%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM510+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : 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 02:25:23 PM UTC 2026
% Result : Theorem 56.90s 8.90s
% Output : CNFRefutation 57.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 52
% Syntax : Number of formulae : 13099 ( 882 unt; 0 def)
% Number of atoms : 78559 (20548 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 103166 (37706 ~;65221 |; 170 &)
% ( 12 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 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 : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 13349 ( 0 sgn13333 !; 16 ?;12946 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X1 = sz00
& X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& X0 != sz00 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& X0 != sz00 )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,sdtpldt0(X1,X2))
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( X1 != sz00
& doDivides0(X0,X1) )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& X0 != sz00 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivAsso) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X1 = X0
| X1 = sz10 ) )
& X0 != sz10
& X0 != sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f38,axiom,
! [X0] :
( ( X0 != sz10
& X0 != sz00
& aNaturalNumber0(X0) )
=> ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X2,sdtasdt0(X0,X1))
& isPrime0(X2) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(X2,X1)
| doDivides0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f43,axiom,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
fof(f44,axiom,
( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f47,axiom,
( xk != sz10
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
fof(f48,axiom,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f49,axiom,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtlseqdt0(xr,xk) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(f50,axiom,
( sdtlseqdt0(xk,xp)
& xk != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2377) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(f53,conjecture,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& sdtsldt0(xn,xr) != xn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f54,negated_conjecture,
~ ( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& sdtsldt0(xn,xr) != xn ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(flattening,[],[f57]) ).
fof(f60,plain,
( ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| xn = sdtsldt0(xn,xr) ),
inference(ennf_transformation,[],[f54]) ).
fof(f61,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(f62,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f61]) ).
fof(f63,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(f64,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f63]) ).
fof(f65,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(f66,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,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f70,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(flattening,[],[f69]) ).
fof(f71,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(f72,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,[],[f71]) ).
fof(f73,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(f74,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,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f76,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(f77,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f79,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f81,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(flattening,[],[f86]) ).
fof(f88,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(f89,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,[],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f91,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f90]) ).
fof(f92,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(f93,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,[],[f92]) ).
fof(f94,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f95,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(f96,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f98,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f102,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f106,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
inference(flattening,[],[f105]) ).
fof(f107,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(f108,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( isPrime0(X0)
<=> ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f114,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f116,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f117,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f119,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(ennf_transformation,[],[f26]) ).
fof(f121,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| X0 = sz10
| X0 = sz00 ),
inference(flattening,[],[f120]) ).
fof(f122,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f123,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,[],[f68]) ).
fof(f124,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,[],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f124]) ).
fof(f126,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,[],[f85]) ).
fof(f127,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,[],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK1(X0,X1)) = X1
& aNaturalNumber0(sK1(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f127]) ).
fof(f129,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ( isPrime0(sK2(X0))
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f106]) ).
fof(f130,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,[],[f108]) ).
fof(f131,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,[],[f130]) ).
fof(f132,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,[],[f131]) ).
fof(f133,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X2] :
( ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 )
& X0 != sz10
& X0 != sz00 ) )
& ( ( doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0))
& sK3(X0) != X0
& sz10 != sK3(X0) )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f132]) ).
fof(f134,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ( sdtsldt0(X1,X0) != X2
| ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtsldt0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f119]) ).
fof(f135,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ( sdtsldt0(X1,X0) != X2
| ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtsldt0(X1,X0) ) ) ),
inference(flattening,[],[f134]) ).
fof(f136,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f137,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f138,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f140,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f141,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f142,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f143,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f43]) ).
fof(f144,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f145,plain,
xm != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f146,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f147,plain,
xn != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f148,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f151,plain,
sz10 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f152,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f153,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f154,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f155,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f156,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f49]) ).
fof(f157,plain,
sdtlseqdt0(xr,xk),
inference(cnf_transformation,[],[f49]) ).
fof(f158,plain,
sdtlseqdt0(xk,xp),
inference(cnf_transformation,[],[f50]) ).
fof(f159,plain,
xp != xk,
inference(cnf_transformation,[],[f50]) ).
fof(f161,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f162,plain,
( ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| xn = sdtsldt0(xn,xr) ),
inference(cnf_transformation,[],[f60]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f165,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,[],[f66]) ).
fof(f167,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,[],[f66]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f125]) ).
fof(f170,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sK0(X0,X1)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f172,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f70]) ).
fof(f173,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f70]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f72]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f72]) ).
fof(f176,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,[],[f74]) ).
fof(f177,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,[],[f74]) ).
fof(f178,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f75]) ).
fof(f179,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f75]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f181,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f182,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f183,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f184,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK1(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f185,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(sK1(X0,X1)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f187,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f188,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,[],[f89]) ).
fof(f190,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,[],[f89]) ).
fof(f192,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f91]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f93]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f93]) ).
fof(f195,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f196,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f94]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f198,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f199,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f200,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f202,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| isPrime0(sK2(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f203,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| doDivides0(sK2(X0),X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f204,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK2(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f205,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 ),
inference(cnf_transformation,[],[f133]) ).
fof(f206,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| sz10 != X0 ),
inference(cnf_transformation,[],[f133]) ).
fof(f207,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ isPrime0(X0)
| sz00 != X0 ),
inference(cnf_transformation,[],[f133]) ).
fof(f208,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| doDivides0(sK3(X0),X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f209,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK3(X0))
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f210,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sK3(X0) != X0
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f211,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz10 != sK3(X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f212,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f214,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f215,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f114]) ).
fof(f216,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| sdtasdt0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f135]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtsldt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f135]) ).
fof(f221,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f222,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f121]) ).
fof(f224,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f122]) ).
fof(f225,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f122]) ).
fof(f226,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f227,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f228,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f171]) ).
fof(f229,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f186]) ).
fof(f230,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f207]) ).
fof(f231,plain,
( ~ aNaturalNumber0(sz10)
| ~ isPrime0(sz10) ),
inference(equality_resolution,[],[f206]) ).
fof(f233,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f220]) ).
fof(f234,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f219]) ).
fof(f235,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f218]) ).
tcf(c_49,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f138]) ).
tcf(c_50,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f137]) ).
tcf(c_51,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f136]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ isPrime0(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,[],[f139]) ).
tcf(c_53,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f141]) ).
tcf(c_54,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f140]) ).
tcf(c_55,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f142]) ).
tcf(c_56,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f143]) ).
tcf(c_57,plain,
xn != xp,
inference(cnf_transformation,[],[f147]) ).
tcf(c_58,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f146]) ).
tcf(c_59,plain,
xm != xp,
inference(cnf_transformation,[],[f145]) ).
tcf(c_60,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f144]) ).
tcf(c_61,plain,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
inference(cnf_transformation,[],[f148]) ).
tcf(c_64,plain,
xk != sz00,
inference(cnf_transformation,[],[f152]) ).
tcf(c_65,plain,
xk != sz10,
inference(cnf_transformation,[],[f151]) ).
tcf(c_66,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f155]) ).
tcf(c_67,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f154]) ).
tcf(c_68,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f153]) ).
tcf(c_69,plain,
sdtlseqdt0(xr,xk),
inference(cnf_transformation,[],[f157]) ).
tcf(c_70,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f156]) ).
tcf(c_71,plain,
xp != xk,
inference(cnf_transformation,[],[f159]) ).
tcf(c_72,plain,
sdtlseqdt0(xk,xp),
inference(cnf_transformation,[],[f158]) ).
tcf(c_74,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f161]) ).
tcf(c_75,negated_conjecture,
( ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_76,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,[],[f163]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_79,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,[],[f167]) ).
tcf(c_81,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,[],[f165]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1) ) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X0)) = sdtasdt0(X1,sdtpldt0(X2,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(X2,X0),X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_91,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_92,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(X1,sdtpldt0(X2,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK1(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_102,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,[],[f190]) ).
tcf(c_104,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,[],[f188]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_106,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,[],[f194]) ).
tcf(c_107,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,[],[f193]) ).
tcf(c_108,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_109,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(X1,sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_114,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,[],[f201]) ).
tcf(c_115,plain,
! [X0: $i] :
( aNaturalNumber0(sK2(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_116,plain,
! [X0: $i] :
( doDivides0(sK2(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_117,plain,
! [X0: $i] :
( isPrime0(sK2(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_118,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sK3(X0) != sz10 ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_119,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sK3(X0) != X0 ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_120,plain,
! [X0: $i] :
( isPrime0(X0)
| aNaturalNumber0(sK3(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_121,plain,
! [X0: $i] :
( isPrime0(X0)
| doDivides0(sK3(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_122,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_123,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = X1 )
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_127,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,[],[f214]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_129,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ doDivides0(X0,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_134,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f221]) ).
