(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_11839,c_21978]) ).
tcf(c_23686,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sK8(xn,xr),sz00)
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23684,c_98]) ).
tcf(c_23718,plain,
( sP0(sz00)
| aNaturalNumber0(sK5(xn,sz00))
| sP1(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_10240,c_22558]) ).
tcf(c_23719,plain,
( sP0(sK8(xr,xr))
| aNaturalNumber0(sK5(xn,sK8(xr,xr)))
| sP1(sdtmndt0(xr,xn),sK8(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_11839,c_22558]) ).
tcf(c_23720,plain,
( sP0(sz00)
| aNaturalNumber0(sK5(xn,sz00))
| sP1(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23718,c_98]) ).
tcf(c_23752,plain,
( sP0(sz00)
| aNaturalNumber0(sK5(xn,sz00))
| sP1(sK8(xn,xr),sz00)
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_10240,c_22585]) ).
tcf(c_23753,plain,
( sP0(sK8(xr,xr))
| aNaturalNumber0(sK5(xn,sK8(xr,xr)))
| sP1(sK8(xn,xr),sK8(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_11839,c_22585]) ).
tcf(c_23754,plain,
( sP0(sz00)
| aNaturalNumber0(sK5(xn,sz00))
| sP1(sK8(xn,xr),sz00)
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23752,c_98]) ).
tcf(c_23786,plain,
( sP0(sz00)
| sP1(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ( sdtasdt0(sz00,sK5(xn,sz00)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_10240,c_23042]) ).
tcf(c_23787,plain,
( sP0(sK8(xr,xr))
| sP1(sdtmndt0(xr,xn),sK8(xr,xr))
| ( xn = xr )
| ( sdtasdt0(sK8(xr,xr),sK5(xn,sK8(xr,xr))) = xn )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_11839,c_23042]) ).
tcf(c_23788,plain,
( sP0(sz00)
| sP1(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ( sdtasdt0(sz00,sK5(xn,sz00)) = xn )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23786,c_98]) ).
tcf(c_23820,plain,
( sP0(sz00)
| sP1(sK8(xn,xr),sz00)
| ( xn = xr )
| ( sdtasdt0(sz00,sK5(xn,sz00)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_10240,c_23069]) ).
tcf(c_23821,plain,
( sP0(sK8(xr,xr))
| sP1(sK8(xn,xr),sK8(xr,xr))
| ( xn = xr )
| ( sdtasdt0(sK8(xr,xr),sK5(xn,sK8(xr,xr))) = xn )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_11839,c_23069]) ).
tcf(c_23822,plain,
( sP0(sz00)
| sP1(sK8(xn,xr),sz00)
| ( xn = xr )
| ( sdtasdt0(sz00,sK5(xn,sz00)) = xn )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23820,c_98]) ).
tcf(c_23852,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_14736,c_141]) ).
tcf(c_23853,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtpldt0(X0,sdtmndt0(sdtmndt0(xr,xn),X0)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_14736,c_146]) ).
tcf(c_23854,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_14736,c_142]) ).
tcf(c_23855,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtpldt0(X0,sK8(X0,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_14736,c_112]) ).
tcf(c_23856,plain,
! [X0: $i] :
( iLess0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_14736,c_120]) ).
tcf(c_23857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_14736,c_16231]) ).
tcf(c_23858,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sK8(xn,xr),xr)
| ~ doDivides0(sK8(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_14736,c_16287]) ).
tcf(c_23966,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_14815,c_141]) ).
tcf(c_23967,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtpldt0(X0,sdtmndt0(sK8(xn,xr),X0)) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_14815,c_146]) ).
tcf(c_23968,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_14815,c_142]) ).
tcf(c_23969,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtpldt0(X0,sK8(X0,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_14815,c_112]) ).
tcf(c_23970,plain,
! [X0: $i] :
( iLess0(X0,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_14815,c_120]) ).
tcf(c_23971,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_14815,c_16245]) ).
tcf(c_23973,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK8(xn,xr)))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),xr)
| ~ doDivides0(sdtmndt0(xr,xn),xn) ),
inference(superposition,[status(thm)],[c_14815,c_16273]) ).
tcf(c_24096,plain,
sdtpldt0(sz10,sK8(sz10,xr)) = xr,
inference(global_subsumption_just,[status(thm)],[c_11869,c_11487,c_11869,c_13006,c_21306]) ).
tcf(c_24098,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,xr),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_24096,c_65]) ).
tcf(c_24099,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_24096,c_63]) ).
tcf(c_24100,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_24096,c_67]) ).
tcf(c_24104,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_24096,c_90]) ).
tcf(c_24106,plain,
( sdtlseqdt0(sz10,xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(superposition,[status(thm)],[c_24096,c_212]) ).
tcf(c_24107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,xr)),xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(superposition,[status(thm)],[c_24096,c_109]) ).
tcf(c_24108,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sK8(sz10,xr)) ),
inference(superposition,[status(thm)],[c_24096,c_105]) ).
tcf(c_24109,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(superposition,[status(thm)],[c_24096,c_104]) ).
tcf(c_24110,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( sK8(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ sdtlseqdt0(sK8(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_24096,c_107]) ).
tcf(c_24111,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( sK8(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ sdtlseqdt0(X0,sK8(sz10,xr)) ),
inference(superposition,[status(thm)],[c_24096,c_107]) ).
tcf(c_24112,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ( sdtpldt0(X0,sK8(sz10,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_24096,c_114]) ).
tcf(c_24113,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK8(sz10,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(superposition,[status(thm)],[c_24096,c_109]) ).
tcf(c_24114,plain,
! [X0: $i] :
( ( sK8(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_24096,c_113]) ).
tcf(c_24115,plain,
( sdtlseqdt0(sz10,xr)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24106,c_102]) ).
tcf(c_24118,plain,
( ~ aNaturalNumber0(sK8(sz10,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24104,c_103,c_102]) ).
tcf(c_24121,plain,
! [X0: $i] :
( ( sK8(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24114,c_102]) ).
tcf(c_24126,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ( sdtpldt0(X0,sK8(sz10,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24112,c_102]) ).
tcf(c_24131,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24109,c_102]) ).
tcf(c_24137,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sK8(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24108,c_102]) ).
tcf(c_24143,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK8(sz10,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24113,c_102]) ).
tcf(c_24149,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,xr)),xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24107,c_102]) ).
tcf(c_24155,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( sK8(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ sdtlseqdt0(X0,sK8(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24111,c_102]) ).
tcf(c_24161,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( sK8(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ sdtlseqdt0(sK8(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24110,c_102]) ).
tcf(c_24167,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24100,c_102]) ).
tcf(c_24175,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24099,c_102]) ).
tcf(c_24183,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,xr),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24098,c_102]) ).
tcf(c_24219,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(xm,X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_74,c_66]) ).
tcf(c_24220,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_10211,c_66]) ).
tcf(c_24221,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_10227,c_66]) ).
tcf(c_24222,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_10210,c_66]) ).
tcf(c_24223,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_10203,c_66]) ).
tcf(c_24224,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_10204,c_66]) ).
tcf(c_24225,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_10205,c_66]) ).
tcf(c_24226,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10207,c_66]) ).
tcf(c_24227,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10208,c_66]) ).
tcf(c_24228,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_10209,c_66]) ).
tcf(c_24229,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_10219,c_66]) ).
tcf(c_24230,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_10220,c_66]) ).
tcf(c_24231,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_10221,c_66]) ).
tcf(c_24232,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK6,X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10223,c_66]) ).
tcf(c_24233,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK7,X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK7),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10224,c_66]) ).
tcf(c_24234,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_10225,c_66]) ).
tcf(c_24235,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_10266,c_66]) ).
tcf(c_24236,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_10267,c_66]) ).
tcf(c_24237,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_10268,c_66]) ).
tcf(c_24238,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_10270,c_66]) ).
tcf(c_24239,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sz10,X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_10271,c_66]) ).
tcf(c_24240,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_10272,c_66]) ).
tcf(c_24241,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_10274,c_66]) ).
tcf(c_24242,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_10282,c_66]) ).
tcf(c_24243,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_10283,c_66]) ).
tcf(c_24244,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_10284,c_66]) ).
tcf(c_24245,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK6,X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_10286,c_66]) ).
tcf(c_24246,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK7,X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK7),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_10287,c_66]) ).
tcf(c_24247,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_10288,c_66]) ).
tcf(c_24248,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtasdt0(xp,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10454,c_66]) ).
tcf(c_24249,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xp,sK6),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10455,c_66]) ).
tcf(c_24250,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(xp,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10458,c_66]) ).
tcf(c_24251,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xp,sK6),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10459,c_66]) ).
tcf(c_24252,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK9(xn,xn),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_12094,c_66]) ).
tcf(c_24253,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK9(xm,xm),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_12093,c_66]) ).
tcf(c_24254,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK9(xp,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK9(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_12092,c_66]) ).
tcf(c_24255,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sK9(sK6,sK6),X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sK9(sK6,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_12091,c_66]) ).
tcf(c_24256,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK9(xr,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK9(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_12090,c_66]) ).
tcf(c_24257,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sK9(sK7,sK7),X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sK9(sK7,sK7)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_12089,c_66]) ).
tcf(c_24258,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_12088,c_66]) ).
tcf(c_24259,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_74,c_66]) ).
tcf(c_24260,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_10211,c_66]) ).
tcf(c_24261,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_10227,c_66]) ).
tcf(c_24262,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_10210,c_66]) ).
tcf(c_24263,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_10203,c_66]) ).
tcf(c_24264,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_10204,c_66]) ).
tcf(c_24265,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_10205,c_66]) ).
tcf(c_24266,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| doDivides0(sK6,X0)
| sP1(X1,sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10207,c_66]) ).
tcf(c_24267,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| doDivides0(sK7,X0)
| sP1(X1,sK7)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10208,c_66]) ).
tcf(c_24268,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_10209,c_66]) ).
tcf(c_24269,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_10219,c_66]) ).
tcf(c_24270,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_10220,c_66]) ).
tcf(c_24271,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_10221,c_66]) ).
tcf(c_24272,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sK6)
| ~ 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_10223,c_66]) ).
tcf(c_24273,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sK7)
| ~ 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_10224,c_66]) ).
tcf(c_24274,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_10225,c_66]) ).
tcf(c_24275,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_10266,c_66]) ).
tcf(c_24276,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_10267,c_66]) ).
tcf(c_24277,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_10268,c_66]) ).
tcf(c_24278,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| doDivides0(sK6,X0)
| sP1(X1,sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_10270,c_66]) ).
tcf(c_24279,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| doDivides0(sK7,X0)
| sP1(X1,sK7)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_10271,c_66]) ).
tcf(c_24280,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_10272,c_66]) ).
tcf(c_24281,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_10274,c_66]) ).
tcf(c_24282,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_10282,c_66]) ).
tcf(c_24283,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_10283,c_66]) ).
tcf(c_24284,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_10284,c_66]) ).
tcf(c_24285,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_10286,c_66]) ).
tcf(c_24286,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_10287,c_66]) ).
tcf(c_24287,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_10288,c_66]) ).
tcf(c_24288,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10454,c_66]) ).
tcf(c_24289,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xp,sK6))
| doDivides0(sdtasdt0(xp,sK6),X0)
| sP1(X1,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,sK6)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10455,c_66]) ).
tcf(c_24290,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10458,c_66]) ).
tcf(c_24291,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xp,sK6))
| doDivides0(sdtasdt0(xp,sK6),X0)
| sP1(X1,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,sK6)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10459,c_66]) ).
tcf(c_24292,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_12094,c_66]) ).
tcf(c_24293,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_12093,c_66]) ).
tcf(c_24294,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_12092,c_66]) ).
tcf(c_24295,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| doDivides0(sK6,X0)
| sP1(X1,sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_12091,c_66]) ).
tcf(c_24296,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_12090,c_66]) ).
tcf(c_24297,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| doDivides0(sK7,X0)
| sP1(X1,sK7)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_12089,c_66]) ).
tcf(c_24298,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_12088,c_66]) ).
tcf(c_24299,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_24306,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_24281,c_102]) ).
tcf(c_24314,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_24262,c_98]) ).
tcf(c_24322,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_24241,c_102]) ).
tcf(c_24330,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_24222,c_10241]) ).
tcf(c_24331,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_24330,c_98]) ).
tcf(c_24339,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_24287,c_79,c_102]) ).
tcf(c_24347,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) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24286,c_76,c_102]) ).
tcf(c_24355,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) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24285,c_73,c_102]) ).
tcf(c_24363,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_24284,c_102,c_51]) ).
tcf(c_24371,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_24283,c_102,c_50]) ).
tcf(c_24379,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_24282,c_102,c_49]) ).
tcf(c_24387,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_24280,c_79,c_102]) ).
tcf(c_24395,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| doDivides0(sK7,X0)
| sP1(X1,sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24279,c_76,c_102]) ).
tcf(c_24403,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| doDivides0(sK6,X0)
| sP1(X1,sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24278,c_73,c_102]) ).
tcf(c_24411,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_24277,c_102,c_51]) ).
tcf(c_24419,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_24276,c_102,c_50]) ).
tcf(c_24427,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_24275,c_102,c_49]) ).
tcf(c_24441,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_24268,c_79,c_98]) ).
tcf(c_24449,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| doDivides0(sK7,X0)
| sP1(X1,sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24267,c_76,c_98]) ).
tcf(c_24457,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| doDivides0(sK6,X0)
| sP1(X1,sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24266,c_73,c_98]) ).
tcf(c_24465,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_24265,c_98,c_51]) ).
tcf(c_24473,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_24264,c_98,c_50]) ).
tcf(c_24481,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_24263,c_98,c_49]) ).
tcf(c_24490,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_24260,c_102,c_98]) ).
tcf(c_24498,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_24247,c_79,c_102]) ).
tcf(c_24506,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK7,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK7),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24246,c_76,c_102]) ).
tcf(c_24514,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK6,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24245,c_73,c_102]) ).
tcf(c_24522,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_24244,c_102,c_51]) ).
tcf(c_24530,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_24243,c_102,c_50]) ).
tcf(c_24538,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_24242,c_102,c_49]) ).
tcf(c_24546,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_24240,c_79,c_102]) ).
tcf(c_24554,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24239,c_76,c_102]) ).
tcf(c_24562,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sz10,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24238,c_73,c_102]) ).
tcf(c_24570,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_24237,c_102,c_51]) ).
tcf(c_24578,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_24236,c_102,c_50]) ).
tcf(c_24586,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_24235,c_102,c_49]) ).
tcf(c_24594,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_24234,c_10256]) ).
tcf(c_24595,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_24594,c_79,c_98]) ).
tcf(c_24603,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK7,X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_24233,c_10255]) ).
tcf(c_24604,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK7,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24603,c_76,c_98]) ).
tcf(c_24612,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK6,X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_24232,c_10254]) ).
tcf(c_24613,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK6,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24612,c_73,c_98]) ).
tcf(c_24621,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_24231,c_10252]) ).
tcf(c_24622,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_24621,c_98,c_51]) ).
tcf(c_24630,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_24230,c_10251]) ).
tcf(c_24631,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_24630,c_98,c_50]) ).
tcf(c_24639,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_24229,c_10250]) ).
tcf(c_24640,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_24639,c_98,c_49]) ).
tcf(c_24648,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_24228,c_10240]) ).
tcf(c_24649,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_24648,c_79,c_98]) ).
tcf(c_24657,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_24227,c_10239]) ).
tcf(c_24658,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24657,c_76,c_98]) ).
tcf(c_24666,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sz00,X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_24226,c_10238]) ).
tcf(c_24667,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sz00,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24666,c_73,c_98]) ).
tcf(c_24675,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_24225,c_10236]) ).
tcf(c_24676,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_24675,c_98,c_51]) ).
tcf(c_24684,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_24224,c_10235]) ).
tcf(c_24685,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_24684,c_98,c_50]) ).
tcf(c_24693,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_24223,c_10234]) ).
tcf(c_24694,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_24693,c_98,c_49]) ).
tcf(c_24702,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_24221,c_10258]) ).
tcf(c_24703,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_24702,c_102,c_98]) ).
tcf(c_24711,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_24220,c_10242]) ).
tcf(c_24712,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_24711,c_102,c_98]) ).
tcf(c_24720,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24298,c_102]) ).
tcf(c_24729,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| doDivides0(sK7,X0)
| sP1(X1,sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24297,c_76]) ).
tcf(c_24738,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24296,c_79]) ).
tcf(c_24747,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| doDivides0(sK6,X0)
| sP1(X1,sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24295,c_73]) ).
tcf(c_24756,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24294,c_51]) ).
tcf(c_24765,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24293,c_50]) ).
tcf(c_24774,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24292,c_49]) ).
tcf(c_24784,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) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24259,c_50,c_49]) ).
tcf(c_24792,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(xm,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24219,c_50,c_49]) ).
tcf(c_24800,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(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24288,c_102,c_10386]) ).
tcf(c_24808,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24258,c_102]) ).
tcf(c_24817,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sK9(sK7,sK7),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sK9(sK7,sK7)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24257,c_76]) ).
tcf(c_24826,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK9(xr,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK9(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24256,c_79]) ).
tcf(c_24835,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sK9(sK6,sK6),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sK9(sK6,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24255,c_73]) ).
tcf(c_24844,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK9(xp,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK9(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24254,c_51]) ).
tcf(c_24853,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK9(xm,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24253,c_50]) ).
tcf(c_24862,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK9(xn,xn),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24252,c_49]) ).
tcf(c_24871,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_24251,c_10457]) ).
tcf(c_24872,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24871,c_98,c_10386]) ).
tcf(c_24880,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_24250,c_10456]) ).
tcf(c_24881,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24880,c_98,c_10386]) ).
tcf(c_24889,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xp,sK6),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24249,c_102,c_10386]) ).
tcf(c_24897,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtasdt0(xp,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24248,c_102,c_10386]) ).
tcf(c_24905,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xp,sK6))
| doDivides0(sdtasdt0(xp,sK6),X0)
| sP1(X1,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,sK6)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24291,c_98,c_10386]) ).
tcf(c_24913,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xp,sK6))
| doDivides0(sdtasdt0(xp,sK6),X0)
| sP1(X1,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,sK6)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24289,c_102,c_10386]) ).
tcf(c_25053,plain,
( ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_15725,c_112]) ).
tcf(c_25107,plain,
( ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,xr)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25053,c_79,c_49]) ).
tcf(c_25286,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK5(xn,X0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_74,c_62]) ).
tcf(c_25287,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_10211,c_62]) ).
tcf(c_25288,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_10227,c_62]) ).
tcf(c_25289,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_10210,c_62]) ).
tcf(c_25290,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_10203,c_62]) ).
tcf(c_25291,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_10204,c_62]) ).
tcf(c_25292,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_10205,c_62]) ).
tcf(c_25293,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sK6,X0))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10207,c_62]) ).
tcf(c_25294,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sK7,X0))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10208,c_62]) ).
tcf(c_25295,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_10209,c_62]) ).
tcf(c_25296,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK5(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_10219,c_62]) ).
tcf(c_25297,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK5(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_10220,c_62]) ).
tcf(c_25298,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK5(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_10221,c_62]) ).
tcf(c_25299,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK6,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10223,c_62]) ).
tcf(c_25300,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK7,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK7),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10224,c_62]) ).
tcf(c_25301,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK5(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_10225,c_62]) ).
tcf(c_25302,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_10266,c_62]) ).
tcf(c_25303,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_10267,c_62]) ).
tcf(c_25304,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_10268,c_62]) ).
tcf(c_25305,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(sK6,X0))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_10270,c_62]) ).
tcf(c_25306,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(sK7,X0))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_10271,c_62]) ).
tcf(c_25307,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_10272,c_62]) ).
tcf(c_25308,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_10274,c_62]) ).
tcf(c_25309,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK5(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_10282,c_62]) ).
tcf(c_25310,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK5(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_10283,c_62]) ).
tcf(c_25311,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK5(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_10284,c_62]) ).
tcf(c_25312,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK6,X0)
| aNaturalNumber0(sK5(sz10,X0))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_10286,c_62]) ).
tcf(c_25313,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK7,X0)
| aNaturalNumber0(sK5(sz10,X0))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK7),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_10287,c_62]) ).
tcf(c_25314,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK5(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_10288,c_62]) ).
tcf(c_25315,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtasdt0(xp,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10454,c_62]) ).
tcf(c_25316,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(sdtasdt0(xp,sK6),X0))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xp,sK6),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10455,c_62]) ).
tcf(c_25317,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(xp,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10458,c_62]) ).
tcf(c_25318,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sdtasdt0(xp,sK6),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xp,sK6),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10459,c_62]) ).
tcf(c_25319,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sK9(xn,xn),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_12094,c_62]) ).
tcf(c_25320,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xm,X0))
| sP1(sK9(xm,xm),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_12093,c_62]) ).
tcf(c_25321,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sK9(xp,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK9(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_12092,c_62]) ).
tcf(c_25322,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK6,X0))
| sP1(sK9(sK6,sK6),X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sK9(sK6,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_12091,c_62]) ).
tcf(c_25323,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xr,X0))
| sP1(sK9(xr,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK9(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_12090,c_62]) ).
tcf(c_25324,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK7,X0))
| sP1(sK9(sK7,sK7),X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sK9(sK7,sK7)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_12089,c_62]) ).
tcf(c_25325,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_12088,c_62]) ).
tcf(c_25326,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK5(X0,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_74,c_62]) ).
tcf(c_25327,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(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_10211,c_62]) ).
tcf(c_25328,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK5(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_10227,c_62]) ).
tcf(c_25329,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK5(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_10210,c_62]) ).
tcf(c_25330,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK5(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_10203,c_62]) ).
tcf(c_25331,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK5(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_10204,c_62]) ).
tcf(c_25332,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK5(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_10205,c_62]) ).
tcf(c_25333,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| aNaturalNumber0(sK5(X0,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10207,c_62]) ).
tcf(c_25334,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| aNaturalNumber0(sK5(X0,sK7))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10208,c_62]) ).
tcf(c_25335,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK5(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_10209,c_62]) ).
tcf(c_25336,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK5(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_10219,c_62]) ).
tcf(c_25337,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK5(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_10220,c_62]) ).
tcf(c_25338,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK5(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_10221,c_62]) ).
tcf(c_25339,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK5(X0,sz00))
| ~ aNaturalNumber0(sK6)
| ~ 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_10223,c_62]) ).
tcf(c_25340,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK5(X0,sz00))
| ~ aNaturalNumber0(sK7)
| ~ 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_10224,c_62]) ).
tcf(c_25341,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK5(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_10225,c_62]) ).
tcf(c_25342,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK5(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_10266,c_62]) ).
tcf(c_25343,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK5(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_10267,c_62]) ).
tcf(c_25344,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK5(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_10268,c_62]) ).
tcf(c_25345,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| aNaturalNumber0(sK5(X0,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_10270,c_62]) ).
tcf(c_25346,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| aNaturalNumber0(sK5(X0,sK7))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_10271,c_62]) ).
tcf(c_25347,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK5(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_10272,c_62]) ).
tcf(c_25348,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(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_10274,c_62]) ).
tcf(c_25349,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(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_10282,c_62]) ).
tcf(c_25350,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(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_10283,c_62]) ).
tcf(c_25351,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(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_10284,c_62]) ).
tcf(c_25352,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_10286,c_62]) ).
tcf(c_25353,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_10287,c_62]) ).
tcf(c_25354,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(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_10288,c_62]) ).
tcf(c_25355,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10454,c_62]) ).
tcf(c_25356,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xp,sK6))
| sP1(X1,sdtasdt0(xp,sK6))
| aNaturalNumber0(sK5(X0,sdtasdt0(xp,sK6)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,sK6)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10455,c_62]) ).
tcf(c_25357,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK5(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10458,c_62]) ).
tcf(c_25358,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xp,sK6))
| sP1(X1,sdtasdt0(xp,sK6))
| aNaturalNumber0(sK5(X0,sdtasdt0(xp,sK6)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,sK6)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10459,c_62]) ).
tcf(c_25359,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK5(X0,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_12094,c_62]) ).
tcf(c_25360,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK5(X0,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_12093,c_62]) ).
tcf(c_25361,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK5(X0,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_12092,c_62]) ).
tcf(c_25362,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| aNaturalNumber0(sK5(X0,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_12091,c_62]) ).
tcf(c_25363,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK5(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_12090,c_62]) ).
tcf(c_25364,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| aNaturalNumber0(sK5(X0,sK7))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_12089,c_62]) ).
tcf(c_25365,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_12088,c_62]) ).
tcf(c_25366,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(X1,X0)
| aNaturalNumber0(sK5(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_25373,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(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_25348,c_102]) ).
tcf(c_25381,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK5(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_25329,c_98]) ).
tcf(c_25389,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_25308,c_102]) ).
tcf(c_25397,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_25289,c_10241]) ).
tcf(c_25398,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_25397,c_98]) ).
tcf(c_25406,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(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_25354,c_79,c_102]) ).
tcf(c_25414,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25353,c_76,c_102]) ).
tcf(c_25422,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25352,c_73,c_102]) ).
tcf(c_25430,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(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_25351,c_102,c_51]) ).
tcf(c_25438,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(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_25350,c_102,c_50]) ).
tcf(c_25446,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(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_25349,c_102,c_49]) ).
tcf(c_25454,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK5(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_25347,c_79,c_102]) ).
tcf(c_25462,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| aNaturalNumber0(sK5(X0,sK7))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25346,c_76,c_102]) ).
tcf(c_25470,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| aNaturalNumber0(sK5(X0,sK6))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25345,c_73,c_102]) ).
tcf(c_25478,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK5(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_25344,c_102,c_51]) ).
tcf(c_25486,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK5(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_25343,c_102,c_50]) ).
tcf(c_25494,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK5(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_25342,c_102,c_49]) ).
tcf(c_25508,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK5(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_25335,c_79,c_98]) ).
tcf(c_25516,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| aNaturalNumber0(sK5(X0,sK7))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25334,c_76,c_98]) ).
tcf(c_25524,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| aNaturalNumber0(sK5(X0,sK6))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25333,c_73,c_98]) ).
tcf(c_25532,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK5(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_25332,c_98,c_51]) ).
tcf(c_25540,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK5(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_25331,c_98,c_50]) ).
tcf(c_25548,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK5(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_25330,c_98,c_49]) ).
tcf(c_25557,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(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_25327,c_102,c_98]) ).
tcf(c_25565,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK5(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_25314,c_79,c_102]) ).
tcf(c_25573,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK7,X0)
| aNaturalNumber0(sK5(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK7),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25313,c_76,c_102]) ).
tcf(c_25581,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK6,X0)
| aNaturalNumber0(sK5(sz10,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25312,c_73,c_102]) ).
tcf(c_25589,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK5(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_25311,c_102,c_51]) ).
tcf(c_25597,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK5(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_25310,c_102,c_50]) ).
tcf(c_25605,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK5(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_25309,c_102,c_49]) ).
tcf(c_25613,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_25307,c_79,c_102]) ).
tcf(c_25621,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(sK7,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25306,c_76,c_102]) ).
tcf(c_25629,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(sK6,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25305,c_73,c_102]) ).
tcf(c_25637,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_25304,c_102,c_51]) ).
tcf(c_25645,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_25303,c_102,c_50]) ).
tcf(c_25653,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_25302,c_102,c_49]) ).
tcf(c_25661,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK5(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_25301,c_10256]) ).
tcf(c_25662,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| aNaturalNumber0(sK5(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_25661,c_79,c_98]) ).
tcf(c_25670,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK7,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_25300,c_10255]) ).
tcf(c_25671,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK7,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25670,c_76,c_98]) ).
tcf(c_25679,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK6,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_25299,c_10254]) ).
tcf(c_25680,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK6,X0)
| aNaturalNumber0(sK5(sz00,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25679,c_73,c_98]) ).
tcf(c_25688,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK5(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_25298,c_10252]) ).
tcf(c_25689,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| aNaturalNumber0(sK5(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_25688,c_98,c_51]) ).
tcf(c_25697,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK5(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_25297,c_10251]) ).
tcf(c_25698,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK5(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_25697,c_98,c_50]) ).
tcf(c_25706,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK5(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_25296,c_10250]) ).
tcf(c_25707,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| aNaturalNumber0(sK5(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_25706,c_98,c_49]) ).
tcf(c_25715,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_25295,c_10240]) ).
tcf(c_25716,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_25715,c_79,c_98]) ).
tcf(c_25724,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sK7,X0))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_25294,c_10239]) ).
tcf(c_25725,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sK7,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25724,c_76,c_98]) ).
tcf(c_25733,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sK6,X0))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_25293,c_10238]) ).
tcf(c_25734,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sK6,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25733,c_73,c_98]) ).
tcf(c_25742,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_25292,c_10236]) ).
tcf(c_25743,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_25742,c_98,c_51]) ).
tcf(c_25751,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_25291,c_10235]) ).
tcf(c_25752,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_25751,c_98,c_50]) ).
tcf(c_25760,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_25290,c_10234]) ).
tcf(c_25761,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_25760,c_98,c_49]) ).
tcf(c_25769,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_25288,c_10258]) ).
tcf(c_25770,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(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_25769,c_102,c_98]) ).
tcf(c_25778,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_25287,c_10242]) ).
tcf(c_25779,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(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_25778,c_102,c_98]) ).
tcf(c_25787,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25365,c_102]) ).
tcf(c_25796,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| aNaturalNumber0(sK5(X0,sK7))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25364,c_76]) ).
tcf(c_25805,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK5(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25363,c_79]) ).
tcf(c_25814,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| aNaturalNumber0(sK5(X0,sK6))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25362,c_73]) ).
tcf(c_25823,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK5(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25361,c_51]) ).
tcf(c_25832,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK5(X0,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25360,c_50]) ).
tcf(c_25841,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK5(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25359,c_49]) ).
tcf(c_25851,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK5(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25326,c_50,c_49]) ).
tcf(c_25859,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| aNaturalNumber0(sK5(xn,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25286,c_50,c_49]) ).
tcf(c_25867,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25355,c_102,c_10386]) ).
tcf(c_25875,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,sz10),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25325,c_102]) ).
tcf(c_25884,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK7,X0))
| sP1(sK9(sK7,sK7),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sK9(sK7,sK7)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25324,c_76]) ).
tcf(c_25893,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xr,X0))
| sP1(sK9(xr,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK9(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25323,c_79]) ).
tcf(c_25902,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK6,X0))
| sP1(sK9(sK6,sK6),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sK9(sK6,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25322,c_73]) ).
tcf(c_25911,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sK9(xp,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK9(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25321,c_51]) ).
tcf(c_25920,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xm,X0))
| sP1(sK9(xm,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25320,c_50]) ).
tcf(c_25929,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sK9(xn,xn),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25319,c_49]) ).
tcf(c_25938,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sdtasdt0(xp,sK6),X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_25318,c_10457]) ).
tcf(c_25939,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| aNaturalNumber0(sK5(sdtasdt0(xp,sK6),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25938,c_98,c_10386]) ).
tcf(c_25947,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_25317,c_10456]) ).
tcf(c_25948,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25947,c_98,c_10386]) ).
tcf(c_25956,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| aNaturalNumber0(sK5(sdtasdt0(xp,sK6),X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xp,sK6),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25316,c_102,c_10386]) ).
tcf(c_25964,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtasdt0(xp,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25315,c_102,c_10386]) ).
tcf(c_25972,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xp,sK6))
| sP1(X1,sdtasdt0(xp,sK6))
| aNaturalNumber0(sK5(X0,sdtasdt0(xp,sK6)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,sK6)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25358,c_98,c_10386]) ).
tcf(c_25980,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xp,sK6))
| sP1(X1,sdtasdt0(xp,sK6))
| aNaturalNumber0(sK5(X0,sdtasdt0(xp,sK6)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,sK6)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25356,c_102,c_10386]) ).
tcf(c_26145,plain,
( ( xn = xr )
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_25107,c_90]) ).
tcf(c_26148,plain,
( ( xn = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26145,c_21529,c_49]) ).
tcf(c_26159,plain,
sz00 != xr,
inference(global_subsumption_just,[status(thm)],[c_26148,c_98,c_79,c_83,c_10240,c_10605,c_11487,c_11947,c_11946,c_17280,c_21306,c_21627]) ).
tcf(c_26200,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_74,c_64]) ).
tcf(c_26201,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_10211,c_64]) ).
tcf(c_26202,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_10227,c_64]) ).
tcf(c_26203,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_10210,c_64]) ).
tcf(c_26204,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_10203,c_64]) ).
tcf(c_26205,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_10204,c_64]) ).
tcf(c_26206,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_10205,c_64]) ).
tcf(c_26207,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10207,c_64]) ).
tcf(c_26208,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10208,c_64]) ).
tcf(c_26209,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_10209,c_64]) ).
tcf(c_26210,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK5(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_10219,c_64]) ).
tcf(c_26211,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK5(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_10220,c_64]) ).
tcf(c_26212,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK5(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_10221,c_64]) ).
tcf(c_26213,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK6,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10223,c_64]) ).
tcf(c_26214,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK7,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK7),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10224,c_64]) ).
tcf(c_26215,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK5(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_10225,c_64]) ).
tcf(c_26216,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_10266,c_64]) ).
tcf(c_26217,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_10267,c_64]) ).
tcf(c_26218,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_10268,c_64]) ).
tcf(c_26219,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_10270,c_64]) ).
tcf(c_26220,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_10271,c_64]) ).
tcf(c_26221,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_10272,c_64]) ).
tcf(c_26222,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_10274,c_64]) ).
tcf(c_26223,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK5(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_10282,c_64]) ).
tcf(c_26224,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK5(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_10283,c_64]) ).
tcf(c_26225,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK5(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_10284,c_64]) ).
tcf(c_26226,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK6,X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_10286,c_64]) ).
tcf(c_26227,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK7,X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK7),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_10287,c_64]) ).
tcf(c_26228,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK5(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_10288,c_64]) ).
tcf(c_26229,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtasdt0(xp,sK6),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtasdt0(xp,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10454,c_64]) ).
tcf(c_26230,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(sdtasdt0(xp,sK6),X0)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xp,sK6),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10455,c_64]) ).
tcf(c_26231,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtasdt0(xp,sK6),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(xp,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10458,c_64]) ).
tcf(c_26232,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sdtasdt0(xp,sK6),X0)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xp,sK6),sz00),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10459,c_64]) ).
tcf(c_26233,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xn,xn),X0)
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_12094,c_64]) ).
tcf(c_26234,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xm,xm),X0)
| ( sdtasdt0(X0,sK5(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_12093,c_64]) ).
tcf(c_26235,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xp,xp),X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK9(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_12092,c_64]) ).
tcf(c_26236,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sK6,sK6),X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sK9(sK6,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_12091,c_64]) ).
tcf(c_26237,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xr,xr),X0)
| ( sdtasdt0(X0,sK5(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK9(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_12090,c_64]) ).
tcf(c_26238,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sK7,sK7),X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sK9(sK7,sK7)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_12089,c_64]) ).
tcf(c_26239,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,sz10),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_12088,c_64]) ).
tcf(c_26240,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK5(X0,xn)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_74,c_64]) ).
tcf(c_26241,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(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_10211,c_64]) ).
tcf(c_26242,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK5(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_10227,c_64]) ).
tcf(c_26243,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK5(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_10210,c_64]) ).
tcf(c_26244,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK5(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_10203,c_64]) ).
tcf(c_26245,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK5(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_10204,c_64]) ).
tcf(c_26246,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK5(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_10205,c_64]) ).
tcf(c_26247,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| ( sdtasdt0(sK6,sK5(X0,sK6)) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10207,c_64]) ).
tcf(c_26248,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| ( sdtasdt0(sK7,sK5(X0,sK7)) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10208,c_64]) ).
tcf(c_26249,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK5(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_10209,c_64]) ).
tcf(c_26250,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK5(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_10219,c_64]) ).
tcf(c_26251,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK5(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_10220,c_64]) ).
tcf(c_26252,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK5(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_10221,c_64]) ).
tcf(c_26253,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK5(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ 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_10223,c_64]) ).
tcf(c_26254,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK5(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ 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_10224,c_64]) ).
tcf(c_26255,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK5(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_10225,c_64]) ).
tcf(c_26256,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK5(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_10266,c_64]) ).
tcf(c_26257,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK5(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_10267,c_64]) ).
tcf(c_26258,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK5(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_10268,c_64]) ).
tcf(c_26259,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| ( sdtasdt0(sK6,sK5(X0,sK6)) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_10270,c_64]) ).
tcf(c_26260,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| ( sdtasdt0(sK7,sK5(X0,sK7)) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_10271,c_64]) ).
tcf(c_26261,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK5(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_10272,c_64]) ).
tcf(c_26262,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(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_10274,c_64]) ).
tcf(c_26263,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(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_10282,c_64]) ).
tcf(c_26264,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(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_10283,c_64]) ).
tcf(c_26265,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(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_10284,c_64]) ).
tcf(c_26266,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_10286,c_64]) ).
tcf(c_26267,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_10287,c_64]) ).
tcf(c_26268,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(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_10288,c_64]) ).
tcf(c_26269,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10454,c_64]) ).
tcf(c_26270,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xp,sK6))
| sP1(X1,sdtasdt0(xp,sK6))
| ( sdtasdt0(sdtasdt0(xp,sK6),sK5(X0,sdtasdt0(xp,sK6))) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,sK6)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_10455,c_64]) ).
tcf(c_26271,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK5(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10458,c_64]) ).
tcf(c_26272,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xp,sK6))
| sP1(X1,sdtasdt0(xp,sK6))
| ( sdtasdt0(sdtasdt0(xp,sK6),sK5(X0,sdtasdt0(xp,sK6))) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,sK6)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_10459,c_64]) ).
tcf(c_26273,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK5(X0,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_12094,c_64]) ).
tcf(c_26274,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK5(X0,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_12093,c_64]) ).
tcf(c_26275,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK5(X0,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_12092,c_64]) ).
tcf(c_26276,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| ( sdtasdt0(sK6,sK5(X0,sK6)) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_12091,c_64]) ).
tcf(c_26277,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK5(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_12090,c_64]) ).
tcf(c_26278,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| ( sdtasdt0(sK7,sK5(X0,sK7)) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_12089,c_64]) ).
tcf(c_26279,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(superposition,[status(thm)],[c_12088,c_64]) ).
tcf(c_26280,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(X1,X0)
| ( sdtasdt0(X0,sK5(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_26287,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(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_26262,c_102]) ).
tcf(c_26295,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK5(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_26243,c_98]) ).
tcf(c_26303,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_26222,c_102]) ).
tcf(c_26311,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_26203,c_10241]) ).
tcf(c_26312,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_26311,c_98]) ).
tcf(c_26320,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(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_26268,c_79,c_102]) ).
tcf(c_26328,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26267,c_76,c_102]) ).
tcf(c_26336,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26266,c_73,c_102]) ).
tcf(c_26344,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(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_26265,c_102,c_51]) ).
tcf(c_26352,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(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_26264,c_102,c_50]) ).
tcf(c_26360,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(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_26263,c_102,c_49]) ).
tcf(c_26368,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK5(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_26261,c_79,c_102]) ).
tcf(c_26376,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| ( sdtasdt0(sK7,sK5(X0,sK7)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26260,c_76,c_102]) ).
tcf(c_26384,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| ( sdtasdt0(sK6,sK5(X0,sK6)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26259,c_73,c_102]) ).
tcf(c_26392,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK5(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_26258,c_102,c_51]) ).
tcf(c_26400,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK5(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_26257,c_102,c_50]) ).
tcf(c_26408,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK5(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_26256,c_102,c_49]) ).
tcf(c_26422,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK5(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_26249,c_79,c_98]) ).
tcf(c_26430,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| ( sdtasdt0(sK7,sK5(X0,sK7)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26248,c_76,c_98]) ).
tcf(c_26438,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| ( sdtasdt0(sK6,sK5(X0,sK6)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26247,c_73,c_98]) ).
tcf(c_26446,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK5(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_26246,c_98,c_51]) ).
tcf(c_26454,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK5(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_26245,c_98,c_50]) ).
tcf(c_26462,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK5(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_26244,c_98,c_49]) ).
tcf(c_26471,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(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_26241,c_102,c_98]) ).
tcf(c_26479,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK5(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_26228,c_79,c_102]) ).
tcf(c_26487,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK7,X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK7),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26227,c_76,c_102]) ).
tcf(c_26495,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK6,X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26226,c_73,c_102]) ).
tcf(c_26503,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK5(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_26225,c_102,c_51]) ).
tcf(c_26511,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK5(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_26224,c_102,c_50]) ).
tcf(c_26519,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK5(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_26223,c_102,c_49]) ).
tcf(c_26527,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_26221,c_79,c_102]) ).
tcf(c_26535,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26220,c_76,c_102]) ).
tcf(c_26543,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26219,c_73,c_102]) ).
tcf(c_26551,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_26218,c_102,c_51]) ).
tcf(c_26559,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_26217,c_102,c_50]) ).
tcf(c_26567,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_26216,c_102,c_49]) ).
tcf(c_26575,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK5(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_26215,c_10256]) ).
tcf(c_26576,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xr,X0)
| ( sdtasdt0(X0,sK5(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_26575,c_79,c_98]) ).
tcf(c_26584,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK7,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_26214,c_10255]) ).
tcf(c_26585,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK7,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26584,c_76,c_98]) ).
tcf(c_26593,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK6,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_26213,c_10254]) ).
tcf(c_26594,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK6,X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26593,c_73,c_98]) ).
tcf(c_26602,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK5(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_26212,c_10252]) ).
tcf(c_26603,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xp,X0)
| ( sdtasdt0(X0,sK5(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_26602,c_98,c_51]) ).
tcf(c_26611,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK5(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_26211,c_10251]) ).
tcf(c_26612,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK5(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_26611,c_98,c_50]) ).
tcf(c_26620,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK5(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_26210,c_10250]) ).
tcf(c_26621,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xn,X0)
| ( sdtasdt0(X0,sK5(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_26620,c_98,c_49]) ).
tcf(c_26629,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_26209,c_10240]) ).
tcf(c_26630,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_26629,c_79,c_98]) ).
tcf(c_26638,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_26208,c_10239]) ).
tcf(c_26639,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26638,c_76,c_98]) ).
tcf(c_26647,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_26207,c_10238]) ).
tcf(c_26648,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26647,c_73,c_98]) ).
tcf(c_26656,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_26206,c_10236]) ).
tcf(c_26657,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_26656,c_98,c_51]) ).
tcf(c_26665,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_26205,c_10235]) ).
tcf(c_26666,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_26665,c_98,c_50]) ).
tcf(c_26674,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_26204,c_10234]) ).
tcf(c_26675,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_26674,c_98,c_49]) ).
tcf(c_26683,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_26202,c_10258]) ).
tcf(c_26684,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(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_26683,c_102,c_98]) ).
tcf(c_26692,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_26201,c_10242]) ).
tcf(c_26693,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(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_26692,c_102,c_98]) ).
tcf(c_26701,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26279,c_102]) ).
tcf(c_26710,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| ( sdtasdt0(sK7,sK5(X0,sK7)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26278,c_76]) ).
tcf(c_26719,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK5(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26277,c_79]) ).
tcf(c_26728,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| ( sdtasdt0(sK6,sK5(X0,sK6)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26276,c_73]) ).
tcf(c_26737,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK5(X0,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26275,c_51]) ).
tcf(c_26746,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK5(X0,xm)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26274,c_50]) ).
tcf(c_26755,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK5(X0,xn)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26273,c_49]) ).
tcf(c_26765,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK5(X0,xn)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26240,c_50,c_49]) ).
tcf(c_26773,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(xm,X0)
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26200,c_50,c_49]) ).
tcf(c_26781,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26269,c_102,c_10386]) ).