tcf(c_135,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_136,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_137,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_138,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f227]) ).
tcf(c_139,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f226]) ).
tcf(c_140,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_144,plain,
( ( sdtpldt0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_161,plain,
( ( sz00 = sz00 )
| ~ aNaturalNumber0(sz00)
| ( sdtpldt0(sz00,sz00) != sz00 ) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_179,plain,
~ isPrime0(sz10),
inference(global_subsumption_just,[status(thm)],[c_123,c_138,c_123]) ).
tcf(c_181,plain,
~ isPrime0(sz00),
inference(global_subsumption_just,[status(thm)],[c_122,c_134,c_122]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_97,c_112,c_97]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_82,c_95,c_82]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_131,c_112,c_131,c_185]) ).
tcf(c_1631,plain,
xp != sz00,
inference(resolution_lifted,[status(thm)],[c_53,c_181]) ).
tcf(c_1635,plain,
xp != sz10,
inference(resolution_lifted,[status(thm)],[c_53,c_179]) ).
tcf(c_1657,plain,
sz00 != xr,
inference(resolution_lifted,[status(thm)],[c_68,c_181]) ).
tcf(c_1661,plain,
sz10 != xr,
inference(resolution_lifted,[status(thm)],[c_68,c_179]) ).
tcf(c_3457,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_3459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3460,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_4693,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_49,c_91]) ).
tcf(c_4694,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_50,c_91]) ).
tcf(c_4695,plain,
sdtpldt0(xp,sz00) = xp,
inference(superposition,[status(thm)],[c_51,c_91]) ).
tcf(c_4696,plain,
sdtpldt0(xr,sz00) = xr,
inference(superposition,[status(thm)],[c_66,c_91]) ).
tcf(c_4697,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_134,c_91]) ).
tcf(c_4698,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(superposition,[status(thm)],[c_138,c_91]) ).
tcf(c_4703,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_49,c_92]) ).
tcf(c_4704,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_92]) ).
tcf(c_4705,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_51,c_92]) ).
tcf(c_4706,plain,
sdtpldt0(sz00,xr) = xr,
inference(superposition,[status(thm)],[c_66,c_92]) ).
tcf(c_4708,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(superposition,[status(thm)],[c_138,c_92]) ).
tcf(c_4725,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sz00))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4697,c_52]) ).
tcf(c_4726,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sz00))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4693,c_52]) ).
tcf(c_4727,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sz00))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4694,c_52]) ).
tcf(c_4728,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sz00))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4695,c_52]) ).
tcf(c_4729,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,sz00))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4696,c_52]) ).
tcf(c_4730,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz10,sz00))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4698,c_52]) ).
tcf(c_4731,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xn))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4703,c_52]) ).
tcf(c_4732,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xm))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4704,c_52]) ).
tcf(c_4733,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xp))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4705,c_52]) ).
tcf(c_4734,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xr))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4706,c_52]) ).
tcf(c_4735,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_4708,c_52]) ).
tcf(c_4736,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sz00))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4725,c_134]) ).
tcf(c_4742,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,sz10))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4735,c_138,c_134]) ).
tcf(c_4749,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xr))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4734,c_66,c_134]) ).
tcf(c_4756,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xp))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4733,c_134,c_51]) ).
tcf(c_4763,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xm))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4732,c_134,c_50]) ).
tcf(c_4770,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz00,xn))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4731,c_134,c_49]) ).
tcf(c_4777,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sz10,sz00))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4730,c_138,c_134]) ).
tcf(c_4784,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,sz00))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4729,c_66,c_134]) ).
tcf(c_4791,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,sz00))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4728,c_134,c_51]) ).
tcf(c_4798,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sz00))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4727,c_134,c_50]) ).
tcf(c_4805,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sz00))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4726,c_134,c_49]) ).
tcf(c_4816,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_108]) ).
tcf(c_4817,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_108]) ).
tcf(c_4818,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_108]) ).
tcf(c_4819,plain,
sdtasdt0(xr,sz00) = sz00,
inference(superposition,[status(thm)],[c_66,c_108]) ).
tcf(c_4820,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_134,c_108]) ).
tcf(c_4821,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(superposition,[status(thm)],[c_138,c_108]) ).
tcf(c_4826,plain,
sdtasdt0(sz00,xn) = sz00,
inference(superposition,[status(thm)],[c_49,c_109]) ).
tcf(c_4827,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_50,c_109]) ).
tcf(c_4828,plain,
sdtasdt0(sz00,xp) = sz00,
inference(superposition,[status(thm)],[c_51,c_109]) ).
tcf(c_4829,plain,
sdtasdt0(sz00,xr) = sz00,
inference(superposition,[status(thm)],[c_66,c_109]) ).
tcf(c_4831,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(superposition,[status(thm)],[c_138,c_109]) ).
tcf(c_4836,plain,
sdtasdt0(xn,sz10) = xn,
inference(superposition,[status(thm)],[c_49,c_136]) ).
tcf(c_4837,plain,
sdtasdt0(xm,sz10) = xm,
inference(superposition,[status(thm)],[c_50,c_136]) ).
tcf(c_4838,plain,
sdtasdt0(xp,sz10) = xp,
inference(superposition,[status(thm)],[c_51,c_136]) ).
tcf(c_4839,plain,
sdtasdt0(xr,sz10) = xr,
inference(superposition,[status(thm)],[c_66,c_136]) ).
tcf(c_4841,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(superposition,[status(thm)],[c_138,c_136]) ).
tcf(c_4846,plain,
sdtasdt0(sz10,xn) = xn,
inference(superposition,[status(thm)],[c_49,c_137]) ).
tcf(c_4847,plain,
sdtasdt0(sz10,xm) = xm,
inference(superposition,[status(thm)],[c_50,c_137]) ).
tcf(c_4848,plain,
sdtasdt0(sz10,xp) = xp,
inference(superposition,[status(thm)],[c_51,c_137]) ).
tcf(c_4849,plain,
sdtasdt0(sz10,xr) = xr,
inference(superposition,[status(thm)],[c_66,c_137]) ).
tcf(c_4869,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_137]) ).
tcf(c_4870,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_136]) ).
tcf(c_4871,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_109]) ).
tcf(c_4872,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_108]) ).
tcf(c_4873,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_92]) ).
tcf(c_4874,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_91]) ).
tcf(c_4918,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_137]) ).
tcf(c_4919,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_136]) ).
tcf(c_4920,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_109]) ).
tcf(c_4921,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_108]) ).
tcf(c_4922,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_92]) ).
tcf(c_4923,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_91]) ).
tcf(c_4954,plain,
( doDivides0(sz10,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4821,c_185]) ).
tcf(c_4956,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4820,c_185]) ).
tcf(c_4957,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4816,c_185]) ).
tcf(c_4958,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4817,c_185]) ).
tcf(c_4959,plain,
( doDivides0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4818,c_185]) ).
tcf(c_4960,plain,
( doDivides0(xr,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4819,c_185]) ).
tcf(c_4965,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4836,c_185]) ).
tcf(c_4966,plain,
( doDivides0(xr,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4839,c_185]) ).
tcf(c_4967,plain,
doDivides0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4956,c_134]) ).
tcf(c_4968,plain,
doDivides0(xr,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_4966,c_66,c_138]) ).
tcf(c_4969,plain,
doDivides0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_4965,c_138,c_49]) ).
tcf(c_4970,plain,
doDivides0(xr,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4960,c_66,c_134]) ).
tcf(c_4971,plain,
doDivides0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4959,c_134,c_51]) ).
tcf(c_4972,plain,
doDivides0(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4958,c_134,c_50]) ).
tcf(c_4973,plain,
doDivides0(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4957,c_134,c_49]) ).
tcf(c_4974,plain,
doDivides0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4954,c_138,c_134]) ).
tcf(c_4981,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4697,c_188]) ).
tcf(c_4982,plain,
( sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4693,c_188]) ).
tcf(c_4983,plain,
( sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4694,c_188]) ).
tcf(c_4984,plain,
( sdtlseqdt0(xp,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4695,c_188]) ).
tcf(c_4985,plain,
( sdtlseqdt0(xr,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4696,c_188]) ).
tcf(c_4986,plain,
( sdtlseqdt0(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4698,c_188]) ).
tcf(c_4987,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4703,c_188]) ).
tcf(c_4988,plain,
( sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4704,c_188]) ).
tcf(c_4989,plain,
( sdtlseqdt0(sz00,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4705,c_188]) ).
tcf(c_4990,plain,
( sdtlseqdt0(sz00,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4706,c_188]) ).
tcf(c_4991,plain,
( sdtlseqdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4708,c_188]) ).
tcf(c_4992,plain,
sdtlseqdt0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4981,c_134]) ).
tcf(c_4993,plain,
sdtlseqdt0(sz00,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_4991,c_138,c_134]) ).
tcf(c_4994,plain,
sdtlseqdt0(sz00,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_4990,c_66,c_134]) ).
tcf(c_4995,plain,
sdtlseqdt0(sz00,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_4989,c_134,c_51]) ).
tcf(c_4996,plain,
sdtlseqdt0(sz00,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_4988,c_134,c_50]) ).
tcf(c_4997,plain,
sdtlseqdt0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_4987,c_134,c_49]) ).
tcf(c_4998,plain,
sdtlseqdt0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_4986,c_138,c_134]) ).
tcf(c_4999,plain,
sdtlseqdt0(xr,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_4985,c_66,c_134]) ).
tcf(c_5000,plain,
sdtlseqdt0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_4984,c_134,c_51]) ).
tcf(c_5001,plain,
sdtlseqdt0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_4983,c_134,c_50]) ).
tcf(c_5002,plain,
sdtlseqdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_4982,c_134,c_49]) ).
tcf(c_5003,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4846,c_185]) ).
tcf(c_5005,plain,
doDivides0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_5003,c_138,c_49]) ).
tcf(c_5019,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_75]) ).
tcf(c_5022,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5019,c_49]) ).
tcf(c_5034,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK0(X0,X1)) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_137]) ).
tcf(c_5035,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),sz10) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_136]) ).
tcf(c_5036,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_109]) ).
tcf(c_5037,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_108]) ).
tcf(c_5038,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK0(X0,X1)) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_92]) ).
tcf(c_5039,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),sz00) = sK0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_91]) ).
tcf(c_5079,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_94]) ).
tcf(c_5080,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_94]) ).
tcf(c_5081,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_94]) ).
tcf(c_5082,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xr) = sdtpldt0(xr,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_66,c_94]) ).
tcf(c_5083,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_95,c_94]) ).
tcf(c_5084,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK0(X0,X1),X2) = sdtpldt0(X2,sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_94]) ).
tcf(c_5085,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_112,c_94]) ).
tcf(c_5086,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_94]) ).
tcf(c_5087,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_94]) ).
tcf(c_5136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK1(X0,X1),X2) = sdtpldt0(X2,sK1(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_94]) ).
tcf(c_5137,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz10,sK1(X0,X1)) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_137]) ).
tcf(c_5138,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),sz10) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_136]) ).
tcf(c_5139,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK1(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_109]) ).
tcf(c_5140,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_108]) ).
tcf(c_5141,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK1(X0,X1)) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_92]) ).
tcf(c_5142,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),sz00) = sK1(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_91]) ).
tcf(c_5192,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4837,c_185]) ).
tcf(c_5194,plain,
doDivides0(xm,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_5192,c_138,c_50]) ).
tcf(c_5200,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sz10 != X0 )
| ( sz00 != X0 ) ),
inference(instantiation,[status(thm)],[c_3459]) ).
tcf(c_5201,plain,
( ( sz00 = sz10 )
| ( sz10 != sz00 )
| ( sz00 != sz00 ) ),
inference(instantiation,[status(thm)],[c_5200]) ).
tcf(c_5202,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4838,c_185]) ).
tcf(c_5204,plain,
doDivides0(xp,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_5202,c_138,c_51]) ).
tcf(c_5205,plain,
( doDivides0(sz10,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4849,c_185]) ).
tcf(c_5207,plain,
doDivides0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_5205,c_66,c_138]) ).
tcf(c_5214,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_111]) ).
tcf(c_5215,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_111]) ).
tcf(c_5216,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_111]) ).
tcf(c_5217,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xr) = sdtasdt0(xr,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_66,c_111]) ).
tcf(c_5218,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_95,c_111]) ).
tcf(c_5219,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK0(X0,X1),X2) = sdtasdt0(X2,sK0(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_111]) ).
tcf(c_5220,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_112,c_111]) ).
tcf(c_5221,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK1(X0,X1),X2) = sdtasdt0(X2,sK1(X0,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_111]) ).
tcf(c_5222,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_111]) ).
tcf(c_5223,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_111]) ).
tcf(c_5274,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),X1) = sdtasdt0(X1,sK2(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_111]) ).
tcf(c_5275,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),X1) = sdtpldt0(X1,sK2(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_94]) ).
tcf(c_5276,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK2(X0)) = sK2(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_137]) ).
tcf(c_5277,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),sz10) = sK2(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_136]) ).
tcf(c_5278,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK2(X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_109]) ).
tcf(c_5279,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_108]) ).
tcf(c_5280,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK2(X0)) = sK2(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_92]) ).
tcf(c_5281,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),sz00) = sK2(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_91]) ).
tcf(c_5342,plain,
( doDivides0(sz10,sz10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4841,c_185]) ).
tcf(c_5344,plain,
doDivides0(sz10,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_5342,c_138]) ).
tcf(c_5345,plain,
( doDivides0(sz10,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4847,c_185]) ).
tcf(c_5347,plain,
doDivides0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_5345,c_138,c_50]) ).
tcf(c_5348,plain,
( doDivides0(sz10,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4848,c_185]) ).
tcf(c_5350,plain,
doDivides0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_5348,c_138,c_51]) ).
tcf(c_5356,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_50,c_5079]) ).
tcf(c_5357,plain,
sdtpldt0(xn,xp) = sdtpldt0(xp,xn),
inference(superposition,[status(thm)],[c_51,c_5079]) ).
tcf(c_5358,plain,
sdtpldt0(xn,xr) = sdtpldt0(xr,xn),
inference(superposition,[status(thm)],[c_66,c_5079]) ).
tcf(c_5359,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_5079]) ).
tcf(c_5360,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xn) = sdtpldt0(xn,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_5079]) ).
tcf(c_5361,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xn) = sdtpldt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_5079]) ).
tcf(c_5362,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xn) = sdtpldt0(xn,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_5079]) ).
tcf(c_5363,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),xn) = sdtpldt0(xn,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_5079]) ).
tcf(c_5364,plain,
sdtpldt0(xn,sz00) = sdtpldt0(sz00,xn),
inference(superposition,[status(thm)],[c_134,c_5079]) ).
tcf(c_5365,plain,
sdtpldt0(xn,sz10) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_138,c_5079]) ).
tcf(c_5401,plain,
( sdtlseqdt0(xm,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5356,c_188]) ).
tcf(c_5402,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5356,c_95]) ).
tcf(c_5403,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5356,c_52]) ).
tcf(c_5404,plain,
aNaturalNumber0(sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_5402,c_50,c_49]) ).
tcf(c_5405,plain,
sdtlseqdt0(xm,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_5401,c_50,c_49]) ).
tcf(c_5406,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5403,c_50,c_49]) ).
tcf(c_5415,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,X1)
| ( xn != X1 )
| ( sdtsldt0(xn,xr) != X0 ) ),
inference(instantiation,[status(thm)],[c_3466]) ).
tcf(c_5416,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sz00,sz00)
| ( xn != sz00 )
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(instantiation,[status(thm)],[c_5415]) ).
tcf(c_5417,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xm),X0) = sdtasdt0(X0,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5404,c_111]) ).
tcf(c_5418,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xm),X0) = sdtpldt0(X0,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5404,c_94]) ).
tcf(c_5419,plain,
sdtpldt0(sdtpldt0(xn,xm),xn) = sdtpldt0(xn,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_5404,c_5079]) ).
tcf(c_5420,plain,
sdtasdt0(sz10,sdtpldt0(xn,xm)) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_5404,c_137]) ).
tcf(c_5421,plain,
sdtasdt0(sdtpldt0(xn,xm),sz10) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_5404,c_136]) ).