tcf(c_26789,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,sz10),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sz10)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26239,c_102]) ).
tcf(c_26798,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sK7,sK7),X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sK9(sK7,sK7)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26238,c_76]) ).
tcf(c_26807,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xr,xr),X0)
| ( sdtasdt0(X0,sK5(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK9(xr,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26237,c_79]) ).
tcf(c_26816,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sK6,sK6),X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sK9(sK6,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26236,c_73]) ).
tcf(c_26825,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xp,xp),X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK9(xp,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26235,c_51]) ).
tcf(c_26834,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xm,xm),X0)
| ( sdtasdt0(X0,sK5(xm,X0)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9(xm,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26234,c_50]) ).
tcf(c_26843,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xn,xn),X0)
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26233,c_49]) ).
tcf(c_26852,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtasdt0(xp,sK6),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_26231,c_10456]) ).
tcf(c_26853,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtasdt0(xp,sK6),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26852,c_98,c_10386]) ).
tcf(c_26861,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sdtasdt0(xp,sK6),X0)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(light_normalisation,[status(thm)],[c_26232,c_10457]) ).
tcf(c_26862,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz00,X0)
| ( sdtasdt0(X0,sK5(sdtasdt0(xp,sK6),X0)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26861,c_98,c_10386]) ).
tcf(c_26870,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sdtasdt0(xp,sK6),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sdtasdt0(xp,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26229,c_102,c_10386]) ).
tcf(c_26878,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sz10,X0)
| ( sdtasdt0(X0,sK5(sdtasdt0(xp,sK6),X0)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(sdtasdt0(xp,sK6),sz10),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26230,c_102,c_10386]) ).
tcf(c_26886,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xp,sK6))
| sP1(X1,sdtasdt0(xp,sK6))
| ( sdtasdt0(sdtasdt0(xp,sK6),sK5(X0,sdtasdt0(xp,sK6))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,sK6)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26272,c_98,c_10386]) ).
tcf(c_26894,plain,
! [X0: $i,X1: $i] :
( sP0(sdtasdt0(xp,sK6))
| sP1(X1,sdtasdt0(xp,sK6))
| ( sdtasdt0(sdtasdt0(xp,sK6),sK5(X0,sdtasdt0(xp,sK6))) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xp,sK6)),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26270,c_102,c_10386]) ).
tcf(c_27138,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz00,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK9(sz00,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12095,c_64]) ).
tcf(c_27139,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK9(sz00,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK9(sz00,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12095,c_62]) ).
tcf(c_27140,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK9(sz00,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK9(sz00,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12095,c_66]) ).
tcf(c_27147,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK5(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12095,c_64]) ).
tcf(c_27148,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK5(X0,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12095,c_62]) ).
tcf(c_27149,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12095,c_66]) ).
tcf(c_27151,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(sz00,sz00)))
| ( X0 = sz00 )
| ( sK9(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK9(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_12095,c_88]) ).
tcf(c_27155,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK9(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ( sdtasdt0(X0,sK9(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12095,c_93]) ).
tcf(c_27156,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK9(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK9(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_12095,c_88]) ).
tcf(c_27157,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK9(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ( sdtasdt0(X0,sK9(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27155,c_98]) ).
tcf(c_27163,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK9(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK9(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27156,c_98]) ).
tcf(c_27170,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(sz00,sz00)))
| ( X0 = sz00 )
| ( sK9(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK9(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27151,c_98]) ).
tcf(c_27177,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| doDivides0(sz00,X0)
| sP1(X1,sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27149,c_98]) ).
tcf(c_27186,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| aNaturalNumber0(sK5(X0,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27148,c_98]) ).
tcf(c_27195,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK9(sz00,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK9(sz00,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27140,c_98]) ).
tcf(c_27204,plain,
! [X0: $i,X1: $i] :
( sP0(sz00)
| sP1(X1,sz00)
| ( sdtasdt0(sz00,sK5(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz00),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27147,c_98]) ).
tcf(c_27213,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK9(sz00,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK9(sz00,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27139,c_98]) ).
tcf(c_27222,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz00,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz00,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz00,sK9(sz00,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27138,c_98]) ).
tcf(c_27235,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,sK7),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sK7)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_12096,c_64]) ).
tcf(c_27236,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,sK7),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sK7)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_12096,c_62]) ).
tcf(c_27237,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,sK7),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sK7)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_12096,c_66]) ).
tcf(c_27240,plain,
( ( sz00 = sz10 )
| ( sK9(sz10,sK7) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ( sz00 != sK7 ) ),
inference(superposition,[status(thm)],[c_12096,c_89]) ).
tcf(c_27244,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_12096,c_64]) ).
tcf(c_27245,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_12096,c_62]) ).
tcf(c_27246,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(superposition,[status(thm)],[c_12096,c_66]) ).
tcf(c_27247,plain,
( sdtlseqdt0(sz10,sK7)
| ( sK9(sz10,sK7) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(sz10,sK7)) ),
inference(superposition,[status(thm)],[c_12096,c_84]) ).
tcf(c_27248,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(X0,sK9(sz10,sK7)))
| ( X0 = sz10 )
| ( sK9(sz10,sK7) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,sK7)) ),
inference(superposition,[status(thm)],[c_12096,c_88]) ).
tcf(c_27249,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK9(sz10,sK7) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ( sdtasdt0(sz10,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_12096,c_92]) ).
tcf(c_27250,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK9(sz10,sK7) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ sdtlseqdt0(sK9(sz10,sK7),X0) ),
inference(superposition,[status(thm)],[c_12096,c_86]) ).
tcf(c_27251,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK7)
| ( sz00 = sz10 )
| ( sK9(sz10,sK7) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ sdtlseqdt0(X0,sK9(sz10,sK7)) ),
inference(superposition,[status(thm)],[c_12096,c_86]) ).
tcf(c_27252,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,sK7) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ( sdtasdt0(X0,sK9(sz10,sK7)) != sK7 ) ),
inference(superposition,[status(thm)],[c_12096,c_93]) ).
tcf(c_27253,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,sK7)),sK7)
| ( X0 = sz10 )
| ( sK9(sz10,sK7) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,sK7)) ),
inference(superposition,[status(thm)],[c_12096,c_88]) ).
tcf(c_27254,plain,
( sdtlseqdt0(sz10,sK7)
| ( sK9(sz10,sK7) = sz00 )
| ~ aNaturalNumber0(sK9(sz10,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27247,c_102]) ).
tcf(c_27258,plain,
( ( sK9(sz10,sK7) = sz00 )
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ( sz00 != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27240,c_103,c_102]) ).
tcf(c_27262,plain,
! [X0: $i] :
( ( sK9(sz10,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ( sdtasdt0(sz10,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27249,c_103,c_102]) ).
tcf(c_27267,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,sK7) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ( sdtasdt0(X0,sK9(sz10,sK7)) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27252,c_102]) ).
tcf(c_27273,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,sK7)),sK7)
| ( X0 = sz10 )
| ( sK9(sz10,sK7) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27253,c_102]) ).
tcf(c_27280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK7)
| ( sK9(sz10,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ sdtlseqdt0(X0,sK9(sz10,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27251,c_103,c_102]) ).
tcf(c_27286,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(sz10,X0))
| ( sK9(sz10,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ sdtlseqdt0(sK9(sz10,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27250,c_103,c_102]) ).
tcf(c_27292,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtasdt0(X0,sK9(sz10,sK7)))
| ( X0 = sz10 )
| ( sK9(sz10,sK7) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27248,c_102]) ).
tcf(c_27299,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27246,c_102]) ).
tcf(c_27308,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27245,c_102]) ).
tcf(c_27317,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,sK7),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sK7)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27237,c_102]) ).
tcf(c_27326,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27244,c_102]) ).
tcf(c_27335,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,sK7),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sK7)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27236,c_102]) ).
tcf(c_27344,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,sK7),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK7))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sK7)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27235,c_102]) ).
tcf(c_27382,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,xr),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_12097,c_64]) ).
tcf(c_27383,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_12097,c_62]) ).
tcf(c_27384,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_12097,c_66]) ).
tcf(c_27387,plain,
( ( sz00 = sz10 )
| ( sK9(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_12097,c_89]) ).
tcf(c_27391,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_12097,c_64]) ).
tcf(c_27392,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_12097,c_62]) ).
tcf(c_27393,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(superposition,[status(thm)],[c_12097,c_66]) ).
tcf(c_27394,plain,
( sdtlseqdt0(sz10,xr)
| ( sK9(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(sz10,xr)) ),
inference(superposition,[status(thm)],[c_12097,c_84]) ).
tcf(c_27395,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK9(sz10,xr)))
| ( X0 = sz10 )
| ( sK9(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,xr)) ),
inference(superposition,[status(thm)],[c_12097,c_88]) ).
tcf(c_27396,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK9(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_12097,c_92]) ).
tcf(c_27397,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK9(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ sdtlseqdt0(sK9(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_12097,c_86]) ).
tcf(c_27398,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sz00 = sz10 )
| ( sK9(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ sdtlseqdt0(X0,sK9(sz10,xr)) ),
inference(superposition,[status(thm)],[c_12097,c_86]) ).
tcf(c_27399,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ( sdtasdt0(X0,sK9(sz10,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_12097,c_93]) ).
tcf(c_27400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,xr)),xr)
| ( X0 = sz10 )
| ( sK9(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,xr)) ),
inference(superposition,[status(thm)],[c_12097,c_88]) ).
tcf(c_27401,plain,
( sdtlseqdt0(sz10,xr)
| ( sK9(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sK9(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27394,c_102]) ).
tcf(c_27405,plain,
( ( sK9(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sK9(sz10,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27387,c_103,c_102]) ).
tcf(c_27409,plain,
! [X0: $i] :
( ( sK9(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27396,c_103,c_102]) ).
tcf(c_27414,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ( sdtasdt0(X0,sK9(sz10,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27399,c_102]) ).
tcf(c_27420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,xr)),xr)
| ( X0 = sz10 )
| ( sK9(sz10,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27400,c_102]) ).
tcf(c_27427,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sK9(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ sdtlseqdt0(X0,sK9(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27398,c_103,c_102]) ).
tcf(c_27433,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sK9(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ sdtlseqdt0(sK9(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27397,c_103,c_102]) ).
tcf(c_27439,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK9(sz10,xr)))
| ( X0 = sz10 )
| ( sK9(sz10,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27395,c_102]) ).
tcf(c_27446,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27393,c_102]) ).
tcf(c_27455,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27392,c_102]) ).
tcf(c_27464,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27384,c_102]) ).
tcf(c_27473,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27391,c_102]) ).
tcf(c_27482,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27383,c_102]) ).
tcf(c_27491,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,xr),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27382,c_102]) ).
tcf(c_27508,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,sK6),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_12098,c_64]) ).
tcf(c_27509,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,sK6),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_12098,c_62]) ).
tcf(c_27510,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,sK6),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_12098,c_66]) ).
tcf(c_27513,plain,
( ( sz00 = sz10 )
| ( sK9(sz10,sK6) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ( sz00 != sK6 ) ),
inference(superposition,[status(thm)],[c_12098,c_89]) ).
tcf(c_27517,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_12098,c_64]) ).
tcf(c_27518,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_12098,c_62]) ).
tcf(c_27519,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(superposition,[status(thm)],[c_12098,c_66]) ).
tcf(c_27520,plain,
( sdtlseqdt0(sz10,sK6)
| ( sK9(sz10,sK6) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(sz10,sK6)) ),
inference(superposition,[status(thm)],[c_12098,c_84]) ).
tcf(c_27521,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(X0,sK9(sz10,sK6)))
| ( X0 = sz10 )
| ( sK9(sz10,sK6) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,sK6)) ),
inference(superposition,[status(thm)],[c_12098,c_88]) ).
tcf(c_27522,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK9(sz10,sK6) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ( sdtasdt0(sz10,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_12098,c_92]) ).
tcf(c_27523,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK9(sz10,sK6) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ sdtlseqdt0(sK9(sz10,sK6),X0) ),
inference(superposition,[status(thm)],[c_12098,c_86]) ).
tcf(c_27524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK6)
| ( sz00 = sz10 )
| ( sK9(sz10,sK6) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ sdtlseqdt0(X0,sK9(sz10,sK6)) ),
inference(superposition,[status(thm)],[c_12098,c_86]) ).
tcf(c_27525,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,sK6) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ( sdtasdt0(X0,sK9(sz10,sK6)) != sK6 ) ),
inference(superposition,[status(thm)],[c_12098,c_93]) ).
tcf(c_27526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,sK6)),sK6)
| ( X0 = sz10 )
| ( sK9(sz10,sK6) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,sK6)) ),
inference(superposition,[status(thm)],[c_12098,c_88]) ).
tcf(c_27527,plain,
( sdtlseqdt0(sz10,sK6)
| ( sK9(sz10,sK6) = sz00 )
| ~ aNaturalNumber0(sK9(sz10,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27520,c_102]) ).
tcf(c_27531,plain,
( ( sK9(sz10,sK6) = sz00 )
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ( sz00 != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27513,c_103,c_102]) ).
tcf(c_27535,plain,
! [X0: $i] :
( ( sK9(sz10,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ( sdtasdt0(sz10,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27522,c_103,c_102]) ).
tcf(c_27540,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ( sdtasdt0(X0,sK9(sz10,sK6)) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27525,c_102]) ).
tcf(c_27546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,sK6)),sK6)
| ( X0 = sz10 )
| ( sK9(sz10,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27526,c_102]) ).
tcf(c_27553,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sK6)
| ( sK9(sz10,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ sdtlseqdt0(X0,sK9(sz10,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27524,c_103,c_102]) ).
tcf(c_27559,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(sz10,X0))
| ( sK9(sz10,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ sdtlseqdt0(sK9(sz10,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27523,c_103,c_102]) ).
tcf(c_27565,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtasdt0(X0,sK9(sz10,sK6)))
| ( X0 = sz10 )
| ( sK9(sz10,sK6) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27521,c_102]) ).
tcf(c_27572,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27519,c_102]) ).
tcf(c_27581,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27518,c_102]) ).
tcf(c_27590,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,sK6),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27510,c_102]) ).
tcf(c_27599,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27517,c_102]) ).
tcf(c_27608,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,sK6),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27509,c_102]) ).
tcf(c_27617,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,sK6),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sK6))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sK6)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27508,c_102]) ).
tcf(c_27655,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,xp),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_12099,c_64]) ).
tcf(c_27656,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,xp),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_12099,c_62]) ).
tcf(c_27657,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,xp),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_12099,c_66]) ).
tcf(c_27664,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_12099,c_64]) ).
tcf(c_27665,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_12099,c_62]) ).
tcf(c_27666,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(superposition,[status(thm)],[c_12099,c_66]) ).
tcf(c_27668,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK9(sz10,xp)))
| ( X0 = sz10 )
| ( sK9(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,xp)) ),
inference(superposition,[status(thm)],[c_12099,c_88]) ).
tcf(c_27669,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK9(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_12099,c_92]) ).
tcf(c_27670,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK9(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ sdtlseqdt0(sK9(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_12099,c_86]) ).
tcf(c_27671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sz00 = sz10 )
| ( sK9(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ sdtlseqdt0(X0,sK9(sz10,xp)) ),
inference(superposition,[status(thm)],[c_12099,c_86]) ).
tcf(c_27672,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ( sdtasdt0(X0,sK9(sz10,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_12099,c_93]) ).
tcf(c_27673,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,xp)),xp)
| ( X0 = sz10 )
| ( sK9(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,xp)) ),
inference(superposition,[status(thm)],[c_12099,c_88]) ).
tcf(c_27674,plain,
! [X0: $i] :
( ( sK9(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27669,c_103,c_102]) ).
tcf(c_27679,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ( sdtasdt0(X0,sK9(sz10,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27672,c_102]) ).
tcf(c_27685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,xp)),xp)
| ( X0 = sz10 )
| ( sK9(sz10,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27673,c_102]) ).
tcf(c_27692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sK9(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ sdtlseqdt0(X0,sK9(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27671,c_103,c_102]) ).
tcf(c_27698,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sK9(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ sdtlseqdt0(sK9(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27670,c_103,c_102]) ).
tcf(c_27704,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK9(sz10,xp)))
| ( X0 = sz10 )
| ( sK9(sz10,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27668,c_102]) ).
tcf(c_27711,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27666,c_102]) ).
tcf(c_27720,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27665,c_102]) ).
tcf(c_27729,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27657,c_102]) ).
tcf(c_27738,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27664,c_102]) ).
tcf(c_27747,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,xp),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27656,c_102]) ).
tcf(c_27756,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,xp),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27655,c_102]) ).
tcf(c_27890,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,sdtpldt0(X0,X1))
| ( xn = xr )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,xr)
| ~ doDivides0(X2,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ doDivides0(sdtmndt0(xr,xn),X1)
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_105,c_14734]) ).
tcf(c_27891,plain,
! [X0: $i,X1: $i] :
( doDivides0(X1,sdtasdt0(sdtmndt0(xr,xn),X0))
| ( xn = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0)) ),
inference(superposition,[status(thm)],[c_209,c_14734]) ).
tcf(c_27986,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtasdt0(X0,sK9(X0,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xr)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_145,c_14735]) ).
tcf(c_27987,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtasdt0(X0,sK9(X0,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xr)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27986,c_79,c_49]) ).
tcf(c_28011,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,sdtpldt0(X0,X1))
| ( xn = xr )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,xr)
| ~ doDivides0(X2,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ doDivides0(sK8(xn,xr),X1)
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_105,c_14813]) ).
tcf(c_28012,plain,
! [X0: $i,X1: $i] :
( doDivides0(X1,sdtasdt0(sK8(xn,xr),X0))
| ( xn = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sK8(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_209,c_14813]) ).
tcf(c_28014,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sK8(xn,xr),xr)
| ~ doDivides0(sK8(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_13970,c_14813]) ).
tcf(c_28058,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtasdt0(X0,sK9(X0,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xr)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_111,c_14814]) ).
tcf(c_28059,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtasdt0(X0,sK9(X0,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xr)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28058,c_79,c_49]) ).
tcf(c_28099,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) ) ),
inference(global_subsumption_just,[status(thm)],[c_17131,c_10489,c_14998]) ).
tcf(c_28105,plain,
( aNaturalNumber0(sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xr) ),
inference(superposition,[status(thm)],[c_28099,c_111]) ).
tcf(c_28106,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz10 )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_14812]) ).
tcf(c_28107,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtasdt0(X0,sK9(X0,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28099,c_14814]) ).
tcf(c_28108,plain,
! [X0: $i,X1: $i] :
( doDivides0(X1,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_28099,c_14813]) ).
tcf(c_28109,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_14815]) ).
tcf(c_28110,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_17077]) ).
tcf(c_28111,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_18067]) ).
tcf(c_28112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_18020]) ).
tcf(c_28113,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_16980]) ).
tcf(c_28114,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_28099,c_16287]) ).
tcf(c_28115,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28099,c_16245]) ).
tcf(c_28116,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) != xr ) ),
inference(superposition,[status(thm)],[c_28099,c_15302]) ).
tcf(c_28117,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(X0,sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28099,c_14140]) ).
tcf(c_28118,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_13984]) ).
tcf(c_28120,plain,
( aNaturalNumber0(sdtmndt0(xr,xn))
| ( xn = xr )
| ~ sdtlseqdt0(xn,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28105,c_79,c_49]) ).
tcf(c_28217,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) != xr ) ),
inference(global_subsumption_just,[status(thm)],[c_28116,c_10489,c_15290,c_28120]) ).
tcf(c_28233,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,sK6),X0)
| ( sz00 = sK6 )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11872,c_65]) ).
tcf(c_28234,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,sK6),X0)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11872,c_63]) ).
tcf(c_28235,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,sK6),X0)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11872,c_67]) ).
tcf(c_28242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,sK6)),sK6)
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK6)) ),
inference(superposition,[status(thm)],[c_11872,c_109]) ).
tcf(c_28243,plain,
! [X0: $i] :
( doDivides0(X0,sK6)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ~ doDivides0(X0,sK8(sz10,sK6)) ),
inference(superposition,[status(thm)],[c_11872,c_105]) ).
tcf(c_28244,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,sK6))
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK6)) ),
inference(superposition,[status(thm)],[c_11872,c_104]) ).
tcf(c_28245,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sz10,X0))
| ( sz00 = sK6 )
| ( sK8(sz10,sK6) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ~ sdtlseqdt0(sK8(sz10,sK6),X0) ),
inference(superposition,[status(thm)],[c_11872,c_107]) ).
tcf(c_28246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sK6)
| ( sz00 = sK6 )
| ( sK8(sz10,sK6) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ~ sdtlseqdt0(X0,sK8(sz10,sK6)) ),
inference(superposition,[status(thm)],[c_11872,c_107]) ).
tcf(c_28247,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ( sdtpldt0(X0,sK8(sz10,sK6)) != sK6 ) ),
inference(superposition,[status(thm)],[c_11872,c_114]) ).
tcf(c_28248,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sK8(sz10,sK6)))
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sK6)) ),
inference(superposition,[status(thm)],[c_11872,c_109]) ).
tcf(c_28249,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( sK8(sz10,sK6) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ( sdtpldt0(sz10,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_11872,c_113]) ).
tcf(c_28250,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( sK8(sz10,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ( sdtpldt0(sz10,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28249,c_102]) ).
tcf(c_28256,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ( sdtpldt0(X0,sK8(sz10,sK6)) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28247,c_102]) ).
tcf(c_28262,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,sK6))
| ( sz00 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28244,c_102]) ).
tcf(c_28269,plain,
! [X0: $i] :
( doDivides0(X0,sK6)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ~ doDivides0(X0,sK8(sz10,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28243,c_102]) ).
tcf(c_28276,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sK8(sz10,sK6)))
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28248,c_102]) ).
tcf(c_28283,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,sK6)),sK6)
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28242,c_102]) ).
tcf(c_28290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sK6)
| ( sz00 = sK6 )
| ( sK8(sz10,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ~ sdtlseqdt0(X0,sK8(sz10,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28246,c_102]) ).
tcf(c_28297,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sz10,X0))
| ( sz00 = sK6 )
| ( sK8(sz10,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ~ sdtlseqdt0(sK8(sz10,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28245,c_102]) ).
tcf(c_28304,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,sK6),X0)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28235,c_102]) ).
tcf(c_28313,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,sK6),X0)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28234,c_102]) ).
tcf(c_28322,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,sK6),X0)
| ( sz00 = sK6 )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,sK6))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28233,c_102]) ).
tcf(c_28341,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,xm),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_12100,c_64]) ).
tcf(c_28342,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_12100,c_62]) ).
tcf(c_28343,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,xm),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_12100,c_66]) ).
tcf(c_28346,plain,
( ( sz00 = sz10 )
| ( sK9(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_12100,c_89]) ).
tcf(c_28350,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_12100,c_64]) ).
tcf(c_28351,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_12100,c_62]) ).
tcf(c_28352,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(superposition,[status(thm)],[c_12100,c_66]) ).
tcf(c_28353,plain,
( sdtlseqdt0(sz10,xm)
| ( sK9(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(sz10,xm)) ),
inference(superposition,[status(thm)],[c_12100,c_84]) ).
tcf(c_28354,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK9(sz10,xm)))
| ( X0 = sz10 )
| ( sK9(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,xm)) ),
inference(superposition,[status(thm)],[c_12100,c_88]) ).
tcf(c_28355,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK9(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_12100,c_92]) ).
tcf(c_28356,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK9(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ sdtlseqdt0(sK9(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_12100,c_86]) ).
tcf(c_28357,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sz00 = sz10 )
| ( sK9(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ sdtlseqdt0(X0,sK9(sz10,xm)) ),
inference(superposition,[status(thm)],[c_12100,c_86]) ).
tcf(c_28358,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ( sdtasdt0(X0,sK9(sz10,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_12100,c_93]) ).
tcf(c_28359,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,xm)),xm)
| ( X0 = sz10 )
| ( sK9(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,xm)) ),
inference(superposition,[status(thm)],[c_12100,c_88]) ).
tcf(c_28360,plain,
( sdtlseqdt0(sz10,xm)
| ( sK9(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sK9(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28353,c_102]) ).
tcf(c_28364,plain,
( ( sK9(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sK9(sz10,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28346,c_103,c_102]) ).
tcf(c_28368,plain,
! [X0: $i] :
( ( sK9(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28355,c_103,c_102]) ).
tcf(c_28373,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ( sdtasdt0(X0,sK9(sz10,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28358,c_102]) ).
tcf(c_28379,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,xm)),xm)
| ( X0 = sz10 )
| ( sK9(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28359,c_102]) ).
tcf(c_28386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sK9(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ sdtlseqdt0(X0,sK9(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28357,c_103,c_102]) ).
tcf(c_28392,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sK9(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ sdtlseqdt0(sK9(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28356,c_103,c_102]) ).
tcf(c_28398,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK9(sz10,xm)))
| ( X0 = sz10 )
| ( sK9(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28354,c_102]) ).
tcf(c_28405,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28352,c_102]) ).
tcf(c_28414,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28351,c_102]) ).
tcf(c_28423,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28343,c_102]) ).
tcf(c_28432,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28350,c_102]) ).
tcf(c_28441,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,xm),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28342,c_102]) ).
tcf(c_28450,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,xm),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xm))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28341,c_102]) ).
tcf(c_28467,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,xn),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_12101,c_64]) ).
tcf(c_28468,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,xn),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_12101,c_62]) ).
tcf(c_28469,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,xn),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_12101,c_66]) ).
tcf(c_28476,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_12101,c_64]) ).
tcf(c_28477,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_12101,c_62]) ).
tcf(c_28478,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(superposition,[status(thm)],[c_12101,c_66]) ).
tcf(c_28480,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK9(sz10,xn)))
| ( X0 = sz10 )
| ( sK9(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,xn)) ),
inference(superposition,[status(thm)],[c_12101,c_88]) ).
tcf(c_28481,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK9(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_12101,c_92]) ).
tcf(c_28482,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK9(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ sdtlseqdt0(sK9(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_12101,c_86]) ).
tcf(c_28483,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sz00 = sz10 )
| ( sK9(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ sdtlseqdt0(X0,sK9(sz10,xn)) ),
inference(superposition,[status(thm)],[c_12101,c_86]) ).
tcf(c_28484,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ( sdtasdt0(X0,sK9(sz10,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_12101,c_93]) ).
tcf(c_28485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,xn)),xn)
| ( X0 = sz10 )
| ( sK9(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,xn)) ),
inference(superposition,[status(thm)],[c_12101,c_88]) ).
tcf(c_28486,plain,
! [X0: $i] :
( ( sK9(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28481,c_103,c_102]) ).
tcf(c_28491,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ( sdtasdt0(X0,sK9(sz10,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28484,c_102]) ).
tcf(c_28497,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,xn)),xn)
| ( X0 = sz10 )
| ( sK9(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28485,c_102]) ).
tcf(c_28504,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sK9(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ sdtlseqdt0(X0,sK9(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28483,c_103,c_102]) ).
tcf(c_28510,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sK9(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ sdtlseqdt0(sK9(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28482,c_103,c_102]) ).
tcf(c_28516,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK9(sz10,xn)))
| ( X0 = sz10 )
| ( sK9(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28480,c_102]) ).
tcf(c_28523,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28478,c_102]) ).
tcf(c_28532,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28477,c_102]) ).
tcf(c_28541,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,xn),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28469,c_102]) ).
tcf(c_28550,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28476,c_102]) ).
tcf(c_28559,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,xn),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28468,c_102]) ).
tcf(c_28568,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,xn),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28467,c_102]) ).
tcf(c_28655,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xr,sz00),X0)
| ( sdtasdt0(X0,sK5(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK9(xr,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12102,c_64]) ).
tcf(c_28656,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xr,X0))
| sP1(sK9(xr,sz00),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK9(xr,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12102,c_62]) ).
tcf(c_28657,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK9(xr,sz00),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK9(xr,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12102,c_66]) ).
tcf(c_28660,plain,
( ( sz00 = xr )
| ( sK9(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK9(xr,sz00)) ),
inference(superposition,[status(thm)],[c_12102,c_89]) ).
tcf(c_28664,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK5(X0,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12102,c_64]) ).
tcf(c_28665,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK5(X0,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12102,c_62]) ).
tcf(c_28666,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12102,c_66]) ).
tcf(c_28667,plain,
( sdtlseqdt0(xr,sz00)
| ( sK9(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK9(xr,sz00)) ),
inference(superposition,[status(thm)],[c_12102,c_84]) ).
tcf(c_28668,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(xr,sz00)))
| ( X0 = xr )
| ( sK9(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK9(xr,sz00)) ),
inference(superposition,[status(thm)],[c_12102,c_88]) ).
tcf(c_28669,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK9(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12102,c_92]) ).
tcf(c_28670,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK9(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ sdtlseqdt0(sK9(xr,sz00),X0) ),
inference(superposition,[status(thm)],[c_12102,c_86]) ).
tcf(c_28671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( sK9(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ sdtlseqdt0(X0,sK9(xr,sz00)) ),
inference(superposition,[status(thm)],[c_12102,c_86]) ).
tcf(c_28672,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK9(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ( sdtasdt0(X0,sK9(xr,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12102,c_93]) ).
tcf(c_28673,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xr,sz00)),sz00)
| ( X0 = xr )
| ( sK9(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK9(xr,sz00)) ),
inference(superposition,[status(thm)],[c_12102,c_88]) ).
tcf(c_28674,plain,
( sdtlseqdt0(xr,sz00)
| ( sK9(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sK9(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28667,c_79]) ).
tcf(c_28678,plain,
( ( sz00 = xr )
| ( sK9(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sK9(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28660,c_79]) ).
tcf(c_28682,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK9(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28669,c_79]) ).
tcf(c_28688,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK9(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ( sdtasdt0(X0,sK9(xr,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28672,c_79]) ).
tcf(c_28694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xr,sz00)),sz00)
| ( X0 = xr )
| ( sK9(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK9(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28673,c_79]) ).
tcf(c_28701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( sK9(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ sdtlseqdt0(X0,sK9(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28671,c_79]) ).
tcf(c_28708,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK9(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ sdtlseqdt0(sK9(xr,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28670,c_79]) ).
tcf(c_28715,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(xr,sz00)))
| ( X0 = xr )
| ( sK9(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK9(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28668,c_79]) ).
tcf(c_28722,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| doDivides0(xr,X0)
| sP1(X1,xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28666,c_79]) ).
tcf(c_28731,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| aNaturalNumber0(sK5(X0,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28665,c_79]) ).
tcf(c_28740,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sK9(xr,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK9(xr,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28657,c_79]) ).
tcf(c_28749,plain,
! [X0: $i,X1: $i] :
( sP0(xr)
| sP1(X1,xr)
| ( sdtasdt0(xr,sK5(X0,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28664,c_79]) ).
tcf(c_28758,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xr,X0))
| sP1(sK9(xr,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK9(xr,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28656,c_79]) ).
tcf(c_28767,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xr,sz00),X0)
| ( sdtasdt0(X0,sK5(xr,X0)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xr,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,sK9(xr,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28655,c_79]) ).
tcf(c_28781,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sK7,sz00),X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sK9(sK7,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12103,c_64]) ).
tcf(c_28782,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK7,X0))
| sP1(sK9(sK7,sz00),X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sK9(sK7,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12103,c_62]) ).
tcf(c_28783,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sK9(sK7,sz00),X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sK9(sK7,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12103,c_66]) ).
tcf(c_28786,plain,
( ( sz00 = sK7 )
| ( sK9(sK7,sz00) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sK9(sK7,sz00)) ),
inference(superposition,[status(thm)],[c_12103,c_89]) ).
tcf(c_28790,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| ( sdtasdt0(sK7,sK5(X0,sK7)) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12103,c_64]) ).
tcf(c_28791,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| aNaturalNumber0(sK5(X0,sK7))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12103,c_62]) ).
tcf(c_28792,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| doDivides0(sK7,X0)
| sP1(X1,sK7)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12103,c_66]) ).
tcf(c_28793,plain,
( sdtlseqdt0(sK7,sz00)
| ( sK9(sK7,sz00) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sK9(sK7,sz00)) ),
inference(superposition,[status(thm)],[c_12103,c_84]) ).
tcf(c_28794,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(sK7,sz00)))
| ( X0 = sK7 )
| ( sK9(sK7,sz00) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0)
| ~ aNaturalNumber0(sK9(sK7,sz00)) ),
inference(superposition,[status(thm)],[c_12103,c_88]) ).
tcf(c_28795,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( sK9(sK7,sz00) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ( sdtasdt0(sK7,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12103,c_92]) ).
tcf(c_28796,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK7,X0))
| ( sz00 = sK7 )
| ( sK9(sK7,sz00) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ sdtlseqdt0(sK9(sK7,sz00),X0) ),
inference(superposition,[status(thm)],[c_12103,c_86]) ).
tcf(c_28797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK7,X0),sz00)
| ( sz00 = sK7 )
| ( sK9(sK7,sz00) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ sdtlseqdt0(X0,sK9(sK7,sz00)) ),
inference(superposition,[status(thm)],[c_12103,c_86]) ).
tcf(c_28798,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ( sK9(sK7,sz00) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ( sdtasdt0(X0,sK9(sK7,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12103,c_93]) ).
tcf(c_28799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sK7,sz00)),sz00)
| ( X0 = sK7 )
| ( sK9(sK7,sz00) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(sK9(sK7,sz00)) ),
inference(superposition,[status(thm)],[c_12103,c_88]) ).
tcf(c_28800,plain,
( sdtlseqdt0(sK7,sz00)
| ( sK9(sK7,sz00) = sz00 )
| ~ aNaturalNumber0(sK9(sK7,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28793,c_76]) ).
tcf(c_28804,plain,
( ( sz00 = sK7 )
| ( sK9(sK7,sz00) = sz00 )
| ~ aNaturalNumber0(sK9(sK7,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28786,c_76]) ).
tcf(c_28808,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( sK9(sK7,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ( sdtasdt0(sK7,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28795,c_76]) ).
tcf(c_28814,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ( sK9(sK7,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ( sdtasdt0(X0,sK9(sK7,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28798,c_76]) ).
tcf(c_28820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sK7,sz00)),sz00)
| ( X0 = sK7 )
| ( sK9(sK7,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(sK9(sK7,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28799,c_76]) ).
tcf(c_28827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK7,X0),sz00)
| ( sz00 = sK7 )
| ( sK9(sK7,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ sdtlseqdt0(X0,sK9(sK7,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28797,c_76]) ).
tcf(c_28834,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK7,X0))
| ( sz00 = sK7 )
| ( sK9(sK7,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ sdtlseqdt0(sK9(sK7,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28796,c_76]) ).
tcf(c_28841,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(sK7,sz00)))
| ( X0 = sK7 )
| ( sK9(sK7,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0)
| ~ aNaturalNumber0(sK9(sK7,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28794,c_76]) ).
tcf(c_28848,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| doDivides0(sK7,X0)
| sP1(X1,sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28792,c_76]) ).
tcf(c_28857,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| aNaturalNumber0(sK5(X0,sK7))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28791,c_76]) ).
tcf(c_28866,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sK9(sK7,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sK9(sK7,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28783,c_76]) ).
tcf(c_28875,plain,
! [X0: $i,X1: $i] :
( sP0(sK7)
| sP1(X1,sK7)
| ( sdtasdt0(sK7,sK5(X0,sK7)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK7),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28790,c_76]) ).
tcf(c_28884,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK7,X0))
| sP1(sK9(sK7,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sK9(sK7,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28782,c_76]) ).
tcf(c_28893,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sK7,sz00),X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK7,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK7,sK9(sK7,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28781,c_76]) ).
tcf(c_29007,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sK6,sz00),X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sK9(sK6,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12104,c_64]) ).
tcf(c_29008,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK6,X0))
| sP1(sK9(sK6,sz00),X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sK9(sK6,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12104,c_62]) ).
tcf(c_29009,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sK9(sK6,sz00),X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sK9(sK6,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12104,c_66]) ).
tcf(c_29012,plain,
( ( sz00 = sK6 )
| ( sK9(sK6,sz00) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK9(sK6,sz00)) ),
inference(superposition,[status(thm)],[c_12104,c_89]) ).
tcf(c_29016,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| ( sdtasdt0(sK6,sK5(X0,sK6)) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12104,c_64]) ).
tcf(c_29017,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| aNaturalNumber0(sK5(X0,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12104,c_62]) ).
tcf(c_29018,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| doDivides0(sK6,X0)
| sP1(X1,sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12104,c_66]) ).
tcf(c_29019,plain,
( sdtlseqdt0(sK6,sz00)
| ( sK9(sK6,sz00) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK9(sK6,sz00)) ),
inference(superposition,[status(thm)],[c_12104,c_84]) ).
tcf(c_29020,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(sK6,sz00)))
| ( X0 = sK6 )
| ( sK9(sK6,sz00) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0)
| ~ aNaturalNumber0(sK9(sK6,sz00)) ),
inference(superposition,[status(thm)],[c_12104,c_88]) ).
tcf(c_29021,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( sK9(sK6,sz00) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ( sdtasdt0(sK6,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12104,c_92]) ).
tcf(c_29022,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK6,X0))
| ( sz00 = sK6 )
| ( sK9(sK6,sz00) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ sdtlseqdt0(sK9(sK6,sz00),X0) ),
inference(superposition,[status(thm)],[c_12104,c_86]) ).
tcf(c_29023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6,X0),sz00)
| ( sz00 = sK6 )
| ( sK9(sK6,sz00) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ sdtlseqdt0(X0,sK9(sK6,sz00)) ),
inference(superposition,[status(thm)],[c_12104,c_86]) ).
tcf(c_29024,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ( sK9(sK6,sz00) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ( sdtasdt0(X0,sK9(sK6,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12104,c_93]) ).
tcf(c_29025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sK6,sz00)),sz00)
| ( X0 = sK6 )
| ( sK9(sK6,sz00) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(sK9(sK6,sz00)) ),
inference(superposition,[status(thm)],[c_12104,c_88]) ).
tcf(c_29026,plain,
( sdtlseqdt0(sK6,sz00)
| ( sK9(sK6,sz00) = sz00 )
| ~ aNaturalNumber0(sK9(sK6,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29019,c_73]) ).
tcf(c_29030,plain,
( ( sz00 = sK6 )
| ( sK9(sK6,sz00) = sz00 )
| ~ aNaturalNumber0(sK9(sK6,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29012,c_73]) ).
tcf(c_29034,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( sK9(sK6,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ( sdtasdt0(sK6,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29021,c_73]) ).
tcf(c_29040,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ( sK9(sK6,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ( sdtasdt0(X0,sK9(sK6,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29024,c_73]) ).
tcf(c_29046,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sK6,sz00)),sz00)
| ( X0 = sK6 )
| ( sK9(sK6,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(sK9(sK6,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29025,c_73]) ).
tcf(c_29053,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sK6,X0),sz00)
| ( sz00 = sK6 )
| ( sK9(sK6,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ sdtlseqdt0(X0,sK9(sK6,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29023,c_73]) ).
tcf(c_29060,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sK6,X0))
| ( sz00 = sK6 )
| ( sK9(sK6,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ sdtlseqdt0(sK9(sK6,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29022,c_73]) ).
tcf(c_29067,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(sK6,sz00)))
| ( X0 = sK6 )
| ( sK9(sK6,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0)
| ~ aNaturalNumber0(sK9(sK6,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29020,c_73]) ).
tcf(c_29074,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| doDivides0(sK6,X0)
| sP1(X1,sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29018,c_73]) ).
tcf(c_29083,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| aNaturalNumber0(sK5(X0,sK6))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29017,c_73]) ).
tcf(c_29092,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sK9(sK6,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sK9(sK6,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29009,c_73]) ).
tcf(c_29101,plain,
! [X0: $i,X1: $i] :
( sP0(sK6)
| sP1(X1,sK6)
| ( sdtasdt0(sK6,sK5(X0,sK6)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sK6),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29016,c_73]) ).
tcf(c_29110,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK6,X0))
| sP1(sK9(sK6,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sK9(sK6,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29008,c_73]) ).
tcf(c_29119,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sK6,sz00),X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sK6,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sK6,sK9(sK6,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29007,c_73]) ).
tcf(c_29133,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xp,sz00),X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK9(xp,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12105,c_64]) ).
tcf(c_29134,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sK9(xp,sz00),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK9(xp,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12105,c_62]) ).
tcf(c_29135,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK9(xp,sz00),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK9(xp,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12105,c_66]) ).
tcf(c_29138,plain,
( ( xp = sz00 )
| ( sK9(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK9(xp,sz00)) ),
inference(superposition,[status(thm)],[c_12105,c_89]) ).
tcf(c_29142,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK5(X0,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12105,c_64]) ).
tcf(c_29143,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK5(X0,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12105,c_62]) ).
tcf(c_29144,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12105,c_66]) ).
tcf(c_29145,plain,
( sdtlseqdt0(xp,sz00)
| ( sK9(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK9(xp,sz00)) ),
inference(superposition,[status(thm)],[c_12105,c_84]) ).
tcf(c_29146,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(xp,sz00)))
| ( X0 = xp )
| ( sK9(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK9(xp,sz00)) ),
inference(superposition,[status(thm)],[c_12105,c_88]) ).
tcf(c_29147,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sK9(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12105,c_92]) ).
tcf(c_29148,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sK9(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ sdtlseqdt0(sK9(xp,sz00),X0) ),
inference(superposition,[status(thm)],[c_12105,c_86]) ).
tcf(c_29149,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( xp = sz00 )
| ( sK9(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ sdtlseqdt0(X0,sK9(xp,sz00)) ),
inference(superposition,[status(thm)],[c_12105,c_86]) ).
tcf(c_29150,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK9(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ( sdtasdt0(X0,sK9(xp,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12105,c_93]) ).
tcf(c_29151,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK9(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK9(xp,sz00)) ),
inference(superposition,[status(thm)],[c_12105,c_88]) ).
tcf(c_29152,plain,
( ( sK9(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK9(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29145,c_12261,c_51]) ).
tcf(c_29156,plain,
! [X0: $i] :
( ( sK9(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29147,c_68,c_51]) ).
tcf(c_29161,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK9(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ( sdtasdt0(X0,sK9(xp,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29150,c_51]) ).
tcf(c_29167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK9(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK9(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29151,c_51]) ).
tcf(c_29174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sK9(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ sdtlseqdt0(X0,sK9(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29149,c_68,c_51]) ).
tcf(c_29180,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sK9(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ sdtlseqdt0(sK9(xp,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29148,c_68,c_51]) ).
tcf(c_29186,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(xp,sz00)))
| ( X0 = xp )
| ( sK9(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK9(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29146,c_51]) ).
tcf(c_29193,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| doDivides0(xp,X0)
| sP1(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29144,c_51]) ).
tcf(c_29202,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| aNaturalNumber0(sK5(X0,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29143,c_51]) ).
tcf(c_29211,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sK9(xp,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK9(xp,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29135,c_51]) ).
tcf(c_29220,plain,
! [X0: $i,X1: $i] :
( sP0(xp)
| sP1(X1,xp)
| ( sdtasdt0(xp,sK5(X0,xp)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29142,c_51]) ).
tcf(c_29229,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sK9(xp,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK9(xp,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29134,c_51]) ).
tcf(c_29238,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xp,sz00),X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xp,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,sK9(xp,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29133,c_51]) ).
tcf(c_29250,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xm,sz00),X0)
| ( sdtasdt0(X0,sK5(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9(xm,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12106,c_64]) ).
tcf(c_29251,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xm,X0))
| sP1(sK9(xm,sz00),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9(xm,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12106,c_62]) ).
tcf(c_29252,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK9(xm,sz00),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9(xm,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12106,c_66]) ).
tcf(c_29255,plain,
( ( xm = sz00 )
| ( sK9(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK9(xm,sz00)) ),
inference(superposition,[status(thm)],[c_12106,c_89]) ).
tcf(c_29259,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK5(X0,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12106,c_64]) ).