tcf(c_5422,plain,
sdtasdt0(sz00,sdtpldt0(xn,xm)) = sz00,
inference(superposition,[status(thm)],[c_5404,c_109]) ).
tcf(c_5423,plain,
sdtasdt0(sdtpldt0(xn,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_5404,c_108]) ).
tcf(c_5424,plain,
sdtpldt0(sz00,sdtpldt0(xn,xm)) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_5404,c_92]) ).
tcf(c_5425,plain,
sdtpldt0(sdtpldt0(xn,xm),sz00) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_5404,c_91]) ).
tcf(c_5444,plain,
( sdtlseqdt0(xp,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5357,c_188]) ).
tcf(c_5445,plain,
( aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5357,c_95]) ).
tcf(c_5446,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5357,c_52]) ).
tcf(c_5447,plain,
aNaturalNumber0(sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_5445,c_51,c_49]) ).
tcf(c_5448,plain,
sdtlseqdt0(xp,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_5444,c_51,c_49]) ).
tcf(c_5449,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5446,c_51,c_49]) ).
tcf(c_5480,plain,
( sdtlseqdt0(sz10,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4846,c_100]) ).
tcf(c_5481,plain,
( sdtlseqdt0(sz10,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4847,c_100]) ).
tcf(c_5482,plain,
( sdtlseqdt0(sz10,xp)
| ( xp = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4848,c_100]) ).
tcf(c_5483,plain,
( sdtlseqdt0(sz10,xr)
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4849,c_100]) ).
tcf(c_5484,plain,
( sdtlseqdt0(sz10,xr)
| ( sz00 = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5483,c_66,c_138]) ).
tcf(c_5487,plain,
( sdtlseqdt0(sz10,xp)
| ( xp = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5482,c_138,c_51]) ).
tcf(c_5490,plain,
( sdtlseqdt0(sz10,xm)
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5481,c_138,c_50]) ).
tcf(c_5493,plain,
( sdtlseqdt0(sz10,xn)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5480,c_138,c_49]) ).
tcf(c_5526,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),X1) = sdtasdt0(X1,sK3(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_111]) ).
tcf(c_5527,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),X1) = sdtpldt0(X1,sK3(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_94]) ).
tcf(c_5528,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),xn) = sdtpldt0(xn,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_5079]) ).
tcf(c_5529,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz10,sK3(X0)) = sK3(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_137]) ).
tcf(c_5530,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),sz10) = sK3(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_136]) ).
tcf(c_5531,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sz00,sK3(X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_109]) ).
tcf(c_5532,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_108]) ).
tcf(c_5533,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK3(X0)) = sK3(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_92]) ).
tcf(c_5534,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),sz00) = sK3(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_91]) ).
tcf(c_5582,plain,
! [X0: $i] :
( sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_5583,plain,
( sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(xp,sz00) ),
inference(instantiation,[status(thm)],[c_5582]) ).
tcf(c_5586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_5607,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_5356,c_85]) ).
tcf(c_5608,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_5357,c_85]) ).
tcf(c_5609,plain,
( ( xp = sz00 )
| ( sdtpldt0(xn,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5608,c_51,c_49]) ).
tcf(c_5612,plain,
( ( xm = sz00 )
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5607,c_50,c_49]) ).
tcf(c_5617,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xp),X0) = sdtasdt0(X0,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5447,c_111]) ).
tcf(c_5618,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xp),X0) = sdtpldt0(X0,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5447,c_94]) ).
tcf(c_5619,plain,
sdtpldt0(sdtpldt0(xn,xp),xn) = sdtpldt0(xn,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_5447,c_5079]) ).
tcf(c_5620,plain,
sdtasdt0(sz10,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_5447,c_137]) ).
tcf(c_5621,plain,
sdtasdt0(sdtpldt0(xn,xp),sz10) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_5447,c_136]) ).
tcf(c_5622,plain,
sdtasdt0(sz00,sdtpldt0(xn,xp)) = sz00,
inference(superposition,[status(thm)],[c_5447,c_109]) ).
tcf(c_5623,plain,
sdtasdt0(sdtpldt0(xn,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_5447,c_108]) ).
tcf(c_5624,plain,
sdtpldt0(sz00,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_5447,c_92]) ).
tcf(c_5625,plain,
sdtpldt0(sdtpldt0(xn,xp),sz00) = sdtpldt0(xn,xp),
inference(superposition,[status(thm)],[c_5447,c_91]) ).
tcf(c_5646,plain,
sdtlseqdt0(sz10,xr),
inference(global_subsumption_just,[status(thm)],[c_5484,c_1657,c_5484]) ).
tcf(c_5648,plain,
sdtlseqdt0(sz10,xp),
inference(global_subsumption_just,[status(thm)],[c_5487,c_1631,c_5487]) ).
tcf(c_5658,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_5358,c_85]) ).
tcf(c_5659,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5358,c_188]) ).
tcf(c_5660,plain,
( aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5358,c_95]) ).
tcf(c_5661,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5358,c_52]) ).
tcf(c_5662,plain,
aNaturalNumber0(sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_5660,c_66,c_49]) ).
tcf(c_5663,plain,
sdtlseqdt0(xr,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_5659,c_66,c_49]) ).
tcf(c_5664,plain,
( ( sz00 = xr )
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5658,c_66,c_49]) ).
tcf(c_5667,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5661,c_66,c_49]) ).
tcf(c_5686,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xr),X0) = sdtasdt0(X0,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5662,c_111]) ).
tcf(c_5687,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xr),X0) = sdtpldt0(X0,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5662,c_94]) ).
tcf(c_5688,plain,
sdtpldt0(sdtpldt0(xn,xr),xn) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_5662,c_5079]) ).
tcf(c_5689,plain,
sdtasdt0(sz10,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_5662,c_137]) ).
tcf(c_5690,plain,
sdtasdt0(sdtpldt0(xn,xr),sz10) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_5662,c_136]) ).
tcf(c_5691,plain,
sdtasdt0(sz00,sdtpldt0(xn,xr)) = sz00,
inference(superposition,[status(thm)],[c_5662,c_109]) ).
tcf(c_5692,plain,
sdtasdt0(sdtpldt0(xn,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_5662,c_108]) ).
tcf(c_5693,plain,
sdtpldt0(sz00,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_5662,c_92]) ).
tcf(c_5694,plain,
sdtpldt0(sdtpldt0(xn,xr),sz00) = sdtpldt0(xn,xr),
inference(superposition,[status(thm)],[c_5662,c_91]) ).
tcf(c_5703,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(sz10,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_5365,c_85]) ).
tcf(c_5704,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5365,c_188]) ).
tcf(c_5705,plain,
( aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5365,c_95]) ).
tcf(c_5706,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5365,c_52]) ).
tcf(c_5707,plain,
aNaturalNumber0(sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_5705,c_138,c_49]) ).
tcf(c_5708,plain,
sdtlseqdt0(xn,sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_5704,c_138,c_49]) ).
tcf(c_5709,plain,
( ( xn = sz00 )
| ( sdtpldt0(sz10,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5703,c_138,c_49]) ).
tcf(c_5715,plain,
! [X0: $i] :
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ( sdtsldt0(xn,xr) != X0 ) ),
inference(instantiation,[status(thm)],[c_3460]) ).
tcf(c_5716,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(instantiation,[status(thm)],[c_5715]) ).
tcf(c_5717,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xn),X0) = sdtasdt0(X0,sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5707,c_111]) ).
tcf(c_5718,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xn),X0) = sdtpldt0(X0,sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5707,c_94]) ).
tcf(c_5719,plain,
sdtpldt0(sdtpldt0(sz10,xn),xn) = sdtpldt0(xn,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5707,c_5079]) ).
tcf(c_5720,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xn)) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_5707,c_137]) ).
tcf(c_5721,plain,
sdtasdt0(sdtpldt0(sz10,xn),sz10) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_5707,c_136]) ).
tcf(c_5722,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xn)) = sz00,
inference(superposition,[status(thm)],[c_5707,c_109]) ).
tcf(c_5723,plain,
sdtasdt0(sdtpldt0(sz10,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_5707,c_108]) ).
tcf(c_5724,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xn)) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_5707,c_92]) ).
tcf(c_5725,plain,
sdtpldt0(sdtpldt0(sz10,xn),sz00) = sdtpldt0(sz10,xn),
inference(superposition,[status(thm)],[c_5707,c_91]) ).
tcf(c_5737,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_5772,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn != X0 )
| ( sdtsldt0(xn,xr) != sdtsldt0(xn,xr) ) ),
inference(instantiation,[status(thm)],[c_5415]) ).
tcf(c_5773,plain,
sdtsldt0(xn,xr) = sdtsldt0(xn,xr),
inference(instantiation,[status(thm)],[c_3457]) ).
tcf(c_5779,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5419,c_85]) ).
tcf(c_5780,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5419,c_188]) ).
tcf(c_5781,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5419,c_95]) ).
tcf(c_5782,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xm),xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5419,c_52]) ).
tcf(c_5784,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_5781,c_49,c_5404]) ).
tcf(c_5785,plain,
sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_5780,c_49,c_5404]) ).
tcf(c_5786,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5779,c_49,c_5404]) ).
tcf(c_5789,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xm),xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5782,c_49,c_5404]) ).
tcf(c_5815,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_5356,c_86]) ).
tcf(c_5816,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_5357,c_86]) ).
tcf(c_5817,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_5358,c_86]) ).
tcf(c_5818,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ( sdtpldt0(sz10,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_5365,c_86]) ).
tcf(c_5819,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5419,c_86]) ).
tcf(c_5820,plain,
sdtpldt0(sz10,xn) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_5818,c_139,c_138,c_49]) ).
tcf(c_5821,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5817,c_66,c_49]) ).
tcf(c_5824,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5816,c_51,c_49]) ).
tcf(c_5827,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5815,c_50,c_49]) ).
tcf(c_5830,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5819,c_49,c_5404]) ).
tcf(c_5843,plain,
( iLess0(xn,xp)
| ( xn = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_58,c_96]) ).
tcf(c_5844,plain,
( iLess0(xm,xp)
| ( xm = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_60,c_96]) ).
tcf(c_5845,plain,
( iLess0(xr,xk)
| ( xk = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_69,c_96]) ).
tcf(c_5846,plain,
( iLess0(xk,xp)
| ( xp = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_72,c_96]) ).
tcf(c_5847,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_96]) ).
tcf(c_5848,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_188,c_96]) ).
tcf(c_5849,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_100,c_96]) ).
tcf(c_5851,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| iLess0(X1,X0)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_96]) ).
tcf(c_5852,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_135,c_96]) ).
tcf(c_5859,plain,
( iLess0(sz00,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4997,c_96]) ).
tcf(c_5860,plain,
( iLess0(sz00,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4996,c_96]) ).
tcf(c_5861,plain,
( iLess0(sz00,xp)
| ( xp = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4995,c_96]) ).
tcf(c_5862,plain,
( iLess0(sz00,xr)
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4994,c_96]) ).
tcf(c_5863,plain,
( iLess0(sz00,sz10)
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4993,c_96]) ).
tcf(c_5864,plain,
( iLess0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5022,c_96]) ).
tcf(c_5865,plain,
( iLess0(xm,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5405,c_96]) ).
tcf(c_5866,plain,
( iLess0(xp,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5448,c_96]) ).
tcf(c_5867,plain,
( iLess0(sz10,xn)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5493,c_96]) ).
tcf(c_5868,plain,
( iLess0(sz10,xm)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_5490,c_96]) ).
tcf(c_5869,plain,
( iLess0(sz10,xp)
| ( xp = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_5648,c_96]) ).
tcf(c_5870,plain,
( iLess0(sz10,xr)
| ( sz10 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5646,c_96]) ).
tcf(c_5871,plain,
( iLess0(xr,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5663,c_96]) ).
tcf(c_5872,plain,
( iLess0(xn,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5708,c_96]) ).
tcf(c_5873,plain,
( iLess0(sz10,xr)
| ( sz10 = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5870,c_66,c_138]) ).
tcf(c_5876,plain,
( iLess0(sz10,xp)
| ( xp = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5869,c_138,c_51]) ).
tcf(c_5879,plain,
iLess0(sz00,sz10),
inference(forward_subsumption_resolution,[status(thm)],[c_5863,c_139,c_138,c_134]) ).
tcf(c_5880,plain,
( iLess0(sz00,xr)
| ( sz00 = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5862,c_66,c_134]) ).
tcf(c_5883,plain,
( iLess0(sz00,xp)
| ( xp = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5861,c_134,c_51]) ).
tcf(c_5886,plain,
( iLess0(sz00,xm)
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5860,c_134,c_50]) ).
tcf(c_5889,plain,
( iLess0(sz00,xn)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5859,c_134,c_49]) ).
tcf(c_5892,plain,
( iLess0(xk,xp)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5846,c_71,c_51]) ).
tcf(c_5895,plain,
( iLess0(xr,xk)
| ( xk = xr )
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5845,c_66]) ).
tcf(c_5899,plain,
iLess0(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_5844,c_59,c_51,c_50]) ).
tcf(c_5900,plain,
iLess0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_5843,c_57,c_51,c_49]) ).
tcf(c_5911,plain,
( iLess0(sz10,xm)
| ( xm = sz10 )
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5868,c_138,c_50]) ).
tcf(c_5915,plain,
( iLess0(sz10,xn)
| ( xn = sz10 )
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5867,c_138,c_49]) ).
tcf(c_5919,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5852,c_138]) ).
tcf(c_5924,plain,
( iLess0(xn,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5872,c_49,c_5707]) ).
tcf(c_5927,plain,
( iLess0(xr,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5871,c_66,c_5662]) ).
tcf(c_5930,plain,
( iLess0(xp,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5866,c_51,c_5447]) ).
tcf(c_5933,plain,
( iLess0(xm,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5865,c_50,c_5404]) ).
tcf(c_5936,plain,
( iLess0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5864,c_49]) ).
tcf(c_5961,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_54,c_113]) ).
tcf(c_5963,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_70,c_113]) ).
tcf(c_5964,plain,
( sdtlseqdt0(xr,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_74,c_113]) ).
tcf(c_5965,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_185,c_113]) ).
tcf(c_5966,plain,
! [X0: $i] :
( sdtlseqdt0(sK2(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(superposition,[status(thm)],[c_116,c_113]) ).
tcf(c_5982,plain,
( sdtlseqdt0(xr,xn)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5964,c_66,c_49]) ).
tcf(c_5990,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5963,c_66]) ).
tcf(c_5994,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5961,c_51]) ).
tcf(c_6014,plain,
! [X0: $i] :
( isPrime0(X0)
| sdtlseqdt0(sK3(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0)) ),
inference(superposition,[status(thm)],[c_121,c_113]) ).
tcf(c_6024,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5784,c_111]) ).
tcf(c_6025,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5784,c_94]) ).
tcf(c_6026,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(superposition,[status(thm)],[c_5784,c_5079]) ).
tcf(c_6027,plain,
sdtasdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm))) = sdtpldt0(xn,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_5784,c_137]) ).
tcf(c_6028,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz10) = sdtpldt0(xn,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_5784,c_136]) ).
tcf(c_6029,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_5784,c_109]) ).
tcf(c_6030,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5784,c_108]) ).
tcf(c_6031,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm))) = sdtpldt0(xn,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_5784,c_92]) ).
tcf(c_6032,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz00) = sdtpldt0(xn,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_5784,c_91]) ).
tcf(c_6051,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_6056,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,sz00)
| ~ sdtlseqdt0(sz00,xr) ),
inference(instantiation,[status(thm)],[c_6051]) ).
tcf(c_6065,plain,
! [X0: $i,X1: $i] :
( ( X0 = xr )
| ( xr != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_3459]) ).
tcf(c_6066,plain,
( ( sz00 = xr )
| ( xr != sz00 )
| ( sz00 != sz00 ) ),
inference(instantiation,[status(thm)],[c_6065]) ).
tcf(c_6090,plain,
iLess0(sz10,xr),
inference(global_subsumption_just,[status(thm)],[c_5873,c_1661,c_5873]) ).
tcf(c_6092,plain,
iLess0(sz10,xp),
inference(global_subsumption_just,[status(thm)],[c_5876,c_1635,c_5876]) ).
tcf(c_6094,plain,
iLess0(sz00,xr),
inference(global_subsumption_just,[status(thm)],[c_5880,c_1657,c_5880]) ).
tcf(c_6096,plain,
iLess0(sz00,xp),
inference(global_subsumption_just,[status(thm)],[c_5883,c_1631,c_5883]) ).
tcf(c_6102,plain,
( doDivides0(sz10,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5420,c_185]) ).