tcf(c_29260,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK5(X0,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12106,c_62]) ).
tcf(c_29261,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12106,c_66]) ).
tcf(c_29262,plain,
( sdtlseqdt0(xm,sz00)
| ( sK9(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK9(xm,sz00)) ),
inference(superposition,[status(thm)],[c_12106,c_84]) ).
tcf(c_29263,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(xm,sz00)))
| ( X0 = xm )
| ( sK9(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK9(xm,sz00)) ),
inference(superposition,[status(thm)],[c_12106,c_88]) ).
tcf(c_29264,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK9(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12106,c_92]) ).
tcf(c_29265,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK9(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ sdtlseqdt0(sK9(xm,sz00),X0) ),
inference(superposition,[status(thm)],[c_12106,c_86]) ).
tcf(c_29266,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sK9(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ sdtlseqdt0(X0,sK9(xm,sz00)) ),
inference(superposition,[status(thm)],[c_12106,c_86]) ).
tcf(c_29267,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK9(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ( sdtasdt0(X0,sK9(xm,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12106,c_93]) ).
tcf(c_29268,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK9(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK9(xm,sz00)) ),
inference(superposition,[status(thm)],[c_12106,c_88]) ).
tcf(c_29269,plain,
( sdtlseqdt0(xm,sz00)
| ( sK9(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK9(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29262,c_50]) ).
tcf(c_29273,plain,
( ( xm = sz00 )
| ( sK9(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK9(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29255,c_50]) ).
tcf(c_29277,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK9(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29264,c_50]) ).
tcf(c_29283,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK9(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ( sdtasdt0(X0,sK9(xm,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29267,c_50]) ).
tcf(c_29289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK9(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK9(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29268,c_50]) ).
tcf(c_29296,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sK9(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ sdtlseqdt0(X0,sK9(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29266,c_50]) ).
tcf(c_29303,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK9(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ sdtlseqdt0(sK9(xm,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29265,c_50]) ).
tcf(c_29310,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(xm,sz00)))
| ( X0 = xm )
| ( sK9(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK9(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29263,c_50]) ).
tcf(c_29317,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| doDivides0(xm,X0)
| sP1(X1,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29261,c_50]) ).
tcf(c_29326,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| aNaturalNumber0(sK5(X0,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29260,c_50]) ).
tcf(c_29335,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sK9(xm,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9(xm,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29252,c_50]) ).
tcf(c_29344,plain,
! [X0: $i,X1: $i] :
( sP0(xm)
| sP1(X1,xm)
| ( sdtasdt0(xm,sK5(X0,xm)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xm),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29259,c_50]) ).
tcf(c_29353,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xm,X0))
| sP1(sK9(xm,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9(xm,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29251,c_50]) ).
tcf(c_29362,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xm,sz00),X0)
| ( sdtasdt0(X0,sK5(xm,X0)) = xm )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xm,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xm,sK9(xm,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29250,c_50]) ).
tcf(c_29395,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xn,sz00),X0)
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12107,c_64]) ).
tcf(c_29396,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sK9(xn,sz00),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12107,c_62]) ).
tcf(c_29397,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK9(xn,sz00),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12107,c_66]) ).
tcf(c_29400,plain,
( ( xn = sz00 )
| ( sK9(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK9(xn,sz00)) ),
inference(superposition,[status(thm)],[c_12107,c_89]) ).
tcf(c_29404,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK5(X0,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12107,c_64]) ).
tcf(c_29405,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK5(X0,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12107,c_62]) ).
tcf(c_29406,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12107,c_66]) ).
tcf(c_29407,plain,
( sdtlseqdt0(xn,sz00)
| ( sK9(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK9(xn,sz00)) ),
inference(superposition,[status(thm)],[c_12107,c_84]) ).
tcf(c_29408,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(xn,sz00)))
| ( X0 = xn )
| ( sK9(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK9(xn,sz00)) ),
inference(superposition,[status(thm)],[c_12107,c_88]) ).
tcf(c_29409,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK9(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12107,c_92]) ).
tcf(c_29410,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK9(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ sdtlseqdt0(sK9(xn,sz00),X0) ),
inference(superposition,[status(thm)],[c_12107,c_86]) ).
tcf(c_29411,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sK9(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ sdtlseqdt0(X0,sK9(xn,sz00)) ),
inference(superposition,[status(thm)],[c_12107,c_86]) ).
tcf(c_29412,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK9(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ( sdtasdt0(X0,sK9(xn,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12107,c_93]) ).
tcf(c_29413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK9(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK9(xn,sz00)) ),
inference(superposition,[status(thm)],[c_12107,c_88]) ).
tcf(c_29414,plain,
( ( sK9(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK9(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29407,c_12265,c_49]) ).
tcf(c_29418,plain,
! [X0: $i] :
( ( sK9(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29409,c_11487,c_49]) ).
tcf(c_29423,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK9(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ( sdtasdt0(X0,sK9(xn,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29412,c_49]) ).
tcf(c_29429,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK9(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK9(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29413,c_49]) ).
tcf(c_29436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( sK9(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ sdtlseqdt0(X0,sK9(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29411,c_11487,c_49]) ).
tcf(c_29442,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( sK9(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ sdtlseqdt0(sK9(xn,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29410,c_11487,c_49]) ).
tcf(c_29448,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(xn,sz00)))
| ( X0 = xn )
| ( sK9(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK9(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29408,c_49]) ).
tcf(c_29455,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29406,c_49]) ).
tcf(c_29464,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK5(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29405,c_49]) ).
tcf(c_29473,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK9(xn,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29397,c_49]) ).
tcf(c_29482,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK5(X0,xn)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29404,c_49]) ).
tcf(c_29491,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sK9(xn,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29396,c_49]) ).
tcf(c_29500,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xn,sz00),X0)
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29395,c_49]) ).
tcf(c_29512,plain,
( sdtlseqdt0(xp,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xp,xn)
| ~ sdtlseqdt0(xn,sz10) ),
inference(instantiation,[status(thm)],[c_12433]) ).
tcf(c_29544,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtmndt0(xr,xn)) ),
inference(global_subsumption_just,[status(thm)],[c_28117,c_10489,c_14126,c_28120]) ).
tcf(c_29568,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(global_subsumption_just,[status(thm)],[c_28118,c_10489,c_13970,c_28120]) ).
tcf(c_29588,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(global_subsumption_just,[status(thm)],[c_28111,c_10489,c_18053,c_28120]) ).
tcf(c_29601,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_29588,c_141]) ).
tcf(c_29602,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_29588,c_146]) ).
tcf(c_29603,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr) ),
inference(superposition,[status(thm)],[c_29588,c_142]) ).
tcf(c_29604,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_29588,c_112]) ).
tcf(c_29605,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_29588,c_120]) ).
tcf(c_29606,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29601,c_79]) ).
tcf(c_29615,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29605,c_79]) ).
tcf(c_29623,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29604,c_79]) ).
tcf(c_29630,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29603,c_79]) ).
tcf(c_29638,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29602,c_79]) ).
tcf(c_29645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(global_subsumption_just,[status(thm)],[c_28112,c_10489,c_18006,c_28120]) ).
tcf(c_29659,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( X1 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(X1,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_29645,c_141]) ).
tcf(c_29660,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sdtmndt0(xr,xn)),sdtmndt0(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_29645,c_146]) ).
tcf(c_29661,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_29645,c_142]) ).
tcf(c_29662,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sdtmndt0(xr,xn)),sK8(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_29645,c_112]) ).
tcf(c_29663,plain,
! [X0: $i] :
( iLess0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_29645,c_120]) ).
tcf(c_29664,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( X1 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(X1,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29659,c_79]) ).
tcf(c_29673,plain,
! [X0: $i] :
( iLess0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29663,c_79]) ).
tcf(c_29681,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sdtmndt0(xr,xn)),sK8(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29662,c_79]) ).
tcf(c_29688,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29661,c_79]) ).
tcf(c_29696,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(sdtpldt0(X0,sdtmndt0(xr,xn)),sdtmndt0(xr,sdtpldt0(X0,sdtmndt0(xr,xn)))) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29660,c_79]) ).
tcf(c_29719,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0)) ),
inference(superposition,[status(thm)],[c_84,c_28114]) ).
tcf(c_29721,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0)) ),
inference(superposition,[status(thm)],[c_212,c_28114]) ).
tcf(c_29724,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_12933,c_28114]) ).
tcf(c_29725,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),xr)
| ~ doDivides0(sdtmndt0(xr,xn),xn) ),
inference(superposition,[status(thm)],[c_14736,c_28114]) ).
tcf(c_29729,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_28114]) ).
tcf(c_29730,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29724,c_79]) ).
tcf(c_29783,plain,
( sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_99,c_28115]) ).
tcf(c_29786,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_12933,c_28115]) ).
tcf(c_29787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_14736,c_28115]) ).
tcf(c_29791,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29786,c_49]) ).
tcf(c_29798,plain,
( sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29783,c_102]) ).
tcf(c_29849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(global_subsumption_just,[status(thm)],[c_23857,c_10489,c_23857,c_28120]) ).
tcf(c_29870,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(superposition,[status(thm)],[c_29849,c_141]) ).
tcf(c_29871,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_29849,c_146]) ).
tcf(c_29872,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_29849,c_142]) ).
tcf(c_29873,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_29849,c_112]) ).
tcf(c_29874,plain,
! [X0: $i] :
( iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_29849,c_120]) ).
tcf(c_29875,plain,
! [X0: $i] :
( iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29874,c_79]) ).
tcf(c_29885,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29873,c_79]) ).
tcf(c_29894,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29872,c_79]) ).
tcf(c_29904,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29871,c_79]) ).
tcf(c_29913,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29870,c_79]) ).
tcf(c_29932,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,xm),X0)
| ( xm = sz00 )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11875,c_65]) ).
tcf(c_29933,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,xm),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11875,c_63]) ).
tcf(c_29934,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,xm),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11875,c_67]) ).
tcf(c_29941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,xm)),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xm)) ),
inference(superposition,[status(thm)],[c_11875,c_109]) ).
tcf(c_29942,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ~ doDivides0(X0,sK8(sz10,xm)) ),
inference(superposition,[status(thm)],[c_11875,c_105]) ).
tcf(c_29943,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,xm))
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK8(sz10,xm)) ),
inference(superposition,[status(thm)],[c_11875,c_104]) ).
tcf(c_29944,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz10,X0))
| ( xm = sz00 )
| ( sK8(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ~ sdtlseqdt0(sK8(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_11875,c_107]) ).
tcf(c_29945,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xm)
| ( xm = sz00 )
| ( sK8(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ~ sdtlseqdt0(X0,sK8(sz10,xm)) ),
inference(superposition,[status(thm)],[c_11875,c_107]) ).
tcf(c_29946,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ( sdtpldt0(X0,sK8(sz10,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_11875,c_114]) ).
tcf(c_29947,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK8(sz10,xm)))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,xm)) ),
inference(superposition,[status(thm)],[c_11875,c_109]) ).
tcf(c_29948,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK8(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ( sdtpldt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_11875,c_113]) ).
tcf(c_29949,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK8(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ( sdtpldt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29948,c_102]) ).
tcf(c_29955,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ( sdtpldt0(X0,sK8(sz10,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29946,c_102]) ).
tcf(c_29961,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz10,xm))
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK8(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29943,c_102]) ).
tcf(c_29968,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ~ doDivides0(X0,sK8(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29942,c_102]) ).
tcf(c_29975,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK8(sz10,xm)))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK8(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29947,c_102]) ).
tcf(c_29982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz10,xm)),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK8(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29941,c_102]) ).
tcf(c_29989,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xm)
| ( xm = sz00 )
| ( sK8(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ~ sdtlseqdt0(X0,sK8(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29945,c_102]) ).
tcf(c_29996,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz10,X0))
| ( xm = sz00 )
| ( sK8(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ~ sdtlseqdt0(sK8(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29944,c_102]) ).
tcf(c_30003,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK8(sz10,xm),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29934,c_102]) ).
tcf(c_30012,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK8(sz10,xm),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29933,c_102]) ).
tcf(c_30021,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz10,xm),X0)
| ( xm = sz00 )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sz10,sK8(sz10,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29932,c_102]) ).
tcf(c_30071,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,sz00),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12108,c_64]) ).
tcf(c_30072,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,sz00),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12108,c_62]) ).
tcf(c_30073,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,sz00),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12108,c_66]) ).
tcf(c_30076,plain,
( ( sz00 = sz10 )
| ( sK9(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_12108,c_89]) ).
tcf(c_30080,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12108,c_64]) ).
tcf(c_30081,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12108,c_62]) ).
tcf(c_30082,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(superposition,[status(thm)],[c_12108,c_66]) ).
tcf(c_30083,plain,
( sdtlseqdt0(sz10,sz00)
| ( sK9(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK9(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_12108,c_84]) ).
tcf(c_30084,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(sz10,sz00)))
| ( X0 = sz10 )
| ( sK9(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_12108,c_88]) ).
tcf(c_30085,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK9(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12108,c_92]) ).
tcf(c_30086,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK9(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ sdtlseqdt0(sK9(sz10,sz00),X0) ),
inference(superposition,[status(thm)],[c_12108,c_86]) ).
tcf(c_30087,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sz00 = sz10 )
| ( sK9(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ sdtlseqdt0(X0,sK9(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_12108,c_86]) ).
tcf(c_30088,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ( sdtasdt0(X0,sK9(sz10,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12108,c_93]) ).
tcf(c_30089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,sz00)),sz00)
| ( X0 = sz10 )
| ( sK9(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_12108,c_88]) ).
tcf(c_30090,plain,
( ( sK9(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sK9(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30083,c_12251,c_102]) ).
tcf(c_30094,plain,
! [X0: $i] :
( ( sK9(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30085,c_103,c_102]) ).
tcf(c_30099,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK9(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ( sdtasdt0(X0,sK9(sz10,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30088,c_102]) ).
tcf(c_30105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(sz10,sz00)),sz00)
| ( X0 = sz10 )
| ( sK9(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK9(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30089,c_102]) ).
tcf(c_30112,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sK9(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ sdtlseqdt0(X0,sK9(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30087,c_103,c_102]) ).
tcf(c_30118,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sK9(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ sdtlseqdt0(sK9(sz10,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30086,c_103,c_102]) ).
tcf(c_30124,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK9(sz10,sz00)))
| ( X0 = sz10 )
| ( sK9(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK9(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30084,c_102]) ).
tcf(c_30131,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| doDivides0(sz10,X0)
| sP1(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30082,c_102]) ).
tcf(c_30140,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| aNaturalNumber0(sK5(X0,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30081,c_102]) ).
tcf(c_30149,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sK9(sz10,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30073,c_102]) ).
tcf(c_30158,plain,
! [X0: $i,X1: $i] :
( sP0(sz10)
| sP1(X1,sz10)
| ( sdtasdt0(sz10,sK5(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),sz10),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30080,c_102]) ).
tcf(c_30167,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sK9(sz10,sz00),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30072,c_102]) ).
tcf(c_30176,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(sz10,sz00),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(sz10,sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,sK9(sz10,sz00)),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30071,c_102]) ).
tcf(c_30196,plain,
~ sdtlseqdt0(xn,sz10),
inference(global_subsumption_just,[status(thm)],[c_12248,c_102,c_51,c_49,c_78,c_69,c_68,c_10464,c_10841,c_29512]) ).
tcf(c_30204,plain,
~ sdtlseqdt0(xr,sz00),
inference(global_subsumption_just,[status(thm)],[c_12252,c_12252,c_26159]) ).
tcf(c_30249,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sz10,sz10),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12365,c_65]) ).
tcf(c_30250,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(sz10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12365,c_63]) ).
tcf(c_30251,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(sz10,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12365,c_67]) ).
tcf(c_30258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_12365,c_109]) ).
tcf(c_30260,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_12365,c_104]) ).
tcf(c_30261,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sdtmndt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ sdtlseqdt0(sdtmndt0(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_12365,c_107]) ).
tcf(c_30262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sdtmndt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_12365,c_107]) ).
tcf(c_30263,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ( sdtpldt0(X0,sdtmndt0(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_12365,c_114]) ).
tcf(c_30264,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sdtmndt0(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_12365,c_109]) ).
tcf(c_30265,plain,
! [X0: $i] :
( ( sdtmndt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_12365,c_113]) ).
tcf(c_30266,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sz10,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30260,c_102]) ).
tcf(c_30271,plain,
! [X0: $i] :
( ( sdtmndt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30265,c_102]) ).
tcf(c_30276,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ( sdtpldt0(X0,sdtmndt0(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30263,c_102]) ).
tcf(c_30281,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sdtmndt0(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30264,c_102]) ).
tcf(c_30287,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30258,c_102]) ).
tcf(c_30293,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sdtmndt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30262,c_102]) ).
tcf(c_30299,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sdtmndt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ sdtlseqdt0(sdtmndt0(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30261,c_102]) ).
tcf(c_30305,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(sz10,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30251,c_102]) ).
tcf(c_30313,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(sz10,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30250,c_102]) ).
tcf(c_30321,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sz10,sz10),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30249,c_102]) ).
tcf(c_30533,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(superposition,[status(thm)],[c_23971,c_141]) ).
tcf(c_30534,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_23971,c_146]) ).
tcf(c_30535,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_23971,c_142]) ).
tcf(c_30536,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_23971,c_112]) ).
tcf(c_30537,plain,
! [X0: $i] :
( iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_23971,c_120]) ).
tcf(c_30538,plain,
! [X0: $i] :
( iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30537,c_79]) ).
tcf(c_30549,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30536,c_79]) ).
tcf(c_30559,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30535,c_79]) ).
tcf(c_30570,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30534,c_79]) ).
tcf(c_30580,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30533,c_79]) ).
tcf(c_30596,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0)) ),
inference(global_subsumption_just,[status(thm)],[c_17015,c_10489,c_17015,c_28120]) ).
tcf(c_30609,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30596,c_141]) ).
tcf(c_30610,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)),xr)) = sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30596,c_146]) ).
tcf(c_30611,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)),xr) ),
inference(superposition,[status(thm)],[c_30596,c_142]) ).
tcf(c_30612,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))) = sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30596,c_112]) ).
tcf(c_30613,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30596,c_120]) ).
tcf(c_30614,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30609,c_79]) ).
tcf(c_30623,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30613,c_79]) ).
tcf(c_30631,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))) = sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30612,c_79]) ).
tcf(c_30638,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30611,c_79]) ).
tcf(c_30646,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)),xr)) = sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30610,c_79]) ).
tcf(c_30668,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17075,c_119]) ).
tcf(c_30684,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_30668]) ).
tcf(c_30685,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0))) ),
inference(superposition,[status(thm)],[c_30668,c_141]) ).
tcf(c_30686,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)),xr)) = sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0))) ),
inference(superposition,[status(thm)],[c_30668,c_146]) ).
tcf(c_30687,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)),xr) ),
inference(superposition,[status(thm)],[c_30668,c_142]) ).
tcf(c_30688,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)))) = sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0))) ),
inference(superposition,[status(thm)],[c_30668,c_112]) ).
tcf(c_30689,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0))) ),
inference(superposition,[status(thm)],[c_30668,c_120]) ).
tcf(c_30695,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30685,c_79]) ).
tcf(c_30704,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30689,c_79]) ).
tcf(c_30712,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)))) = sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30688,c_79]) ).
tcf(c_30719,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30687,c_79]) ).
tcf(c_30727,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)),xr)) = sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30686,c_79]) ).
tcf(c_30751,plain,
( doDivides0(sK10(sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(sK10(sdtmndt0(xr,xn)),xn)
| ~ aNaturalNumber0(sK10(sdtmndt0(xr,xn))) ),
inference(global_subsumption_just,[status(thm)],[c_14878,c_10489,c_14878,c_28120]) ).
tcf(c_30752,plain,
( doDivides0(sK10(sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sK10(sdtmndt0(xr,xn)))
| ~ doDivides0(sK10(sdtmndt0(xr,xn)),xn) ),
inference(renaming,[status(thm)],[c_30751]) ).
tcf(c_30783,plain,
( doDivides0(sK10(sK8(xn,xr)),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK10(sK8(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14917,c_129]) ).
tcf(c_30802,plain,
( doDivides0(sK10(sK8(xn,xr)),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK10(sdtmndt0(xr,xn)),xn) ),
inference(superposition,[status(thm)],[c_28099,c_30783]) ).
tcf(c_30809,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0)) ),
inference(global_subsumption_just,[status(thm)],[c_17013,c_10489,c_17013,c_28120]) ).
tcf(c_30823,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30809,c_141]) ).
tcf(c_30824,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)),xr)) = sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30809,c_146]) ).
tcf(c_30825,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)),xr) ),
inference(superposition,[status(thm)],[c_30809,c_142]) ).
tcf(c_30826,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)))) = sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30809,c_112]) ).
tcf(c_30827,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30809,c_120]) ).
tcf(c_30828,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30823,c_79]) ).
tcf(c_30838,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30827,c_79]) ).
tcf(c_30847,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)))) = sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30826,c_79]) ).
tcf(c_30855,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30825,c_79]) ).
tcf(c_30864,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)),xr)) = sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30824,c_79]) ).
tcf(c_30879,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17073,c_126]) ).
tcf(c_30898,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_30879]) ).
tcf(c_30899,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0))) ),
inference(superposition,[status(thm)],[c_30879,c_141]) ).
tcf(c_30900,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)),xr)) = sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0))) ),
inference(superposition,[status(thm)],[c_30879,c_146]) ).
tcf(c_30901,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)),xr) ),
inference(superposition,[status(thm)],[c_30879,c_142]) ).
tcf(c_30902,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)))) = sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0))) ),
inference(superposition,[status(thm)],[c_30879,c_112]) ).
tcf(c_30903,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0))) ),
inference(superposition,[status(thm)],[c_30879,c_120]) ).
tcf(c_30910,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30899,c_79]) ).
tcf(c_30920,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30903,c_79]) ).
tcf(c_30929,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)))) = sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30902,c_79]) ).
tcf(c_30937,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30901,c_79]) ).
tcf(c_30946,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)),xr)) = sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30900,c_79]) ).
tcf(c_30990,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,sdtasdt0(xp,sK6)),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sdtasdt0(xp,sK6))))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11881,c_65]) ).
tcf(c_30991,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sdtasdt0(xp,sK6))))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11881,c_63]) ).
tcf(c_30992,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sdtasdt0(xp,sK6))))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11881,c_67]) ).
tcf(c_30995,plain,
( ( sK8(sz00,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(superposition,[status(thm)],[c_11881,c_91]) ).
tcf(c_30999,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,sdtasdt0(xp,sK6))),sdtasdt0(xp,sK6))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11881,c_109]) ).
tcf(c_31000,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sK8(sz00,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11881,c_105]) ).
tcf(c_31001,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,sdtasdt0(xp,sK6)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11881,c_104]) ).
tcf(c_31002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(sz00,X0))
| ( sK8(sz00,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(sK8(sz00,sdtasdt0(xp,sK6)),X0) ),
inference(superposition,[status(thm)],[c_11881,c_107]) ).
tcf(c_31003,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,sK6))
| ( sK8(sz00,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(X0,sK8(sz00,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11881,c_107]) ).
tcf(c_31004,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ( sdtpldt0(X0,sK8(sz00,sdtasdt0(xp,sK6))) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_11881,c_114]) ).
tcf(c_31005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sK8(sz00,sdtasdt0(xp,sK6))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11881,c_109]) ).
tcf(c_31006,plain,
! [X0: $i] :
( ( sK8(sz00,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_11881,c_113]) ).
tcf(c_31007,plain,
( ( sK8(sz00,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30995,c_98]) ).
tcf(c_31011,plain,
! [X0: $i] :
( ( sK8(sz00,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31006,c_98]) ).
tcf(c_31016,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ( sdtpldt0(X0,sK8(sz00,sdtasdt0(xp,sK6))) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31004,c_98]) ).
tcf(c_31021,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sz00,sdtasdt0(xp,sK6)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31001,c_98]) ).
tcf(c_31027,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sK8(sz00,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31000,c_98]) ).
tcf(c_31033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sK8(sz00,sdtasdt0(xp,sK6))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31005,c_98]) ).
tcf(c_31039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sz00,sdtasdt0(xp,sK6))),sdtasdt0(xp,sK6))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30999,c_98]) ).
tcf(c_31045,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,sK6))
| ( sK8(sz00,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(X0,sK8(sz00,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31003,c_98]) ).
tcf(c_31051,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(sz00,X0))
| ( sK8(sz00,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(sK8(sz00,sdtasdt0(xp,sK6)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31002,c_98]) ).
tcf(c_31057,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sK8(sz00,sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sdtasdt0(xp,sK6))))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30992,c_98]) ).
tcf(c_31065,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sK8(sz00,sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sdtasdt0(xp,sK6))))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30991,c_98]) ).
tcf(c_31073,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sz00,sdtasdt0(xp,sK6)),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sz00,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sdtasdt0(sz00,sK8(sz00,sdtasdt0(xp,sK6))))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30990,c_98]) ).
tcf(c_31088,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xr,xr),X0)
| ( sdtasdt0(X0,sK5(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sdtmndt0(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12366,c_65]) ).
tcf(c_31089,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xr,X0))
| sP1(sdtmndt0(xr,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sdtmndt0(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12366,c_63]) ).
tcf(c_31090,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sdtmndt0(xr,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sdtmndt0(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12366,c_67]) ).
tcf(c_31093,plain,
( ( sdtmndt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_12366,c_91]) ).
tcf(c_31097,plain,
( sP0(sdtmndt0(xr,xr))
| sP1(sK8(xn,xr),sdtmndt0(xr,xr))
| ( xn = xr )
| ( sdtasdt0(sdtmndt0(xr,xr),sK5(xn,sdtmndt0(xr,xr))) = xn )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_12366,c_23069]) ).
tcf(c_31098,plain,
( sP0(sdtmndt0(xr,xr))
| sP1(sdtmndt0(xr,xn),sdtmndt0(xr,xr))
| ( xn = xr )
| ( sdtasdt0(sdtmndt0(xr,xr),sK5(xn,sdtmndt0(xr,xr))) = xn )
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_12366,c_23042]) ).
tcf(c_31099,plain,
( sP0(sdtmndt0(xr,xr))
| aNaturalNumber0(sK5(xn,sdtmndt0(xr,xr)))
| sP1(sK8(xn,xr),sdtmndt0(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_12366,c_22585]) ).
tcf(c_31100,plain,
( sP0(sdtmndt0(xr,xr))
| aNaturalNumber0(sK5(xn,sdtmndt0(xr,xr)))
| sP1(sdtmndt0(xr,xn),sdtmndt0(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_12366,c_22558]) ).
tcf(c_31101,plain,
( sP0(sdtmndt0(xr,xr))
| doDivides0(sdtmndt0(xr,xr),xn)
| sP1(sK8(xn,xr),sdtmndt0(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_12366,c_21978]) ).
tcf(c_31102,plain,
( sP0(sdtmndt0(xr,xr))
| doDivides0(sdtmndt0(xr,xr),xn)
| sP1(sdtmndt0(xr,xn),sdtmndt0(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_12366,c_21951]) ).
tcf(c_31104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_12366,c_109]) ).
tcf(c_31106,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_12366,c_104]) ).
tcf(c_31107,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ sdtlseqdt0(sdtmndt0(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_12366,c_107]) ).
tcf(c_31108,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_12366,c_107]) ).
tcf(c_31109,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sdtpldt0(X0,sdtmndt0(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_12366,c_114]) ).
tcf(c_31110,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_12366,c_109]) ).
tcf(c_31111,plain,
! [X0: $i] :
( ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_12366,c_113]) ).
tcf(c_31112,plain,
( ( sdtmndt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31093,c_79]) ).
tcf(c_31116,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31106,c_79]) ).
tcf(c_31121,plain,
! [X0: $i] :
( ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31111,c_79]) ).
tcf(c_31126,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ( sdtpldt0(X0,sdtmndt0(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31109,c_79]) ).
tcf(c_31131,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31110,c_79]) ).
tcf(c_31137,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31104,c_79]) ).
tcf(c_31143,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31108,c_79]) ).
tcf(c_31149,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sdtmndt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ sdtlseqdt0(sdtmndt0(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31107,c_79]) ).
tcf(c_31155,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xr)
| sP1(sdtmndt0(xr,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sdtmndt0(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31090,c_79]) ).
tcf(c_31163,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xr,X0))
| sP1(sdtmndt0(xr,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sdtmndt0(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31089,c_79]) ).
tcf(c_31171,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xr,xr),X0)
| ( sdtasdt0(X0,sK5(xr,X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sdtmndt0(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31088,c_79]) ).
tcf(c_31253,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sK7,sK7),X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ~ doDivides0(X0,sdtasdt0(sK7,sdtmndt0(sK7,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12367,c_65]) ).
tcf(c_31254,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK7,X0))
| sP1(sdtmndt0(sK7,sK7),X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ~ doDivides0(X0,sdtasdt0(sK7,sdtmndt0(sK7,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12367,c_63]) ).
tcf(c_31255,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sdtmndt0(sK7,sK7),X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ~ doDivides0(X0,sdtasdt0(sK7,sdtmndt0(sK7,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12367,c_67]) ).
tcf(c_31258,plain,
( ( sdtmndt0(sK7,sK7) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ( sz00 != sK7 ) ),
inference(superposition,[status(thm)],[c_12367,c_91]) ).
tcf(c_31262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sK7,sK7)),sK7)
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_12367,c_109]) ).
tcf(c_31264,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sK7,sK7))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_12367,c_104]) ).
tcf(c_31265,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sK7,X0))
| ( sdtmndt0(sK7,sK7) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ~ sdtlseqdt0(sdtmndt0(sK7,sK7),X0) ),
inference(superposition,[status(thm)],[c_12367,c_107]) ).
tcf(c_31266,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK7,X0),sK7)
| ( sdtmndt0(sK7,sK7) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ~ sdtlseqdt0(X0,sdtmndt0(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_12367,c_107]) ).
tcf(c_31267,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ( sdtpldt0(X0,sdtmndt0(sK7,sK7)) != sK7 ) ),
inference(superposition,[status(thm)],[c_12367,c_114]) ).
tcf(c_31268,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sdtmndt0(sK7,sK7)))
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7)) ),
inference(superposition,[status(thm)],[c_12367,c_109]) ).
tcf(c_31269,plain,
! [X0: $i] :
( ( sdtmndt0(sK7,sK7) = X0 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ( sdtpldt0(sK7,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_12367,c_113]) ).
tcf(c_31270,plain,
( ( sdtmndt0(sK7,sK7) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ( sz00 != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31258,c_76]) ).
tcf(c_31274,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sK7,sK7))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31264,c_76]) ).
tcf(c_31279,plain,
! [X0: $i] :
( ( sdtmndt0(sK7,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ( sdtpldt0(sK7,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31269,c_76]) ).
tcf(c_31284,plain,
! [X0: $i] :
( ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ( sdtpldt0(X0,sdtmndt0(sK7,sK7)) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31267,c_76]) ).
tcf(c_31289,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sdtmndt0(sK7,sK7)))
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31268,c_76]) ).
tcf(c_31295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sK7,sK7)),sK7)
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31262,c_76]) ).
tcf(c_31301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK7,X0),sK7)
| ( sdtmndt0(sK7,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ~ sdtlseqdt0(X0,sdtmndt0(sK7,sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31266,c_76]) ).
tcf(c_31307,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sK7,X0))
| ( sdtmndt0(sK7,sK7) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ~ sdtlseqdt0(sdtmndt0(sK7,sK7),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31265,c_76]) ).
tcf(c_31313,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK7)
| sP1(sdtmndt0(sK7,sK7),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ~ doDivides0(X0,sdtasdt0(sK7,sdtmndt0(sK7,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31255,c_76]) ).
tcf(c_31321,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK7,X0))
| sP1(sdtmndt0(sK7,sK7),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ~ doDivides0(X0,sdtasdt0(sK7,sdtmndt0(sK7,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31254,c_76]) ).
tcf(c_31329,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sK7,sK7),X0)
| ( sdtasdt0(X0,sK5(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sK7))
| ~ doDivides0(X0,sdtasdt0(sK7,sdtmndt0(sK7,sK7)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31253,c_76]) ).
tcf(c_31489,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sK6,sK6),X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ~ doDivides0(X0,sdtasdt0(sK6,sdtmndt0(sK6,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12368,c_65]) ).
tcf(c_31490,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK6,X0))
| sP1(sdtmndt0(sK6,sK6),X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ~ doDivides0(X0,sdtasdt0(sK6,sdtmndt0(sK6,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12368,c_63]) ).
tcf(c_31491,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sdtmndt0(sK6,sK6),X0)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ~ doDivides0(X0,sdtasdt0(sK6,sdtmndt0(sK6,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12368,c_67]) ).
tcf(c_31494,plain,
( ( sdtmndt0(sK6,sK6) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ( sz00 != sK6 ) ),
inference(superposition,[status(thm)],[c_12368,c_91]) ).
tcf(c_31498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sK6,sK6)),sK6)
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_12368,c_109]) ).
tcf(c_31500,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sK6,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_12368,c_104]) ).
tcf(c_31501,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sK6,X0))
| ( sdtmndt0(sK6,sK6) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ~ sdtlseqdt0(sdtmndt0(sK6,sK6),X0) ),
inference(superposition,[status(thm)],[c_12368,c_107]) ).
tcf(c_31502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK6,X0),sK6)
| ( sdtmndt0(sK6,sK6) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ~ sdtlseqdt0(X0,sdtmndt0(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_12368,c_107]) ).
tcf(c_31503,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ( sdtpldt0(X0,sdtmndt0(sK6,sK6)) != sK6 ) ),
inference(superposition,[status(thm)],[c_12368,c_114]) ).
tcf(c_31504,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sdtmndt0(sK6,sK6)))
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6)) ),
inference(superposition,[status(thm)],[c_12368,c_109]) ).
tcf(c_31505,plain,
! [X0: $i] :
( ( sdtmndt0(sK6,sK6) = X0 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ( sdtpldt0(sK6,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_12368,c_113]) ).
tcf(c_31506,plain,
( ( sdtmndt0(sK6,sK6) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ( sz00 != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31494,c_73]) ).
tcf(c_31510,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sK6,sK6))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31500,c_73]) ).
tcf(c_31515,plain,
! [X0: $i] :
( ( sdtmndt0(sK6,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ( sdtpldt0(sK6,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31505,c_73]) ).
tcf(c_31520,plain,
! [X0: $i] :
( ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ( sdtpldt0(X0,sdtmndt0(sK6,sK6)) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31503,c_73]) ).
tcf(c_31525,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sdtmndt0(sK6,sK6)))
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31504,c_73]) ).
tcf(c_31531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sK6,sK6)),sK6)
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31498,c_73]) ).
tcf(c_31537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sK6,X0),sK6)
| ( sdtmndt0(sK6,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ~ sdtlseqdt0(X0,sdtmndt0(sK6,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31502,c_73]) ).
tcf(c_31543,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sK6,X0))
| ( sdtmndt0(sK6,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ~ sdtlseqdt0(sdtmndt0(sK6,sK6),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31501,c_73]) ).
tcf(c_31549,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sK6)
| sP1(sdtmndt0(sK6,sK6),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ~ doDivides0(X0,sdtasdt0(sK6,sdtmndt0(sK6,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31491,c_73]) ).
tcf(c_31557,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sK6,X0))
| sP1(sdtmndt0(sK6,sK6),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ~ doDivides0(X0,sdtasdt0(sK6,sdtmndt0(sK6,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31490,c_73]) ).
tcf(c_31565,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sK6,sK6),X0)
| ( sdtasdt0(X0,sK5(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sK6))
| ~ doDivides0(X0,sdtasdt0(sK6,sdtmndt0(sK6,sK6)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31489,c_73]) ).
tcf(c_31618,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xp,xp),X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12369,c_65]) ).
tcf(c_31619,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sdtmndt0(xp,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12369,c_63]) ).
tcf(c_31620,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sdtmndt0(xp,xp),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12369,c_67]) ).
tcf(c_31627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_12369,c_109]) ).
tcf(c_31629,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_12369,c_104]) ).
tcf(c_31630,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ sdtlseqdt0(sdtmndt0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_12369,c_107]) ).
tcf(c_31631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_12369,c_107]) ).
tcf(c_31632,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sdtpldt0(X0,sdtmndt0(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_12369,c_114]) ).
tcf(c_31633,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_12369,c_109]) ).
tcf(c_31634,plain,
! [X0: $i] :
( ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_12369,c_113]) ).
tcf(c_31635,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31629,c_51]) ).
tcf(c_31640,plain,
! [X0: $i] :
( ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31634,c_51]) ).
tcf(c_31645,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ( sdtpldt0(X0,sdtmndt0(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31632,c_51]) ).
tcf(c_31650,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31633,c_51]) ).
tcf(c_31656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31627,c_51]) ).
tcf(c_31662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31631,c_51]) ).
tcf(c_31668,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sdtmndt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ sdtlseqdt0(sdtmndt0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31630,c_51]) ).
tcf(c_31674,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xp)
| sP1(sdtmndt0(xp,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31620,c_51]) ).
tcf(c_31682,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xp,X0))
| sP1(sdtmndt0(xp,xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31619,c_51]) ).
tcf(c_31690,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xp,xp),X0)
| ( sdtasdt0(X0,sK5(xp,X0)) = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sdtmndt0(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31618,c_51]) ).
tcf(c_31707,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xm,xm),X0)
| ( sdtasdt0(X0,sK5(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sdtmndt0(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12370,c_65]) ).
tcf(c_31708,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xm,X0))
| sP1(sdtmndt0(xm,xm),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sdtmndt0(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12370,c_63]) ).
tcf(c_31709,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sdtmndt0(xm,xm),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sdtmndt0(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12370,c_67]) ).
tcf(c_31712,plain,
( ( sdtmndt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_12370,c_91]) ).
tcf(c_31716,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_12370,c_109]) ).
tcf(c_31718,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xm,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_12370,c_104]) ).
tcf(c_31719,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ sdtlseqdt0(sdtmndt0(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_12370,c_107]) ).
tcf(c_31720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_12370,c_107]) ).
tcf(c_31721,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sdtpldt0(X0,sdtmndt0(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_12370,c_114]) ).
tcf(c_31722,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_12370,c_109]) ).
tcf(c_31723,plain,
! [X0: $i] :
( ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_12370,c_113]) ).
tcf(c_31724,plain,
( ( sdtmndt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31712,c_50]) ).
tcf(c_31728,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xm,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31718,c_50]) ).
tcf(c_31733,plain,
! [X0: $i] :
( ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31723,c_50]) ).
tcf(c_31738,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ( sdtpldt0(X0,sdtmndt0(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31721,c_50]) ).
tcf(c_31743,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31722,c_50]) ).
tcf(c_31749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31716,c_50]) ).
tcf(c_31755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31720,c_50]) ).
tcf(c_31761,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sdtmndt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ sdtlseqdt0(sdtmndt0(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31719,c_50]) ).
tcf(c_31767,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xm)
| sP1(sdtmndt0(xm,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sdtmndt0(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31709,c_50]) ).
tcf(c_31775,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xm,X0))
| sP1(sdtmndt0(xm,xm),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sdtmndt0(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31708,c_50]) ).
tcf(c_31783,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xm,xm),X0)
| ( sdtasdt0(X0,sK5(xm,X0)) = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sdtmndt0(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31707,c_50]) ).
tcf(c_31801,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sz00,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12372,c_65]) ).
tcf(c_31802,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(sz00,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12372,c_63]) ).
tcf(c_31803,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(sz00,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12372,c_67]) ).
tcf(c_31806,plain,
( ( sdtmndt0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_12372,c_91]) ).
tcf(c_31810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_12372,c_109]) ).
tcf(c_31812,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_12372,c_104]) ).
tcf(c_31813,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ sdtlseqdt0(sdtmndt0(sz00,sz00),X0) ),
inference(superposition,[status(thm)],[c_12372,c_107]) ).
tcf(c_31814,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_12372,c_107]) ).
tcf(c_31815,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ( sdtpldt0(X0,sdtmndt0(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12372,c_114]) ).
tcf(c_31816,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sdtmndt0(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_12372,c_109]) ).
tcf(c_31817,plain,
! [X0: $i] :
( ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12372,c_113]) ).
tcf(c_31818,plain,
( ( sdtmndt0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31806,c_98]) ).
tcf(c_31821,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sz00,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31812,c_98]) ).
tcf(c_31826,plain,
! [X0: $i] :
( ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31817,c_98]) ).
tcf(c_31831,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ( sdtpldt0(X0,sdtmndt0(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31815,c_98]) ).
tcf(c_31836,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sdtmndt0(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31816,c_98]) ).
tcf(c_31842,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31810,c_98]) ).
tcf(c_31848,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31814,c_98]) ).
tcf(c_31854,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sdtmndt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ sdtlseqdt0(sdtmndt0(sz00,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31813,c_98]) ).
tcf(c_31860,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(sz00,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31803,c_98]) ).
tcf(c_31868,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(sz00,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31802,c_98]) ).
tcf(c_31876,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sz00,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31801,c_98]) ).
tcf(c_31921,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xn,sz10),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xn,sz10)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12375,c_65]) ).
tcf(c_31922,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xn,sz10)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12375,c_63]) ).
tcf(c_31923,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(xn,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xn,sz10)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12375,c_67]) ).
tcf(c_31930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,sz10)),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_12375,c_109]) ).
tcf(c_31931,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ doDivides0(X0,sdtmndt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_12375,c_105]) ).
tcf(c_31932,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xn,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_12375,c_104]) ).
tcf(c_31933,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz10,X0))
| ( sdtmndt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ sdtlseqdt0(sdtmndt0(xn,sz10),X0) ),
inference(superposition,[status(thm)],[c_12375,c_107]) ).
tcf(c_31934,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xn)
| ( sdtmndt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_12375,c_107]) ).
tcf(c_31935,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ( sdtpldt0(X0,sdtmndt0(xn,sz10)) != xn ) ),
inference(superposition,[status(thm)],[c_12375,c_114]) ).
tcf(c_31936,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_12375,c_109]) ).
tcf(c_31937,plain,
! [X0: $i] :
( ( sdtmndt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ( sdtpldt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_12375,c_113]) ).
tcf(c_31938,plain,
! [X0: $i] :
( ( sdtmndt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ( sdtpldt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31937,c_102]) ).
tcf(c_31943,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ( sdtpldt0(X0,sdtmndt0(xn,sz10)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31935,c_102]) ).
tcf(c_31948,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xn,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31932,c_102]) ).
tcf(c_31954,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ doDivides0(X0,sdtmndt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31931,c_102]) ).
tcf(c_31960,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31936,c_102]) ).
tcf(c_31966,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,sz10)),xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31930,c_102]) ).
tcf(c_31972,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xn)
| ( sdtmndt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31934,c_102]) ).
tcf(c_31978,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz10,X0))
| ( sdtmndt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ sdtlseqdt0(sdtmndt0(xn,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31933,c_102]) ).
tcf(c_31984,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(xn,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xn,sz10)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31923,c_102]) ).
tcf(c_31992,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(xn,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xn,sz10)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31922,c_102]) ).
tcf(c_32000,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xn,sz10),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xn,sz10)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31921,c_102]) ).
tcf(c_32018,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sz10,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz10,sz00)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12376,c_65]) ).
tcf(c_32019,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(sz10,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz10,sz00)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12376,c_63]) ).
tcf(c_32020,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(sz10,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz10,sz00)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12376,c_67]) ).
tcf(c_32027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz10,sz00)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_12376,c_109]) ).
tcf(c_32028,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ doDivides0(X0,sdtmndt0(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_12376,c_105]) ).
tcf(c_32029,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sz10,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_12376,c_104]) ).
tcf(c_32030,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sdtmndt0(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ sdtlseqdt0(sdtmndt0(sz10,sz00),X0) ),
inference(superposition,[status(thm)],[c_12376,c_107]) ).