tcf(c_6104,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5420,c_100]) ).
tcf(c_6105,plain,
doDivides0(sz10,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_6102,c_138,c_5404]) ).
tcf(c_6106,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6104,c_138,c_5404]) ).
tcf(c_6117,plain,
( ( sdtpldt0(xn,sK0(xn,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_58,c_84]) ).
tcf(c_6118,plain,
( ( sdtpldt0(xm,sK0(xm,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_60,c_84]) ).
tcf(c_6119,plain,
( ( sdtpldt0(xr,sK0(xr,xk)) = xk )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_69,c_84]) ).
tcf(c_6120,plain,
( ( sdtpldt0(xk,sK0(xk,xp)) = xp )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_72,c_84]) ).
tcf(c_6121,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_84]) ).
tcf(c_6122,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_188,c_84]) ).
tcf(c_6123,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_84]) ).
tcf(c_6124,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_84]) ).
tcf(c_6125,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_84]) ).
tcf(c_6126,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_135,c_84]) ).
tcf(c_6127,plain,
( ( sdtpldt0(sz00,sK0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4992,c_84]) ).
tcf(c_6128,plain,
( ( sdtpldt0(xn,sK0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5002,c_84]) ).
tcf(c_6129,plain,
( ( sdtpldt0(xm,sK0(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_5001,c_84]) ).
tcf(c_6130,plain,
( ( sdtpldt0(xp,sK0(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_5000,c_84]) ).
tcf(c_6131,plain,
( ( sdtpldt0(xr,sK0(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_4999,c_84]) ).
tcf(c_6132,plain,
( ( sdtpldt0(sz10,sK0(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4998,c_84]) ).
tcf(c_6133,plain,
( ( sdtpldt0(sz00,sK0(sz00,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4997,c_84]) ).
tcf(c_6134,plain,
( ( sdtpldt0(sz00,sK0(sz00,xm)) = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4996,c_84]) ).
tcf(c_6135,plain,
( ( sdtpldt0(sz00,sK0(sz00,xp)) = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4995,c_84]) ).
tcf(c_6136,plain,
( ( sdtpldt0(sz00,sK0(sz00,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4994,c_84]) ).
tcf(c_6137,plain,
( ( sdtpldt0(sz00,sK0(sz00,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4993,c_84]) ).
tcf(c_6138,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5022,c_84]) ).
tcf(c_6139,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5405,c_84]) ).
tcf(c_6140,plain,
( ( sdtpldt0(xp,sK0(xp,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5448,c_84]) ).
tcf(c_6141,plain,
( ( xn = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5493,c_84]) ).
tcf(c_6142,plain,
( ( xm = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,xm)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_5490,c_84]) ).
tcf(c_6143,plain,
( ( sdtpldt0(sz10,sK0(sz10,xp)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_5648,c_84]) ).
tcf(c_6144,plain,
( ( sdtpldt0(sz10,sK0(sz10,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5646,c_84]) ).
tcf(c_6145,plain,
( ( sdtpldt0(xr,sK0(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5663,c_84]) ).
tcf(c_6146,plain,
( ( sdtpldt0(xn,sK0(xn,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5708,c_84]) ).
tcf(c_6147,plain,
sdtpldt0(sz10,sK0(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_6132,c_138]) ).
tcf(c_6148,plain,
sdtpldt0(xr,sK0(xr,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6131,c_66]) ).
tcf(c_6149,plain,
sdtpldt0(xp,sK0(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6130,c_51]) ).
tcf(c_6150,plain,
sdtpldt0(xm,sK0(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_6129,c_50]) ).
tcf(c_6151,plain,
sdtpldt0(xn,sK0(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6128,c_49]) ).
tcf(c_6152,plain,
sdtpldt0(sz00,sK0(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6127,c_134]) ).
tcf(c_6155,plain,
sdtpldt0(sz10,sK0(sz10,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6144,c_66,c_138]) ).
tcf(c_6156,plain,
sdtpldt0(sz10,sK0(sz10,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6143,c_138,c_51]) ).
tcf(c_6157,plain,
sdtpldt0(sz00,sK0(sz00,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_6137,c_138,c_134]) ).
tcf(c_6158,plain,
sdtpldt0(sz00,sK0(sz00,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6136,c_66,c_134]) ).
tcf(c_6159,plain,
sdtpldt0(sz00,sK0(sz00,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6135,c_134,c_51]) ).
tcf(c_6160,plain,
sdtpldt0(sz00,sK0(sz00,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_6134,c_134,c_50]) ).
tcf(c_6161,plain,
sdtpldt0(sz00,sK0(sz00,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6133,c_134,c_49]) ).
tcf(c_6162,plain,
( ( sdtpldt0(xk,sK0(xk,xp)) = xp )
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6120,c_51]) ).
tcf(c_6165,plain,
( ( sdtpldt0(xr,sK0(xr,xk)) = xk )
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6119,c_66]) ).
tcf(c_6168,plain,
sdtpldt0(xm,sK0(xm,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6118,c_51,c_50]) ).
tcf(c_6169,plain,
sdtpldt0(xn,sK0(xn,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6117,c_51,c_49]) ).
tcf(c_6178,plain,
( ( xm = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6142,c_138,c_50]) ).
tcf(c_6181,plain,
( ( xn = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6141,c_138,c_49]) ).
tcf(c_6184,plain,
sdtpldt0(xn,sK0(xn,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_6146,c_49,c_5707]) ).
tcf(c_6185,plain,
sdtpldt0(xr,sK0(xr,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_6145,c_66,c_5662]) ).
tcf(c_6186,plain,
sdtpldt0(xp,sK0(xp,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_6140,c_51,c_5447]) ).
tcf(c_6187,plain,
sdtpldt0(xm,sK0(xm,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_6139,c_50,c_5404]) ).
tcf(c_6188,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6126,c_138]) ).
tcf(c_6197,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6138,c_49]) ).
tcf(c_6217,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_49,c_91]) ).
tcf(c_6261,plain,
( ( sdtasdt0(xp,sK1(xp,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_54,c_99]) ).
tcf(c_6262,plain,
( ( sdtasdt0(xr,sK1(xr,xk)) = xk )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_67,c_99]) ).
tcf(c_6263,plain,
( ( sdtasdt0(xr,sK1(xr,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_70,c_99]) ).
tcf(c_6264,plain,
( ( sdtasdt0(xr,sK1(xr,xn)) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_74,c_99]) ).
tcf(c_6265,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK1(X0,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_185,c_99]) ).
tcf(c_6266,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),sK1(sK2(X0),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(superposition,[status(thm)],[c_116,c_99]) ).
tcf(c_6267,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),sK1(sK3(X0),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0)) ),
inference(superposition,[status(thm)],[c_121,c_99]) ).
tcf(c_6268,plain,
( ( sdtasdt0(sz00,sK1(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4967,c_99]) ).
tcf(c_6269,plain,
( ( sdtasdt0(xp,sK1(xp,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4971,c_99]) ).
tcf(c_6270,plain,
( ( sdtasdt0(xr,sK1(xr,sz00)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4970,c_99]) ).
tcf(c_6271,plain,
( ( sdtasdt0(sz10,sK1(sz10,sz00)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4974,c_99]) ).
tcf(c_6272,plain,
( ( sdtasdt0(xn,sK1(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4973,c_99]) ).
tcf(c_6273,plain,
( ( sdtasdt0(xm,sK1(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4972,c_99]) ).
tcf(c_6274,plain,
( ( sdtasdt0(xn,sK1(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4969,c_99]) ).
tcf(c_6275,plain,
( ( sdtasdt0(xr,sK1(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_4968,c_99]) ).
tcf(c_6276,plain,
( ( sdtasdt0(sz10,sK1(sz10,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5005,c_99]) ).
tcf(c_6277,plain,
( ( sdtasdt0(xm,sK1(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_5194,c_99]) ).
tcf(c_6278,plain,
( ( sdtasdt0(xp,sK1(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_5204,c_99]) ).
tcf(c_6279,plain,
( ( sdtasdt0(sz10,sK1(sz10,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5207,c_99]) ).
tcf(c_6280,plain,
( ( sdtasdt0(sz10,sK1(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5344,c_99]) ).
tcf(c_6281,plain,
( ( sdtasdt0(sz10,sK1(sz10,xm)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_5347,c_99]) ).