tcf(c_32031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sdtmndt0(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_12376,c_107]) ).
tcf(c_32032,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ( sdtpldt0(X0,sdtmndt0(sz10,sz00)) != sz10 ) ),
inference(superposition,[status(thm)],[c_12376,c_114]) ).
tcf(c_32033,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sdtmndt0(sz10,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_12376,c_109]) ).
tcf(c_32034,plain,
! [X0: $i] :
( ( sdtmndt0(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_12376,c_113]) ).
tcf(c_32035,plain,
! [X0: $i] :
( ( sdtmndt0(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32034,c_98]) ).
tcf(c_32040,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ( sdtpldt0(X0,sdtmndt0(sz10,sz00)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32032,c_98]) ).
tcf(c_32045,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sz10,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32029,c_98]) ).
tcf(c_32051,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ doDivides0(X0,sdtmndt0(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32028,c_98]) ).
tcf(c_32057,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sdtmndt0(sz10,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32033,c_98]) ).
tcf(c_32063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sz10,sz00)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32027,c_98]) ).
tcf(c_32069,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sdtmndt0(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32031,c_98]) ).
tcf(c_32075,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sdtmndt0(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ sdtlseqdt0(sdtmndt0(sz10,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32030,c_98]) ).
tcf(c_32081,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(sz10,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz10,sz00)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32020,c_98]) ).
tcf(c_32089,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(sz10,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz10,sz00)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32019,c_98]) ).
tcf(c_32097,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sz10,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sz10,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sz10,sz00)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32018,c_98]) ).
tcf(c_32129,plain,
( isPrime0(sdtmndt0(xr,xn))
| doDivides0(sK11(sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(sK11(sdtmndt0(xr,xn)),xn)
| ~ aNaturalNumber0(sK11(sdtmndt0(xr,xn))) ),
inference(global_subsumption_just,[status(thm)],[c_14879,c_10489,c_14879,c_28120]) ).
tcf(c_32130,plain,
( isPrime0(sdtmndt0(xr,xn))
| doDivides0(sK11(sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sK11(sdtmndt0(xr,xn)))
| ~ doDivides0(sK11(sdtmndt0(xr,xn)),xn) ),
inference(renaming,[status(thm)],[c_32129]) ).
tcf(c_32153,plain,
( isPrime0(sK8(xn,xr))
| doDivides0(sK11(sK8(xn,xr)),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK11(sK8(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14918,c_134]) ).
tcf(c_32175,plain,
( isPrime0(sK8(xn,xr))
| doDivides0(sK11(sK8(xn,xr)),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK11(sdtmndt0(xr,xn)),xn) ),
inference(superposition,[status(thm)],[c_28099,c_32153]) ).
tcf(c_32227,plain,
( sP0(sK8(xr,xr))
| doDivides0(sK8(xr,xr),xn)
| sP1(sdtmndt0(xr,xn),sK8(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn)))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(global_subsumption_just,[status(thm)],[c_23651,c_10489,c_23651,c_28120]) ).
tcf(c_32228,plain,
( sP0(sK8(xr,xr))
| doDivides0(sK8(xr,xr),xn)
| sP1(sdtmndt0(xr,xn),sK8(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(renaming,[status(thm)],[c_32227]) ).
tcf(c_32259,plain,
( sP0(sK8(xr,xr))
| doDivides0(sK8(xr,xr),xn)
| sP1(sK8(xn,xr),sK8(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_28099,c_23685]) ).
tcf(c_32268,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0)
| ( sdtasdt0(X0,sK5(sdtasdt0(xp,sK6),X0)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))) ),
inference(superposition,[status(thm)],[c_11882,c_65]) ).
tcf(c_32269,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sdtasdt0(xp,sK6),X0))
| sP1(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))) ),
inference(superposition,[status(thm)],[c_11882,c_63]) ).
tcf(c_32270,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sdtasdt0(xp,sK6))
| sP1(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))) ),
inference(superposition,[status(thm)],[c_11882,c_67]) ).
tcf(c_32273,plain,
( ( sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(superposition,[status(thm)],[c_11882,c_91]) ).
tcf(c_32277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))),sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11882,c_109]) ).
tcf(c_32279,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11882,c_104]) ).
tcf(c_32280,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(sdtasdt0(xp,sK6),X0))
| ( sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0) ),
inference(superposition,[status(thm)],[c_11882,c_107]) ).
tcf(c_32281,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtasdt0(xp,sK6))
| ( sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(X0,sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11882,c_107]) ).
tcf(c_32282,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ( sdtpldt0(X0,sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_11882,c_114]) ).
tcf(c_32283,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11882,c_109]) ).
tcf(c_32284,plain,
! [X0: $i] :
( ( sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ( sdtpldt0(sdtasdt0(xp,sK6),X0) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_11882,c_113]) ).
tcf(c_32285,plain,
( ( sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32273,c_10386]) ).
tcf(c_32289,plain,
! [X0: $i] :
( doDivides0(X0,sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32279,c_10386]) ).
tcf(c_32294,plain,
! [X0: $i] :
( ( sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ( sdtpldt0(sdtasdt0(xp,sK6),X0) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32284,c_10386]) ).
tcf(c_32299,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ( sdtpldt0(X0,sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32282,c_10386]) ).
tcf(c_32304,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32283,c_10386]) ).
tcf(c_32310,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))),sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32277,c_10386]) ).
tcf(c_32316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtasdt0(xp,sK6))
| ( sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(X0,sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32281,c_10386]) ).
tcf(c_32322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(sdtasdt0(xp,sK6),X0))
| ( sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32280,c_10386]) ).
tcf(c_32328,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sdtasdt0(xp,sK6))
| sP1(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32270,c_10386]) ).
tcf(c_32336,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sdtasdt0(xp,sK6),X0))
| sP1(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32269,c_10386]) ).
tcf(c_32344,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0)
| ( sdtasdt0(X0,sK5(sdtasdt0(xp,sK6),X0)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sK8(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32268,c_10386]) ).
tcf(c_32407,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xr,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xr,sz00)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12377,c_65]) ).
tcf(c_32408,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(xr,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xr,sz00)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12377,c_63]) ).
tcf(c_32409,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(xr,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xr,sz00)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12377,c_67]) ).
tcf(c_32412,plain,
( ( sdtmndt0(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_12377,c_91]) ).
tcf(c_32416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,sz00)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_12377,c_109]) ).
tcf(c_32417,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_12377,c_105]) ).
tcf(c_32418,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_12377,c_104]) ).
tcf(c_32419,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ sdtlseqdt0(sdtmndt0(xr,sz00),X0) ),
inference(superposition,[status(thm)],[c_12377,c_107]) ).
tcf(c_32420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_12377,c_107]) ).
tcf(c_32421,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sdtpldt0(X0,sdtmndt0(xr,sz00)) != xr ) ),
inference(superposition,[status(thm)],[c_12377,c_114]) ).
tcf(c_32422,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(superposition,[status(thm)],[c_12377,c_109]) ).
tcf(c_32423,plain,
! [X0: $i] :
( ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(superposition,[status(thm)],[c_12377,c_113]) ).
tcf(c_32424,plain,
( ( sdtmndt0(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32412,c_98]) ).
tcf(c_32428,plain,
! [X0: $i] :
( ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32423,c_98]) ).
tcf(c_32433,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ( sdtpldt0(X0,sdtmndt0(xr,sz00)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32421,c_98]) ).
tcf(c_32438,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32418,c_98]) ).
tcf(c_32444,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32417,c_98]) ).
tcf(c_32450,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32422,c_98]) ).
tcf(c_32456,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,sz00)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32416,c_98]) ).
tcf(c_32462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32420,c_98]) ).
tcf(c_32468,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sdtmndt0(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ sdtlseqdt0(sdtmndt0(xr,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32419,c_98]) ).
tcf(c_32474,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(xr,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xr,sz00)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32409,c_98]) ).
tcf(c_32482,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(xr,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xr,sz00)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32408,c_98]) ).
tcf(c_32490,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xr,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xr,sz00)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32407,c_98]) ).
tcf(c_32537,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sK7,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sK7,sz00)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12378,c_65]) ).
tcf(c_32538,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(sK7,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sK7,sz00)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12378,c_63]) ).
tcf(c_32539,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(sK7,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sK7,sz00)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12378,c_67]) ).
tcf(c_32542,plain,
( ( sdtmndt0(sK7,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ( sz00 != sK7 ) ),
inference(superposition,[status(thm)],[c_12378,c_91]) ).
tcf(c_32546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sK7,sz00)),sK7)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00)) ),
inference(superposition,[status(thm)],[c_12378,c_109]) ).
tcf(c_32547,plain,
! [X0: $i] :
( doDivides0(X0,sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ~ doDivides0(X0,sdtmndt0(sK7,sz00)) ),
inference(superposition,[status(thm)],[c_12378,c_105]) ).
tcf(c_32548,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sK7,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00)) ),
inference(superposition,[status(thm)],[c_12378,c_104]) ).
tcf(c_32549,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sz00,X0))
| ( sdtmndt0(sK7,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ~ sdtlseqdt0(sdtmndt0(sK7,sz00),X0) ),
inference(superposition,[status(thm)],[c_12378,c_107]) ).
tcf(c_32550,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK7)
| ( sdtmndt0(sK7,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sK7,sz00)) ),
inference(superposition,[status(thm)],[c_12378,c_107]) ).
tcf(c_32551,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ( sdtpldt0(X0,sdtmndt0(sK7,sz00)) != sK7 ) ),
inference(superposition,[status(thm)],[c_12378,c_114]) ).
tcf(c_32552,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sdtmndt0(sK7,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00)) ),
inference(superposition,[status(thm)],[c_12378,c_109]) ).
tcf(c_32553,plain,
! [X0: $i] :
( ( sdtmndt0(sK7,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ( sdtpldt0(sz00,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_12378,c_113]) ).
tcf(c_32554,plain,
( ( sdtmndt0(sK7,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ( sz00 != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32542,c_98]) ).
tcf(c_32558,plain,
! [X0: $i] :
( ( sdtmndt0(sK7,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ( sdtpldt0(sz00,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32553,c_98]) ).
tcf(c_32563,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ( sdtpldt0(X0,sdtmndt0(sK7,sz00)) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32551,c_98]) ).
tcf(c_32568,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sK7,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32548,c_98]) ).
tcf(c_32574,plain,
! [X0: $i] :
( doDivides0(X0,sK7)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ~ doDivides0(X0,sdtmndt0(sK7,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32547,c_98]) ).
tcf(c_32580,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sdtmndt0(sK7,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32552,c_98]) ).
tcf(c_32586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sK7,sz00)),sK7)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32546,c_98]) ).
tcf(c_32592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK7)
| ( sdtmndt0(sK7,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sK7,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32550,c_98]) ).
tcf(c_32598,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sz00,X0))
| ( sdtmndt0(sK7,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ~ sdtlseqdt0(sdtmndt0(sK7,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32549,c_98]) ).
tcf(c_32604,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(sK7,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sK7,sz00)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32539,c_98]) ).
tcf(c_32612,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(sK7,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sK7,sz00)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32538,c_98]) ).
tcf(c_32620,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sK7,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sK7,sz00)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32537,c_98]) ).
tcf(c_32663,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sK6,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sK6,sz00)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12379,c_65]) ).
tcf(c_32664,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(sK6,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sK6,sz00)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12379,c_63]) ).
tcf(c_32665,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(sK6,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sK6,sz00)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12379,c_67]) ).
tcf(c_32668,plain,
( ( sdtmndt0(sK6,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ( sz00 != sK6 ) ),
inference(superposition,[status(thm)],[c_12379,c_91]) ).
tcf(c_32672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sK6,sz00)),sK6)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00)) ),
inference(superposition,[status(thm)],[c_12379,c_109]) ).
tcf(c_32673,plain,
! [X0: $i] :
( doDivides0(X0,sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ~ doDivides0(X0,sdtmndt0(sK6,sz00)) ),
inference(superposition,[status(thm)],[c_12379,c_105]) ).
tcf(c_32674,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sK6,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00)) ),
inference(superposition,[status(thm)],[c_12379,c_104]) ).
tcf(c_32675,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sz00,X0))
| ( sdtmndt0(sK6,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ~ sdtlseqdt0(sdtmndt0(sK6,sz00),X0) ),
inference(superposition,[status(thm)],[c_12379,c_107]) ).
tcf(c_32676,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK6)
| ( sdtmndt0(sK6,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sK6,sz00)) ),
inference(superposition,[status(thm)],[c_12379,c_107]) ).
tcf(c_32677,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ( sdtpldt0(X0,sdtmndt0(sK6,sz00)) != sK6 ) ),
inference(superposition,[status(thm)],[c_12379,c_114]) ).
tcf(c_32678,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sdtmndt0(sK6,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00)) ),
inference(superposition,[status(thm)],[c_12379,c_109]) ).
tcf(c_32679,plain,
! [X0: $i] :
( ( sdtmndt0(sK6,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ( sdtpldt0(sz00,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_12379,c_113]) ).
tcf(c_32680,plain,
( ( sdtmndt0(sK6,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ( sz00 != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32668,c_98]) ).
tcf(c_32684,plain,
! [X0: $i] :
( ( sdtmndt0(sK6,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ( sdtpldt0(sz00,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32679,c_98]) ).
tcf(c_32689,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ( sdtpldt0(X0,sdtmndt0(sK6,sz00)) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32677,c_98]) ).
tcf(c_32694,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sK6,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32674,c_98]) ).
tcf(c_32700,plain,
! [X0: $i] :
( doDivides0(X0,sK6)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ~ doDivides0(X0,sdtmndt0(sK6,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32673,c_98]) ).
tcf(c_32706,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sdtmndt0(sK6,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32678,c_98]) ).
tcf(c_32712,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sK6,sz00)),sK6)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32672,c_98]) ).
tcf(c_32718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sK6)
| ( sdtmndt0(sK6,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sK6,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32676,c_98]) ).
tcf(c_32724,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sz00,X0))
| ( sdtmndt0(sK6,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ~ sdtlseqdt0(sdtmndt0(sK6,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32675,c_98]) ).
tcf(c_32730,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(sK6,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sK6,sz00)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32665,c_98]) ).
tcf(c_32738,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(sK6,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sK6,sz00)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32664,c_98]) ).
tcf(c_32746,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sK6,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sK6,sz00)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32663,c_98]) ).
tcf(c_32911,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xp,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xp,sz00)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12380,c_65]) ).
tcf(c_32912,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(xp,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xp,sz00)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12380,c_63]) ).
tcf(c_32913,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(xp,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xp,sz00)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12380,c_67]) ).
tcf(c_32920,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,sz00)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_12380,c_109]) ).
tcf(c_32921,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_12380,c_105]) ).
tcf(c_32922,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xp,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_12380,c_104]) ).
tcf(c_32923,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ sdtlseqdt0(sdtmndt0(xp,sz00),X0) ),
inference(superposition,[status(thm)],[c_12380,c_107]) ).
tcf(c_32924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_12380,c_107]) ).
tcf(c_32925,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sdtpldt0(X0,sdtmndt0(xp,sz00)) != xp ) ),
inference(superposition,[status(thm)],[c_12380,c_114]) ).
tcf(c_32926,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_12380,c_109]) ).
tcf(c_32927,plain,
! [X0: $i] :
( ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_12380,c_113]) ).
tcf(c_32928,plain,
! [X0: $i] :
( ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32927,c_98]) ).
tcf(c_32933,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ( sdtpldt0(X0,sdtmndt0(xp,sz00)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32925,c_98]) ).
tcf(c_32938,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xp,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32922,c_98]) ).
tcf(c_32944,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32921,c_98]) ).
tcf(c_32950,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32926,c_98]) ).
tcf(c_32956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,sz00)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32920,c_98]) ).
tcf(c_32962,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32924,c_98]) ).
tcf(c_32968,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sdtmndt0(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ sdtlseqdt0(sdtmndt0(xp,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32923,c_98]) ).
tcf(c_32974,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(xp,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xp,sz00)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32913,c_98]) ).
tcf(c_32982,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(xp,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xp,sz00)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32912,c_98]) ).
tcf(c_32990,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xp,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xp,sz00)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32911,c_98]) ).
tcf(c_33018,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xm,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xm,sz00)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12381,c_65]) ).
tcf(c_33019,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(xm,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xm,sz00)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12381,c_63]) ).
tcf(c_33020,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(xm,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xm,sz00)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12381,c_67]) ).
tcf(c_33023,plain,
( ( sdtmndt0(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_12381,c_91]) ).
tcf(c_33027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,sz00)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_12381,c_109]) ).
tcf(c_33028,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_12381,c_105]) ).
tcf(c_33029,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xm,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_12381,c_104]) ).
tcf(c_33030,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ sdtlseqdt0(sdtmndt0(xm,sz00),X0) ),
inference(superposition,[status(thm)],[c_12381,c_107]) ).
tcf(c_33031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_12381,c_107]) ).
tcf(c_33032,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sdtpldt0(X0,sdtmndt0(xm,sz00)) != xm ) ),
inference(superposition,[status(thm)],[c_12381,c_114]) ).
tcf(c_33033,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(superposition,[status(thm)],[c_12381,c_109]) ).
tcf(c_33034,plain,
! [X0: $i] :
( ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_12381,c_113]) ).
tcf(c_33035,plain,
( ( sdtmndt0(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33023,c_98]) ).
tcf(c_33039,plain,
! [X0: $i] :
( ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33034,c_98]) ).
tcf(c_33044,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ( sdtpldt0(X0,sdtmndt0(xm,sz00)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33032,c_98]) ).
tcf(c_33049,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xm,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33029,c_98]) ).
tcf(c_33055,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33028,c_98]) ).
tcf(c_33061,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33033,c_98]) ).
tcf(c_33067,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,sz00)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33027,c_98]) ).
tcf(c_33073,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33031,c_98]) ).
tcf(c_33079,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sdtmndt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ sdtlseqdt0(sdtmndt0(xm,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33030,c_98]) ).
tcf(c_33085,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(xm,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xm,sz00)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33020,c_98]) ).
tcf(c_33093,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(xm,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xm,sz00)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33019,c_98]) ).
tcf(c_33101,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xm,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xm,sz00)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33018,c_98]) ).
tcf(c_33198,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xn,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xn,sz00)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12382,c_65]) ).
tcf(c_33199,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(xn,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xn,sz00)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12382,c_63]) ).
tcf(c_33200,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(xn,sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xn,sz00)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12382,c_67]) ).
tcf(c_33207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,sz00)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_12382,c_109]) ).
tcf(c_33208,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_12382,c_105]) ).
tcf(c_33209,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xn,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_12382,c_104]) ).
tcf(c_33210,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ sdtlseqdt0(sdtmndt0(xn,sz00),X0) ),
inference(superposition,[status(thm)],[c_12382,c_107]) ).
tcf(c_33211,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_12382,c_107]) ).
tcf(c_33212,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sdtpldt0(X0,sdtmndt0(xn,sz00)) != xn ) ),
inference(superposition,[status(thm)],[c_12382,c_114]) ).
tcf(c_33213,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_12382,c_109]) ).
tcf(c_33214,plain,
! [X0: $i] :
( ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_12382,c_113]) ).
tcf(c_33215,plain,
! [X0: $i] :
( ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33214,c_98]) ).
tcf(c_33220,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ( sdtpldt0(X0,sdtmndt0(xn,sz00)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33212,c_98]) ).
tcf(c_33225,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xn,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33209,c_98]) ).
tcf(c_33231,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33208,c_98]) ).
tcf(c_33237,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xn,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33213,c_98]) ).
tcf(c_33243,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,sz00)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33207,c_98]) ).
tcf(c_33249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33211,c_98]) ).
tcf(c_33255,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sdtmndt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ sdtlseqdt0(sdtmndt0(xn,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33210,c_98]) ).
tcf(c_33261,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(xn,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xn,sz00)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33200,c_98]) ).
tcf(c_33269,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(xn,sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xn,sz00)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33199,c_98]) ).
tcf(c_33277,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xn,sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(xn,sz00)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33198,c_98]) ).
tcf(c_33292,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xp,sz10),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xp,sz10)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12383,c_65]) ).
tcf(c_33293,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(xp,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xp,sz10)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12383,c_63]) ).
tcf(c_33294,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(xp,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xp,sz10)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12383,c_67]) ).
tcf(c_33301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,sz10)),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_12383,c_109]) ).
tcf(c_33302,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ doDivides0(X0,sdtmndt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_12383,c_105]) ).
tcf(c_33303,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xp,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_12383,c_104]) ).
tcf(c_33304,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz10,X0))
| ( sdtmndt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ sdtlseqdt0(sdtmndt0(xp,sz10),X0) ),
inference(superposition,[status(thm)],[c_12383,c_107]) ).
tcf(c_33305,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xp)
| ( sdtmndt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_12383,c_107]) ).
tcf(c_33306,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ( sdtpldt0(X0,sdtmndt0(xp,sz10)) != xp ) ),
inference(superposition,[status(thm)],[c_12383,c_114]) ).
tcf(c_33307,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_12383,c_109]) ).
tcf(c_33308,plain,
! [X0: $i] :
( ( sdtmndt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ( sdtpldt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_12383,c_113]) ).
tcf(c_33309,plain,
! [X0: $i] :
( ( sdtmndt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ( sdtpldt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33308,c_102]) ).
tcf(c_33314,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ( sdtpldt0(X0,sdtmndt0(xp,sz10)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33306,c_102]) ).
tcf(c_33319,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xp,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33303,c_102]) ).
tcf(c_33325,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ doDivides0(X0,sdtmndt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33302,c_102]) ).
tcf(c_33331,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sdtmndt0(xp,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33307,c_102]) ).
tcf(c_33337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xp,sz10)),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33301,c_102]) ).
tcf(c_33343,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xp)
| ( sdtmndt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33305,c_102]) ).
tcf(c_33349,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz10,X0))
| ( sdtmndt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ sdtlseqdt0(sdtmndt0(xp,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33304,c_102]) ).
tcf(c_33355,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(xp,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xp,sz10)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33294,c_102]) ).
tcf(c_33363,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(xp,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xp,sz10)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33293,c_102]) ).
tcf(c_33371,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xp,sz10),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xp,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xp,sz10)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33292,c_102]) ).
tcf(c_33440,plain,
sdtlseqdt0(sz10,xr),
inference(global_subsumption_just,[status(thm)],[c_24115,c_21338]) ).
tcf(c_33442,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_33440,c_141]) ).
tcf(c_33443,plain,
( ( sdtpldt0(sz10,sdtmndt0(xr,sz10)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_33440,c_146]) ).
tcf(c_33444,plain,
( ( sz10 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,sz10) ),
inference(superposition,[status(thm)],[c_33440,c_142]) ).
tcf(c_33446,plain,
( iLess0(sz10,xr)
| ( sz10 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_33440,c_120]) ).
tcf(c_33447,plain,
( iLess0(sz10,xr)
| ( sz10 = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33446,c_79,c_102]) ).
tcf(c_33450,plain,
( ( sz10 = xr )
| ~ sdtlseqdt0(xr,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33444,c_79,c_102]) ).
tcf(c_33453,plain,
sdtpldt0(sz10,sdtmndt0(xr,sz10)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_33443,c_79,c_102]) ).
tcf(c_33454,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33442,c_79,c_102]) ).
tcf(c_33475,plain,
( sP0(sdtmndt0(xr,xr))
| doDivides0(sdtmndt0(xr,xr),xn)
| sP1(sK8(xn,xr),sdtmndt0(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_28099,c_31101]) ).
tcf(c_33531,plain,
( sP0(sdtmndt0(xr,xr))
| doDivides0(sdtmndt0(xr,xr),xn)
| sP1(sdtmndt0(xr,xn),sdtmndt0(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn)))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(global_subsumption_just,[status(thm)],[c_31102,c_10489,c_28120,c_31102]) ).
tcf(c_33532,plain,
( sP0(sdtmndt0(xr,xr))
| doDivides0(sdtmndt0(xr,xr),xn)
| sP1(sdtmndt0(xr,xn),sdtmndt0(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(renaming,[status(thm)],[c_33531]) ).
tcf(c_33547,plain,
( sP0(sK8(xr,xr))
| aNaturalNumber0(sK5(xn,sK8(xr,xr)))
| sP1(sdtmndt0(xr,xn),sK8(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn)))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(global_subsumption_just,[status(thm)],[c_23719,c_10489,c_23719,c_28120]) ).
tcf(c_33548,plain,
( sP0(sK8(xr,xr))
| aNaturalNumber0(sK5(xn,sK8(xr,xr)))
| sP1(sdtmndt0(xr,xn),sK8(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(renaming,[status(thm)],[c_33547]) ).
tcf(c_33625,plain,
( sP0(sK8(xr,xr))
| aNaturalNumber0(sK5(xn,sK8(xr,xr)))
| sP1(sK8(xn,xr),sK8(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_28099,c_23753]) ).
tcf(c_33761,plain,
( sP0(sdtmndt0(xr,xr))
| aNaturalNumber0(sK5(xn,sdtmndt0(xr,xr)))
| sP1(sK8(xn,xr),sdtmndt0(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_28099,c_31099]) ).
tcf(c_33770,plain,
( sP0(sdtmndt0(xr,xr))
| aNaturalNumber0(sK5(xn,sdtmndt0(xr,xr)))
| sP1(sdtmndt0(xr,xn),sdtmndt0(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn)))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(global_subsumption_just,[status(thm)],[c_31100,c_10489,c_28120,c_31100]) ).
tcf(c_33771,plain,
( sP0(sdtmndt0(xr,xr))
| aNaturalNumber0(sK5(xn,sdtmndt0(xr,xr)))
| sP1(sdtmndt0(xr,xn),sdtmndt0(xr,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(renaming,[status(thm)],[c_33770]) ).
tcf(c_33786,plain,
( sP0(sK8(xr,xr))
| sP1(sdtmndt0(xr,xn),sK8(xr,xr))
| ( xn = xr )
| ( sdtasdt0(sK8(xr,xr),sK5(xn,sK8(xr,xr))) = xn )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn)))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(global_subsumption_just,[status(thm)],[c_23787,c_10489,c_23787,c_28120]) ).
tcf(c_33787,plain,
( sP0(sK8(xr,xr))
| sP1(sdtmndt0(xr,xn),sK8(xr,xr))
| ( xn = xr )
| ( sdtasdt0(sK8(xr,xr),sK5(xn,sK8(xr,xr))) = xn )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(renaming,[status(thm)],[c_33786]) ).
tcf(c_33818,plain,
( sP0(sK8(xr,xr))
| sP1(sK8(xn,xr),sK8(xr,xr))
| ( xn = xr )
| ( sdtasdt0(sK8(xr,xr),sK5(xn,sK8(xr,xr))) = xn )
| ~ aNaturalNumber0(sK8(xr,xr))
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sK8(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_28099,c_23821]) ).
tcf(c_33831,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xn,sdtasdt0(xp,sK6)),X0)
| ( xm = sz00 )
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,sdtasdt0(xp,sK6))))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11892,c_65]) ).
tcf(c_33832,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sK8(xn,sdtasdt0(xp,sK6)),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,sdtasdt0(xp,sK6))))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11892,c_63]) ).
tcf(c_33833,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK8(xn,sdtasdt0(xp,sK6)),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,sdtasdt0(xp,sK6))))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_11892,c_67]) ).
tcf(c_33836,plain,
( ( xm = sz00 )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(superposition,[status(thm)],[c_11892,c_91]) ).
tcf(c_33837,plain,
( ( xm = sz00 )
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(superposition,[status(thm)],[c_11892,c_90]) ).
tcf(c_33840,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xn,sdtasdt0(xp,sK6))),sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_109]) ).
tcf(c_33841,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_105]) ).
tcf(c_33842,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xn,sdtasdt0(xp,sK6)))
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_104]) ).
tcf(c_33843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(xn,X0))
| ( xm = sz00 )
| ( sK8(xn,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(sK8(xn,sdtasdt0(xp,sK6)),X0) ),
inference(superposition,[status(thm)],[c_11892,c_107]) ).
tcf(c_33844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ( sK8(xn,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(X0,sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_107]) ).
tcf(c_33845,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ( sdtpldt0(X0,sK8(xn,sdtasdt0(xp,sK6))) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_11892,c_114]) ).
tcf(c_33846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sK8(xn,sdtasdt0(xp,sK6))))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_109]) ).
tcf(c_33847,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK8(xn,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ( sdtpldt0(xn,X0) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_11892,c_113]) ).
tcf(c_33848,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ doDivides0(sK8(xn,sdtasdt0(xp,sK6)),xr)
| ~ doDivides0(sK8(xn,sdtasdt0(xp,sK6)),xn) ),
inference(superposition,[status(thm)],[c_11892,c_23971]) ).
tcf(c_33849,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ doDivides0(sK8(xn,sdtasdt0(xp,sK6)),xr)
| ~ doDivides0(sK8(xn,sdtasdt0(xp,sK6)),xn) ),
inference(superposition,[status(thm)],[c_11892,c_29849]) ).
tcf(c_33850,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(xr,sdtpldt0(xn,sK8(xn,sdtasdt0(xp,sK6))))
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_17334]) ).
tcf(c_33851,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(xr,sdtpldt0(xn,sK8(xn,sdtasdt0(xp,sK6))))
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_17132]) ).
tcf(c_33852,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,sK6))
| sdtlseqdt0(sK8(xn,sdtasdt0(xp,sK6)),sK8(xn,xr))
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_17077]) ).
tcf(c_33853,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,sK6))
| sdtlseqdt0(sK8(xn,sdtasdt0(xp,sK6)),sdtmndt0(xr,xn))
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_17017]) ).
tcf(c_33854,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(sK8(xn,xr),sK8(xn,sdtasdt0(xp,sK6)))
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_16980]) ).
tcf(c_33855,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sK8(xn,sdtasdt0(xp,sK6)))
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_16944]) ).
tcf(c_33856,plain,
( ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != xr ) ),
inference(superposition,[status(thm)],[c_11892,c_14479]) ).
tcf(c_33857,plain,
( ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != xr ) ),
inference(superposition,[status(thm)],[c_11892,c_14467]) ).
tcf(c_33858,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33837,c_11487,c_49]) ).
tcf(c_33862,plain,
( ( xm = sz00 )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33836,c_49]) ).
tcf(c_33867,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK8(xn,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ( sdtpldt0(xn,X0) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33847,c_49]) ).
tcf(c_33873,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ( sdtpldt0(X0,sK8(xn,sdtasdt0(xp,sK6))) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33845,c_49]) ).
tcf(c_33879,plain,
! [X0: $i] :
( doDivides0(X0,sK8(xn,sdtasdt0(xp,sK6)))
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33842,c_49]) ).
tcf(c_33886,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sK8(xn,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33841,c_49]) ).
tcf(c_33893,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sK8(xn,sdtasdt0(xp,sK6))))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33846,c_49]) ).
tcf(c_33900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK8(xn,sdtasdt0(xp,sK6))),sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33840,c_49]) ).
tcf(c_33919,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ( sK8(xn,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(X0,sK8(xn,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33844,c_49]) ).
tcf(c_33926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(xn,X0))
| ( xm = sz00 )
| ( sK8(xn,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(sK8(xn,sdtasdt0(xp,sK6)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33843,c_49]) ).
tcf(c_33975,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK8(xn,sdtasdt0(xp,sK6)),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,sdtasdt0(xp,sK6))))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33833,c_49]) ).
tcf(c_33992,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sK8(xn,sdtasdt0(xp,sK6)),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,sdtasdt0(xp,sK6))))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33832,c_49]) ).
tcf(c_34001,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sK8(xn,sdtasdt0(xp,sK6)),X0)
| ( xm = sz00 )
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ doDivides0(X0,sdtasdt0(xn,sK8(xn,sdtasdt0(xp,sK6))))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33831,c_49]) ).
tcf(c_34135,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xr,sz10),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xr,sz10)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_33453,c_65]) ).
tcf(c_34136,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(xr,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xr,sz10)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_33453,c_63]) ).
tcf(c_34137,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(xr,sz10),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xr,sz10)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_33453,c_67]) ).
tcf(c_34141,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_33453,c_90]) ).
tcf(c_34144,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,sz10)),xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_33453,c_109]) ).
tcf(c_34145,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtmndt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_33453,c_105]) ).
tcf(c_34146,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_33453,c_104]) ).
tcf(c_34147,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( sdtmndt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ sdtlseqdt0(sdtmndt0(xr,sz10),X0) ),
inference(superposition,[status(thm)],[c_33453,c_107]) ).
tcf(c_34148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( sdtmndt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_33453,c_107]) ).
tcf(c_34149,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sdtpldt0(X0,sdtmndt0(xr,sz10)) != xr ) ),
inference(superposition,[status(thm)],[c_33453,c_114]) ).
tcf(c_34150,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_33453,c_109]) ).
tcf(c_34151,plain,
! [X0: $i] :
( ( sdtmndt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_33453,c_113]) ).
tcf(c_34152,plain,
( ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34141,c_103,c_102]) ).
tcf(c_34155,plain,
! [X0: $i] :
( ( sdtmndt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34151,c_102]) ).
tcf(c_34160,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ( sdtpldt0(X0,sdtmndt0(xr,sz10)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34149,c_102]) ).
tcf(c_34165,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xr,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34146,c_102]) ).
tcf(c_34171,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtmndt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34145,c_102]) ).
tcf(c_34177,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sdtmndt0(xr,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34150,c_102]) ).
tcf(c_34183,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,sz10)),xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34144,c_102]) ).
tcf(c_34189,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( sdtmndt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34148,c_102]) ).
tcf(c_34195,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( sdtmndt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ sdtlseqdt0(sdtmndt0(xr,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34147,c_102]) ).
tcf(c_34201,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(xr,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xr,sz10)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34137,c_102]) ).
tcf(c_34209,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(xr,sz10),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xr,sz10)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34136,c_102]) ).
tcf(c_34217,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xr,sz10),X0)
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xr,sz10)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34135,c_102]) ).
tcf(c_34241,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK7,X1)
| ~ doDivides0(sK7,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_105,c_12624]) ).
tcf(c_34242,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK7,X0))
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK7,X0)) ),
inference(superposition,[status(thm)],[c_209,c_12624]) ).
tcf(c_34245,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK7)
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_12624]) ).
tcf(c_34246,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(sK7)
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_29568,c_12624]) ).
tcf(c_34247,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK7,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK7,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34242,c_76]) ).
tcf(c_34251,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34246,c_76]) ).
tcf(c_34257,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34245,c_76]) ).
tcf(c_34263,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK7,X1)
| ~ doDivides0(sK7,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34241,c_76]) ).
tcf(c_34278,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_105,c_12628]) ).
tcf(c_34279,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xr,X0))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,X0)) ),
inference(superposition,[status(thm)],[c_209,c_12628]) ).
tcf(c_34282,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ doDivides0(xr,xr)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_12628]) ).
tcf(c_34283,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ doDivides0(xr,xr)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_29568,c_12628]) ).
tcf(c_34284,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xr,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34279,c_79]) ).
tcf(c_34288,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34283,c_79,c_10974]) ).
tcf(c_34293,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34282,c_79,c_10974]) ).
tcf(c_34298,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_34278,c_79]) ).
tcf(c_34313,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK6,X1)
| ~ doDivides0(sK6,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_105,c_12632]) ).
tcf(c_34314,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK6,X0))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK6,X0)) ),
inference(superposition,[status(thm)],[c_209,c_12632]) ).
tcf(c_34317,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sK6)
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_12632]) ).
tcf(c_34318,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(sK6)
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_29568,c_12632]) ).
tcf(c_34319,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sK6,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34314,c_73]) ).
tcf(c_34323,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34318,c_73]) ).
tcf(c_34329,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34317,c_73]) ).
tcf(c_34335,plain,
! [X0: $i,X1: $i] :
( doDivides0(sz10,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK6,X1)
| ~ doDivides0(sK6,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34313,c_73]) ).
tcf(c_34350,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_105,c_12636]) ).
tcf(c_34351,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(superposition,[status(thm)],[c_209,c_12636]) ).
tcf(c_34355,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_12636]) ).
tcf(c_34356,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_29568,c_12636]) ).
tcf(c_34357,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xp,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34351,c_51]) ).
tcf(c_34361,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34356,c_51]) ).
tcf(c_34367,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34355,c_51]) ).
tcf(c_34373,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_34350,c_51]) ).
tcf(c_34388,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_105,c_12640]) ).
tcf(c_34389,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_209,c_12640]) ).
tcf(c_34392,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_12640]) ).
tcf(c_34393,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_29568,c_12640]) ).
tcf(c_34394,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34389,c_50]) ).
tcf(c_34398,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34393,c_50]) ).
tcf(c_34404,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34392,c_50]) ).
tcf(c_34410,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_34388,c_50]) ).
tcf(c_34431,plain,
( ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sdtmndt0(xr,xn) )
| ( sdtasdt0(xp,sK6) != xr )
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(global_subsumption_just,[status(thm)],[c_33857,c_10489,c_28120,c_33857]) ).
tcf(c_34432,plain,
( ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != xr ) ),
inference(renaming,[status(thm)],[c_34431]) ).
tcf(c_34459,plain,
( sP0(sdtmndt0(xr,xr))
| sP1(sK8(xn,xr),sdtmndt0(xr,xr))
| ( xn = xr )
| ( sdtasdt0(sdtmndt0(xr,xr),sK5(xn,sdtmndt0(xr,xr))) = xn )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_28099,c_31097]) ).
tcf(c_34468,plain,
( sP0(sdtmndt0(xr,xr))
| sP1(sdtmndt0(xr,xn),sdtmndt0(xr,xr))
| ( xn = xr )
| ( sdtasdt0(sdtmndt0(xr,xr),sK5(xn,sdtmndt0(xr,xr))) = xn )
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn)))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(global_subsumption_just,[status(thm)],[c_31098,c_10489,c_28120,c_31098]) ).
tcf(c_34469,plain,
( sP0(sdtmndt0(xr,xr))
| sP1(sdtmndt0(xr,xn),sdtmndt0(xr,xr))
| ( xn = xr )
| ( sdtasdt0(sdtmndt0(xr,xr),sK5(xn,sdtmndt0(xr,xr))) = xn )
| ~ aNaturalNumber0(sdtmndt0(xr,xr))
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sdtmndt0(xr,xr),sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(renaming,[status(thm)],[c_34468]) ).
tcf(c_34492,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( xn = xr )
| ( sdtpldt0(X1,sK8(X1,xr)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_13081,c_141]) ).
tcf(c_34493,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(xn,sdtmndt0(X0,xn)) = X0 )
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13081,c_146]) ).
tcf(c_34494,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_13081,c_142]) ).
tcf(c_34495,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13081,c_112]) ).
tcf(c_34496,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13081,c_120]) ).
tcf(c_34500,plain,
( ( xn = xr )
| ( xn = xp )
| ( sdtpldt0(xp,sK8(xp,xr)) = xr )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_13081,c_12268]) ).
tcf(c_34503,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(sdtmndt0(xr,xn),sK8(sdtmndt0(xr,xn),xr)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_13081,c_28115]) ).
tcf(c_34504,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(sdtmndt0(xr,xn),sK8(sdtmndt0(xr,xn),xr)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_13081,c_16231]) ).
tcf(c_34505,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(sK8(xn,xr),sK8(sK8(xn,xr),xr)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13081,c_16245]) ).
tcf(c_34506,plain,
( ( xn = xr )
| ( xn = xp )
| ( sdtpldt0(xp,sK8(xp,xr)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34500,c_51]) ).
tcf(c_34510,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34496,c_49]) ).
tcf(c_34516,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34495,c_49]) ).
tcf(c_34521,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34494,c_49]) ).
tcf(c_34527,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(xn,sdtmndt0(X0,xn)) = X0 )
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34493,c_49]) ).
tcf(c_34532,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( xn = xr )
| ( sdtpldt0(X1,sK8(X1,xr)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34492,c_49]) ).
tcf(c_34539,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(sK8(xn,xr),sK8(sK8(xn,xr),xr)) = xr )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34505,c_49]) ).
tcf(c_34545,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(sdtmndt0(xr,xn),sK8(sdtmndt0(xr,xn),xr)) = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34504,c_49]) ).
tcf(c_34551,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(sdtmndt0(xr,xn),sK8(sdtmndt0(xr,xn),xr)) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34503,c_49]) ).
tcf(c_34681,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( xn = xr )
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_13086,c_79,c_49,c_83,c_11032,c_21251]) ).
tcf(c_34682,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(renaming,[status(thm)],[c_34681]) ).
tcf(c_34691,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xr,X0))
| ( xn = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,X0)) ),
inference(superposition,[status(thm)],[c_84,c_34682]) ).
tcf(c_34693,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xr,X0))
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,X0)) ),
inference(superposition,[status(thm)],[c_212,c_34682]) ).
tcf(c_34695,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_34682]) ).
tcf(c_34698,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ doDivides0(xr,xr)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_14736,c_34682]) ).
tcf(c_34700,plain,
( sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ doDivides0(xr,xr)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_14815,c_34682]) ).
tcf(c_34702,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| sdtlseqdt0(X0,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17077,c_34682]) ).
tcf(c_34703,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17017,c_34682]) ).
tcf(c_34704,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30809,c_34682]) ).
tcf(c_34705,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sdtmndt0(xr,xn),X0) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtmndt0(xr,xn),X0))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30596,c_34682]) ).
tcf(c_34706,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( X0 = sz00 )
| ( sdtasdt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sK8(xn,xr),X0))) ),
inference(superposition,[status(thm)],[c_30879,c_34682]) ).
tcf(c_34707,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0)))
| ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sK8(xn,xr),X0))) ),
inference(superposition,[status(thm)],[c_30668,c_34682]) ).
tcf(c_34708,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK8(xn,xr)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_18067,c_34682]) ).
tcf(c_34709,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_29588,c_34682]) ).
tcf(c_34711,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xr,X0))
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34693,c_79]) ).
tcf(c_34716,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xr,X0))
| ( xn = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34691,c_79]) ).
tcf(c_34728,plain,
( sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34700,c_79,c_10974]) ).
tcf(c_34734,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34698,c_79,c_10974]) ).
tcf(c_34799,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK8(xn,xr)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34708,c_119]) ).
tcf(c_34819,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_34799]) ).
tcf(c_34820,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK8(xn,xr)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_34799,c_141]) ).
tcf(c_34821,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xn,sdtmndt0(sdtpldt0(X0,sK8(xn,xr)),xn)) = sdtpldt0(X0,sK8(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_34799,c_146]) ).
tcf(c_34822,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xr)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK8(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_34799,c_142]) ).
tcf(c_34823,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xn,sK8(xn,sdtpldt0(X0,sK8(xn,xr)))) = sdtpldt0(X0,sK8(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_34799,c_112]) ).
tcf(c_34824,plain,
! [X0: $i] :
( iLess0(xn,sdtpldt0(X0,sK8(xn,xr)))
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xr)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_34799,c_120]) ).
tcf(c_34831,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK8(xn,xr)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34820,c_49]) ).
tcf(c_34841,plain,
! [X0: $i] :
( iLess0(xn,sdtpldt0(X0,sK8(xn,xr)))
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xr)) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34824,c_49]) ).
tcf(c_34850,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xn,sK8(xn,sdtpldt0(X0,sK8(xn,xr)))) = sdtpldt0(X0,sK8(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34823,c_49]) ).
tcf(c_34858,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sK8(xn,xr)) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK8(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34822,c_49]) ).
tcf(c_34867,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xn,sdtmndt0(sdtpldt0(X0,sK8(xn,xr)),xn)) = sdtpldt0(X0,sK8(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34821,c_49]) ).
tcf(c_34883,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( xn = xr )
| ( sdtpldt0(X1,sdtmndt0(xr,X1)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_13092,c_141]) ).
tcf(c_34884,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(xn,sdtmndt0(X0,xn)) = X0 )
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13092,c_146]) ).