tcf(c_6282,plain,
( ( sdtasdt0(sz10,sK1(sz10,xp)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_5350,c_99]) ).
tcf(c_6283,plain,
sdtasdt0(sz10,sK1(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_6280,c_138]) ).
tcf(c_6284,plain,
sdtasdt0(xp,sK1(xp,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6278,c_51]) ).
tcf(c_6285,plain,
sdtasdt0(xm,sK1(xm,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_6277,c_50]) ).
tcf(c_6286,plain,
sdtasdt0(xr,sK1(xr,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6275,c_66]) ).
tcf(c_6287,plain,
sdtasdt0(xn,sK1(xn,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6274,c_49]) ).
tcf(c_6288,plain,
sdtasdt0(sz00,sK1(sz00,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6268,c_134]) ).
tcf(c_6289,plain,
sdtasdt0(sz10,sK1(sz10,xp)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_6282,c_138,c_51]) ).
tcf(c_6290,plain,
sdtasdt0(sz10,sK1(sz10,xm)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_6281,c_138,c_50]) ).
tcf(c_6291,plain,
sdtasdt0(sz10,sK1(sz10,xr)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_6279,c_66,c_138]) ).
tcf(c_6292,plain,
sdtasdt0(sz10,sK1(sz10,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6276,c_138,c_49]) ).
tcf(c_6293,plain,
sdtasdt0(xm,sK1(xm,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6273,c_134,c_50]) ).
tcf(c_6294,plain,
sdtasdt0(xn,sK1(xn,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6272,c_134,c_49]) ).
tcf(c_6295,plain,
sdtasdt0(sz10,sK1(sz10,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6271,c_138,c_134]) ).
tcf(c_6296,plain,
sdtasdt0(xr,sK1(xr,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6270,c_66,c_134]) ).
tcf(c_6297,plain,
sdtasdt0(xp,sK1(xp,sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_6269,c_134,c_51]) ).
tcf(c_6298,plain,
sdtasdt0(xr,sK1(xr,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_6264,c_66,c_49]) ).
tcf(c_6299,plain,
( ( sdtasdt0(xr,sK1(xr,xk)) = xk )
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6262,c_66]) ).
tcf(c_6302,plain,
( ( sdtasdt0(xr,sK1(xr,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6263,c_66]) ).
tcf(c_6305,plain,
( ( sdtasdt0(xp,sK1(xp,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6261,c_51]) ).
tcf(c_6328,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_49,c_92]) ).
tcf(c_6449,plain,
( ( xk = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xr) ),
inference(superposition,[status(thm)],[c_69,c_128]) ).
tcf(c_6450,plain,
( ( xp = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,xk) ),
inference(superposition,[status(thm)],[c_72,c_128]) ).
tcf(c_6452,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_188,c_128]) ).
tcf(c_6453,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_100,c_128]) ).
tcf(c_6456,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_135,c_128]) ).
tcf(c_6463,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz00) ),
inference(superposition,[status(thm)],[c_4997,c_128]) ).
tcf(c_6464,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz00) ),
inference(superposition,[status(thm)],[c_4996,c_128]) ).
tcf(c_6465,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz00) ),
inference(superposition,[status(thm)],[c_4995,c_128]) ).
tcf(c_6466,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,sz00) ),
inference(superposition,[status(thm)],[c_4994,c_128]) ).
tcf(c_6467,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz10,sz00) ),
inference(superposition,[status(thm)],[c_4993,c_128]) ).
tcf(c_6468,plain,
( ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5022,c_128]) ).
tcf(c_6469,plain,
( ( sdtpldt0(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xm) ),
inference(superposition,[status(thm)],[c_5405,c_128]) ).
tcf(c_6470,plain,
( ( sdtpldt0(xn,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xp) ),
inference(superposition,[status(thm)],[c_5448,c_128]) ).
tcf(c_6471,plain,
( ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,sz10) ),
inference(superposition,[status(thm)],[c_5493,c_128]) ).
tcf(c_6472,plain,
( ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,sz10) ),
inference(superposition,[status(thm)],[c_5490,c_128]) ).
tcf(c_6473,plain,
( ( xp = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,sz10) ),
inference(superposition,[status(thm)],[c_5648,c_128]) ).
tcf(c_6474,plain,
( ( sz10 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,sz10) ),
inference(superposition,[status(thm)],[c_5646,c_128]) ).
tcf(c_6475,plain,
( ( sdtpldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_5663,c_128]) ).
tcf(c_6476,plain,
( ( sdtpldt0(sz10,xn) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5708,c_128]) ).
tcf(c_6477,plain,
( ( sz10 = xr )
| ~ sdtlseqdt0(xr,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6474,c_66,c_138]) ).
tcf(c_6480,plain,
( ( xp = sz10 )
| ~ sdtlseqdt0(xp,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6473,c_138,c_51]) ).
tcf(c_6483,plain,
~ sdtlseqdt0(sz10,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_6467,c_139,c_138,c_134]) ).
tcf(c_6484,plain,
( ( sz00 = xr )
| ~ sdtlseqdt0(xr,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6466,c_66,c_134]) ).
tcf(c_6487,plain,
( ( xp = sz00 )
| ~ sdtlseqdt0(xp,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6465,c_134,c_51]) ).
tcf(c_6490,plain,
( ( xm = sz00 )
| ~ sdtlseqdt0(xm,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6464,c_134,c_50]) ).
tcf(c_6493,plain,
( ( xn = sz00 )
| ~ sdtlseqdt0(xn,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6463,c_134,c_49]) ).
tcf(c_6496,plain,
( ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xp,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6450,c_71,c_51]) ).
tcf(c_6499,plain,
( ( xk = xr )
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6449,c_66]) ).
tcf(c_6503,plain,
( ( xm = sz10 )
| ( xm = sz00 )
| ~ sdtlseqdt0(xm,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6472,c_138,c_50]) ).
tcf(c_6507,plain,
( ( xn = sz10 )
| ( xn = sz00 )
| ~ sdtlseqdt0(xn,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6471,c_138,c_49]) ).
tcf(c_6511,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6456,c_138]) ).
tcf(c_6516,plain,
( ( sdtpldt0(sz10,xn) = xn )
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6476,c_49,c_5707]) ).
tcf(c_6519,plain,
( ( sdtpldt0(xn,xr) = xr )
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6475,c_66,c_5662]) ).
tcf(c_6522,plain,
( ( sdtpldt0(xn,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6470,c_51,c_5447]) ).
tcf(c_6525,plain,
( ( sdtpldt0(xn,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6469,c_50,c_5404]) ).
tcf(c_6528,plain,
( ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6468,c_49]) ).
tcf(c_6577,plain,
( aNaturalNumber0(xk)
| ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_61,c_132]) ).
tcf(c_6578,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),X2) = sdtasdt0(X2,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_111]) ).
tcf(c_6579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),X2) = sdtpldt0(X2,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_94]) ).
tcf(c_6580,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xn) = sdtpldt0(xn,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_5079]) ).
tcf(c_6581,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz10,sdtsldt0(X1,X0)) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_137]) ).
tcf(c_6582,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sz10) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_136]) ).
tcf(c_6583,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtsldt0(X1,X0)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_109]) ).
tcf(c_6584,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_108]) ).
tcf(c_6585,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(X1,X0)) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_92]) ).
tcf(c_6586,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sz00) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_91]) ).
tcf(c_6587,plain,
( aNaturalNumber0(xk)
| ( xp = sz00 )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6577,c_51,c_54]) ).
tcf(c_6653,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(X0,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,X0) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_6671,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ doDivides0(xp,sz00) ),
inference(instantiation,[status(thm)],[c_6653]) ).
tcf(c_6680,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_6105,c_99]) ).
tcf(c_6682,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_6680,c_138,c_5404]) ).
tcf(c_6691,plain,
( ( xn = xr )
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xr) ),
inference(superposition,[status(thm)],[c_5982,c_128]) ).
tcf(c_6692,plain,
( ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,xn)) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5982,c_84]) ).
tcf(c_6693,plain,
( iLess0(xr,xn)
| ( xn = xr )
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5982,c_96]) ).
tcf(c_6694,plain,
( iLess0(xr,xn)
| ( xn = xr )
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6693,c_66,c_49]) ).
tcf(c_6698,plain,
( ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,xn)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6692,c_66,c_49]) ).