tcf(c_34885,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_13092,c_142]) ).
tcf(c_34886,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13092,c_112]) ).
tcf(c_34887,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13092,c_120]) ).
tcf(c_34891,plain,
( ( xn = xr )
| ( xn = xp )
| ( sdtpldt0(xp,sdtmndt0(xr,xp)) = xr )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_13092,c_12268]) ).
tcf(c_34894,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(sdtmndt0(xr,xn),sdtmndt0(xr,sdtmndt0(xr,xn))) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_13092,c_28115]) ).
tcf(c_34895,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(sdtmndt0(xr,xn),sdtmndt0(xr,sdtmndt0(xr,xn))) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_13092,c_16231]) ).
tcf(c_34896,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(sK8(xn,xr),sdtmndt0(xr,sK8(xn,xr))) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13092,c_16245]) ).
tcf(c_34897,plain,
( ( xn = xr )
| ( xn = xp )
| ( sdtpldt0(xp,sdtmndt0(xr,xp)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34891,c_51]) ).
tcf(c_34901,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34887,c_49]) ).
tcf(c_34907,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34886,c_49]) ).
tcf(c_34912,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34885,c_49]) ).
tcf(c_34918,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(xn,sdtmndt0(X0,xn)) = X0 )
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34884,c_49]) ).
tcf(c_34923,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( xn = xr )
| ( sdtpldt0(X1,sdtmndt0(xr,X1)) = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34883,c_49]) ).
tcf(c_34930,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(sK8(xn,xr),sdtmndt0(xr,sK8(xn,xr))) = xr )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34896,c_49]) ).
tcf(c_34936,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(sdtmndt0(xr,xn),sdtmndt0(xr,sdtmndt0(xr,xn))) = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34895,c_49]) ).
tcf(c_34942,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(sdtmndt0(xr,xn),sdtmndt0(xr,sdtmndt0(xr,xn))) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34894,c_49]) ).
tcf(c_35060,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xn,sdtasdt0(xp,sK6)),X0)
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,sdtasdt0(xp,sK6))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12111,c_64]) ).
tcf(c_35061,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sK9(xn,sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,sdtasdt0(xp,sK6))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12111,c_62]) ).
tcf(c_35062,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK9(xn,sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,sdtasdt0(xp,sK6))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12111,c_66]) ).
tcf(c_35065,plain,
( ( xn = sz00 )
| ( sK9(xn,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(superposition,[status(thm)],[c_12111,c_89]) ).
tcf(c_35066,plain,
( ( xn = sz10 )
| ( xn = xp )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != xp ) ),
inference(superposition,[status(thm)],[c_12111,c_70]) ).
tcf(c_35069,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK5(X0,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12111,c_64]) ).
tcf(c_35070,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK5(X0,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12111,c_62]) ).
tcf(c_35071,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12111,c_66]) ).
tcf(c_35072,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,sK6))
| ( sK9(xn,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_12111,c_84]) ).
tcf(c_35073,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(X0,sK9(xn,sdtasdt0(xp,sK6))))
| ( X0 = xn )
| ( sK9(xn,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_12111,c_88]) ).
tcf(c_35074,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK9(xn,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xn,X0) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12111,c_92]) ).
tcf(c_35075,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK9(xn,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(sK9(xn,sdtasdt0(xp,sK6)),X0) ),
inference(superposition,[status(thm)],[c_12111,c_86]) ).
tcf(c_35076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xp,sK6))
| ( xn = sz00 )
| ( sK9(xn,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(X0,sK9(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_12111,c_86]) ).
tcf(c_35077,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK9(xn,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(X0,sK9(xn,sdtasdt0(xp,sK6))) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12111,c_93]) ).
tcf(c_35078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xn,sdtasdt0(xp,sK6))),sdtasdt0(xp,sK6))
| ( X0 = xn )
| ( sK9(xn,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_12111,c_88]) ).
tcf(c_35079,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,sK6))
| ( sK9(xn,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35072,c_49]) ).
tcf(c_35083,plain,
( ( xn = sz10 )
| ( xn = xp )
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35066,c_49]) ).
tcf(c_35088,plain,
( ( sK9(xn,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35065,c_11487,c_49]) ).
tcf(c_35092,plain,
! [X0: $i] :
( ( sK9(xn,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(xn,X0) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35074,c_11487,c_49]) ).
tcf(c_35097,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK9(xn,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ( sdtasdt0(X0,sK9(xn,sdtasdt0(xp,sK6))) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35077,c_49]) ).
tcf(c_35103,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK9(xn,sdtasdt0(xp,sK6))),sdtasdt0(xp,sK6))
| ( X0 = xn )
| ( sK9(xn,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35078,c_49]) ).
tcf(c_35110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xp,sK6))
| ( sK9(xn,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(X0,sK9(xn,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35076,c_11487,c_49]) ).
tcf(c_35116,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(xn,X0))
| ( sK9(xn,sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(sK9(xn,sdtasdt0(xp,sK6)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35075,c_11487,c_49]) ).
tcf(c_35122,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtasdt0(X0,sK9(xn,sdtasdt0(xp,sK6))))
| ( X0 = xn )
| ( sK9(xn,sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35073,c_49]) ).
tcf(c_35129,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| doDivides0(xn,X0)
| sP1(X1,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35071,c_49]) ).
tcf(c_35138,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| aNaturalNumber0(sK5(X0,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35070,c_49]) ).
tcf(c_35147,plain,
! [X0: $i,X1: $i] :
( sP0(xn)
| sP1(X1,xn)
| ( sdtasdt0(xn,sK5(X0,xn)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),xn),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35069,c_49]) ).
tcf(c_35156,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sK9(xn,sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,sdtasdt0(xp,sK6))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35062,c_49]) ).
tcf(c_35165,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sK9(xn,sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,sdtasdt0(xp,sK6))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35061,c_49]) ).
tcf(c_35174,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| sP1(sK9(xn,sdtasdt0(xp,sK6)),X0)
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK9(xn,sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sK9(xn,sdtasdt0(xp,sK6))),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtasdt0(X0,X1) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35060,c_49]) ).
tcf(c_35197,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_105,c_12644]) ).
tcf(c_35198,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xn,X0))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_209,c_12644]) ).
tcf(c_35202,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xn,xr)
| ~ doDivides0(xn,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_12644]) ).
tcf(c_35203,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xn,xr)
| ~ doDivides0(xn,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_29568,c_12644]) ).
tcf(c_35204,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(xn,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35198,c_49]) ).
tcf(c_35208,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35203,c_49,c_10962]) ).
tcf(c_35213,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35202,c_49,c_10962]) ).
tcf(c_35218,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_35197,c_49]) ).
tcf(c_35233,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_105,c_12648]) ).
tcf(c_35234,plain,
! [X0: $i] :
( doDivides0(xr,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_209,c_12648]) ).
tcf(c_35236,plain,
( doDivides0(xr,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_12648]) ).
tcf(c_35237,plain,
( doDivides0(xr,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_29568,c_12648]) ).
tcf(c_35238,plain,
! [X0: $i] :
( doDivides0(xr,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35234,c_98]) ).
tcf(c_35242,plain,
( doDivides0(xr,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35237,c_98]) ).
tcf(c_35248,plain,
( doDivides0(xr,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35236,c_98]) ).
tcf(c_35254,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_35233,c_98]) ).
tcf(c_35269,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK7,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_105,c_12652]) ).
tcf(c_35270,plain,
! [X0: $i] :
( doDivides0(sK7,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_209,c_12652]) ).
tcf(c_35272,plain,
( doDivides0(sK7,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_12652]) ).
tcf(c_35273,plain,
( doDivides0(sK7,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_29568,c_12652]) ).
tcf(c_35274,plain,
! [X0: $i] :
( doDivides0(sK7,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35270,c_98]) ).
tcf(c_35278,plain,
( doDivides0(sK7,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35273,c_98]) ).
tcf(c_35284,plain,
( doDivides0(sK7,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35272,c_98]) ).
tcf(c_35290,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK7,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35269,c_98]) ).
tcf(c_35361,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK6,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_105,c_12656]) ).
tcf(c_35362,plain,
! [X0: $i] :
( doDivides0(sK6,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_209,c_12656]) ).
tcf(c_35364,plain,
( doDivides0(sK6,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_12656]) ).
tcf(c_35365,plain,
( doDivides0(sK6,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_29568,c_12656]) ).
tcf(c_35366,plain,
! [X0: $i] :
( doDivides0(sK6,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35362,c_98]) ).
tcf(c_35370,plain,
( doDivides0(sK6,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35365,c_98]) ).
tcf(c_35376,plain,
( doDivides0(sK6,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35364,c_98]) ).
tcf(c_35382,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK6,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X1)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35361,c_98]) ).
tcf(c_35397,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_105,c_12660]) ).
tcf(c_35398,plain,
! [X0: $i] :
( doDivides0(xp,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_209,c_12660]) ).
tcf(c_35400,plain,
( doDivides0(xp,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_12660]) ).
tcf(c_35401,plain,
( doDivides0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_29568,c_12660]) ).
tcf(c_35402,plain,
! [X0: $i] :
( doDivides0(xp,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35398,c_98]) ).
tcf(c_35406,plain,
( doDivides0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35401,c_98]) ).
tcf(c_35412,plain,
( doDivides0(xp,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35400,c_98]) ).
tcf(c_35418,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_35397,c_98]) ).
tcf(c_35433,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_105,c_12664]) ).
tcf(c_35434,plain,
! [X0: $i] :
( doDivides0(xm,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_209,c_12664]) ).
tcf(c_35436,plain,
( doDivides0(xm,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_12664]) ).
tcf(c_35437,plain,
( doDivides0(xm,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_29568,c_12664]) ).
tcf(c_35438,plain,
! [X0: $i] :
( doDivides0(xm,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35434,c_98]) ).
tcf(c_35442,plain,
( doDivides0(xm,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35437,c_98]) ).
tcf(c_35448,plain,
( doDivides0(xm,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35436,c_98]) ).
tcf(c_35454,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_35433,c_98]) ).
tcf(c_35469,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_105,c_12668]) ).
tcf(c_35470,plain,
! [X0: $i] :
( doDivides0(xn,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_209,c_12668]) ).
tcf(c_35472,plain,
( doDivides0(xn,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_12668]) ).
tcf(c_35473,plain,
( doDivides0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_29568,c_12668]) ).
tcf(c_35474,plain,
! [X0: $i] :
( doDivides0(xn,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35470,c_98]) ).
tcf(c_35478,plain,
( doDivides0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35473,c_98]) ).
tcf(c_35484,plain,
( doDivides0(xn,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35472,c_98]) ).
tcf(c_35490,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_35469,c_98]) ).
tcf(c_35505,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_105,c_12672]) ).
tcf(c_35506,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_209,c_12672]) ).
tcf(c_35508,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13984,c_12672]) ).
tcf(c_35509,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_29568,c_12672]) ).
tcf(c_35510,plain,
! [X0: $i] :
( doDivides0(sz10,sdtasdt0(sz00,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35506,c_98]) ).
tcf(c_35514,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35509,c_98]) ).
tcf(c_35520,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35508,c_98]) ).
tcf(c_35526,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_35505,c_98]) ).
tcf(c_35543,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,X1)) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_13097,c_141]) ).
tcf(c_35544,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13097,c_146]) ).
tcf(c_35545,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xr )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_13097,c_142]) ).
tcf(c_35546,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13097,c_112]) ).
tcf(c_35547,plain,
! [X0: $i] :
( iLess0(X0,xr)
| ( xn = xr )
| ( X0 = xr )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13097,c_120]) ).
tcf(c_35549,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,sK8(xn,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13097,c_16287]) ).
tcf(c_35550,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,sK8(xn,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_13097,c_28114]) ).
tcf(c_35551,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,sK8(xn,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_13097,c_16273]) ).
tcf(c_35552,plain,
! [X0: $i] :
( iLess0(X0,xr)
| ( xn = xr )
| ( X0 = xr )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35547,c_79]) ).
tcf(c_35559,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xr )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35545,c_79]) ).
tcf(c_35566,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35543,c_79]) ).
tcf(c_35573,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,sK8(xn,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35551,c_79]) ).
tcf(c_35579,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,sK8(xn,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35549,c_79]) ).
tcf(c_35585,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,sK8(xn,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35550,c_79]) ).
tcf(c_35602,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtpldt0(xn,sdtmndt0(X1,xn)) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_13108,c_141]) ).
tcf(c_35603,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(xn,sdtmndt0(X0,xn)) = X0 )
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13108,c_146]) ).
tcf(c_35604,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xr )
| ( sdtpldt0(xn,sdtmndt0(X0,xn)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_13108,c_142]) ).
tcf(c_35605,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(xn,sdtmndt0(X0,xn)) = X0 )
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13108,c_112]) ).
tcf(c_35606,plain,
! [X0: $i] :
( iLess0(X0,xr)
| ( xn = xr )
| ( X0 = xr )
| ( sdtpldt0(xn,sdtmndt0(X0,xn)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13108,c_120]) ).
tcf(c_35608,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,sdtmndt0(sK8(xn,xr),xn)) = sK8(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_13108,c_16287]) ).
tcf(c_35609,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,sdtmndt0(sdtmndt0(xr,xn),xn)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_13108,c_28114]) ).
tcf(c_35610,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,sdtmndt0(sdtmndt0(xr,xn),xn)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_13108,c_16273]) ).
tcf(c_35611,plain,
! [X0: $i] :
( iLess0(X0,xr)
| ( xn = xr )
| ( X0 = xr )
| ( sdtpldt0(xn,sdtmndt0(X0,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35606,c_79]) ).
tcf(c_35618,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xr )
| ( sdtpldt0(xn,sdtmndt0(X0,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35604,c_79]) ).
tcf(c_35625,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtpldt0(xn,sdtmndt0(X1,xn)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35602,c_79]) ).
tcf(c_35632,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,sdtmndt0(sdtmndt0(xr,xn),xn)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35610,c_79]) ).
tcf(c_35638,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,sdtmndt0(sK8(xn,xr),xn)) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35608,c_79]) ).
tcf(c_35644,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,sdtmndt0(sdtmndt0(xr,xn),xn)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35609,c_79]) ).
tcf(c_35659,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_34293]) ).
tcf(c_35661,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_34293,c_128]) ).
tcf(c_35662,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_34293,c_123]) ).
tcf(c_35663,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_34293,c_127]) ).
tcf(c_35669,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35663,c_102]) ).
tcf(c_35675,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35662,c_102]) ).
tcf(c_35680,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35661,c_102]) ).
tcf(c_35703,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_35213]) ).
tcf(c_35705,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_35213,c_128]) ).
tcf(c_35706,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35213,c_123]) ).
tcf(c_35707,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35213,c_127]) ).
tcf(c_35713,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35707,c_102]) ).
tcf(c_35719,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35706,c_102]) ).
tcf(c_35724,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35705,c_102]) ).
tcf(c_35747,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(xr,xn) ),
inference(global_subsumption_just,[status(thm)],[c_35659,c_10489,c_28120,c_34288]) ).
tcf(c_35756,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_35747,c_128]) ).
tcf(c_35757,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_35747,c_123]) ).
tcf(c_35758,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_35747,c_127]) ).
tcf(c_35760,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35758,c_102]) ).
tcf(c_35766,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35757,c_102]) ).
tcf(c_35771,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35756,c_102]) ).
tcf(c_35843,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(xn,xr) ),
inference(global_subsumption_just,[status(thm)],[c_35703,c_10489,c_28120,c_35208]) ).
tcf(c_35852,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_35843,c_128]) ).
tcf(c_35853,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_35843,c_123]) ).
tcf(c_35854,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_35843,c_127]) ).
tcf(c_35856,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35854,c_102]) ).
tcf(c_35862,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35853,c_102]) ).
tcf(c_35867,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35852,c_102]) ).
tcf(c_35887,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( xn = xr )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_13113]) ).
tcf(c_35888,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_13113]) ).
tcf(c_35889,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,X2))
| sdtlseqdt0(sdtasdt0(X0,X1),xr)
| ( xn = xr )
| ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_13113]) ).
tcf(c_35890,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtasdt0(X2,X1))
| sdtlseqdt0(sdtasdt0(X0,X1),xr)
| ( xn = xr )
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_88,c_13113]) ).
tcf(c_35892,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X0,X1),xr)
| ( xn = xr )
| ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_107,c_13113]) ).
tcf(c_35893,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X0,X1),xr)
| ( xn = xr )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_109,c_13113]) ).
tcf(c_35894,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( xn = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_212,c_13113]) ).
tcf(c_35896,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xr)
| sdtlseqdt0(X0,X1)
| ( xn = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_13113]) ).
tcf(c_35899,plain,
( sdtlseqdt0(xm,xr)
| sdtlseqdt0(xn,xm)
| ( xn = xr )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10297,c_13113]) ).
tcf(c_35900,plain,
( sdtlseqdt0(xp,xr)
| sdtlseqdt0(xn,xp)
| ( xn = xr )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_10299,c_13113]) ).
tcf(c_35901,plain,
( sdtlseqdt0(sK6,xr)
| sdtlseqdt0(xn,sK6)
| ( xn = xr )
| ~ aNaturalNumber0(sK6) ),
inference(superposition,[status(thm)],[c_10301,c_13113]) ).
tcf(c_35902,plain,
( sdtlseqdt0(sK7,xr)
| sdtlseqdt0(xn,sK7)
| ( xn = xr )
| ~ aNaturalNumber0(sK7) ),
inference(superposition,[status(thm)],[c_10303,c_13113]) ).
tcf(c_35919,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtpldt0(xn,sdtmndt0(X0,xn)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13108,c_13113]) ).
tcf(c_35920,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtpldt0(xn,sK8(xn,X0)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13097,c_13113]) ).
tcf(c_35921,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12933,c_13113]) ).
tcf(c_35924,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,sK6))
| sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| ( xn = xr )
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[status(thm)],[c_11530,c_13113]) ).
tcf(c_35925,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,X0)
| ( xn = xr )
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13092,c_13113]) ).
tcf(c_35926,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,X0)
| ( xn = xr )
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13081,c_13113]) ).
tcf(c_35927,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12933,c_13113]) ).
tcf(c_35929,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_14736,c_13113]) ).
tcf(c_35930,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_17017,c_13113]) ).
tcf(c_35931,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_14815,c_13113]) ).
tcf(c_35932,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sK8(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_17077,c_13113]) ).
tcf(c_35935,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_13113]) ).
tcf(c_35936,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_13113]) ).
tcf(c_35937,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_23971,c_13113]) ).
tcf(c_35938,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_29849,c_13113]) ).
tcf(c_35939,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtpldt0(xn,X0))
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17334,c_13113]) ).
tcf(c_35940,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtpldt0(xn,X0))
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_17132,c_13113]) ).
tcf(c_35941,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_16980,c_13113]) ).
tcf(c_35942,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_16944,c_13113]) ).
tcf(c_35949,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtpldt0(X0,sK8(xn,xr)),xr)
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_18020,c_13113]) ).
tcf(c_35950,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_29645,c_13113]) ).
tcf(c_35951,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,sdtpldt0(X0,sK8(xn,xr)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sK8(xn,xr))) ),
inference(superposition,[status(thm)],[c_34799,c_13113]) ).
tcf(c_35952,plain,
( sdtlseqdt0(sK7,xr)
| sdtlseqdt0(xn,sK7)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35902,c_76]) ).
tcf(c_35956,plain,
( sdtlseqdt0(sK6,xr)
| sdtlseqdt0(xn,sK6)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35901,c_73]) ).
tcf(c_35960,plain,
( sdtlseqdt0(xp,xr)
| sdtlseqdt0(xn,xp)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35900,c_51]) ).
tcf(c_35964,plain,
( sdtlseqdt0(xm,xr)
| sdtlseqdt0(xn,xm)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35899,c_50]) ).
tcf(c_35969,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,sK6))
| sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35924,c_10386]) ).
tcf(c_36240,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sK7,sz10),X0)
| ( sz00 = sK7 )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sK7,sz10)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12393,c_65]) ).
tcf(c_36241,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(sK7,sz10),X0)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sK7,sz10)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12393,c_63]) ).
tcf(c_36242,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(sK7,sz10),X0)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sK7,sz10)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12393,c_67]) ).
tcf(c_36249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sK7,sz10)),sK7)
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10)) ),
inference(superposition,[status(thm)],[c_12393,c_109]) ).
tcf(c_36250,plain,
! [X0: $i] :
( doDivides0(X0,sK7)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ~ doDivides0(X0,sdtmndt0(sK7,sz10)) ),
inference(superposition,[status(thm)],[c_12393,c_105]) ).
tcf(c_36251,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sK7,sz10))
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10)) ),
inference(superposition,[status(thm)],[c_12393,c_104]) ).
tcf(c_36252,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sz10,X0))
| ( sz00 = sK7 )
| ( sdtmndt0(sK7,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ~ sdtlseqdt0(sdtmndt0(sK7,sz10),X0) ),
inference(superposition,[status(thm)],[c_12393,c_107]) ).
tcf(c_36253,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sK7)
| ( sz00 = sK7 )
| ( sdtmndt0(sK7,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(sK7,sz10)) ),
inference(superposition,[status(thm)],[c_12393,c_107]) ).
tcf(c_36254,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ( sdtpldt0(X0,sdtmndt0(sK7,sz10)) != sK7 ) ),
inference(superposition,[status(thm)],[c_12393,c_114]) ).
tcf(c_36255,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sdtmndt0(sK7,sz10)))
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10)) ),
inference(superposition,[status(thm)],[c_12393,c_109]) ).
tcf(c_36256,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( sdtmndt0(sK7,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ( sdtpldt0(sz10,X0) != sK7 ) ),
inference(superposition,[status(thm)],[c_12393,c_113]) ).
tcf(c_36257,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( sdtmndt0(sK7,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ( sdtpldt0(sz10,X0) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36256,c_102]) ).
tcf(c_36263,plain,
! [X0: $i] :
( ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ( sdtpldt0(X0,sdtmndt0(sK7,sz10)) != sK7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36254,c_102]) ).
tcf(c_36269,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sK7,sz10))
| ( sz00 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK7)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36251,c_102]) ).
tcf(c_36276,plain,
! [X0: $i] :
( doDivides0(X0,sK7)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ~ doDivides0(X0,sdtmndt0(sK7,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36250,c_102]) ).
tcf(c_36283,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(X0,sdtmndt0(sK7,sz10)))
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36255,c_102]) ).
tcf(c_36290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sK7,sz10)),sK7)
| ( sz00 = sK7 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36249,c_102]) ).
tcf(c_36297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sK7)
| ( sz00 = sK7 )
| ( sdtmndt0(sK7,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(sK7,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36253,c_102]) ).
tcf(c_36304,plain,
! [X0: $i] :
( sdtlseqdt0(sK7,sdtpldt0(sz10,X0))
| ( sz00 = sK7 )
| ( sdtmndt0(sK7,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ~ sdtlseqdt0(sdtmndt0(sK7,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36252,c_102]) ).
tcf(c_36311,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(sK7,sz10),X0)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sK7,sz10)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36242,c_102]) ).
tcf(c_36320,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(sK7,sz10),X0)
| ( sz00 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sK7,sz10)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36241,c_102]) ).
tcf(c_36329,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sK7,sz10),X0)
| ( sz00 = sK7 )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK7,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sK7,sz10)))
| ~ iLess0(sdtpldt0(sK7,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36240,c_102]) ).
tcf(c_36425,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_12780]) ).
tcf(c_36431,plain,
( sdtlseqdt0(sK8(xn,xr),xn)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_12780]) ).
tcf(c_36432,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xn)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_12780]) ).
tcf(c_36433,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36425,c_102]) ).
tcf(c_36437,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xn)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36432,c_102]) ).
tcf(c_36443,plain,
( sdtlseqdt0(sK8(xn,xr),xn)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36431,c_102]) ).
tcf(c_36493,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_36433,c_141]) ).
tcf(c_36495,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36433,c_146]) ).
tcf(c_36496,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_36433,c_142]) ).
tcf(c_36497,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz10,sK8(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36433,c_112]) ).
tcf(c_36498,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36433,c_120]) ).
tcf(c_36504,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xn)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_36433,c_28115]) ).
tcf(c_36508,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_36433,c_141]) ).
tcf(c_36510,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36433,c_146]) ).
tcf(c_36511,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_36433,c_142]) ).
tcf(c_36512,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK8(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36433,c_112]) ).
tcf(c_36513,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36433,c_120]) ).
tcf(c_36516,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_36433,c_16287]) ).
tcf(c_36517,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_36433,c_28114]) ).
tcf(c_36518,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_36433,c_16273]) ).
tcf(c_36519,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36513,c_49]) ).
tcf(c_36524,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36498,c_102]) ).
tcf(c_36529,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK8(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36512,c_49]) ).
tcf(c_36533,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36511,c_49]) ).
tcf(c_36538,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36510,c_49]) ).
tcf(c_36542,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz10,sK8(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36497,c_102]) ).
tcf(c_36546,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36496,c_102]) ).
tcf(c_36551,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36495,c_102]) ).
tcf(c_36555,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_36508,c_49]) ).
tcf(c_36561,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_36493,c_102]) ).
tcf(c_36567,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36518,c_49]) ).
tcf(c_36573,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36516,c_49]) ).
tcf(c_36579,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36517,c_49]) ).
tcf(c_36586,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xn)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36504,c_102]) ).
tcf(c_36666,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_12784]) ).
tcf(c_36671,plain,
( sdtlseqdt0(sK8(xn,xr),sz10)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_12784]) ).
tcf(c_36672,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),sz10)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_12784]) ).
tcf(c_36673,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36666,c_98]) ).
tcf(c_36677,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sz10)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_36672,c_10234]) ).
tcf(c_36678,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sz10)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36677,c_98]) ).
tcf(c_36684,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),sz10)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(light_normalisation,[status(thm)],[c_36671,c_10234]) ).
tcf(c_36685,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),sz10)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36684,c_98]) ).
tcf(c_36697,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_36673,c_141]) ).
tcf(c_36699,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36673,c_146]) ).
tcf(c_36700,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_36673,c_142]) ).
tcf(c_36701,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36673,c_112]) ).
tcf(c_36702,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36673,c_120]) ).
tcf(c_36708,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),sz10)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_36673,c_28115]) ).
tcf(c_36711,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_36673,c_141]) ).
tcf(c_36712,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36673,c_13113]) ).
tcf(c_36713,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36673,c_146]) ).
tcf(c_36714,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_36673,c_142]) ).
tcf(c_36715,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36673,c_112]) ).
tcf(c_36716,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36673,c_120]) ).
tcf(c_36719,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36673,c_12780]) ).
tcf(c_36720,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36673,c_13016]) ).
tcf(c_36723,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sz10))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_36673,c_16287]) ).
tcf(c_36724,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sz10))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_36673,c_28114]) ).
tcf(c_36725,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sz10))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_36673,c_16273]) ).
tcf(c_36733,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36716,c_102]) ).
tcf(c_36738,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36702,c_98]) ).
tcf(c_36743,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,sz10)) = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36715,c_102]) ).
tcf(c_36747,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36714,c_102]) ).
tcf(c_36752,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36713,c_102]) ).
tcf(c_36756,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36701,c_98]) ).
tcf(c_36760,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36700,c_98]) ).
tcf(c_36765,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36699,c_98]) ).
tcf(c_36770,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_36711,c_102]) ).
tcf(c_36776,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_36697,c_98]) ).
tcf(c_36782,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sz10))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36725,c_102]) ).
tcf(c_36788,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sz10))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36723,c_102]) ).
tcf(c_36794,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sz10))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36724,c_102]) ).
tcf(c_36801,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sz10)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_36708,c_10234]) ).
tcf(c_36802,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sz10)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36801,c_98]) ).
tcf(c_36910,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_36719,c_141]) ).
tcf(c_36912,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36719,c_146]) ).
tcf(c_36913,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_36719,c_142]) ).
tcf(c_36914,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36719,c_112]) ).
tcf(c_36915,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36719,c_120]) ).
tcf(c_36921,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xn)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_36719,c_28115]) ).
tcf(c_36922,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xn)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_36719,c_16231]) ).
tcf(c_36923,plain,
( sdtlseqdt0(sK8(xn,xr),xn)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_36719,c_16245]) ).
tcf(c_36925,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_36719,c_141]) ).
tcf(c_36927,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36719,c_146]) ).
tcf(c_36928,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_36719,c_142]) ).
tcf(c_36929,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36719,c_112]) ).
tcf(c_36930,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36719,c_120]) ).
tcf(c_36933,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_36719,c_16287]) ).
tcf(c_36934,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_36719,c_28114]) ).
tcf(c_36935,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_36719,c_16273]) ).
tcf(c_36936,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36930,c_49]) ).
tcf(c_36941,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36915,c_98]) ).
tcf(c_36946,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36929,c_49]) ).
tcf(c_36950,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36928,c_49]) ).
tcf(c_36955,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36927,c_49]) ).
tcf(c_36959,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36914,c_98]) ).
tcf(c_36963,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36913,c_98]) ).
tcf(c_36968,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36912,c_98]) ).
tcf(c_36972,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_36925,c_49]) ).
tcf(c_36978,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_36910,c_98]) ).
tcf(c_36984,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36935,c_49]) ).
tcf(c_36990,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36933,c_49]) ).
tcf(c_36996,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),xn)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(light_normalisation,[status(thm)],[c_36923,c_10234]) ).
tcf(c_36997,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),xn)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36996,c_98]) ).
tcf(c_37003,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xn)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_36922,c_10234]) ).
tcf(c_37004,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xn)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37003,c_98]) ).
tcf(c_37010,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36934,c_49]) ).
tcf(c_37017,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xn)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_36921,c_10234]) ).
tcf(c_37018,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xn)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37017,c_98]) ).
tcf(c_37104,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_12788]) ).
tcf(c_37111,plain,
( sdtlseqdt0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_12788]) ).
tcf(c_37112,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_12788]) ).
tcf(c_37113,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37104,c_98]) ).
tcf(c_37117,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_37112,c_10234]) ).
tcf(c_37118,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37117,c_98]) ).
tcf(c_37124,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(light_normalisation,[status(thm)],[c_37111,c_10234]) ).
tcf(c_37125,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37124,c_98]) ).
tcf(c_37318,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_37113,c_141]) ).
tcf(c_37320,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37113,c_146]) ).
tcf(c_37321,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_37113,c_142]) ).
tcf(c_37322,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37113,c_112]) ).
tcf(c_37323,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37113,c_120]) ).
tcf(c_37330,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_37113,c_28115]) ).
tcf(c_37333,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_37113,c_141]) ).
tcf(c_37334,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37113,c_13113]) ).
tcf(c_37335,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37113,c_146]) ).
tcf(c_37336,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_37113,c_142]) ).
tcf(c_37337,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37113,c_112]) ).
tcf(c_37338,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37113,c_120]) ).
tcf(c_37340,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_37113,c_16287]) ).
tcf(c_37341,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_37113,c_28114]) ).
tcf(c_37342,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_37113,c_16273]) ).
tcf(c_37343,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37338,c_79]) ).
tcf(c_37348,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37323,c_98]) ).
tcf(c_37353,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37337,c_79]) ).
tcf(c_37357,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37336,c_79]) ).
tcf(c_37362,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37335,c_79]) ).
tcf(c_37366,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37322,c_98]) ).
tcf(c_37370,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37321,c_98]) ).
tcf(c_37375,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37320,c_98]) ).
tcf(c_37380,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_37333,c_79]) ).
tcf(c_37386,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_37318,c_98]) ).
tcf(c_37392,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37342,c_79]) ).
tcf(c_37398,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37340,c_79]) ).
tcf(c_37404,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37341,c_79]) ).
tcf(c_37411,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_37330,c_10234]) ).
tcf(c_37412,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37411,c_98]) ).
tcf(c_37463,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_12792]) ).
tcf(c_37471,plain,
( sdtlseqdt0(sK8(xn,xr),sK7)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_12792]) ).
tcf(c_37472,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),sK7)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_12792]) ).
tcf(c_37473,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37463,c_98]) ).
tcf(c_37477,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sK7)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_37472,c_10234]) ).
tcf(c_37478,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sK7)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37477,c_98]) ).
tcf(c_37484,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),sK7)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(light_normalisation,[status(thm)],[c_37471,c_10234]) ).
tcf(c_37485,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),sK7)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37484,c_98]) ).
tcf(c_37506,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_99,c_13120]) ).
tcf(c_37508,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xr)
| sdtlseqdt0(X0,X1)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_13120]) ).
tcf(c_37510,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10605,c_13120]) ).
tcf(c_37511,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,xr)
| sdtlseqdt0(X0,X1)
| ( xn = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36719,c_13120]) ).
tcf(c_37512,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,xr)
| sdtlseqdt0(X0,X1)
| ( xn = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36433,c_13120]) ).
tcf(c_37517,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37113,c_13120]) ).
tcf(c_37519,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36673,c_13120]) ).
tcf(c_37520,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| sdtlseqdt0(sK8(xn,xr),X0)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_13120]) ).
tcf(c_37521,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_13120]) ).
tcf(c_37538,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( xn = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37506,c_11487,c_102,c_49]) ).
tcf(c_37544,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37521,c_49]) ).
tcf(c_37552,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| sdtlseqdt0(sK8(xn,xr),X0)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37520,c_49]) ).
tcf(c_37570,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_34257]) ).
tcf(c_37572,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_34257,c_128]) ).
tcf(c_37573,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_34257,c_123]) ).
tcf(c_37574,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_34257,c_127]) ).
tcf(c_37581,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37574,c_102]) ).
tcf(c_37588,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37573,c_102]) ).
tcf(c_37594,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37572,c_102]) ).
tcf(c_37612,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_34329]) ).
tcf(c_37614,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_34329,c_128]) ).
tcf(c_37615,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_34329,c_123]) ).
tcf(c_37616,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_34329,c_127]) ).
tcf(c_37623,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37616,c_102]) ).
tcf(c_37630,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37615,c_102]) ).
tcf(c_37636,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37614,c_102]) ).
tcf(c_37654,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_34367]) ).
tcf(c_37656,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_34367,c_128]) ).
tcf(c_37657,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_34367,c_123]) ).
tcf(c_37658,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_34367,c_127]) ).
tcf(c_37665,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37658,c_102]) ).
tcf(c_37672,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37657,c_102]) ).
tcf(c_37678,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37656,c_102]) ).
tcf(c_37696,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_34404]) ).
tcf(c_37698,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_34404,c_128]) ).
tcf(c_37699,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_34404,c_123]) ).
tcf(c_37700,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_34404,c_127]) ).
tcf(c_37707,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37700,c_102]) ).
tcf(c_37714,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37699,c_102]) ).
tcf(c_37720,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37698,c_102]) ).
tcf(c_37785,plain,
( doDivides0(xr,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_35248]) ).
tcf(c_37786,plain,
( ( sz10 = xr )
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35248,c_138]) ).
tcf(c_37787,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_35248,c_128]) ).
tcf(c_37788,plain,
( ( xn = xr )
| ( sdtasdt0(xr,sK9(xr,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35248,c_123]) ).
tcf(c_37789,plain,
( sdtlseqdt0(xr,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35248,c_127]) ).
tcf(c_37797,plain,
( sdtlseqdt0(xr,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37789,c_79]) ).
tcf(c_37804,plain,
( ( xn = xr )
| ( sdtasdt0(xr,sK9(xr,sK8(xn,xr))) = sK8(xn,xr) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37788,c_79]) ).
tcf(c_37810,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37787,c_79]) ).
tcf(c_37818,plain,
( ( sz10 = xr )
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37786,c_79]) ).
tcf(c_37836,plain,
( doDivides0(sK7,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_35284]) ).
tcf(c_37837,plain,
( ( sz10 = sK7 )
| ( xn = xr )
| ( sK8(xn,xr) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35284,c_138]) ).
tcf(c_37838,plain,
! [X0: $i] :
( doDivides0(sK7,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_35284,c_128]) ).
tcf(c_37839,plain,
( ( xn = xr )
| ( sdtasdt0(sK7,sK9(sK7,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK7)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35284,c_123]) ).
tcf(c_37840,plain,
( sdtlseqdt0(sK7,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35284,c_127]) ).
tcf(c_37842,plain,
( doDivides0(sK7,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sK7)
| ~ doDivides0(sK7,xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35284,c_14140]) ).
tcf(c_37848,plain,
( doDivides0(sK7,xr)
| ( xn = xr )
| ~ doDivides0(sK7,xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37842,c_76]) ).
tcf(c_37855,plain,
( sdtlseqdt0(sK7,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37840,c_76]) ).
tcf(c_37862,plain,
( ( xn = xr )
| ( sdtasdt0(sK7,sK9(sK7,sK8(xn,xr))) = sK8(xn,xr) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37839,c_76]) ).
tcf(c_37868,plain,
! [X0: $i] :
( doDivides0(sK7,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37838,c_76]) ).
tcf(c_37876,plain,
( ( sz10 = sK7 )
| ( xn = xr )
| ( sK8(xn,xr) = sK7 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37837,c_76]) ).
tcf(c_37945,plain,
( doDivides0(sK6,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_35376]) ).
tcf(c_37946,plain,
( ( sz10 = sK6 )
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35376,c_138]) ).
tcf(c_37947,plain,
! [X0: $i] :
( doDivides0(sK6,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_35376,c_128]) ).
tcf(c_37948,plain,
( ( xn = xr )
| ( sdtasdt0(sK6,sK9(sK6,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK6)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35376,c_123]) ).
tcf(c_37949,plain,
( sdtlseqdt0(sK6,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35376,c_127]) ).
tcf(c_37951,plain,
( doDivides0(sK6,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sK6)
| ~ doDivides0(sK6,xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35376,c_14140]) ).
tcf(c_37957,plain,
( doDivides0(sK6,xr)
| ( xn = xr )
| ~ doDivides0(sK6,xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37951,c_73]) ).
tcf(c_37964,plain,
( sdtlseqdt0(sK6,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37949,c_73]) ).
tcf(c_37971,plain,
( ( xn = xr )
| ( sdtasdt0(sK6,sK9(sK6,sK8(xn,xr))) = sK8(xn,xr) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37948,c_73]) ).
tcf(c_37977,plain,
! [X0: $i] :
( doDivides0(sK6,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37947,c_73]) ).
tcf(c_37985,plain,
( ( sz10 = sK6 )
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37946,c_73]) ).
tcf(c_37999,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK7)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_37473,c_141]) ).
tcf(c_38001,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK7)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37473,c_146]) ).
tcf(c_38002,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK7)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_37473,c_142]) ).
tcf(c_38003,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK7)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37473,c_112]) ).
tcf(c_38004,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK7)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37473,c_120]) ).
tcf(c_38006,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK7)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37473,c_13120]) ).
tcf(c_38013,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),sK7)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_37473,c_28115]) ).
tcf(c_38016,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_37473,c_141]) ).
tcf(c_38017,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK7)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37473,c_13113]) ).
tcf(c_38018,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37473,c_146]) ).
tcf(c_38019,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0) ),
inference(superposition,[status(thm)],[c_37473,c_142]) ).
tcf(c_38020,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,sK7)) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37473,c_112]) ).
tcf(c_38021,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK7)
| ( X0 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37473,c_120]) ).
tcf(c_38023,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK7))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_37473,c_16287]) ).
tcf(c_38024,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK7))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_37473,c_28114]) ).
tcf(c_38025,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK7))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_37473,c_16273]) ).
tcf(c_38026,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK7)
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38021,c_76]) ).
tcf(c_38031,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK7)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38004,c_98]) ).
tcf(c_38036,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,sK7)) = sK7 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38020,c_76]) ).
tcf(c_38040,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK7 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK7,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38019,c_76]) ).
tcf(c_38045,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(sK7,X0)) = sK7 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38018,c_76]) ).
tcf(c_38049,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK7)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38003,c_98]) ).
tcf(c_38053,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK7)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38002,c_98]) ).
tcf(c_38058,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK7)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38001,c_98]) ).
tcf(c_38063,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK7)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38016,c_76]) ).
tcf(c_38069,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK7)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37999,c_98]) ).
tcf(c_38076,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK7))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK7 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38025,c_76]) ).
tcf(c_38082,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK7))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sK7 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38023,c_76]) ).
tcf(c_38088,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK7))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sK7 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38024,c_76]) ).
tcf(c_38095,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sK7)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_38013,c_10234]) ).
tcf(c_38096,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sK7)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38095,c_98]) ).
tcf(c_38195,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_12796]) ).
tcf(c_38204,plain,
( sdtlseqdt0(sK8(xn,xr),sK6)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_12796]) ).
tcf(c_38205,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),sK6)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_12796]) ).
tcf(c_38206,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38195,c_98]) ).
tcf(c_38210,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sK6)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_38205,c_10234]) ).
tcf(c_38211,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sK6)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38210,c_98]) ).
tcf(c_38217,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),sK6)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(light_normalisation,[status(thm)],[c_38204,c_10234]) ).
tcf(c_38218,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),sK6)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38217,c_98]) ).
tcf(c_38379,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK6)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_38206,c_141]) ).
tcf(c_38381,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38206,c_146]) ).
tcf(c_38382,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_38206,c_142]) ).
tcf(c_38383,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38206,c_112]) ).
tcf(c_38384,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38206,c_120]) ).
tcf(c_38386,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK6)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38206,c_13120]) ).
tcf(c_38394,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),sK6)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_38206,c_28115]) ).
tcf(c_38397,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_38206,c_141]) ).
tcf(c_38398,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK6)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38206,c_13113]) ).
tcf(c_38399,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38206,c_146]) ).
tcf(c_38400,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0) ),
inference(superposition,[status(thm)],[c_38206,c_142]) ).
tcf(c_38401,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,sK6)) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38206,c_112]) ).
tcf(c_38402,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK6)
| ( X0 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38206,c_120]) ).
tcf(c_38404,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK6))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_38206,c_16287]) ).
tcf(c_38405,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK6))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_38206,c_28114]) ).
tcf(c_38406,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK6))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_38206,c_16273]) ).
tcf(c_38407,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK6)
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38402,c_73]) ).
tcf(c_38412,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38384,c_98]) ).
tcf(c_38417,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,sK6)) = sK6 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38401,c_73]) ).
tcf(c_38421,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38400,c_73]) ).
tcf(c_38426,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(sK6,X0)) = sK6 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38399,c_73]) ).
tcf(c_38430,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38383,c_98]) ).
tcf(c_38434,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38382,c_98]) ).
tcf(c_38439,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK6)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38381,c_98]) ).
tcf(c_38444,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sK6)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38397,c_73]) ).
tcf(c_38450,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK6)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38379,c_98]) ).
tcf(c_38457,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK6))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38406,c_73]) ).
tcf(c_38463,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK6))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38404,c_73]) ).
tcf(c_38469,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK6))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38405,c_73]) ).
tcf(c_38476,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sK6)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_38394,c_10234]) ).
tcf(c_38477,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sK6)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38476,c_98]) ).
tcf(c_38494,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_12800]) ).
tcf(c_38504,plain,
( sdtlseqdt0(sK8(xn,xr),xp)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_12800]) ).
tcf(c_38505,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xp)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_12800]) ).
tcf(c_38506,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38494,c_98]) ).
tcf(c_38510,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xp)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_38505,c_10234]) ).
tcf(c_38511,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xp)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38510,c_98]) ).
tcf(c_38517,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),xp)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(light_normalisation,[status(thm)],[c_38504,c_10234]) ).
tcf(c_38518,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),xp)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38517,c_98]) ).
tcf(c_38530,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_38506,c_141]) ).
tcf(c_38532,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38506,c_146]) ).
tcf(c_38533,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_38506,c_142]) ).
tcf(c_38534,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38506,c_112]) ).
tcf(c_38535,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38506,c_120]) ).
tcf(c_38537,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38506,c_13120]) ).
tcf(c_38546,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xp)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_38506,c_28115]) ).
tcf(c_38549,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_38506,c_141]) ).
tcf(c_38550,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38506,c_13113]) ).
tcf(c_38551,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38506,c_146]) ).
tcf(c_38552,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_38506,c_142]) ).
tcf(c_38553,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38506,c_112]) ).
tcf(c_38554,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38506,c_120]) ).
tcf(c_38559,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_38506,c_16287]) ).
tcf(c_38560,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_38506,c_28114]) ).
tcf(c_38561,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_38506,c_16273]) ).
tcf(c_38562,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38554,c_51]) ).
tcf(c_38567,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38535,c_98]) ).
tcf(c_38572,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38553,c_51]) ).
tcf(c_38576,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38552,c_51]) ).
tcf(c_38581,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xp,X0)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38551,c_51]) ).
tcf(c_38585,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38534,c_98]) ).
tcf(c_38589,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38533,c_98]) ).
tcf(c_38594,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38532,c_98]) ).
tcf(c_38599,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_38549,c_51]) ).
tcf(c_38605,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_38530,c_98]) ).
tcf(c_38612,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38561,c_51]) ).
tcf(c_38618,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38559,c_51]) ).
tcf(c_38624,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38560,c_51]) ).
tcf(c_38631,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xp)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_38546,c_10234]) ).
tcf(c_38632,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xp)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38631,c_98]) ).
tcf(c_38649,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_12804]) ).
tcf(c_38660,plain,
( sdtlseqdt0(sK8(xn,xr),xm)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_12804]) ).
tcf(c_38661,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xm)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_12804]) ).
tcf(c_38662,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38649,c_98]) ).
tcf(c_38666,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xm)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_38661,c_10234]) ).
tcf(c_38667,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xm)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38666,c_98]) ).
tcf(c_38673,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),xm)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(light_normalisation,[status(thm)],[c_38660,c_10234]) ).
tcf(c_38674,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),xm)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38673,c_98]) ).
tcf(c_38686,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_38662,c_141]) ).
tcf(c_38688,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38662,c_146]) ).
tcf(c_38689,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_38662,c_142]) ).
tcf(c_38690,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38662,c_112]) ).
tcf(c_38691,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38662,c_120]) ).
tcf(c_38693,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38662,c_13120]) ).
tcf(c_38703,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xm)
| sdtlseqdt0(sdtpldt0(xn,sz00),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_38662,c_28115]) ).
tcf(c_38706,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_38662,c_141]) ).
tcf(c_38707,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38662,c_13113]) ).
tcf(c_38708,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xm,X0)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38662,c_146]) ).
tcf(c_38709,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_38662,c_142]) ).
tcf(c_38710,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38662,c_112]) ).
tcf(c_38711,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38662,c_120]) ).
tcf(c_38713,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xm))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_38662,c_16287]) ).
tcf(c_38714,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xm))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_38662,c_28114]) ).
tcf(c_38715,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xm))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_38662,c_16273]) ).
tcf(c_38716,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38711,c_50]) ).
tcf(c_38721,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38691,c_98]) ).
tcf(c_38726,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK8(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38710,c_50]) ).
tcf(c_38730,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38709,c_50]) ).
tcf(c_38735,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sdtmndt0(xm,X0)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38708,c_50]) ).
tcf(c_38739,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK8(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38690,c_98]) ).
tcf(c_38743,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38689,c_98]) ).
tcf(c_38748,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sdtmndt0(X0,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38688,c_98]) ).
tcf(c_38753,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_38706,c_50]) ).
tcf(c_38759,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_38686,c_98]) ).
tcf(c_38766,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xm))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38715,c_50]) ).
tcf(c_38772,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xm))
| sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38713,c_50]) ).
tcf(c_38778,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xm))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38714,c_50]) ).
tcf(c_38785,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xm)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(light_normalisation,[status(thm)],[c_38703,c_10234]) ).
tcf(c_38786,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xm)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38785,c_98]) ).
tcf(c_38922,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_12808]) ).
tcf(c_38947,plain,
( doDivides0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_35412]) ).
tcf(c_38948,plain,
( ( xp = sz10 )
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35412,c_138]) ).
tcf(c_38949,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_35412,c_128]) ).
tcf(c_38950,plain,
( ( xn = xr )
| ( sdtasdt0(xp,sK9(xp,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(xp)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35412,c_123]) ).
tcf(c_38951,plain,
( sdtlseqdt0(xp,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35412,c_127]) ).
tcf(c_38953,plain,
( doDivides0(xp,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35412,c_14140]) ).
tcf(c_38959,plain,
( doDivides0(xp,xr)
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38953,c_51]) ).
tcf(c_38966,plain,
( sdtlseqdt0(xp,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38951,c_51]) ).
tcf(c_38973,plain,
( ( xn = xr )
| ( sdtasdt0(xp,sK9(xp,sK8(xn,xr))) = sK8(xn,xr) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38950,c_51]) ).
tcf(c_38979,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38949,c_51]) ).
tcf(c_38987,plain,
( ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38948,c_69,c_51]) ).
tcf(c_39004,plain,
( doDivides0(xm,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_35448]) ).
tcf(c_39005,plain,
( ( xm = sz10 )
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35448,c_138]) ).
tcf(c_39006,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ( xn = xr )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_35448,c_128]) ).
tcf(c_39007,plain,
( ( xn = xr )
| ( sdtasdt0(xm,sK9(xm,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35448,c_123]) ).
tcf(c_39008,plain,
( sdtlseqdt0(xm,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35448,c_127]) ).
tcf(c_39010,plain,
( doDivides0(xm,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35448,c_14140]) ).
tcf(c_39016,plain,
( doDivides0(xm,xr)
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39010,c_50]) ).
tcf(c_39023,plain,
( sdtlseqdt0(xm,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39008,c_50]) ).
tcf(c_39030,plain,
( ( xn = xr )
| ( sdtasdt0(xm,sK9(xm,sK8(xn,xr))) = sK8(xn,xr) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39007,c_50]) ).
tcf(c_39036,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39006,c_50]) ).
tcf(c_39044,plain,
( ( xm = sz10 )
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39005,c_50]) ).
tcf(c_39062,plain,
( doDivides0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_35484]) ).
tcf(c_39063,plain,
( ( xn = xr )
| ( xn = sz10 )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35484,c_138]) ).
tcf(c_39064,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_35484,c_128]) ).
tcf(c_39065,plain,
( ( xn = xr )
| ( sdtasdt0(xn,sK9(xn,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35484,c_123]) ).
tcf(c_39066,plain,
( sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35484,c_127]) ).
tcf(c_39068,plain,
( doDivides0(xn,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ doDivides0(xn,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35484,c_14140]) ).
tcf(c_39074,plain,
( doDivides0(xn,xr)
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39068,c_49,c_10962]) ).
tcf(c_39080,plain,
( sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39066,c_49]) ).
tcf(c_39087,plain,
( ( xn = xr )
| ( sdtasdt0(xn,sK9(xn,sK8(xn,xr))) = sK8(xn,xr) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39065,c_49]) ).
tcf(c_39093,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39064,c_49]) ).
tcf(c_39101,plain,
( ( xn = xr )
| ( xn = sz10 )
| ( sK8(xn,xr) = xn )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39063,c_49]) ).
tcf(c_39119,plain,
( doDivides0(xn,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xr)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(superposition,[status(thm)],[c_111,c_39074]) ).
tcf(c_39120,plain,
( doDivides0(xn,xr)
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28099,c_39074]) ).
tcf(c_39126,plain,
( doDivides0(xn,xr)
| ( xn = xr )
| ~ sdtlseqdt0(xn,xr)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39119,c_79,c_49]) ).
tcf(c_39132,plain,
( doDivides0(xn,xr)
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(global_subsumption_just,[status(thm)],[c_39120,c_10489,c_39126]) ).
tcf(c_39152,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_35520]) ).
tcf(c_39154,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_35520,c_128]) ).
tcf(c_39155,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35520,c_123]) ).
tcf(c_39156,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35520,c_127]) ).
tcf(c_39163,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39156,c_102]) ).
tcf(c_39170,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sK8(xn,xr))) = sK8(xn,xr) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39155,c_102]) ).
tcf(c_39176,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK8(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39154,c_102]) ).
tcf(c_39397,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn) ),
inference(global_subsumption_just,[status(thm)],[c_37570,c_10489,c_28120,c_34251]) ).
tcf(c_39408,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_39397,c_128]) ).
tcf(c_39409,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_39397,c_123]) ).
tcf(c_39410,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_39397,c_127]) ).
tcf(c_39412,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39410,c_102]) ).
tcf(c_39419,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39409,c_102]) ).
tcf(c_39425,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK7,xr)
| ~ doDivides0(sK7,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39408,c_102]) ).
tcf(c_39433,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn) ),
inference(global_subsumption_just,[status(thm)],[c_37612,c_10489,c_28120,c_34323]) ).
tcf(c_39444,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_39433,c_128]) ).
tcf(c_39445,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_39433,c_123]) ).
tcf(c_39446,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_39433,c_127]) ).
tcf(c_39448,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39446,c_102]) ).
tcf(c_39455,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39445,c_102]) ).
tcf(c_39461,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sK6,xr)
| ~ doDivides0(sK6,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39444,c_102]) ).
tcf(c_39473,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sK6,sz10),X0)
| ( sz00 = sK6 )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sK6,sz10)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12399,c_65]) ).
tcf(c_39474,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(sK6,sz10),X0)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sK6,sz10)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12399,c_63]) ).
tcf(c_39475,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(sK6,sz10),X0)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sK6,sz10)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12399,c_67]) ).
tcf(c_39482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sK6,sz10)),sK6)
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10)) ),
inference(superposition,[status(thm)],[c_12399,c_109]) ).
tcf(c_39483,plain,
! [X0: $i] :
( doDivides0(X0,sK6)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ~ doDivides0(X0,sdtmndt0(sK6,sz10)) ),
inference(superposition,[status(thm)],[c_12399,c_105]) ).
tcf(c_39484,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sK6,sz10))
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10)) ),
inference(superposition,[status(thm)],[c_12399,c_104]) ).
tcf(c_39485,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sz10,X0))
| ( sz00 = sK6 )
| ( sdtmndt0(sK6,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ~ sdtlseqdt0(sdtmndt0(sK6,sz10),X0) ),
inference(superposition,[status(thm)],[c_12399,c_107]) ).
tcf(c_39486,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sK6)
| ( sz00 = sK6 )
| ( sdtmndt0(sK6,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(sK6,sz10)) ),
inference(superposition,[status(thm)],[c_12399,c_107]) ).
tcf(c_39487,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ( sdtpldt0(X0,sdtmndt0(sK6,sz10)) != sK6 ) ),
inference(superposition,[status(thm)],[c_12399,c_114]) ).
tcf(c_39488,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sdtmndt0(sK6,sz10)))
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10)) ),
inference(superposition,[status(thm)],[c_12399,c_109]) ).
tcf(c_39489,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( sdtmndt0(sK6,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ( sdtpldt0(sz10,X0) != sK6 ) ),
inference(superposition,[status(thm)],[c_12399,c_113]) ).
tcf(c_39490,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( sdtmndt0(sK6,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ( sdtpldt0(sz10,X0) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39489,c_102]) ).
tcf(c_39496,plain,
! [X0: $i] :
( ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ( sdtpldt0(X0,sdtmndt0(sK6,sz10)) != sK6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39487,c_102]) ).
tcf(c_39502,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sK6,sz10))
| ( sz00 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sK6)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39484,c_102]) ).
tcf(c_39509,plain,
! [X0: $i] :
( doDivides0(X0,sK6)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ~ doDivides0(X0,sdtmndt0(sK6,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39483,c_102]) ).
tcf(c_39516,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(X0,sdtmndt0(sK6,sz10)))
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39488,c_102]) ).
tcf(c_39523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sK6,sz10)),sK6)
| ( sz00 = sK6 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39482,c_102]) ).
tcf(c_39530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sK6)
| ( sz00 = sK6 )
| ( sdtmndt0(sK6,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(sK6,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39486,c_102]) ).
tcf(c_39537,plain,
! [X0: $i] :
( sdtlseqdt0(sK6,sdtpldt0(sz10,X0))
| ( sz00 = sK6 )
| ( sdtmndt0(sK6,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ~ sdtlseqdt0(sdtmndt0(sK6,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39485,c_102]) ).
tcf(c_39544,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(sK6,sz10),X0)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sK6,sz10)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39475,c_102]) ).
tcf(c_39553,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(sK6,sz10),X0)
| ( sz00 = sK6 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sK6,sz10)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39474,c_102]) ).
tcf(c_39562,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sK6,sz10),X0)
| ( sz00 = sK6 )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sK6,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(sK6,sz10)))
| ~ iLess0(sdtpldt0(sK6,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39473,c_102]) ).
tcf(c_39649,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_12812]) ).
tcf(c_39663,plain,
( sdtlseqdt0(sK8(xn,xr),xp)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_12812]) ).
tcf(c_39664,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xp)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_12812]) ).
tcf(c_39665,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39649,c_102]) ).
tcf(c_39669,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xp)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39664,c_102]) ).
tcf(c_39675,plain,
( sdtlseqdt0(sK8(xn,xr),xp)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39663,c_102]) ).
tcf(c_39687,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_39665,c_141]) ).
tcf(c_39689,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39665,c_146]) ).
tcf(c_39690,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_39665,c_142]) ).
tcf(c_39691,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK8(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39665,c_112]) ).
tcf(c_39692,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39665,c_120]) ).
tcf(c_39695,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39665,c_13120]) ).
tcf(c_39707,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xp)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_39665,c_28115]) ).
tcf(c_39710,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_39665,c_141]) ).
tcf(c_39711,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xp)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39665,c_13113]) ).
tcf(c_39712,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sdtmndt0(xp,X0)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39665,c_146]) ).
tcf(c_39713,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_39665,c_142]) ).
tcf(c_39714,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK8(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39665,c_112]) ).
tcf(c_39715,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39665,c_120]) ).
tcf(c_39720,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_39665,c_16287]) ).
tcf(c_39721,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_39665,c_28114]) ).
tcf(c_39722,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_39665,c_16273]) ).
tcf(c_39723,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39715,c_51]) ).
tcf(c_39728,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39692,c_102]) ).
tcf(c_39733,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK8(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39714,c_51]) ).
tcf(c_39737,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39713,c_51]) ).
tcf(c_39742,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sdtmndt0(xp,X0)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39712,c_51]) ).
tcf(c_39746,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK8(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39691,c_102]) ).
tcf(c_39750,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39690,c_102]) ).
tcf(c_39755,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39689,c_102]) ).
tcf(c_39760,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_39710,c_51]) ).
tcf(c_39766,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_39687,c_102]) ).
tcf(c_39773,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39722,c_51]) ).
tcf(c_39779,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39720,c_51]) ).
tcf(c_39785,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39721,c_51]) ).
tcf(c_39792,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xp)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39707,c_102]) ).
tcf(c_39810,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_12816]) ).
tcf(c_39826,plain,
( sdtlseqdt0(sK8(xn,xr),xn)
| sdtlseqdt0(sdtpldt0(xn,xp),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16980,c_12816]) ).
tcf(c_39827,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xn)
| sdtlseqdt0(sdtpldt0(xn,xp),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_16944,c_12816]) ).
tcf(c_39828,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39810,c_51]) ).
tcf(c_39832,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xn)
| sdtlseqdt0(sdtpldt0(xn,xp),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39827,c_51]) ).
tcf(c_39838,plain,
( sdtlseqdt0(sK8(xn,xr),xn)
| sdtlseqdt0(sdtpldt0(xn,xp),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39826,c_51]) ).
tcf(c_39850,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_39828,c_141]) ).
tcf(c_39851,plain,
! [X0: $i] :
( sdtlseqdt0(xp,xr)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39828,c_13113]) ).
tcf(c_39852,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xp,sdtmndt0(X0,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39828,c_146]) ).
tcf(c_39853,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_39828,c_142]) ).
tcf(c_39854,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xp,sK8(xp,X0)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39828,c_112]) ).
tcf(c_39855,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(xp,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39828,c_120]) ).
tcf(c_39872,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xn)
| sdtlseqdt0(sdtpldt0(xn,xp),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_39828,c_28115]) ).
tcf(c_39876,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_39828,c_141]) ).
tcf(c_39878,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39828,c_146]) ).
tcf(c_39879,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_39828,c_142]) ).
tcf(c_39880,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sK8(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39828,c_112]) ).
tcf(c_39881,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39828,c_120]) ).
tcf(c_39883,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(X1,xr)
| sdtlseqdt0(X0,X1)
| ( xn = xr )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39828,c_13120]) ).
tcf(c_39885,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(xp,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_39828,c_16287]) ).
tcf(c_39886,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_39828,c_28114]) ).
tcf(c_39887,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_39828,c_16273]) ).
tcf(c_39888,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39881,c_49]) ).
tcf(c_39893,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(xp,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39855,c_51]) ).
tcf(c_39898,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sK8(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39880,c_49]) ).
tcf(c_39902,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39879,c_49]) ).
tcf(c_39907,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| ( sdtpldt0(X0,sdtmndt0(xn,X0)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39878,c_49]) ).
tcf(c_39911,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xp,sK8(xp,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39854,c_51]) ).
tcf(c_39915,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39853,c_51]) ).
tcf(c_39920,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xp,sdtmndt0(X0,xp)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39852,c_51]) ).
tcf(c_39930,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39876,c_49]) ).
tcf(c_39936,plain,
! [X0: $i] :
( sdtlseqdt0(xp,xr)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| ( xn = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39851,c_51]) ).
tcf(c_39942,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39850,c_51]) ).
tcf(c_39948,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39887,c_49]) ).
tcf(c_39954,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(xp,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39885,c_49]) ).
tcf(c_39960,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39886,c_49]) ).
tcf(c_39967,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xn)
| sdtlseqdt0(sdtpldt0(xn,xp),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39872,c_51]) ).
tcf(c_39981,plain,
( doDivides0(sK10(xn),sz00)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK10(xn)) ),
inference(superposition,[status(thm)],[c_130,c_13872]) ).
tcf(c_39982,plain,
( isPrime0(xn)
| doDivides0(sK11(xn),sz00)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK11(xn)) ),
inference(superposition,[status(thm)],[c_135,c_13872]) ).
tcf(c_39985,plain,
( doDivides0(sK10(xn),sz00)
| ( xn = sz10 )
| ~ aNaturalNumber0(sK10(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39981,c_11487,c_49]) ).
tcf(c_39994,plain,
( isPrime0(xn)
| doDivides0(sK11(xn),sz00)
| ( xn = sz10 )
| ~ aNaturalNumber0(sK11(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39982,c_11487,c_49]) ).
tcf(c_40006,plain,
( doDivides0(sK10(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK10(xm)) ),
inference(superposition,[status(thm)],[c_130,c_13876]) ).
tcf(c_40007,plain,
( isPrime0(xm)
| doDivides0(sK11(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK11(xm)) ),
inference(superposition,[status(thm)],[c_135,c_13876]) ).
tcf(c_40010,plain,
( doDivides0(sK10(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sK10(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40006,c_50]) ).
tcf(c_40020,plain,
( isPrime0(xm)
| doDivides0(sK11(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sK11(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40007,c_50]) ).
tcf(c_40037,plain,
( doDivides0(sK10(xp),sz00)
| ( xp = sz10 )
| ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK10(xp)) ),
inference(superposition,[status(thm)],[c_130,c_13880]) ).
tcf(c_40041,plain,
( doDivides0(sK10(xp),sz00)
| ~ aNaturalNumber0(sK10(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40037,c_69,c_68,c_51]) ).
tcf(c_40113,plain,
doDivides0(sK10(xp),sz00),
inference(global_subsumption_just,[status(thm)],[c_40041,c_51,c_69,c_68,c_10465,c_40041]) ).
tcf(c_40116,plain,
! [X0: $i] :
( doDivides0(sK10(xp),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(xp))
| ~ doDivides0(sz00,X0) ),
inference(superposition,[status(thm)],[c_40113,c_128]) ).
tcf(c_40117,plain,
( ( sdtasdt0(sK10(xp),sK9(sK10(xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK10(xp)) ),
inference(superposition,[status(thm)],[c_40113,c_123]) ).
tcf(c_40119,plain,
( ( sdtasdt0(sK10(xp),sK9(sK10(xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sK10(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40117,c_98]) ).
tcf(c_40122,plain,
! [X0: $i] :
( doDivides0(sK10(xp),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK10(xp))
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40116,c_98]) ).
tcf(c_40127,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn) ),
inference(global_subsumption_just,[status(thm)],[c_37654,c_10489,c_28120,c_34361]) ).
tcf(c_40138,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_40127,c_128]) ).
tcf(c_40139,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40127,c_123]) ).
tcf(c_40140,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40127,c_127]) ).
tcf(c_40142,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40140,c_102]) ).
tcf(c_40149,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40139,c_102]) ).
tcf(c_40155,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,xr)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40138,c_102]) ).
tcf(c_40163,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn) ),
inference(global_subsumption_just,[status(thm)],[c_37696,c_10489,c_28120,c_34398]) ).
tcf(c_40174,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_40163,c_128]) ).
tcf(c_40175,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40163,c_123]) ).
tcf(c_40176,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40163,c_127]) ).
tcf(c_40178,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40176,c_102]) ).
tcf(c_40185,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40175,c_102]) ).
tcf(c_40191,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xm,xr)
| ~ doDivides0(xm,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40174,c_102]) ).
tcf(c_40199,plain,
( doDivides0(xr,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(global_subsumption_just,[status(thm)],[c_37785,c_10489,c_28120,c_35242]) ).
tcf(c_40209,plain,
( ( sz10 = xr )
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40199,c_138]) ).
tcf(c_40210,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_40199,c_128]) ).
tcf(c_40211,plain,
( ( xn = xr )
| ( sdtasdt0(xr,sK9(xr,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(xr)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40199,c_123]) ).
tcf(c_40212,plain,
( sdtlseqdt0(xr,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40199,c_127]) ).
tcf(c_40215,plain,
( sdtlseqdt0(xr,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40212,c_79]) ).
tcf(c_40222,plain,
( ( xn = xr )
| ( sdtasdt0(xr,sK9(xr,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40211,c_79]) ).
tcf(c_40228,plain,
! [X0: $i] :
( doDivides0(xr,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40210,c_79]) ).
tcf(c_40236,plain,
( ( sz10 = xr )
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40209,c_79]) ).
tcf(c_40244,plain,
( doDivides0(sK7,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(global_subsumption_just,[status(thm)],[c_37836,c_10489,c_28120,c_35278]) ).
tcf(c_40254,plain,
( ( sz10 = sK7 )
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40244,c_138]) ).
tcf(c_40255,plain,
! [X0: $i] :
( doDivides0(sK7,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_40244,c_128]) ).
tcf(c_40256,plain,
( ( xn = xr )
| ( sdtasdt0(sK7,sK9(sK7,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sK7)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40244,c_123]) ).
tcf(c_40257,plain,
( sdtlseqdt0(sK7,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sK7)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40244,c_127]) ).
tcf(c_40259,plain,
( doDivides0(sK7,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sK7)
| ~ doDivides0(sK7,xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(superposition,[status(thm)],[c_40244,c_29544]) ).
tcf(c_40260,plain,
( doDivides0(sK7,xr)
| ( xn = xr )
| ~ doDivides0(sK7,xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40259,c_76]) ).
tcf(c_40266,plain,
( sdtlseqdt0(sK7,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40257,c_76]) ).
tcf(c_40273,plain,
( ( xn = xr )
| ( sdtasdt0(sK7,sK9(sK7,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40256,c_76]) ).
tcf(c_40279,plain,
! [X0: $i] :
( doDivides0(sK7,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40255,c_76]) ).
tcf(c_40287,plain,
( ( sz10 = sK7 )
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK7 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40254,c_76]) ).
tcf(c_40295,plain,
( doDivides0(sK6,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(global_subsumption_just,[status(thm)],[c_37945,c_10489,c_28120,c_35370]) ).
tcf(c_40305,plain,
( ( sz10 = sK6 )
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40295,c_138]) ).
tcf(c_40306,plain,
! [X0: $i] :
( doDivides0(sK6,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_40295,c_128]) ).
tcf(c_40307,plain,
( ( xn = xr )
| ( sdtasdt0(sK6,sK9(sK6,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sK6)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40295,c_123]) ).
tcf(c_40308,plain,
( sdtlseqdt0(sK6,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sK6)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40295,c_127]) ).
tcf(c_40310,plain,
( doDivides0(sK6,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sK6)
| ~ doDivides0(sK6,xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(superposition,[status(thm)],[c_40295,c_29544]) ).
tcf(c_40311,plain,
( doDivides0(sK6,xr)
| ( xn = xr )
| ~ doDivides0(sK6,xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40310,c_73]) ).
tcf(c_40317,plain,
( sdtlseqdt0(sK6,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40308,c_73]) ).
tcf(c_40324,plain,
( ( xn = xr )
| ( sdtasdt0(sK6,sK9(sK6,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40307,c_73]) ).
tcf(c_40330,plain,
! [X0: $i] :
( doDivides0(sK6,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40306,c_73]) ).
tcf(c_40338,plain,
( ( sz10 = sK6 )
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40305,c_73]) ).
tcf(c_40346,plain,
( doDivides0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(global_subsumption_just,[status(thm)],[c_38947,c_10489,c_28120,c_35406]) ).
tcf(c_40356,plain,
( ( xp = sz10 )
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(xp)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40346,c_138]) ).
tcf(c_40357,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_40346,c_128]) ).
tcf(c_40358,plain,
( ( xn = xr )
| ( sdtasdt0(xp,sK9(xp,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(xp)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40346,c_123]) ).
tcf(c_40359,plain,
( sdtlseqdt0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40346,c_127]) ).
tcf(c_40361,plain,
( doDivides0(xp,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xp)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ doDivides0(xp,xn) ),
inference(superposition,[status(thm)],[c_40346,c_29544]) ).
tcf(c_40362,plain,
( doDivides0(xp,xr)
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ doDivides0(xp,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40361,c_51]) ).
tcf(c_40368,plain,
( sdtlseqdt0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40359,c_51]) ).
tcf(c_40375,plain,
( ( xn = xr )
| ( sdtasdt0(xp,sK9(xp,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40358,c_51]) ).
tcf(c_40381,plain,
! [X0: $i] :
( doDivides0(xp,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40357,c_51]) ).
tcf(c_40389,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40356,c_69,c_51]) ).
tcf(c_40396,plain,
( doDivides0(xm,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(global_subsumption_just,[status(thm)],[c_39004,c_10489,c_28120,c_35442]) ).
tcf(c_40406,plain,
( ( xm = sz10 )
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40396,c_138]) ).
tcf(c_40407,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ( xn = xr )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_40396,c_128]) ).
tcf(c_40408,plain,
( ( xn = xr )
| ( sdtasdt0(xm,sK9(xm,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40396,c_123]) ).
tcf(c_40409,plain,
( sdtlseqdt0(xm,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40396,c_127]) ).
tcf(c_40411,plain,
( doDivides0(xm,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ doDivides0(xm,xn) ),
inference(superposition,[status(thm)],[c_40396,c_29544]) ).
tcf(c_40412,plain,
( doDivides0(xm,xr)
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ doDivides0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40411,c_50]) ).
tcf(c_40418,plain,
( sdtlseqdt0(xm,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40409,c_50]) ).
tcf(c_40425,plain,
( ( xn = xr )
| ( sdtasdt0(xm,sK9(xm,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40408,c_50]) ).
tcf(c_40431,plain,
! [X0: $i] :
( doDivides0(xm,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40407,c_50]) ).
tcf(c_40439,plain,
( ( xm = sz10 )
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40406,c_50]) ).
tcf(c_40447,plain,
( doDivides0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(global_subsumption_just,[status(thm)],[c_39062,c_10489,c_28120,c_35478]) ).
tcf(c_40457,plain,
( ( xn = xr )
| ( xn = sz10 )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40447,c_138]) ).
tcf(c_40458,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_40447,c_128]) ).
tcf(c_40459,plain,
( ( xn = xr )
| ( sdtasdt0(xn,sK9(xn,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40447,c_123]) ).
tcf(c_40460,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40447,c_127]) ).
tcf(c_40462,plain,
( doDivides0(xn,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ doDivides0(xn,xn) ),
inference(superposition,[status(thm)],[c_40447,c_29544]) ).
tcf(c_40464,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40460,c_49]) ).
tcf(c_40471,plain,
( ( xn = xr )
| ( sdtasdt0(xn,sK9(xn,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40459,c_49]) ).
tcf(c_40477,plain,
! [X0: $i] :
( doDivides0(xn,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40458,c_49]) ).
tcf(c_40485,plain,
( ( xn = xr )
| ( xn = sz10 )
| ( sdtmndt0(xr,xn) = xn )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ isPrime0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40457,c_49]) ).
tcf(c_40497,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xm,sz10),X0)
| ( xm = sz00 )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xm,sz10)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12402,c_65]) ).
tcf(c_40498,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(xm,sz10),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xm,sz10)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12402,c_63]) ).
tcf(c_40499,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(xm,sz10),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xm,sz10)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12402,c_67]) ).
tcf(c_40506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,sz10)),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_12402,c_109]) ).
tcf(c_40507,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ~ doDivides0(X0,sdtmndt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_12402,c_105]) ).
tcf(c_40508,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xm,sz10))
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_12402,c_104]) ).
tcf(c_40509,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz10,X0))
| ( xm = sz00 )
| ( sdtmndt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ~ sdtlseqdt0(sdtmndt0(xm,sz10),X0) ),
inference(superposition,[status(thm)],[c_12402,c_107]) ).
tcf(c_40510,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xm)
| ( xm = sz00 )
| ( sdtmndt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_12402,c_107]) ).
tcf(c_40511,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ( sdtpldt0(X0,sdtmndt0(xm,sz10)) != xm ) ),
inference(superposition,[status(thm)],[c_12402,c_114]) ).
tcf(c_40512,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,sz10)))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_12402,c_109]) ).
tcf(c_40513,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtmndt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ( sdtpldt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_12402,c_113]) ).
tcf(c_40514,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtmndt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ( sdtpldt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40513,c_102]) ).
tcf(c_40520,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ( sdtpldt0(X0,sdtmndt0(xm,sz10)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40511,c_102]) ).
tcf(c_40526,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(xm,sz10))
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40508,c_102]) ).
tcf(c_40533,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ~ doDivides0(X0,sdtmndt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40507,c_102]) ).
tcf(c_40540,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sdtmndt0(xm,sz10)))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40512,c_102]) ).
tcf(c_40547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xm,sz10)),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40506,c_102]) ).
tcf(c_40554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xm)
| ( xm = sz00 )
| ( sdtmndt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ~ sdtlseqdt0(X0,sdtmndt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40510,c_102]) ).
tcf(c_40561,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz10,X0))
| ( xm = sz00 )
| ( sdtmndt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ~ sdtlseqdt0(sdtmndt0(xm,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40509,c_102]) ).
tcf(c_40568,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz10)
| sP1(sdtmndt0(xm,sz10),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xm,sz10)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40499,c_102]) ).
tcf(c_40577,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz10,X0))
| sP1(sdtmndt0(xm,sz10),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xm,sz10)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40498,c_102]) ).
tcf(c_40586,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(xm,sz10),X0)
| ( xm = sz00 )
| ( sdtasdt0(X0,sK5(sz10,X0)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xm,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sdtmndt0(xm,sz10)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40497,c_102]) ).
tcf(c_40612,plain,
( doDivides0(sK10(sK6),sz00)
| ( sz10 = sK6 )
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK10(sK6)) ),
inference(superposition,[status(thm)],[c_130,c_13884]) ).
tcf(c_40613,plain,
( isPrime0(sK6)
| doDivides0(sK11(sK6),sz00)
| ( sz10 = sK6 )
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK11(sK6)) ),
inference(superposition,[status(thm)],[c_135,c_13884]) ).
tcf(c_40616,plain,
( doDivides0(sK10(sK6),sz00)
| ( sz10 = sK6 )
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sK10(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40612,c_73]) ).
tcf(c_40626,plain,
( isPrime0(sK6)
| doDivides0(sK11(sK6),sz00)
| ( sz10 = sK6 )
| ( sz00 = sK6 )
| ~ aNaturalNumber0(sK11(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40613,c_73]) ).
tcf(c_40664,plain,
( doDivides0(sK10(sK7),sz00)
| ( sz10 = sK7 )
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sK10(sK7)) ),
inference(superposition,[status(thm)],[c_130,c_13888]) ).
tcf(c_40665,plain,
( isPrime0(sK7)
| doDivides0(sK11(sK7),sz00)
| ( sz10 = sK7 )
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(sK11(sK7)) ),
inference(superposition,[status(thm)],[c_135,c_13888]) ).
tcf(c_40668,plain,
( doDivides0(sK10(sK7),sz00)
| ( sz10 = sK7 )
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sK10(sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40664,c_76]) ).
tcf(c_40678,plain,
( isPrime0(sK7)
| doDivides0(sK11(sK7),sz00)
| ( sz10 = sK7 )
| ( sz00 = sK7 )
| ~ aNaturalNumber0(sK11(sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40665,c_76]) ).
tcf(c_40707,plain,
( doDivides0(sK10(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK10(xr)) ),
inference(superposition,[status(thm)],[c_130,c_13896]) ).
tcf(c_40708,plain,
( isPrime0(xr)
| doDivides0(sK11(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK11(xr)) ),
inference(superposition,[status(thm)],[c_135,c_13896]) ).
tcf(c_40711,plain,
( doDivides0(sK10(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(sK10(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40707,c_79]) ).
tcf(c_40721,plain,
( isPrime0(xr)
| doDivides0(sK11(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(sK11(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40708,c_79]) ).
tcf(c_40727,plain,
sz00 != xr,
inference(global_subsumption_just,[status(thm)],[c_24118,c_98,c_79,c_83,c_10240,c_10605,c_11487,c_11947,c_11946,c_17280,c_21306,c_21627]) ).
tcf(c_40729,plain,
iLess0(sz00,xr),
inference(backward_subsumption_resolution,[status(thm)],[c_11649,c_40727]) ).
tcf(c_40741,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_140,c_33454]) ).
tcf(c_40758,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40741,c_102]) ).
tcf(c_40768,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_40758,c_141]) ).
tcf(c_40770,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40758,c_146]) ).
tcf(c_40771,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_40758,c_142]) ).
tcf(c_40772,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sK8(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40758,c_112]) ).
tcf(c_40773,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40758,c_120]) ).
tcf(c_40777,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40758,c_13120]) ).
tcf(c_40789,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40758,c_28115]) ).
tcf(c_40792,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_40758,c_141]) ).
tcf(c_40793,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40758,c_13113]) ).
tcf(c_40794,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40758,c_146]) ).
tcf(c_40795,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_40758,c_142]) ).
tcf(c_40796,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40758,c_112]) ).
tcf(c_40797,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40758,c_120]) ).
tcf(c_40799,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_40758,c_16287]) ).
tcf(c_40800,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40758,c_28114]) ).
tcf(c_40801,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40758,c_16273]) ).
tcf(c_40802,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40797,c_79]) ).
tcf(c_40807,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40773,c_102]) ).
tcf(c_40812,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK8(X0,xr)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40796,c_79]) ).
tcf(c_40816,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40795,c_79]) ).
tcf(c_40821,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sdtmndt0(xr,X0)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40794,c_79]) ).
tcf(c_40825,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sK8(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40772,c_102]) ).
tcf(c_40829,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40771,c_102]) ).
tcf(c_40834,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sdtmndt0(X0,sz10)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40770,c_102]) ).
tcf(c_40839,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_40792,c_79]) ).
tcf(c_40845,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_40768,c_102]) ).
tcf(c_40852,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40801,c_79]) ).
tcf(c_40858,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40799,c_79]) ).
tcf(c_40864,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40800,c_79]) ).
tcf(c_40871,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40789,c_102]) ).
tcf(c_40878,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn) ),
inference(global_subsumption_just,[status(thm)],[c_39152,c_35843,c_39132]) ).
tcf(c_40889,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_40878,c_128]) ).
tcf(c_40890,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40878,c_123]) ).
tcf(c_40891,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40878,c_127]) ).
tcf(c_40893,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40891,c_102]) ).
tcf(c_40900,plain,
( ( xn = xr )
| ( sdtasdt0(sz10,sK9(sz10,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40890,c_102]) ).
tcf(c_40906,plain,
! [X0: $i] :
( doDivides0(sz10,X0)
| ( xn = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,xr)
| ~ doDivides0(sz00,xn)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40889,c_102]) ).
tcf(c_40947,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_16946,c_10489,c_16946,c_28120]) ).
tcf(c_40957,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40947,c_141]) ).
tcf(c_40959,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(sdtmndt0(xr,xn),sdtmndt0(xr,sdtmndt0(xr,xn))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40947,c_146]) ).
tcf(c_40960,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(xr,sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40947,c_142]) ).
tcf(c_40961,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(sdtmndt0(xr,xn),sK8(sdtmndt0(xr,xn),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40947,c_112]) ).
tcf(c_40962,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| iLess0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40947,c_120]) ).
tcf(c_40963,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_40947,c_28114]) ).
tcf(c_40964,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_40947,c_16273]) ).
tcf(c_40965,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40964,c_79]) ).
tcf(c_40972,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40963,c_79]) ).
tcf(c_40979,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| iLess0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40962,c_79]) ).
tcf(c_40987,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(xr,sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40960,c_79]) ).
tcf(c_40995,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40957,c_79]) ).
tcf(c_41063,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_16982]) ).
tcf(c_41064,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(X0,sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16982,c_141]) ).
tcf(c_41065,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16982,c_13113]) ).
tcf(c_41066,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(sK8(xn,xr),sdtmndt0(xr,sK8(xn,xr))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16982,c_146]) ).
tcf(c_41067,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(xr,sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16982,c_142]) ).
tcf(c_41068,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(sK8(xn,xr),sK8(sK8(xn,xr),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16982,c_112]) ).
tcf(c_41069,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| iLess0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16982,c_120]) ).
tcf(c_41070,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_16982,c_16287]) ).
tcf(c_41077,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41070,c_79]) ).
tcf(c_41084,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| iLess0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41069,c_79]) ).
tcf(c_41092,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(xr,sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41067,c_79]) ).
tcf(c_41100,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(X0,sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41064,c_79]) ).
tcf(c_41142,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr ) ),
inference(global_subsumption_just,[status(thm)],[c_17019,c_10489,c_17019,c_28120]) ).
tcf(c_41152,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_41142,c_141]) ).
tcf(c_41154,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_41142,c_146]) ).
tcf(c_41155,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_41142,c_142]) ).
tcf(c_41156,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_41142,c_112]) ).
tcf(c_41157,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_41142,c_120]) ).
tcf(c_41158,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_41142,c_34682]) ).
tcf(c_41164,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41157,c_79]) ).
tcf(c_41171,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41156,c_79]) ).
tcf(c_41177,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41155,c_79]) ).
tcf(c_41184,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41154,c_79]) ).
tcf(c_41190,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41152,c_79]) ).
tcf(c_41199,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sdtasdt0(xp,sK6),sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sdtasdt0(xp,sK6),sz00)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12408,c_65]) ).
tcf(c_41200,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(sdtasdt0(xp,sK6),sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sdtasdt0(xp,sK6),sz00)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12408,c_63]) ).
tcf(c_41201,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(sdtasdt0(xp,sK6),sz00),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sdtasdt0(xp,sK6),sz00)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12408,c_67]) ).
tcf(c_41204,plain,
( ( sdtmndt0(sdtasdt0(xp,sK6),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(superposition,[status(thm)],[c_12408,c_91]) ).
tcf(c_41208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sz00)),sdtasdt0(xp,sK6))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00)) ),
inference(superposition,[status(thm)],[c_12408,c_109]) ).
tcf(c_41209,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ doDivides0(X0,sdtmndt0(sdtasdt0(xp,sK6),sz00)) ),
inference(superposition,[status(thm)],[c_12408,c_105]) ).
tcf(c_41210,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00)) ),
inference(superposition,[status(thm)],[c_12408,c_104]) ).
tcf(c_41211,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(sz00,X0))
| ( sdtmndt0(sdtasdt0(xp,sK6),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ sdtlseqdt0(sdtmndt0(sdtasdt0(xp,sK6),sz00),X0) ),
inference(superposition,[status(thm)],[c_12408,c_107]) ).
tcf(c_41212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,sK6))
| ( sdtmndt0(sdtasdt0(xp,sK6),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sz00)) ),
inference(superposition,[status(thm)],[c_12408,c_107]) ).
tcf(c_41213,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ( sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sz00)) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12408,c_114]) ).
tcf(c_41214,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00)) ),
inference(superposition,[status(thm)],[c_12408,c_109]) ).
tcf(c_41215,plain,
! [X0: $i] :
( ( sdtmndt0(sdtasdt0(xp,sK6),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12408,c_113]) ).
tcf(c_41216,plain,
( ( sdtmndt0(sdtasdt0(xp,sK6),sz00) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41204,c_98]) ).
tcf(c_41220,plain,
! [X0: $i] :
( ( sdtmndt0(sdtasdt0(xp,sK6),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41215,c_98]) ).
tcf(c_41225,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ( sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sz00)) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41213,c_98]) ).
tcf(c_41230,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41210,c_98]) ).
tcf(c_41236,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ doDivides0(X0,sdtmndt0(sdtasdt0(xp,sK6),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41209,c_98]) ).
tcf(c_41242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41214,c_98]) ).
tcf(c_41248,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sz00)),sdtasdt0(xp,sK6))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41208,c_98]) ).
tcf(c_41254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,sK6))
| ( sdtmndt0(sdtasdt0(xp,sK6),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41212,c_98]) ).
tcf(c_41260,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(sz00,X0))
| ( sdtmndt0(sdtasdt0(xp,sK6),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ sdtlseqdt0(sdtmndt0(sdtasdt0(xp,sK6),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41211,c_98]) ).
tcf(c_41266,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sz00)
| sP1(sdtmndt0(sdtasdt0(xp,sK6),sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sdtasdt0(xp,sK6),sz00)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41201,c_98]) ).
tcf(c_41274,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sz00,X0))
| sP1(sdtmndt0(sdtasdt0(xp,sK6),sz00),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sdtasdt0(xp,sK6),sz00)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41200,c_98]) ).
tcf(c_41282,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sdtasdt0(xp,sK6),sz00),X0)
| ( sdtasdt0(X0,sK5(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtmndt0(sdtasdt0(xp,sK6),sz00)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41199,c_98]) ).
tcf(c_41351,plain,
sdtmndt0(sdtpldt0(xm,xn),xm) = xn,
inference(superposition,[status(thm)],[c_49,c_10160]) ).
tcf(c_41352,plain,
sdtmndt0(sdtpldt0(xm,xm),xm) = xm,
inference(superposition,[status(thm)],[c_50,c_10160]) ).
tcf(c_41353,plain,
sdtmndt0(sdtpldt0(xm,xp),xm) = xp,
inference(superposition,[status(thm)],[c_51,c_10160]) ).
tcf(c_41354,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xm,sK2(X0,X1)),xm) = sK2(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_10160]) ).
tcf(c_41357,plain,
sdtmndt0(sdtpldt0(xm,sK6),xm) = sK6,
inference(superposition,[status(thm)],[c_73,c_10160]) ).
tcf(c_41358,plain,
sdtmndt0(sdtpldt0(xm,sK7),xm) = sK7,
inference(superposition,[status(thm)],[c_76,c_10160]) ).
tcf(c_41359,plain,
sdtmndt0(sdtpldt0(xm,xr),xm) = xr,
inference(superposition,[status(thm)],[c_79,c_10160]) ).
tcf(c_41360,plain,
sdtmndt0(sdtpldt0(xm,sz00),xm) = sz00,
inference(superposition,[status(thm)],[c_98,c_10160]) ).
tcf(c_41361,plain,
sdtmndt0(sdtpldt0(xm,sz10),xm) = sz10,
inference(superposition,[status(thm)],[c_102,c_10160]) ).
tcf(c_41362,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xm,sdtpldt0(X0,X1)),xm) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_10160]) ).
tcf(c_41363,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xm,sK8(X0,X1)),xm) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_10160]) ).
tcf(c_41364,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xm,sdtasdt0(X0,X1)),xm) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_10160]) ).
tcf(c_41365,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xm,sK9(X0,X1)),xm) = sK9(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_10160]) ).
tcf(c_41366,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xm,sK10(X0)),xm) = sK10(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_10160]) ).
tcf(c_41367,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xm,sK11(X0)),xm) = sK11(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_10160]) ).
tcf(c_41368,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xm,sdtmndt0(X1,X0)),xm) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_10160]) ).
tcf(c_41369,plain,
sdtmndt0(sdtpldt0(xm,sdtasdt0(xp,sK6)),xm) = sdtasdt0(xp,sK6),
inference(superposition,[status(thm)],[c_10386,c_10160]) ).
tcf(c_41370,plain,
sdtmndt0(xm,xm) = sz00,
inference(light_normalisation,[status(thm)],[c_41360,c_10235]) ).
tcf(c_41605,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17079,c_141]) ).
tcf(c_41607,plain,
( sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17079,c_146]) ).
tcf(c_41608,plain,
( sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_17079,c_142]) ).
tcf(c_41609,plain,
( sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17079,c_112]) ).
tcf(c_41610,plain,
( sdtlseqdt0(xn,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17079,c_120]) ).
tcf(c_41611,plain,
( sdtlseqdt0(xn,sK8(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17079,c_34682]) ).
tcf(c_41618,plain,
( sdtlseqdt0(xn,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41610,c_79]) ).
tcf(c_41626,plain,
( sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41609,c_79]) ).
tcf(c_41633,plain,
( sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41608,c_79]) ).
tcf(c_41641,plain,
( sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41607,c_79]) ).
tcf(c_41648,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41605,c_79]) ).
tcf(c_41658,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_36567,c_10489,c_28120,c_36567]) ).
tcf(c_41668,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_41658,c_141]) ).
tcf(c_41670,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xn),xr)) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_41658,c_146]) ).
tcf(c_41671,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,xn),xr) ),
inference(superposition,[status(thm)],[c_41658,c_142]) ).
tcf(c_41672,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xn))) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_41658,c_112]) ).
tcf(c_41673,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_41658,c_120]) ).
tcf(c_41674,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| sdtlseqdt0(xn,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_41658,c_34682]) ).
tcf(c_41680,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41673,c_79]) ).
tcf(c_41687,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xn))) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41672,c_79]) ).
tcf(c_41693,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,xn),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41671,c_79]) ).
tcf(c_41700,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xn),xr)) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41670,c_79]) ).
tcf(c_41706,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41668,c_79]) ).
tcf(c_41770,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_36573,c_141]) ).
tcf(c_41772,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xn),xr)) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_36573,c_146]) ).
tcf(c_41773,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,xn),xr) ),
inference(superposition,[status(thm)],[c_36573,c_142]) ).
tcf(c_41774,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xn))) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_36573,c_112]) ).
tcf(c_41775,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_36573,c_120]) ).
tcf(c_41776,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_36573,c_34682]) ).
tcf(c_41783,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41775,c_79]) ).
tcf(c_41791,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xn))) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41774,c_79]) ).
tcf(c_41798,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,xn),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41773,c_79]) ).
tcf(c_41806,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xn),xr)) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41772,c_79]) ).
tcf(c_41813,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41770,c_79]) ).
tcf(c_41868,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sz10))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 ) ),
inference(global_subsumption_just,[status(thm)],[c_36782,c_10489,c_28120,c_36782]) ).
tcf(c_41878,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,sz10))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_41868,c_141]) ).
tcf(c_41880,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sz10),xr)) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_41868,c_146]) ).
tcf(c_41881,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),xr) ),
inference(superposition,[status(thm)],[c_41868,c_142]) ).
tcf(c_41882,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_41868,c_112]) ).
tcf(c_41883,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,sz10))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_41868,c_120]) ).
tcf(c_41884,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(xn,sdtpldt0(xn,sz10))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_41868,c_34682]) ).
tcf(c_41890,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,sz10))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41883,c_79]) ).
tcf(c_41897,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41882,c_79]) ).
tcf(c_41903,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41881,c_79]) ).
tcf(c_41910,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sz10),xr)) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41880,c_79]) ).
tcf(c_41916,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,sz10))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41878,c_79]) ).
tcf(c_41973,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sz10))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_36788,c_141]) ).
tcf(c_41975,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sz10),xr)) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_36788,c_146]) ).
tcf(c_41976,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),xr) ),
inference(superposition,[status(thm)],[c_36788,c_142]) ).
tcf(c_41977,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_36788,c_112]) ).
tcf(c_41978,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,sz10))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_36788,c_120]) ).
tcf(c_41979,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sz10))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_36788,c_34682]) ).
tcf(c_41986,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,sz10))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41978,c_79]) ).
tcf(c_41994,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sz10))) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41977,c_79]) ).
tcf(c_42001,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(sdtpldt0(xn,sz10),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41976,c_79]) ).
tcf(c_42009,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sz10),xr)) = sdtpldt0(xn,sz10) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41975,c_79]) ).
tcf(c_42016,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sz10))
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41973,c_79]) ).
tcf(c_42026,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_36984,c_10489,c_28120,c_36984]) ).
tcf(c_42036,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_42026,c_141]) ).
tcf(c_42038,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xn),xr)) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_42026,c_146]) ).
tcf(c_42039,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,xn),xr) ),
inference(superposition,[status(thm)],[c_42026,c_142]) ).
tcf(c_42040,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xn))) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_42026,c_112]) ).
tcf(c_42041,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_42026,c_120]) ).
tcf(c_42042,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(xn,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_42026,c_34682]) ).
tcf(c_42048,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42041,c_79]) ).
tcf(c_42055,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xn))) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42040,c_79]) ).
tcf(c_42061,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,xn),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42039,c_79]) ).
tcf(c_42068,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xn),xr)) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42038,c_79]) ).
tcf(c_42074,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42036,c_79]) ).
tcf(c_42133,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_36990,c_141]) ).
tcf(c_42135,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xn),xr)) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_36990,c_146]) ).
tcf(c_42136,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,xn),xr) ),
inference(superposition,[status(thm)],[c_36990,c_142]) ).
tcf(c_42137,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xn))) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_36990,c_112]) ).
tcf(c_42138,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_36990,c_120]) ).
tcf(c_42139,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_36990,c_34682]) ).
tcf(c_42146,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42138,c_79]) ).
tcf(c_42154,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xn))) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42137,c_79]) ).
tcf(c_42161,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,xn),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42136,c_79]) ).
tcf(c_42169,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xn),xr)) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42135,c_79]) ).
tcf(c_42176,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42133,c_79]) ).
tcf(c_42186,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr ) ),
inference(global_subsumption_just,[status(thm)],[c_37392,c_10489,c_28120,c_37392]) ).
tcf(c_42196,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_42186,c_141]) ).
tcf(c_42198,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_42186,c_146]) ).
tcf(c_42199,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_42186,c_142]) ).
tcf(c_42200,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_42186,c_112]) ).
tcf(c_42201,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_42186,c_120]) ).
tcf(c_42202,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_42186,c_34682]) ).
tcf(c_42208,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42201,c_79]) ).
tcf(c_42215,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42200,c_79]) ).
tcf(c_42221,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42199,c_79]) ).
tcf(c_42228,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42198,c_79]) ).
tcf(c_42234,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42196,c_79]) ).
tcf(c_42282,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0)
| ( sdtasdt0(X0,sK5(sdtasdt0(xp,sK6),X0)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))) ),
inference(superposition,[status(thm)],[c_12409,c_65]) ).
tcf(c_42283,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sdtasdt0(xp,sK6),X0))
| sP1(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))) ),
inference(superposition,[status(thm)],[c_12409,c_63]) ).
tcf(c_42284,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sdtasdt0(xp,sK6))
| sP1(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))) ),
inference(superposition,[status(thm)],[c_12409,c_67]) ).
tcf(c_42287,plain,
( ( sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(superposition,[status(thm)],[c_12409,c_91]) ).
tcf(c_42291,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))),sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_12409,c_109]) ).
tcf(c_42293,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_12409,c_104]) ).
tcf(c_42294,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(sdtasdt0(xp,sK6),X0))
| ( sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0) ),
inference(superposition,[status(thm)],[c_12409,c_107]) ).
tcf(c_42295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtasdt0(xp,sK6))
| ( sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_12409,c_107]) ).
tcf(c_42296,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ( sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12409,c_114]) ).
tcf(c_42297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_12409,c_109]) ).
tcf(c_42298,plain,
! [X0: $i] :
( ( sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ( sdtpldt0(sdtasdt0(xp,sK6),X0) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12409,c_113]) ).
tcf(c_42299,plain,
( ( sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42287,c_10386]) ).
tcf(c_42303,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42293,c_10386]) ).
tcf(c_42308,plain,
! [X0: $i] :
( ( sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ( sdtpldt0(sdtasdt0(xp,sK6),X0) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42298,c_10386]) ).
tcf(c_42313,plain,
! [X0: $i] :
( ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ( sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42296,c_10386]) ).
tcf(c_42318,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,sK6),X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42297,c_10386]) ).
tcf(c_42324,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))),sdtasdt0(xp,sK6))
| ( sdtasdt0(xp,sK6) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42291,c_10386]) ).
tcf(c_42330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtasdt0(xp,sK6))
| ( sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42295,c_10386]) ).
tcf(c_42336,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(sdtasdt0(xp,sK6),X0))
| ( sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ sdtlseqdt0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42294,c_10386]) ).
tcf(c_42342,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,sdtasdt0(xp,sK6))
| sP1(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42284,c_10386]) ).
tcf(c_42350,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(sdtasdt0(xp,sK6),X0))
| sP1(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42283,c_10386]) ).
tcf(c_42358,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)),X0)
| ( sdtasdt0(X0,sK5(sdtasdt0(xp,sK6),X0)) = sdtasdt0(xp,sK6) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtasdt0(xp,sK6),sdtmndt0(sdtasdt0(xp,sK6),sdtasdt0(xp,sK6)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42282,c_10386]) ).
tcf(c_42419,plain,
sdtmndt0(sdtpldt0(xp,xn),xp) = xn,
inference(superposition,[status(thm)],[c_49,c_10161]) ).
tcf(c_42420,plain,
sdtmndt0(sdtpldt0(xp,xm),xp) = xm,
inference(superposition,[status(thm)],[c_50,c_10161]) ).
tcf(c_42421,plain,
sdtmndt0(sdtpldt0(xp,xp),xp) = xp,
inference(superposition,[status(thm)],[c_51,c_10161]) ).
tcf(c_42422,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xp,sK2(X0,X1)),xp) = sK2(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_10161]) ).
tcf(c_42425,plain,
sdtmndt0(sdtpldt0(xp,sK6),xp) = sK6,
inference(superposition,[status(thm)],[c_73,c_10161]) ).
tcf(c_42426,plain,
sdtmndt0(sdtpldt0(xp,sK7),xp) = sK7,
inference(superposition,[status(thm)],[c_76,c_10161]) ).
tcf(c_42427,plain,
sdtmndt0(sdtpldt0(xp,xr),xp) = xr,
inference(superposition,[status(thm)],[c_79,c_10161]) ).
tcf(c_42428,plain,
sdtmndt0(sdtpldt0(xp,sz00),xp) = sz00,
inference(superposition,[status(thm)],[c_98,c_10161]) ).
tcf(c_42429,plain,
sdtmndt0(sdtpldt0(xp,sz10),xp) = sz10,
inference(superposition,[status(thm)],[c_102,c_10161]) ).
tcf(c_42430,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xp,sdtpldt0(X0,X1)),xp) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_10161]) ).
tcf(c_42431,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xp,sK8(X0,X1)),xp) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_10161]) ).
tcf(c_42432,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xp,sdtasdt0(X0,X1)),xp) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_10161]) ).
tcf(c_42433,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xp,sK9(X0,X1)),xp) = sK9(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_10161]) ).
tcf(c_42434,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xp,sK10(X0)),xp) = sK10(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_10161]) ).
tcf(c_42435,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xp,sK11(X0)),xp) = sK11(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_10161]) ).
tcf(c_42436,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xp,sdtmndt0(X1,X0)),xp) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_10161]) ).
tcf(c_42437,plain,
sdtmndt0(sdtpldt0(xp,sdtasdt0(xp,sK6)),xp) = sdtasdt0(xp,sK6),
inference(superposition,[status(thm)],[c_10386,c_10161]) ).
tcf(c_42438,plain,
sdtmndt0(xp,xp) = sz00,
inference(light_normalisation,[status(thm)],[c_42428,c_10236]) ).
tcf(c_42440,plain,
sK7 = xr,
inference(light_normalisation,[status(thm)],[c_42426,c_77,c_81]) ).
tcf(c_42482,plain,
( doDivides0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ~ doDivides0(xr,xr)
| ~ doDivides0(xr,xn) ),
inference(demodulation,[status(thm)],[c_39397,c_42440]) ).
tcf(c_42485,plain,
( doDivides0(sz10,sK8(xn,xr))
| ( xn = xr )
| ~ doDivides0(xr,xr)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(demodulation,[status(thm)],[c_34257,c_42440]) ).
tcf(c_42537,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_37398,c_141]) ).
tcf(c_42539,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_37398,c_146]) ).
tcf(c_42540,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_37398,c_142]) ).
tcf(c_42541,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_37398,c_112]) ).
tcf(c_42542,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_37398,c_120]) ).
tcf(c_42543,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_37398,c_34682]) ).
tcf(c_42550,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42542,c_79]) ).
tcf(c_42558,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42541,c_79]) ).
tcf(c_42565,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42540,c_79]) ).
tcf(c_42573,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42539,c_79]) ).
tcf(c_42580,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42537,c_79]) ).
tcf(c_42590,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK7))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK7 ) ),
inference(global_subsumption_just,[status(thm)],[c_38076,c_10489,c_28120,c_38076]) ).
tcf(c_42594,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sK6))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 ) ),
inference(global_subsumption_just,[status(thm)],[c_38457,c_10489,c_28120,c_38457]) ).
tcf(c_42604,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,sK6))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(superposition,[status(thm)],[c_42594,c_141]) ).
tcf(c_42606,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sK6),xr)) = sdtpldt0(xn,sK6) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(superposition,[status(thm)],[c_42594,c_146]) ).
tcf(c_42607,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ( sdtpldt0(xn,sK6) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sK6))
| ~ sdtlseqdt0(sdtpldt0(xn,sK6),xr) ),
inference(superposition,[status(thm)],[c_42594,c_142]) ).
tcf(c_42608,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sK6))) = sdtpldt0(xn,sK6) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(superposition,[status(thm)],[c_42594,c_112]) ).
tcf(c_42609,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,sK6))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ( sdtpldt0(xn,sK6) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(superposition,[status(thm)],[c_42594,c_120]) ).
tcf(c_42610,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(xn,sdtpldt0(xn,sK6))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(superposition,[status(thm)],[c_42594,c_34682]) ).
tcf(c_42616,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,sK6))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ( sdtpldt0(xn,sK6) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42609,c_79]) ).
tcf(c_42623,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sK6))) = sdtpldt0(xn,sK6) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42608,c_79]) ).
tcf(c_42629,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ( sdtpldt0(xn,sK6) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,sK6))
| ~ sdtlseqdt0(sdtpldt0(xn,sK6),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42607,c_79]) ).
tcf(c_42636,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sK6),xr)) = sdtpldt0(xn,sK6) )
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42606,c_79]) ).
tcf(c_42642,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,sK6))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42604,c_79]) ).
tcf(c_42661,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sK6))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(superposition,[status(thm)],[c_38463,c_141]) ).
tcf(c_42663,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sK6),xr)) = sdtpldt0(xn,sK6) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(superposition,[status(thm)],[c_38463,c_146]) ).
tcf(c_42664,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ( sdtpldt0(xn,sK6) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sK6))
| ~ sdtlseqdt0(sdtpldt0(xn,sK6),xr) ),
inference(superposition,[status(thm)],[c_38463,c_142]) ).
tcf(c_42665,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sK6))) = sdtpldt0(xn,sK6) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(superposition,[status(thm)],[c_38463,c_112]) ).
tcf(c_42666,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,sK6))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ( sdtpldt0(xn,sK6) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(superposition,[status(thm)],[c_38463,c_120]) ).
tcf(c_42667,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sK6))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(superposition,[status(thm)],[c_38463,c_34682]) ).
tcf(c_42674,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,sK6))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ( sdtpldt0(xn,sK6) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42666,c_79]) ).
tcf(c_42682,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sK6))) = sdtpldt0(xn,sK6) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42665,c_79]) ).
tcf(c_42689,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ( sdtpldt0(xn,sK6) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sK6))
| ~ sdtlseqdt0(sdtpldt0(xn,sK6),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42664,c_79]) ).
tcf(c_42697,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sK6),xr)) = sdtpldt0(xn,sK6) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42663,c_79]) ).
tcf(c_42704,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sK6))
| ( xn = xr )
| ( sK8(xn,xr) = sK6 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42661,c_79]) ).
tcf(c_42714,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp ) ),
inference(global_subsumption_just,[status(thm)],[c_38612,c_10489,c_28120,c_38612]) ).
tcf(c_42724,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_42714,c_141]) ).
tcf(c_42726,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xp),xr)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_42714,c_146]) ).
tcf(c_42727,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xr) ),
inference(superposition,[status(thm)],[c_42714,c_142]) ).
tcf(c_42728,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_42714,c_112]) ).
tcf(c_42729,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_42714,c_120]) ).
tcf(c_42730,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_42714,c_34682]) ).
tcf(c_42736,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42729,c_79]) ).
tcf(c_42743,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42728,c_79]) ).
tcf(c_42749,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42727,c_79]) ).
tcf(c_42756,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xp),xr)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42726,c_79]) ).
tcf(c_42762,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42724,c_79]) ).
tcf(c_42795,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_38618,c_141]) ).
tcf(c_42797,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xp),xr)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_38618,c_146]) ).
tcf(c_42798,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xr) ),
inference(superposition,[status(thm)],[c_38618,c_142]) ).
tcf(c_42799,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_38618,c_112]) ).
tcf(c_42800,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_38618,c_120]) ).
tcf(c_42801,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_38618,c_34682]) ).
tcf(c_42808,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42800,c_79]) ).
tcf(c_42816,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42799,c_79]) ).
tcf(c_42823,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42798,c_79]) ).
tcf(c_42831,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xp),xr)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42797,c_79]) ).
tcf(c_42838,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42795,c_79]) ).
tcf(c_42881,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xm))
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm ) ),
inference(global_subsumption_just,[status(thm)],[c_38766,c_10489,c_28120,c_38766]) ).
tcf(c_42891,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_42881,c_141]) ).
tcf(c_42893,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xm),xr)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_42881,c_146]) ).
tcf(c_42894,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ( sdtpldt0(xn,xm) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xr) ),
inference(superposition,[status(thm)],[c_42881,c_142]) ).
tcf(c_42895,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_42881,c_112]) ).
tcf(c_42896,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xm))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ( sdtpldt0(xn,xm) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_42881,c_120]) ).
tcf(c_42897,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_42881,c_34682]) ).
tcf(c_42903,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xm))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ( sdtpldt0(xn,xm) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42896,c_79]) ).
tcf(c_42910,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42895,c_79]) ).
tcf(c_42916,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ( sdtpldt0(xn,xm) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42894,c_79]) ).
tcf(c_42923,plain,
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xm),xr)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42893,c_79]) ).
tcf(c_42929,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42891,c_79]) ).
tcf(c_42973,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sdtasdt0(xp,sK6),xn),X0)
| ( xm = sz00 )
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(sdtasdt0(xp,sK6),xn)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12419,c_65]) ).
tcf(c_42974,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sdtmndt0(sdtasdt0(xp,sK6),xn),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(sdtasdt0(xp,sK6),xn)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12419,c_63]) ).
tcf(c_42975,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sdtmndt0(sdtasdt0(xp,sK6),xn),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(sdtasdt0(xp,sK6),xn)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_12419,c_67]) ).
tcf(c_42978,plain,
( ( xm = sz00 )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(superposition,[status(thm)],[c_12419,c_91]) ).
tcf(c_42979,plain,
( ( xm = sz00 )
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(superposition,[status(thm)],[c_12419,c_90]) ).
tcf(c_42982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),xn)),sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_109]) ).
tcf(c_42983,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ doDivides0(X0,sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_105]) ).
tcf(c_42984,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( xm = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_104]) ).
tcf(c_42985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(xn,X0))
| ( xm = sz00 )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ sdtlseqdt0(sdtmndt0(sdtasdt0(xp,sK6),xn),X0) ),
inference(superposition,[status(thm)],[c_12419,c_107]) ).
tcf(c_42986,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_107]) ).
tcf(c_42987,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),xn)) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12419,c_114]) ).
tcf(c_42988,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),xn)))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_109]) ).
tcf(c_42989,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( sdtpldt0(xn,X0) != sdtasdt0(xp,sK6) ) ),
inference(superposition,[status(thm)],[c_12419,c_113]) ).
tcf(c_42990,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ doDivides0(sdtmndt0(sdtasdt0(xp,sK6),xn),xr)
| ~ doDivides0(sdtmndt0(sdtasdt0(xp,sK6),xn),xn) ),
inference(superposition,[status(thm)],[c_12419,c_23971]) ).
tcf(c_42991,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ doDivides0(sdtmndt0(sdtasdt0(xp,sK6),xn),xr)
| ~ doDivides0(sdtmndt0(sdtasdt0(xp,sK6),xn),xn) ),
inference(superposition,[status(thm)],[c_12419,c_29849]) ).
tcf(c_42992,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(xr,sdtpldt0(xn,sdtmndt0(sdtasdt0(xp,sK6),xn)))
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_17334]) ).
tcf(c_42993,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(xr,sdtpldt0(xn,sdtmndt0(sdtasdt0(xp,sK6),xn)))
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_17132]) ).
tcf(c_42994,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,sK6))
| sdtlseqdt0(sdtmndt0(sdtasdt0(xp,sK6),xn),sK8(xn,xr))
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_17077]) ).
tcf(c_42995,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,sK6))
| sdtlseqdt0(sdtmndt0(sdtasdt0(xp,sK6),xn),sdtmndt0(xr,xn))
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_17017]) ).
tcf(c_42996,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(sK8(xn,xr),sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_16980]) ).
tcf(c_42997,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_16944]) ).
tcf(c_42998,plain,
( ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( sdtasdt0(xp,sK6) != xr ) ),
inference(superposition,[status(thm)],[c_12419,c_14479]) ).
tcf(c_42999,plain,
( ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( sdtasdt0(xp,sK6) != xr ) ),
inference(superposition,[status(thm)],[c_12419,c_14467]) ).
tcf(c_43000,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42979,c_11487,c_49]) ).
tcf(c_43004,plain,
( ( xm = sz00 )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sz00 )
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( sdtasdt0(xp,sK6) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42978,c_49]) ).
tcf(c_43009,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( sdtpldt0(xn,X0) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42989,c_49]) ).
tcf(c_43015,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),xn)) != sdtasdt0(xp,sK6) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42987,c_49]) ).
tcf(c_43021,plain,
! [X0: $i] :
( doDivides0(X0,sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42984,c_49]) ).
tcf(c_43028,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ doDivides0(X0,sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42983,c_49]) ).
tcf(c_43035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),xn)))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42988,c_49]) ).
tcf(c_43042,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(sdtasdt0(xp,sK6),xn)),sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42982,c_49]) ).
tcf(c_43061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtasdt0(xp,sK6))
| ( xm = sz00 )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ sdtlseqdt0(X0,sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42986,c_49]) ).
tcf(c_43068,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,sK6),sdtpldt0(xn,X0))
| ( xm = sz00 )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ sdtlseqdt0(sdtmndt0(sdtasdt0(xp,sK6),xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42985,c_49]) ).
tcf(c_43117,plain,
! [X0: $i] :
( sP0(X0)
| doDivides0(X0,xn)
| sP1(sdtmndt0(sdtasdt0(xp,sK6),xn),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(sdtasdt0(xp,sK6),xn)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42975,c_49]) ).
tcf(c_43134,plain,
! [X0: $i] :
( sP0(X0)
| aNaturalNumber0(sK5(xn,X0))
| sP1(sdtmndt0(sdtasdt0(xp,sK6),xn),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(sdtasdt0(xp,sK6),xn)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42974,c_49]) ).
tcf(c_43143,plain,
! [X0: $i] :
( sP0(X0)
| sP1(sdtmndt0(sdtasdt0(xp,sK6),xn),X0)
| ( xm = sz00 )
| ( sdtasdt0(X0,sK5(xn,X0)) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ doDivides0(X0,sdtasdt0(xn,sdtmndt0(sdtasdt0(xp,sK6),xn)))
| ~ iLess0(sdtpldt0(sdtasdt0(xp,sK6),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42973,c_49]) ).
tcf(c_43458,plain,
sdtmndt0(sdtpldt0(sK6,xn),sK6) = xn,
inference(superposition,[status(thm)],[c_49,c_10162]) ).
tcf(c_43459,plain,
sdtmndt0(sdtpldt0(sK6,xm),sK6) = xm,
inference(superposition,[status(thm)],[c_50,c_10162]) ).
tcf(c_43460,plain,
sdtmndt0(sdtpldt0(sK6,xp),sK6) = xp,
inference(superposition,[status(thm)],[c_51,c_10162]) ).
tcf(c_43461,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sK6,sK2(X0,X1)),sK6) = sK2(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_10162]) ).
tcf(c_43464,plain,
sdtmndt0(sdtpldt0(sK6,sK6),sK6) = sK6,
inference(superposition,[status(thm)],[c_73,c_10162]) ).
tcf(c_43465,plain,
sdtmndt0(sdtpldt0(sK6,xr),sK6) = xr,
inference(superposition,[status(thm)],[c_79,c_10162]) ).
tcf(c_43466,plain,
sdtmndt0(sdtpldt0(sK6,sz00),sK6) = sz00,
inference(superposition,[status(thm)],[c_98,c_10162]) ).
tcf(c_43467,plain,
sdtmndt0(sdtpldt0(sK6,sz10),sK6) = sz10,
inference(superposition,[status(thm)],[c_102,c_10162]) ).
tcf(c_43468,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sK6,sdtpldt0(X0,X1)),sK6) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_10162]) ).
tcf(c_43469,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sK6,sK8(X0,X1)),sK6) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_10162]) ).
tcf(c_43470,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sK6,sdtasdt0(X0,X1)),sK6) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_10162]) ).
tcf(c_43471,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sK6,sK9(X0,X1)),sK6) = sK9(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_10162]) ).
tcf(c_43472,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sK6,sK10(X0)),sK6) = sK10(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_10162]) ).
tcf(c_43473,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sK6,sK11(X0)),sK6) = sK11(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_10162]) ).
tcf(c_43474,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sK6,sdtmndt0(X1,X0)),sK6) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_10162]) ).
tcf(c_43475,plain,
sdtmndt0(sdtpldt0(sK6,sdtasdt0(xp,sK6)),sK6) = sdtasdt0(xp,sK6),
inference(superposition,[status(thm)],[c_10386,c_10162]) ).
tcf(c_43476,plain,
sdtmndt0(sK6,sK6) = sz00,
inference(light_normalisation,[status(thm)],[c_43466,c_10238]) ).
tcf(c_43538,plain,
( ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sdtmndt0(xr,xn) )
| ( sdtasdt0(xp,sK6) != xr )
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(global_subsumption_just,[status(thm)],[c_42999,c_10489,c_28120,c_42999]) ).
tcf(c_43539,plain,
( ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( sdtasdt0(xp,sK6) != xr ) ),
inference(renaming,[status(thm)],[c_43538]) ).
tcf(c_43560,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_38772,c_141]) ).
tcf(c_43562,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xm),xr)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_38772,c_146]) ).
tcf(c_43563,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ( sdtpldt0(xn,xm) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xr) ),
inference(superposition,[status(thm)],[c_38772,c_142]) ).
tcf(c_43564,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_38772,c_112]) ).
tcf(c_43565,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xm))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ( sdtpldt0(xn,xm) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_38772,c_120]) ).
tcf(c_43566,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_38772,c_34682]) ).
tcf(c_43573,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xm))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ( sdtpldt0(xn,xm) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43565,c_79]) ).
tcf(c_43581,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43564,c_79]) ).
tcf(c_43588,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ( sdtpldt0(xn,xm) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43563,c_79]) ).
tcf(c_43596,plain,
( sdtlseqdt0(sz00,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xm),xr)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43562,c_79]) ).
tcf(c_43603,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ( xn = xr )
| ( sK8(xn,xr) = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43560,c_79]) ).
tcf(c_43696,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp ) ),
inference(global_subsumption_just,[status(thm)],[c_39773,c_10489,c_28120,c_39773]) ).
tcf(c_43706,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_43696,c_141]) ).
tcf(c_43708,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xp),xr)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_43696,c_146]) ).
tcf(c_43709,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xr) ),
inference(superposition,[status(thm)],[c_43696,c_142]) ).
tcf(c_43710,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_43696,c_112]) ).
tcf(c_43711,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_43696,c_120]) ).
tcf(c_43712,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_43696,c_34682]) ).
tcf(c_43718,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43711,c_79]) ).
tcf(c_43725,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43710,c_79]) ).
tcf(c_43731,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43709,c_79]) ).
tcf(c_43738,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xp),xr)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43708,c_79]) ).
tcf(c_43744,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43706,c_79]) ).
tcf(c_43763,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_39779,c_141]) ).
tcf(c_43765,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xp),xr)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_39779,c_146]) ).
tcf(c_43766,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xr) ),
inference(superposition,[status(thm)],[c_39779,c_142]) ).
tcf(c_43767,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_39779,c_112]) ).
tcf(c_43768,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_39779,c_120]) ).
tcf(c_43769,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_39779,c_34682]) ).
tcf(c_43776,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43768,c_79]) ).
tcf(c_43784,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43767,c_79]) ).
tcf(c_43791,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xn,xp) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43766,c_79]) ).
tcf(c_43799,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xp),xr)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43765,c_79]) ).
tcf(c_43806,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43763,c_79]) ).
tcf(c_43816,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xn))
| sdtlseqdt0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_39948,c_10489,c_28120,c_39948]) ).
tcf(c_43826,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_43816,c_141]) ).
tcf(c_43828,plain,
( sdtlseqdt0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xn),xr)) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_43816,c_146]) ).
tcf(c_43829,plain,
( sdtlseqdt0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,xn),xr) ),
inference(superposition,[status(thm)],[c_43816,c_142]) ).
tcf(c_43830,plain,
( sdtlseqdt0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xn))) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_43816,c_112]) ).
tcf(c_43831,plain,
( sdtlseqdt0(xp,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_43816,c_120]) ).
tcf(c_43832,plain,
( sdtlseqdt0(xp,sdtmndt0(xr,xn))
| sdtlseqdt0(xn,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_43816,c_34682]) ).
tcf(c_43838,plain,
( sdtlseqdt0(xp,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43831,c_79]) ).
tcf(c_43845,plain,
( sdtlseqdt0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xn))) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43830,c_79]) ).
tcf(c_43851,plain,
( sdtlseqdt0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,xn),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43829,c_79]) ).
tcf(c_43858,plain,
( sdtlseqdt0(xp,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xn),xr)) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43828,c_79]) ).
tcf(c_43864,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43826,c_79]) ).
tcf(c_43883,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_39954,c_141]) ).
tcf(c_43885,plain,
( sdtlseqdt0(xp,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xn),xr)) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_39954,c_146]) ).
tcf(c_43886,plain,
( sdtlseqdt0(xp,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,xn),xr) ),
inference(superposition,[status(thm)],[c_39954,c_142]) ).
tcf(c_43887,plain,
( sdtlseqdt0(xp,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xn))) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_39954,c_112]) ).
tcf(c_43888,plain,
( sdtlseqdt0(xp,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_39954,c_120]) ).
tcf(c_43889,plain,
( sdtlseqdt0(xp,sK8(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_39954,c_34682]) ).
tcf(c_43896,plain,
( sdtlseqdt0(xp,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43888,c_79]) ).
tcf(c_43904,plain,
( sdtlseqdt0(xp,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xn))) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43887,c_79]) ).
tcf(c_43911,plain,
( sdtlseqdt0(xp,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xn,xn) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,xn),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43886,c_79]) ).
tcf(c_43919,plain,
( sdtlseqdt0(xp,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xn),xr)) = sdtpldt0(xn,xn) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43885,c_79]) ).
tcf(c_43926,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43883,c_79]) ).
tcf(c_43936,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr ) ),
inference(global_subsumption_just,[status(thm)],[c_40852,c_10489,c_28120,c_40852]) ).
tcf(c_43946,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43936,c_141]) ).
tcf(c_43948,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43936,c_146]) ).
tcf(c_43949,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_43936,c_142]) ).
tcf(c_43950,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43936,c_112]) ).
tcf(c_43951,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43936,c_120]) ).
tcf(c_43952,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43936,c_34682]) ).
tcf(c_43958,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43951,c_79]) ).
tcf(c_43965,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43950,c_79]) ).
tcf(c_43971,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43949,c_79]) ).
tcf(c_43978,plain,
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43948,c_79]) ).
tcf(c_43984,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43946,c_79]) ).
tcf(c_44010,plain,
sdtmndt0(sdtpldt0(xr,xn),xr) = xn,
inference(superposition,[status(thm)],[c_49,c_10164]) ).
tcf(c_44011,plain,
sdtmndt0(sdtpldt0(xr,xm),xr) = xm,
inference(superposition,[status(thm)],[c_50,c_10164]) ).
tcf(c_44012,plain,
sdtmndt0(sdtpldt0(xr,xp),xr) = xp,
inference(superposition,[status(thm)],[c_51,c_10164]) ).
tcf(c_44013,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xr,sK2(X0,X1)),xr) = sK2(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_10164]) ).
tcf(c_44016,plain,
sdtmndt0(sdtpldt0(xr,sK6),xr) = sK6,
inference(superposition,[status(thm)],[c_73,c_10164]) ).
tcf(c_44017,plain,
sdtmndt0(sdtpldt0(xr,xr),xr) = xr,
inference(superposition,[status(thm)],[c_79,c_10164]) ).
tcf(c_44018,plain,
sdtmndt0(sdtpldt0(xr,sz00),xr) = sz00,
inference(superposition,[status(thm)],[c_98,c_10164]) ).
tcf(c_44019,plain,
sdtmndt0(sdtpldt0(xr,sz10),xr) = sz10,
inference(superposition,[status(thm)],[c_102,c_10164]) ).
tcf(c_44020,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xr,sdtpldt0(X0,X1)),xr) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_10164]) ).
tcf(c_44021,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xr,sK8(X0,X1)),xr) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_10164]) ).
tcf(c_44022,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xr,sdtasdt0(X0,X1)),xr) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_10164]) ).
tcf(c_44023,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xr,sK9(X0,X1)),xr) = sK9(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_10164]) ).
tcf(c_44024,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xr,sK10(X0)),xr) = sK10(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_10164]) ).
tcf(c_44025,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xr,sK11(X0)),xr) = sK11(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_10164]) ).
tcf(c_44026,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(xr,sdtmndt0(X1,X0)),xr) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_10164]) ).
tcf(c_44027,plain,
sdtmndt0(sdtpldt0(xr,sdtasdt0(xp,sK6)),xr) = sdtasdt0(xp,sK6),
inference(superposition,[status(thm)],[c_10386,c_10164]) ).
tcf(c_44028,plain,
sdtmndt0(xr,xr) = sz00,
inference(light_normalisation,[status(thm)],[c_44018,c_10240]) ).
tcf(c_44066,plain,
( sP0(sz00)
| sP1(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ( sdtasdt0(sz00,sK5(xn,sz00)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(demodulation,[status(thm)],[c_34469,c_44028]) ).
tcf(c_44068,plain,
( sP0(sz00)
| aNaturalNumber0(sK5(xn,sz00))
| sP1(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(demodulation,[status(thm)],[c_33771,c_44028]) ).
tcf(c_44070,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ~ aNaturalNumber0(sz00)
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(demodulation,[status(thm)],[c_33532,c_44028]) ).
tcf(c_44073,plain,
( sP0(sz00)
| doDivides0(sz00,xn)
| sP1(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44070,c_98]) ).
tcf(c_44080,plain,
( sP0(sz00)
| aNaturalNumber0(sK5(xn,sz00))
| sP1(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44068,c_98]) ).
tcf(c_44087,plain,
( sP0(sz00)
| sP1(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ( sdtasdt0(sz00,sK5(xn,sz00)) = xn )
| ~ iLess0(xr,sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sz00,sdtasdt0(xn,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44066,c_98]) ).
tcf(c_44114,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_40858,c_141]) ).
tcf(c_44116,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_40858,c_146]) ).
tcf(c_44117,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_40858,c_142]) ).
tcf(c_44118,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_40858,c_112]) ).
tcf(c_44119,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_40858,c_120]) ).
tcf(c_44120,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_40858,c_34682]) ).
tcf(c_44127,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44119,c_79]) ).
tcf(c_44135,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44118,c_79]) ).
tcf(c_44142,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44117,c_79]) ).
tcf(c_44150,plain,
( sdtlseqdt0(sz10,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44116,c_79]) ).
tcf(c_44157,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sK8(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44114,c_79]) ).
tcf(c_44177,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_41063,c_141]) ).
tcf(c_44178,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_41063,c_13113]) ).
tcf(c_44179,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(sdtmndt0(xr,xn),sdtmndt0(xr,sdtmndt0(xr,xn))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_41063,c_146]) ).
tcf(c_44180,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(xr,sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_41063,c_142]) ).
tcf(c_44181,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtpldt0(sdtmndt0(xr,xn),sK8(sdtmndt0(xr,xn),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_41063,c_112]) ).
tcf(c_44182,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| iLess0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_41063,c_120]) ).
tcf(c_44184,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_41063,c_16273]) ).
tcf(c_44186,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44184,c_79]) ).
tcf(c_44194,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| iLess0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44182,c_79]) ).
tcf(c_44203,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ( sdtmndt0(xr,xn) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(xr,sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44180,c_79]) ).
tcf(c_44212,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44177,c_79]) ).
tcf(c_44221,plain,
( sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_16958,c_10489,c_16958,c_28120]) ).
tcf(c_44231,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_44221,c_141]) ).
tcf(c_44233,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,sz10),sdtmndt0(xr,sdtpldt0(xn,sz10))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_44221,c_146]) ).
tcf(c_44234,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_44221,c_142]) ).
tcf(c_44235,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,sz10),sK8(sdtpldt0(xn,sz10),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_44221,c_112]) ).
tcf(c_44236,plain,
( iLess0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_44221,c_120]) ).
tcf(c_44237,plain,
( iLess0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44236,c_79]) ).
tcf(c_44244,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,sz10),sK8(sdtpldt0(xn,sz10),xr)) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44235,c_79]) ).
tcf(c_44250,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44234,c_79]) ).
tcf(c_44257,plain,
( ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,sz10),sdtmndt0(xr,sdtpldt0(xn,sz10))) = xr )
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44233,c_79]) ).
tcf(c_44263,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44231,c_79]) ).
tcf(c_44281,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_16994,c_141]) ).
tcf(c_44282,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_16994,c_13113]) ).
tcf(c_44283,plain,
( ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,sz10),sdtmndt0(xr,sdtpldt0(xn,sz10))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_16994,c_146]) ).
tcf(c_44284,plain,
( ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_16994,c_142]) ).
tcf(c_44285,plain,
( ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,sz10),sK8(sdtpldt0(xn,sz10),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_16994,c_112]) ).
tcf(c_44286,plain,
( iLess0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_16994,c_120]) ).
tcf(c_44288,plain,
( iLess0(sdtpldt0(xn,sz10),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44286,c_79]) ).
tcf(c_44296,plain,
( ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,sz10),sK8(sdtpldt0(xn,sz10),xr)) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44285,c_79]) ).
tcf(c_44303,plain,
( ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ( sdtpldt0(xn,sz10) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44284,c_79]) ).
tcf(c_44311,plain,
( ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ( sdtpldt0(sdtpldt0(xn,sz10),sdtmndt0(xr,sdtpldt0(xn,sz10))) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44283,c_79]) ).
tcf(c_44318,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44281,c_79]) ).
tcf(c_44373,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_34819,c_141]) ).
tcf(c_44374,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_34819,c_13113]) ).
tcf(c_44375,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xn,sdtmndt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xn)) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_34819,c_146]) ).
tcf(c_44376,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xn) ),
inference(superposition,[status(thm)],[c_34819,c_142]) ).
tcf(c_44377,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xn,sK8(xn,sdtpldt0(X0,sdtmndt0(xr,xn)))) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_34819,c_112]) ).
tcf(c_44378,plain,
! [X0: $i] :
( iLess0(xn,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_34819,c_120]) ).
tcf(c_44380,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44373,c_49]) ).
tcf(c_44390,plain,
! [X0: $i] :
( iLess0(xn,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44378,c_49]) ).
tcf(c_44399,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xn,sK8(xn,sdtpldt0(X0,sdtmndt0(xr,xn)))) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44377,c_49]) ).
tcf(c_44407,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44376,c_49]) ).
tcf(c_44416,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xn,sdtmndt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xn)) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44375,c_49]) ).
tcf(c_44424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| iLess0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_17126,c_10489,c_17126,c_28120]) ).
tcf(c_44449,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| iLess0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_17328]) ).
tcf(c_44457,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| iLess0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_20126,c_10489,c_20126,c_28120]) ).
tcf(c_44479,plain,
sdtmndt0(sdtpldt0(sz00,xn),sz00) = xn,
inference(superposition,[status(thm)],[c_49,c_10165]) ).
tcf(c_44480,plain,
sdtmndt0(sdtpldt0(sz00,xm),sz00) = xm,
inference(superposition,[status(thm)],[c_50,c_10165]) ).
tcf(c_44481,plain,
sdtmndt0(sdtpldt0(sz00,xp),sz00) = xp,
inference(superposition,[status(thm)],[c_51,c_10165]) ).
tcf(c_44482,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sK2(X0,X1)),sz00) = sK2(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_10165]) ).
tcf(c_44485,plain,
sdtmndt0(sdtpldt0(sz00,sK6),sz00) = sK6,
inference(superposition,[status(thm)],[c_73,c_10165]) ).
tcf(c_44486,plain,
sdtmndt0(sdtpldt0(sz00,xr),sz00) = xr,
inference(superposition,[status(thm)],[c_79,c_10165]) ).
tcf(c_44487,plain,
sdtmndt0(sdtpldt0(sz00,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_98,c_10165]) ).
tcf(c_44488,plain,
sdtmndt0(sdtpldt0(sz00,sz10),sz00) = sz10,
inference(superposition,[status(thm)],[c_102,c_10165]) ).
tcf(c_44489,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),sz00) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_10165]) ).
tcf(c_44490,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sK8(X0,X1)),sz00) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_10165]) ).
tcf(c_44491,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sdtasdt0(X0,X1)),sz00) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_10165]) ).
tcf(c_44492,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sK9(X0,X1)),sz00) = sK9(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_10165]) ).
tcf(c_44493,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sz00,sK10(X0)),sz00) = sK10(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_10165]) ).
tcf(c_44494,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sz00,sK11(X0)),sz00) = sK11(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_10165]) ).
tcf(c_44495,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz00,sdtmndt0(X1,X0)),sz00) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_10165]) ).
tcf(c_44496,plain,
sdtmndt0(sdtpldt0(sz00,sdtasdt0(xp,sK6)),sz00) = sdtasdt0(xp,sK6),
inference(superposition,[status(thm)],[c_10386,c_10165]) ).
tcf(c_44497,plain,
sdtmndt0(sz10,sz00) = sz10,
inference(light_normalisation,[status(thm)],[c_44488,c_10258]) ).
tcf(c_44498,plain,
sdtmndt0(sz00,sz00) = sz00,
inference(light_normalisation,[status(thm)],[c_44487,c_10241]) ).
tcf(c_44499,plain,
sdtmndt0(xr,sz00) = xr,
inference(light_normalisation,[status(thm)],[c_44486,c_10256]) ).
tcf(c_44500,plain,
sdtmndt0(sK6,sz00) = sK6,
inference(light_normalisation,[status(thm)],[c_44485,c_10254]) ).
tcf(c_44501,plain,
sdtmndt0(xp,sz00) = xp,
inference(light_normalisation,[status(thm)],[c_44481,c_10252]) ).
tcf(c_44502,plain,
sdtmndt0(xm,sz00) = xm,
inference(light_normalisation,[status(thm)],[c_44480,c_10251]) ).
tcf(c_44503,plain,
sdtmndt0(xn,sz00) = xn,
inference(light_normalisation,[status(thm)],[c_44479,c_10250]) ).
tcf(c_44504,plain,
sdtmndt0(sdtasdt0(xp,sK6),sz00) = sdtasdt0(xp,sK6),
inference(light_normalisation,[status(thm)],[c_44496,c_10456]) ).
tcf(c_44572,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| iLess0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_20252]) ).
tcf(c_44592,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_10234,c_28110]) ).
tcf(c_44593,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(sK8(xn,xn),sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_28110]) ).
tcf(c_44595,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,sK6))
| sdtlseqdt0(sK8(xn,sdtasdt0(xp,sK6)),sdtmndt0(xr,xn))
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_28110]) ).
tcf(c_44597,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,sK6))
| sdtlseqdt0(sdtmndt0(sdtasdt0(xp,sK6),xn),sdtmndt0(xr,xn))
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_28110]) ).
tcf(c_44598,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_28110,c_141]) ).
tcf(c_44600,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,X0),xr)) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_28110,c_146]) ).
tcf(c_44601,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xr) ),
inference(superposition,[status(thm)],[c_28110,c_142]) ).
tcf(c_44602,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_28110,c_112]) ).
tcf(c_44603,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_28110,c_120]) ).
tcf(c_44604,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_28110,c_34682]) ).
tcf(c_44605,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X1))
| sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28110,c_141]) ).
tcf(c_44606,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28110,c_13113]) ).
tcf(c_44607,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(X0,sdtmndt0(sdtmndt0(xr,xn),X0)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28110,c_146]) ).
tcf(c_44608,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_28110,c_142]) ).
tcf(c_44609,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(X0,sK8(X0,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28110,c_112]) ).
tcf(c_44610,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xn,X0))
| iLess0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28110,c_120]) ).
tcf(c_44617,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(sz00,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44592,c_98]) ).
tcf(c_44683,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44603,c_79]) ).
tcf(c_44692,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44602,c_79]) ).
tcf(c_44700,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44601,c_79]) ).
tcf(c_44709,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,X0),xr)) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44600,c_79]) ).
tcf(c_44717,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44598,c_79]) ).
tcf(c_44875,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_10234,c_28113]) ).
tcf(c_44876,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sK8(xn,xn))
| ( xn = xr )
| ( sK8(xn,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_28113]) ).
tcf(c_44878,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sK8(xn,sdtasdt0(xp,sK6)))
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_28113]) ).
tcf(c_44880,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_28113]) ).
tcf(c_44881,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xn,X1),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28113,c_141]) ).
tcf(c_44882,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28113,c_13113]) ).
tcf(c_44883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtmndt0(xr,xn),sdtmndt0(X0,sdtmndt0(xr,xn))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28113,c_146]) ).
tcf(c_44884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28113,c_142]) ).
tcf(c_44885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtmndt0(xr,xn),sK8(sdtmndt0(xr,xn),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28113,c_112]) ).
tcf(c_44886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| iLess0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28113,c_120]) ).
tcf(c_44888,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,xp),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28113,c_13044]) ).
tcf(c_44889,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28113,c_13120]) ).
tcf(c_44905,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),X1)
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(superposition,[status(thm)],[c_28113,c_141]) ).
tcf(c_44906,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_28113,c_13113]) ).
tcf(c_44907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_28113,c_146]) ).
tcf(c_44908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_28113,c_142]) ).
tcf(c_44909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_28113,c_112]) ).
tcf(c_44910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_28113,c_120]) ).
tcf(c_44911,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),sz00)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44875,c_98]) ).
tcf(c_44923,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,xp),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xp )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44888,c_51]) ).
tcf(c_44939,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,xn),xr)
| sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sK8(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44889,c_49]) ).
tcf(c_44987,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44910,c_79]) ).
tcf(c_44996,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44909,c_79]) ).
tcf(c_45004,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44908,c_79]) ).
tcf(c_45013,plain,
! [X0: $i] :
( sdtlseqdt0(sdtmndt0(xr,xn),X0)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44907,c_79]) ).
tcf(c_45021,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),X1)
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44905,c_79]) ).
tcf(c_45202,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_34709,c_141]) ).
tcf(c_45203,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_34709,c_13113]) ).
tcf(c_45204,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xn,sdtmndt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xn)) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_34709,c_146]) ).
tcf(c_45205,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xn) ),
inference(superposition,[status(thm)],[c_34709,c_142]) ).
tcf(c_45206,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xn,sK8(xn,sdtpldt0(X0,sdtmndt0(xr,xn)))) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_34709,c_112]) ).
tcf(c_45207,plain,
! [X0: $i] :
( iLess0(xn,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(superposition,[status(thm)],[c_34709,c_120]) ).
tcf(c_45209,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45202,c_49]) ).
tcf(c_45218,plain,
! [X0: $i] :
( iLess0(xn,sdtpldt0(X0,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45207,c_49]) ).
tcf(c_45226,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xn,sK8(xn,sdtpldt0(X0,sdtmndt0(xr,xn)))) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45206,c_49]) ).
tcf(c_45233,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(X0,sdtmndt0(xr,xn)) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn)))
| ~ sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45205,c_49]) ).
tcf(c_45241,plain,
! [X0: $i] :
( ( xn = xr )
| ( X0 = xn )
| ( sdtpldt0(xn,sdtmndt0(sdtpldt0(X0,sdtmndt0(xr,xn)),xn)) = sdtpldt0(X0,sdtmndt0(xr,xn)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,sdtmndt0(xr,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45204,c_49]) ).
tcf(c_45281,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_29730,c_10489,c_28120,c_29730]) ).
tcf(c_45293,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45281,c_141]) ).
tcf(c_45295,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45281,c_146]) ).
tcf(c_45296,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_45281,c_142]) ).
tcf(c_45297,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45281,c_112]) ).
tcf(c_45298,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45281,c_120]) ).
tcf(c_45299,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45281,c_34682]) ).
tcf(c_45306,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45298,c_79]) ).
tcf(c_45314,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45297,c_79]) ).
tcf(c_45321,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45296,c_79]) ).
tcf(c_45329,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,xr),xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45295,c_79]) ).
tcf(c_45336,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45293,c_79]) ).
tcf(c_45357,plain,
sdtmndt0(sdtpldt0(sz10,xn),sz10) = xn,
inference(superposition,[status(thm)],[c_49,c_10166]) ).
tcf(c_45358,plain,
sdtmndt0(sdtpldt0(sz10,xm),sz10) = xm,
inference(superposition,[status(thm)],[c_50,c_10166]) ).
tcf(c_45359,plain,
sdtmndt0(sdtpldt0(sz10,xp),sz10) = xp,
inference(superposition,[status(thm)],[c_51,c_10166]) ).
tcf(c_45360,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz10,sK2(X0,X1)),sz10) = sK2(X0,X1) )
| ~ sP1(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_10166]) ).
tcf(c_45363,plain,
sdtmndt0(sdtpldt0(sz10,sK6),sz10) = sK6,
inference(superposition,[status(thm)],[c_73,c_10166]) ).
tcf(c_45364,plain,
sdtmndt0(sdtpldt0(sz10,xr),sz10) = xr,
inference(superposition,[status(thm)],[c_79,c_10166]) ).
tcf(c_45365,plain,
sdtmndt0(sdtpldt0(sz10,sz00),sz10) = sz00,
inference(superposition,[status(thm)],[c_98,c_10166]) ).
tcf(c_45366,plain,
sdtmndt0(sdtpldt0(sz10,sz10),sz10) = sz10,
inference(superposition,[status(thm)],[c_102,c_10166]) ).
tcf(c_45367,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz10,sdtpldt0(X0,X1)),sz10) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_119,c_10166]) ).
tcf(c_45368,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz10,sK8(X0,X1)),sz10) = sK8(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_10166]) ).
tcf(c_45369,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz10,sdtasdt0(X0,X1)),sz10) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_10166]) ).
tcf(c_45370,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz10,sK9(X0,X1)),sz10) = sK9(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_122,c_10166]) ).
tcf(c_45371,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sz10,sK10(X0)),sz10) = sK10(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_10166]) ).
tcf(c_45372,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sz10,sK11(X0)),sz10) = sK11(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_10166]) ).
tcf(c_45373,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(sdtpldt0(sz10,sdtmndt0(X1,X0)),sz10) = sdtmndt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_10166]) ).
tcf(c_45374,plain,
sdtmndt0(sdtpldt0(sz10,sdtasdt0(xp,sK6)),sz10) = sdtasdt0(xp,sK6),
inference(superposition,[status(thm)],[c_10386,c_10166]) ).
tcf(c_45375,plain,
sdtmndt0(sz10,sz10) = sz00,
inference(light_normalisation,[status(thm)],[c_45365,c_10242]) ).
tcf(c_45488,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28109,c_141]) ).
tcf(c_45489,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28109,c_13113]) ).
tcf(c_45490,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtpldt0(X0,sdtmndt0(sdtmndt0(xr,xn),X0)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28109,c_146]) ).
tcf(c_45491,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(sdtmndt0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_28109,c_142]) ).
tcf(c_45492,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtpldt0(X0,sK8(X0,sdtmndt0(xr,xn))) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28109,c_112]) ).
tcf(c_45493,plain,
! [X0: $i] :
( iLess0(X0,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28109,c_120]) ).
tcf(c_45494,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ doDivides0(xr,xr)
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28109,c_34682]) ).
tcf(c_45496,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_28109,c_16231]) ).
tcf(c_45497,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sK8(xn,xr),xr)
| ~ doDivides0(sK8(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_28109,c_16287]) ).
tcf(c_45498,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtmndt0(xr,xn)))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ doDivides0(sdtmndt0(xr,xn),xr)
| ~ doDivides0(sdtmndt0(xr,xn),xn) ),
inference(superposition,[status(thm)],[c_28109,c_28114]) ).
tcf(c_45500,plain,
( sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45494,c_79,c_10974]) ).
tcf(c_45590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_45496,c_10489,c_16231,c_28120,c_28109]) ).
tcf(c_45612,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6)))
| ~ doDivides0(sK8(xn,sdtasdt0(xp,sK6)),xr)
| ~ doDivides0(sK8(xn,sdtasdt0(xp,sK6)),xn) ),
inference(superposition,[status(thm)],[c_11892,c_45590]) ).
tcf(c_45614,plain,
( sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn))
| ~ doDivides0(sdtmndt0(sdtasdt0(xp,sK6),xn),xr)
| ~ doDivides0(sdtmndt0(sdtasdt0(xp,sK6),xn),xn) ),
inference(superposition,[status(thm)],[c_12419,c_45590]) ).
tcf(c_45615,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(superposition,[status(thm)],[c_45590,c_141]) ).
tcf(c_45616,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_45590,c_13113]) ).
tcf(c_45617,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_45590,c_146]) ).
tcf(c_45618,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_45590,c_142]) ).
tcf(c_45619,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_45590,c_112]) ).
tcf(c_45620,plain,
! [X0: $i] :
( iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_45590,c_120]) ).
tcf(c_45622,plain,
! [X0: $i] :
( iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45620,c_79]) ).
tcf(c_45633,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45619,c_79]) ).
tcf(c_45643,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45618,c_79]) ).
tcf(c_45654,plain,
! [X0: $i] :
( ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45617,c_79]) ).
tcf(c_45664,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xr)
| ~ doDivides0(X1,xn)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45615,c_79]) ).
tcf(c_45710,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30684,c_141]) ).
tcf(c_45712,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)),xr)) = sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30684,c_146]) ).
tcf(c_45713,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)),xr) ),
inference(superposition,[status(thm)],[c_30684,c_142]) ).
tcf(c_45714,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))) = sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30684,c_112]) ).
tcf(c_45715,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30684,c_120]) ).
tcf(c_45716,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(superposition,[status(thm)],[c_30684,c_34682]) ).
tcf(c_45723,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45710,c_79]) ).
tcf(c_45732,plain,
! [X0: $i] :
( iLess0(xr,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45715,c_79]) ).
tcf(c_45740,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))) = sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45714,c_79]) ).
tcf(c_45747,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45713,c_79]) ).
tcf(c_45755,plain,
! [X0: $i] :
( ( xn = xr )
| ( sdtpldt0(sK8(xn,xr),X0) = sK8(xn,xr) )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)),xr)) = sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sdtmndt0(xr,xn),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45712,c_79]) ).
tcf(c_45801,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_35930,c_10489,c_28120,c_35930]) ).
tcf(c_45816,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(sK8(xn,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xn) )
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_45801]) ).
tcf(c_45818,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,sK6))
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(sK8(xn,sdtasdt0(xp,sK6)),xr)
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_45801]) ).
tcf(c_45820,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,sK6))
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(sdtmndt0(sdtasdt0(xp,sK6),xn),xr)
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_45801]) ).
tcf(c_45821,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_45801,c_141]) ).
tcf(c_45823,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,X0),xr)) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_45801,c_146]) ).
tcf(c_45824,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xr) ),
inference(superposition,[status(thm)],[c_45801,c_142]) ).
tcf(c_45825,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_45801,c_112]) ).
tcf(c_45826,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_45801,c_120]) ).
tcf(c_45827,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_45801,c_34682]) ).
tcf(c_45841,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| iLess0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45826,c_79]) ).
tcf(c_45850,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45825,c_79]) ).
tcf(c_45858,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45824,c_79]) ).
tcf(c_45867,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,X0),xr)) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45823,c_79]) ).
tcf(c_45875,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtmndt0(xr,xn))
| sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45821,c_79]) ).
tcf(c_45914,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,sK8(xn,xr))
| sdtlseqdt0(sK8(xn,xn),xr)
| ( xn = xr )
| ( sK8(xn,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_35932]) ).
tcf(c_45916,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,sK6))
| sdtlseqdt0(xn,sK8(xn,xr))
| sdtlseqdt0(sK8(xn,sdtasdt0(xp,sK6)),xr)
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_35932]) ).
tcf(c_45918,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,sK6))
| sdtlseqdt0(xn,sK8(xn,xr))
| sdtlseqdt0(sdtmndt0(sdtasdt0(xp,sK6),xn),xr)
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_35932]) ).
tcf(c_45919,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sK8(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_35932,c_141]) ).
tcf(c_45921,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,X0),xr)) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_35932,c_146]) ).
tcf(c_45922,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xr) ),
inference(superposition,[status(thm)],[c_35932,c_142]) ).
tcf(c_45923,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_35932,c_112]) ).
tcf(c_45924,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_35932,c_120]) ).
tcf(c_45925,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sK8(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_35932,c_34682]) ).
tcf(c_45941,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sK8(xn,xr))
| iLess0(xr,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45924,c_79]) ).
tcf(c_45951,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xr,sK8(xr,sdtpldt0(xn,X0))) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45923,c_79]) ).
tcf(c_45960,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(sdtpldt0(xn,X0),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45922,c_79]) ).
tcf(c_45970,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sK8(xn,xr))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xr,sdtmndt0(sdtpldt0(xn,X0),xr)) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45921,c_79]) ).
tcf(c_45979,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sK8(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,X0))
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45919,c_79]) ).
tcf(c_46131,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_28099,c_35935]) ).
tcf(c_46132,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_10234,c_35935]) ).
tcf(c_46133,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,sK8(xn,xn))
| sdtlseqdt0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_35935]) ).
tcf(c_46135,plain,
( sdtlseqdt0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(xn,sK8(xn,sdtasdt0(xp,sK6)))
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_35935]) ).
tcf(c_46137,plain,
( sdtlseqdt0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(xn,sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sK8(xn,xr) )
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_35935]) ).
tcf(c_46138,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,X1),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(X0,sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35935,c_141]) ).
tcf(c_46139,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35935,c_13113]) ).
tcf(c_46140,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sK8(xn,xr),sdtmndt0(xr,sK8(xn,xr))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35935,c_146]) ).
tcf(c_46141,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(xr,sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35935,c_142]) ).
tcf(c_46142,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sK8(xn,xr),sK8(sK8(xn,xr),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35935,c_112]) ).
tcf(c_46143,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35935,c_120]) ).
tcf(c_46144,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_35935,c_16287]) ).
tcf(c_46145,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(superposition,[status(thm)],[c_35935,c_141]) ).
tcf(c_46146,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_35935,c_13113]) ).
tcf(c_46147,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_35935,c_146]) ).
tcf(c_46148,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_35935,c_142]) ).
tcf(c_46149,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_35935,c_112]) ).
tcf(c_46150,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sK8(xn,xr),xr)
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_35935,c_120]) ).
tcf(c_46167,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46144,c_79]) ).
tcf(c_46176,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sK8(xn,xr),xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46143,c_79]) ).
tcf(c_46185,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sK8(xn,xr),sK8(sK8(xn,xr),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46142,c_79]) ).
tcf(c_46193,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sK8(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(xr,sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46141,c_79]) ).
tcf(c_46202,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sK8(xn,xr),sdtmndt0(xr,sK8(xn,xr))) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46140,c_79]) ).
tcf(c_46210,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,X1),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ sdtlseqdt0(X0,sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46138,c_79]) ).
tcf(c_46221,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sK8(xn,xr),xr)
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46150,c_79]) ).
tcf(c_46231,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46149,c_79]) ).
tcf(c_46240,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46148,c_79]) ).
tcf(c_46250,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46147,c_79]) ).
tcf(c_46259,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sK8(xn,xr),xr)
| ( xn = xr )
| ( sK8(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46145,c_79]) ).
tcf(c_46342,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_35936,c_10489,c_28120,c_35936]) ).
tcf(c_46357,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_10234,c_46342]) ).
tcf(c_46358,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,sK8(xn,xn))
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sK8(xn,xn) )
| ~ aNaturalNumber0(sK8(xn,xn)) ),
inference(superposition,[status(thm)],[c_11844,c_46342]) ).
tcf(c_46360,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(xn,sK8(xn,sdtasdt0(xp,sK6)))
| ( xm = sz00 )
| ( xn = xr )
| ( sK8(xn,sdtasdt0(xp,sK6)) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sK8(xn,sdtasdt0(xp,sK6))) ),
inference(superposition,[status(thm)],[c_11892,c_46342]) ).
tcf(c_46362,plain,
( sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtasdt0(xp,sK6),xr)
| sdtlseqdt0(xn,sdtmndt0(sdtasdt0(xp,sK6),xn))
| ( xm = sz00 )
| ( xn = xr )
| ( sdtmndt0(sdtasdt0(xp,sK6),xn) = sdtmndt0(xr,xn) )
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xp,sK6),xn)) ),
inference(superposition,[status(thm)],[c_12419,c_46342]) ).
tcf(c_46363,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,X1),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_46342,c_141]) ).
tcf(c_46364,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_46342,c_13113]) ).
tcf(c_46365,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtmndt0(xr,xn),sdtmndt0(xr,sdtmndt0(xr,xn))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_46342,c_146]) ).
tcf(c_46366,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(xr,sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_46342,c_142]) ).
tcf(c_46367,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtmndt0(xr,xn),sK8(sdtmndt0(xr,xn),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_46342,c_112]) ).
tcf(c_46368,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_46342,c_120]) ).
tcf(c_46369,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(superposition,[status(thm)],[c_46342,c_28114]) ).
tcf(c_46370,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(superposition,[status(thm)],[c_46342,c_16273]) ).
tcf(c_46371,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(superposition,[status(thm)],[c_46342,c_141]) ).
tcf(c_46372,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_46342,c_13113]) ).
tcf(c_46373,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_46342,c_146]) ).
tcf(c_46374,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_46342,c_142]) ).
tcf(c_46375,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_46342,c_112]) ).
tcf(c_46376,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(superposition,[status(thm)],[c_46342,c_120]) ).
tcf(c_46377,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46357,c_12265,c_98]) ).
tcf(c_46390,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| iLess0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46376,c_79]) ).
tcf(c_46399,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46370,c_79]) ).
tcf(c_46408,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sK8(xn,xr) = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK8(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46369,c_79]) ).
tcf(c_46417,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sdtmndt0(xr,xn),xr)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46368,c_79]) ).
tcf(c_46426,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sK8(sdtpldt0(xn,X0),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46375,c_79]) ).
tcf(c_46434,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(xn,X0) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0))
| ~ sdtlseqdt0(xr,sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46374,c_79]) ).
tcf(c_46443,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtpldt0(xn,X0),sdtmndt0(xr,sdtpldt0(xn,X0))) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46373,c_79]) ).
tcf(c_46451,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtmndt0(xr,xn),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,X1))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46371,c_79]) ).
tcf(c_46461,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtmndt0(xr,xn),sK8(sdtmndt0(xr,xn),xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46367,c_79]) ).
tcf(c_46469,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(xr,sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46366,c_79]) ).
tcf(c_46478,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X0 )
| ( sdtpldt0(sdtmndt0(xr,xn),sdtmndt0(xr,sdtmndt0(xr,xn))) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46365,c_79]) ).
tcf(c_46486,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtpldt0(xn,X1),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ sdtlseqdt0(X0,sdtmndt0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46363,c_79]) ).
fof(f115,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(f116,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(f117,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,[],[f51,f116,f115]) ).
fof(f121,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,[],[f115]) ).
fof(f122,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,[],[f121]) ).
fof(f123,plain,
! [X0] :
( ~ sP0(X0)
| ( ~ isPrime0(X0)
& ( ( doDivides0(sK3(X0),X0)
& sdtasdt0(sK3(X0),sK4(X0)) = X0
& aNaturalNumber0(sK4(X0))
& aNaturalNumber0(sK3(X0))
& sK3(X0) != X0
& sz10 != sK3(X0) )
| sz10 = X0
| sz00 = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X1,sK3(X0)),skolemize(X2,sK4(X0))],[f122]) ).
fof(f147,plain,
! [X0] :
( ~ sP0(X0)
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f148,plain,
! [X0] :
( ~ sP0(X0)
| doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f123]) ).
fof(f149,plain,
! [X0] :
( ~ sP0(X0)
| sdtasdt0(sK3(X0),sK4(X0)) = X0
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f123]) ).
fof(f150,plain,
! [X0] :
( ~ sP0(X0)
| aNaturalNumber0(sK4(X0))
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f123]) ).
fof(f151,plain,
! [X0] :
( ~ sP0(X0)
| aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f123]) ).
fof(f152,plain,
! [X0] :
( ~ sP0(X0)
| sK3(X0) != X0
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f123]) ).
fof(f153,plain,
! [X0] :
( ~ sP0(X0)
| sz10 != sK3(X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_55,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0)
| ( sK3(X0) != sz10 ) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_56,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0)
| ( sK3(X0) != X0 ) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_57,plain,
! [X0: $i] :
( aNaturalNumber0(sK3(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_58,plain,
! [X0: $i] :
( aNaturalNumber0(sK4(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_59,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),sK4(X0)) = X0 )
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_60,plain,
! [X0: $i] :
( doDivides0(sK3(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_61,plain,
! [X0: $i] :
( ~ isPrime0(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_10500,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK3(X0)) = sK3(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_101]) ).
tcf(c_10501,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),sz10) = sK3(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_100]) ).
tcf(c_10502,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK3(X0)) = sK3(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_97]) ).
tcf(c_10503,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),sz00) = sK3(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_96]) ).
tcf(c_10504,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK3(X0)) = sz00 )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_95]) ).
tcf(c_10505,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),sz00) = sz00 )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_94]) ).
tcf(c_10506,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz10 )
| ( X1 = sz00 )
| ( sdtmndt0(sdtpldt0(sK3(X1),X0),sK3(X1)) = X0 )
| ~ sP0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_215]) ).
tcf(c_10552,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK4(X0)) = sK4(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_101]) ).
tcf(c_10553,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK4(X0),sz10) = sK4(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_100]) ).
tcf(c_10554,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK4(X0)) = sK4(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_97]) ).
tcf(c_10555,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK4(X0),sz00) = sK4(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_96]) ).
tcf(c_10556,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK4(X0)) = sz00 )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_95]) ).
tcf(c_10557,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK4(X0),sz00) = sz00 )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_94]) ).
tcf(c_10558,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz10 )
| ( X1 = sz00 )
| ( sdtmndt0(sdtpldt0(sK4(X1),X0),sK4(X1)) = X0 )
| ~ sP0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_215]) ).
tcf(c_10699,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz10 )
| ( X1 = sz00 )
| ( sdtpldt0(sK3(X1),X0) = sdtpldt0(X0,sK3(X1)) )
| ~ sP0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_118]) ).
tcf(c_10700,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz10 )
| ( X1 = sz00 )
| ( sdtpldt0(sK4(X1),X0) = sdtpldt0(X0,sK4(X1)) )
| ~ sP0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_118]) ).
tcf(c_10857,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz10 )
| ( X1 = sz00 )
| ( sdtasdt0(sK3(X1),X0) = sdtasdt0(X0,sK3(X1)) )
| ~ sP0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_125]) ).
tcf(c_10858,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz10 )
| ( X1 = sz00 )
| ( sdtasdt0(sK4(X1),X0) = sdtasdt0(X0,sK4(X1)) )
| ~ sP0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_125]) ).
tcf(c_11171,plain,
( ( xp = sz10 )
| ( xp = sz00 )
| ( sK3(xp) = sz10 )
| ( sK3(xp) = xp )
| ~ sP0(xp)
| ~ aNaturalNumber0(sK3(xp)) ),
inference(superposition,[status(thm)],[c_60,c_71]) ).
tcf(c_11174,plain,
( ( sK3(xp) = sz10 )
| ( sK3(xp) = xp )
| ~ sP0(xp)
| ~ aNaturalNumber0(sK3(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11171,c_69,c_68]) ).
tcf(c_11543,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xn,sK3(X0)),xn) = sK3(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_10159]) ).
tcf(c_11544,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xn,sK4(X0)),xn) = sK4(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_10159]) ).
tcf(c_11729,plain,
! [X0: $i] :
( sdtlseqdt0(sK3(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0)) ),
inference(superposition,[status(thm)],[c_60,c_127]) ).
tcf(c_12058,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),sK9(sK3(X0),X0)) = X0 )
| ~ sP0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0)) ),
inference(superposition,[status(thm)],[c_60,c_123]) ).
tcf(c_12594,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK3(X0),X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sP0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0))
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_128]) ).
tcf(c_13275,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtpldt0(sdtpldt0(sK3(X2),X0),X1) = sdtpldt0(sK3(X2),sdtpldt0(X0,X1)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_117]) ).
tcf(c_13276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtpldt0(sdtpldt0(sK4(X2),X0),X1) = sdtpldt0(sK4(X2),sdtpldt0(X0,X1)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_117]) ).
tcf(c_13415,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtasdt0(sdtasdt0(sK3(X2),X0),X1) = sdtasdt0(sK3(X2),sdtasdt0(X0,X1)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_124]) ).
tcf(c_13416,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtasdt0(sdtasdt0(sK4(X2),X0),X1) = sdtasdt0(sK4(X2),sdtasdt0(X0,X1)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_124]) ).
tcf(c_13837,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK3(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz10 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sP0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK3(sdtpldt0(X0,X1)))
| ~ doDivides0(sK3(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_60,c_104]) ).
tcf(c_14877,plain,
( doDivides0(sK3(sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ sP0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sK3(sdtmndt0(xr,xn)))
| ~ doDivides0(sK3(sdtmndt0(xr,xn)),xn) ),
inference(superposition,[status(thm)],[c_60,c_14126]) ).
tcf(c_14916,plain,
( doDivides0(sK3(sK8(xn,xr)),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ sP0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ aNaturalNumber0(sK3(sK8(xn,xr)))
| ~ doDivides0(sK3(sK8(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_60,c_14140]) ).
tcf(c_15438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(sK3(X2),X0),sdtasdt0(sK3(X2),X1)) = sdtasdt0(sK3(X2),sdtpldt0(X0,X1)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_115]) ).
tcf(c_15439,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(sK4(X2),X0),sdtasdt0(sK4(X2),X1)) = sdtasdt0(sK4(X2),sdtpldt0(X0,X1)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_115]) ).
tcf(c_15594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sK3(X2)),sdtasdt0(X1,sK3(X2))) = sdtasdt0(sdtpldt0(X0,X1),sK3(X2)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57,c_116]) ).
tcf(c_15595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz10 )
| ( X2 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,sK4(X2)),sdtasdt0(X1,sK4(X2))) = sdtasdt0(sdtpldt0(X0,X1),sK4(X2)) )
| ~ sP0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_116]) ).
tcf(c_29557,plain,
( doDivides0(sK3(sdtmndt0(xr,xn)),xr)
| ( xn = xr )
| ( sdtmndt0(xr,xn) = sz10 )
| ( sdtmndt0(xr,xn) = sz00 )
| ~ sP0(sdtmndt0(xr,xn))
| ~ aNaturalNumber0(sK3(sdtmndt0(xr,xn)))
| ~ doDivides0(sK3(sdtmndt0(xr,xn)),xn) ),
inference(superposition,[status(thm)],[c_60,c_29544]) ).
tcf(c_32193,plain,
( doDivides0(sK3(sK8(xn,xr)),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ sP0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK3(sK8(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14916,c_57]) ).
tcf(c_32215,plain,
( doDivides0(sK3(sK8(xn,xr)),xr)
| ( xn = xr )
| ( sK8(xn,xr) = sz10 )
| ( sK8(xn,xr) = sz00 )
| ~ sP0(sK8(xn,xr))
| ~ aNaturalNumber0(sK8(xn,xr))
| ~ doDivides0(sK3(sdtmndt0(xr,xn)),xn) ),
inference(superposition,[status(thm)],[c_28099,c_32193]) ).
tcf(c_39980,plain,
( doDivides0(sK3(xn),sz00)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ sP0(xn)
| ~ aNaturalNumber0(sK3(xn)) ),
inference(superposition,[status(thm)],[c_60,c_13872]) ).
tcf(c_39989,plain,
( doDivides0(sK3(xn),sz00)
| ( xn = sz10 )
| ~ sP0(xn)
| ~ aNaturalNumber0(sK3(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39980,c_11487]) ).
tcf(c_40005,plain,
( doDivides0(sK3(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ sP0(xm)
| ~ aNaturalNumber0(sK3(xm)) ),
inference(superposition,[status(thm)],[c_60,c_13876]) ).
tcf(c_40036,plain,
( doDivides0(sK3(xp),sz00)
| ( xp = sz10 )
| ( xp = sz00 )
| ~ sP0(xp)
| ~ aNaturalNumber0(sK3(xp)) ),
inference(superposition,[status(thm)],[c_60,c_13880]) ).
tcf(c_40044,plain,
( doDivides0(sK3(xp),sz00)
| ~ sP0(xp)
| ~ aNaturalNumber0(sK3(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40036,c_69,c_68]) ).
tcf(c_40611,plain,
( doDivides0(sK3(sK6),sz00)
| ( sz10 = sK6 )
| ( sz00 = sK6 )
| ~ sP0(sK6)
| ~ aNaturalNumber0(sK3(sK6)) ),
inference(superposition,[status(thm)],[c_60,c_13884]) ).
tcf(c_40663,plain,
( doDivides0(sK3(sK7),sz00)
| ( sz10 = sK7 )
| ( sz00 = sK7 )
| ~ sP0(sK7)
| ~ aNaturalNumber0(sK3(sK7)) ),
inference(superposition,[status(thm)],[c_60,c_13888]) ).
tcf(c_40706,plain,
( doDivides0(sK3(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ sP0(xr)
| ~ aNaturalNumber0(sK3(xr)) ),
inference(superposition,[status(thm)],[c_60,c_13896]) ).
tcf(c_41355,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xm,sK3(X0)),xm) = sK3(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_10160]) ).
tcf(c_41356,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xm,sK4(X0)),xm) = sK4(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_10160]) ).
tcf(c_42423,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xp,sK3(X0)),xp) = sK3(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_10161]) ).
tcf(c_42424,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xp,sK4(X0)),xp) = sK4(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_10161]) ).
tcf(c_43462,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sK6,sK3(X0)),sK6) = sK3(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_10162]) ).
tcf(c_43463,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sK6,sK4(X0)),sK6) = sK4(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_10162]) ).
tcf(c_44014,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xr,sK3(X0)),xr) = sK3(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_10164]) ).
tcf(c_44015,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(xr,sK4(X0)),xr) = sK4(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_10164]) ).
tcf(c_44483,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sz00,sK3(X0)),sz00) = sK3(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_10165]) ).
tcf(c_44484,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sz00,sK4(X0)),sz00) = sK4(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_10165]) ).
tcf(c_45361,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sz10,sK3(X0)),sz10) = sK3(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_57,c_10166]) ).
tcf(c_45362,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtmndt0(sdtpldt0(sz10,sK4(X0)),sz10) = sK4(X0) )
| ~ sP0(X0) ),
inference(superposition,[status(thm)],[c_58,c_10166]) ).
tcf(c_46557,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_46486,c_46478,c_46469,c_46461,c_46451,c_46443,c_46434,c_46426,c_46417,c_46408,c_46399,c_46390,c_46377,c_46376,c_46375,c_46374,c_46373,c_46372,c_46371,c_46370,c_46369,c_46368,c_46367,c_46366,c_46365,c_46364,c_46363,c_46362,c_46360,c_46358,c_46357,c_46342,c_46259,c_46250,c_46240,c_46231,c_46221,c_46210,c_46202,c_46193,c_46185,c_46176,c_46167,c_46150,c_46149,c_46148,c_46147,c_46146,c_46145,c_46144,c_46143,c_46142,c_46141,c_46140,c_46139,c_46138,c_46137,c_46135,c_46133,c_46132,c_46131,c_45979,c_45970,c_45960,c_45951,c_45941,c_45925,c_45924,c_45923,c_45922,c_45921,c_45919,c_45918,c_45916,c_45914,c_45875,c_45867,c_45858,c_45850,c_45841,c_45827,c_45826,c_45825,c_45824,c_45823,c_45821,c_45820,c_45818,c_45816,c_45801,c_45755,c_45747,c_45740,c_45732,c_45723,c_45716,c_45715,c_45714,c_45713,c_45712,c_45710,c_45664,c_45654,c_45643,c_45633,c_45622,c_45620,c_45619,c_45618,c_45617,c_45616,c_45615,c_45614,c_45612,c_45590,c_45500,c_45498,c_45497,c_45496,c_45494,c_45493,c_45492,c_45491,c_45490,c_45489,c_45488,c_45375,c_45374,c_45373,c_45372,c_45371,c_45370,c_45369,c_45368,c_45367,c_45366,c_45365,c_45364,c_45363,c_45362,c_45361,c_45360,c_45359,c_45358,c_45357,c_45336,c_45329,c_45321,c_45314,c_45306,c_45299,c_45298,c_45297,c_45296,c_45295,c_45293,c_45281,c_45241,c_45233,c_45226,c_45218,c_45209,c_45207,c_45206,c_45205,c_45204,c_45203,c_45202,c_45021,c_45013,c_45004,c_44996,c_44987,c_44939,c_44923,c_44911,c_44910,c_44909,c_44908,c_44907,c_44906,c_44905,c_44889,c_44888,c_44886,c_44885,c_44884,c_44883,c_44882,c_44881,c_44880,c_44878,c_44876,c_44875,c_44717,c_44709,c_44700,c_44692,c_44683,c_44617,c_44610,c_44609,c_44608,c_44607,c_44606,c_44605,c_44604,c_44603,c_44602,c_44601,c_44600,c_44598,c_44597,c_44595,c_44593,c_44592,c_44572,c_44504,c_44503,c_44502,c_44501,c_44500,c_44499,c_44498,c_44497,c_44496,c_44495,c_44494,c_44493,c_44492,c_44491,c_44490,c_44489,c_44488,c_44487,c_44486,c_44485,c_44484,c_44483,c_44482,c_44481,c_44480,c_44479,c_44457,c_44449,c_44424,c_44416,c_44407,c_44399,c_44390,c_44380,c_44378,c_44377,c_44376,c_44375,c_44374,c_44373,c_44318,c_44311,c_44303,c_44296,c_44288,c_44286,c_44285,c_44284,c_44283,c_44282,c_44281,c_44263,c_44257,c_44250,c_44244,c_44237,c_44236,c_44235,c_44234,c_44233,c_44231,c_44221,c_44212,c_44203,c_44194,c_44186,c_44184,c_44182,c_44181,c_44180,c_44179,c_44178,c_44177,c_44157,c_44150,c_44142,c_44135,c_44127,c_44120,c_44119,c_44118,c_44117,c_44116,c_44114,c_44087,c_44080,c_44073,c_44070,c_44068,c_44066,c_44028,c_44027,c_44026,c_44025,c_44024,c_44023,c_44022,c_44021,c_44020,c_44019,c_44018,c_44017,c_44016,c_44015,c_44014,c_44013,c_44012,c_44011,c_44010,c_43984,c_43978,c_43971,c_43965,c_43958,c_43952,c_43951,c_43950,c_43949,c_43948,c_43946,c_43936,c_43926,c_43919,c_43911,c_43904,c_43896,c_43889,c_43888,c_43887,c_43886,c_43885,c_43883,c_43864,c_43858,c_43851,c_43845,c_43838,c_43832,c_43831,c_43830,c_43829,c_43828,c_43826,c_43816,c_43806,c_43799,c_43791,c_43784,c_43776,c_43769,c_43768,c_43767,c_43766,c_43765,c_43763,c_43744,c_43738,c_43731,c_43725,c_43718,c_43712,c_43711,c_43710,c_43709,c_43708,c_43706,c_43696,c_43603,c_43596,c_43588,c_43581,c_43573,c_43566,c_43565,c_43564,c_43563,c_43562,c_43560,c_43539,c_43476,c_43475,c_43474,c_43473,c_43472,c_43471,c_43470,c_43469,c_43468,c_43467,c_43466,c_43465,c_43464,c_43463,c_43462,c_43461,c_43460,c_43459,c_43458,c_43143,c_43134,c_43117,c_43068,c_43061,c_43042,c_43035,c_43028,c_43021,c_43015,c_43009,c_43004,c_43000,c_42999,c_42998,c_42997,c_42996,c_42995,c_42994,c_42993,c_42992,c_42991,c_42990,c_42988,c_42986,c_42985,c_42984,c_42983,c_42982,c_42979,c_42978,c_42989,c_42987,c_42975,c_42974,c_42973,c_42929,c_42923,c_42916,c_42910,c_42903,c_42897,c_42896,c_42895,c_42894,c_42893,c_42891,c_42881,c_42838,c_42831,c_42823,c_42816,c_42808,c_42801,c_42800,c_42799,c_42798,c_42797,c_42795,c_42762,c_42756,c_42749,c_42743,c_42736,c_42730,c_42729,c_42728,c_42727,c_42726,c_42724,c_42714,c_42704,c_42697,c_42689,c_42682,c_42674,c_42667,c_42666,c_42665,c_42664,c_42663,c_42661,c_42642,c_42636,c_42629,c_42623,c_42616,c_42610,c_42609,c_42608,c_42607,c_42606,c_42604,c_42594,c_42590,c_42580,c_42573,c_42565,c_42558,c_42550,c_42543,c_42542,c_42541,c_42540,c_42539,c_42537,c_42485,c_42482,c_42440,c_42438,c_42437,c_42436,c_42435,c_42434,c_42433,c_42432,c_42431,c_42430,c_42429,c_42428,c_42427,c_42426,c_42425,c_42424,c_42423,c_42422,c_42421,c_42420,c_42419,c_42358,c_42350,c_42342,c_42336,c_42330,c_42324,c_42318,c_42313,c_42308,c_42303,c_42299,c_42297,c_42295,c_42294,c_42293,c_42291,c_42287,c_42298,c_42296,c_42284,c_42283,c_42282,c_42234,c_42228,c_42221,c_42215,c_42208,c_42202,c_42201,c_42200,c_42199,c_42198,c_42196,c_42186,c_42176,c_42169,c_42161,c_42154,c_42146,c_42139,c_42138,c_42137,c_42136,c_42135,c_42133,c_42074,c_42068,c_42061,c_42055,c_42048,c_42042,c_42041,c_42040,c_42039,c_42038,c_42036,c_42026,c_42016,c_42009,c_42001,c_41994,c_41986,c_41979,c_41978,c_41977,c_41976,c_41975,c_41973,c_41916,c_41910,c_41903,c_41897,c_41890,c_41884,c_41883,c_41882,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM487+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.38 % Computer : n013.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Thu Sep 24 04:14:02 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/10.42 Running first-order theorem proving
% 0.16/10.42 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
% 0.16/10.43
% 0.16/10.43 % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.43
% 0.16/10.43 % Detected problem language: tptp
% 0.16/10.45 % Proving...
% 18.73/13.28 % SZS status Started for theBenchmark.p
% 18.73/13.28 % SZS status Theorem for theBenchmark.p
% 18.73/13.28
% 18.73/13.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.73/13.28
% 18.73/13.28 % ------ iProver source info
% 18.73/13.28
% 18.73/13.28 % git: date: 2026-07-19 20:42:38 +0200
% 18.73/13.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.73/13.28 % git: non_committed_changes: false
% 18.73/13.28
% 18.73/13.28 % ------ Parsing...
% 18.73/13.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.73/13.28
% 18.73/13.28 % ------ Preprocessing... sup_sim: 1 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 %
% 18.73/13.28
% 18.73/13.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 18.73/13.28
% 18.73/13.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.73/13.28 % ------ Proving...
% 18.73/13.28 % ------ Problem Properties
% 18.73/13.28
% 18.73/13.28 %
% 18.73/13.28 % clauses 93
% 18.73/13.28 % conjectures 2
% 18.73/13.28 % EPR 28
% 18.73/13.28 % Horn 59
% 18.73/13.28 % unary 20
% 18.73/13.28 % binary 12
% 18.73/13.28 % lits 342
% 18.73/13.28 % lits eq 99
% 18.73/13.28 % fd_pure 0
% 18.73/13.28 % fd_pseudo 0
% 18.73/13.28 % fd_cond 20
% 18.73/13.28 % fd_pseudo_cond 11
% 18.73/13.28 % AC symbols 0
% 18.73/13.28
% 18.73/13.28 % ------ Schedule dynamic 5 is on
% 18.73/13.28
% 18.73/13.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.73/13.28
% 18.73/13.28
% 18.73/13.28 % ------
% 18.73/13.28 % Current options:
% 18.73/13.28 % ------
% 18.73/13.28
% 18.73/13.28
% 18.73/13.28 %
% 18.73/13.28
% 18.73/13.28 % ------ Proving...
% 18.73/13.28 %
% 18.73/13.28
% 18.73/13.28 % SZS status Theorem for theBenchmark.p
% 18.73/13.28
% 18.73/13.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.08/13.46
% 19.08/13.46
%------------------------------------------------------------------------------