tcf(c_6701,plain,
( ( xn = xr )
| ( xn = sz00 )
| ~ sdtlseqdt0(xn,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6691,c_66,c_49]) ).
tcf(c_6713,plain,
( ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xr,xn) ),
inference(superposition,[status(thm)],[c_132,c_6197]) ).
tcf(c_6714,plain,
( ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6713,c_66,c_49,c_74]) ).
tcf(c_6718,plain,
( ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_6714,c_1657,c_6714]) ).
tcf(c_6719,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(renaming,[status(thm)],[c_6718]) ).
tcf(c_6724,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_6719,c_86]) ).
tcf(c_6725,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_6719,c_85]) ).
tcf(c_6726,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6719,c_188]) ).
tcf(c_6727,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6719,c_95]) ).
tcf(c_6728,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sdtasdt0(xn,sK0(xn,sdtsldt0(xn,xr))))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6719,c_52]) ).
tcf(c_6729,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6727,c_49]) ).
tcf(c_6733,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6726,c_49]) ).
tcf(c_6737,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6725,c_49]) ).
tcf(c_6742,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6724,c_49]) ).
tcf(c_6747,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sdtasdt0(xn,sK0(xn,sdtsldt0(xn,xr))))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6728,c_49]) ).
tcf(c_6770,plain,
( ( sdtsldt0(xn,xr) != sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_6737,c_134,c_140,c_75,c_5416,c_6737]) ).
tcf(c_6771,plain,
( ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(renaming,[status(thm)],[c_6770]) ).
tcf(c_6796,plain,
( doDivides0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5421,c_185]) ).
tcf(c_6798,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5421,c_100]) ).
tcf(c_6799,plain,
doDivides0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_6796,c_138,c_5404]) ).
tcf(c_6800,plain,
sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_6798,c_139,c_138,c_5404]) ).
tcf(c_6809,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,xn),X0) = xn )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_195]) ).
tcf(c_6810,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,xm),X0) = xm )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_195]) ).
tcf(c_6811,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,xp),X0) = xp )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_195]) ).
tcf(c_6812,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,xr),X0) = xr )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_66,c_195]) ).
tcf(c_6813,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtsldt0(sdtasdt0(X2,sdtpldt0(X0,X1)),X2) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_195]) ).
tcf(c_6814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtsldt0(sdtasdt0(X2,sK0(X0,X1)),X2) = sK0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_195]) ).
tcf(c_6815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtsldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),X2) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_195]) ).
tcf(c_6816,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtsldt0(sdtasdt0(X2,sK1(X0,X1)),X2) = sK1(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_195]) ).
tcf(c_6817,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X1,sK2(X0)),X1) = sK2(X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_195]) ).
tcf(c_6818,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X1 = sz00 )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X1,sK3(X0)),X1) = sK3(X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_195]) ).
tcf(c_6819,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sz00),X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_195]) ).
tcf(c_6820,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sz10),X0) = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_195]) ).
tcf(c_6821,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X2,sdtsldt0(X1,X0)),X2) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_195]) ).
tcf(c_6822,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),X0) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5404,c_195]) ).
tcf(c_6823,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xp)),X0) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5447,c_195]) ).
tcf(c_6824,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),X0) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5662,c_195]) ).
tcf(c_6825,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),X0) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5707,c_195]) ).
tcf(c_6826,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),X0) = sdtpldt0(xn,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5784,c_195]) ).
tcf(c_6989,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_54,c_114]) ).
tcf(c_6990,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(superposition,[status(thm)],[c_67,c_114]) ).
tcf(c_6991,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_70,c_114]) ).
tcf(c_6992,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(superposition,[status(thm)],[c_74,c_114]) ).
tcf(c_6993,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_185,c_114]) ).
tcf(c_6994,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,X1)
| ( X1 = sz10 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X1))
| ~ doDivides0(X0,sK2(X1)) ),
inference(superposition,[status(thm)],[c_116,c_114]) ).
tcf(c_6995,plain,
! [X0: $i,X1: $i] :
( isPrime0(X1)
| doDivides0(X0,X1)
| ( X1 = sz10 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X1))
| ~ doDivides0(X0,sK3(X1)) ),
inference(superposition,[status(thm)],[c_121,c_114]) ).
tcf(c_6997,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_4971,c_114]) ).
tcf(c_6998,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(superposition,[status(thm)],[c_4970,c_114]) ).
tcf(c_6999,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4974,c_114]) ).
tcf(c_7000,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_4973,c_114]) ).
tcf(c_7001,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_4972,c_114]) ).
tcf(c_7004,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5005,c_114]) ).
tcf(c_7007,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5207,c_114]) ).
tcf(c_7009,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5347,c_114]) ).
tcf(c_7010,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5350,c_114]) ).
tcf(c_7011,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_6105,c_114]) ).
tcf(c_7012,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7010,c_138,c_51]) ).
tcf(c_7016,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7009,c_138,c_50]) ).
tcf(c_7020,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7007,c_66,c_138]) ).
tcf(c_7024,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7004,c_138,c_49]) ).
tcf(c_7028,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7001,c_134,c_50]) ).
tcf(c_7032,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7000,c_134,c_49]) ).
tcf(c_7036,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6999,c_138,c_134]) ).
tcf(c_7040,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6998,c_66,c_134]) ).
tcf(c_7044,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6997,c_134,c_51]) ).
tcf(c_7048,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6992,c_66,c_49]) ).
tcf(c_7052,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6990,c_66]) ).
tcf(c_7057,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7011,c_138,c_5404]) ).
tcf(c_7061,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6991,c_66]) ).
tcf(c_7066,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6989,c_51]) ).
tcf(c_7111,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(superposition,[status(thm)],[c_138,c_109]) ).
tcf(c_7131,plain,
( ( sdtasdt0(sdtpldt0(xn,xm),sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_6799,c_99]) ).
tcf(c_7134,plain,
sdtasdt0(sdtpldt0(xn,xm),sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_7131,c_5404]) ).
tcf(c_7149,plain,
( ( sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_6800,c_84]) ).
tcf(c_7151,plain,
sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_7149,c_5404]) ).
tcf(c_7169,plain,
! [X0: $i] :
( aNaturalNumber0(sdtsldt0(X0,sz10))
| ( sz10 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz10,X0) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_7183,plain,
( aNaturalNumber0(sdtsldt0(sz00,sz10))
| ( sz10 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(sz10,sz00) ),
inference(instantiation,[status(thm)],[c_7169]) ).
tcf(c_7191,plain,
( doDivides0(sdtpldt0(xn,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5423,c_185]) ).
tcf(c_7194,plain,
doDivides0(sdtpldt0(xn,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7191,c_134,c_5404]) ).
tcf(c_7195,plain,
( ( sdtasdt0(sdtpldt0(xn,xm),sK1(sdtpldt0(xn,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_7194,c_99]) ).
tcf(c_7197,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_7194,c_114]) ).
tcf(c_7198,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7197,c_134,c_5404]) ).
tcf(c_7202,plain,
sdtasdt0(sdtpldt0(xn,xm),sK1(sdtpldt0(xn,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7195,c_134,c_5404]) ).
tcf(c_7206,plain,
( doDivides0(sdtpldt0(xn,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5623,c_185]) ).
tcf(c_7209,plain,
doDivides0(sdtpldt0(xn,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7206,c_134,c_5447]) ).
tcf(c_7210,plain,
( ( sdtasdt0(sdtpldt0(xn,xp),sK1(sdtpldt0(xn,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_7209,c_99]) ).
tcf(c_7212,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_7209,c_114]) ).
tcf(c_7213,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7212,c_134,c_5447]) ).
tcf(c_7217,plain,
sdtasdt0(sdtpldt0(xn,xp),sK1(sdtpldt0(xn,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7210,c_134,c_5447]) ).
tcf(c_7221,plain,
( doDivides0(sdtpldt0(xn,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5692,c_185]) ).
tcf(c_7224,plain,
doDivides0(sdtpldt0(xn,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7221,c_134,c_5662]) ).
tcf(c_7225,plain,
( ( sdtasdt0(sdtpldt0(xn,xr),sK1(sdtpldt0(xn,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_7224,c_99]) ).
tcf(c_7227,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_7224,c_114]) ).
tcf(c_7228,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7227,c_134,c_5662]) ).
tcf(c_7232,plain,
sdtasdt0(sdtpldt0(xn,xr),sK1(sdtpldt0(xn,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7225,c_134,c_5662]) ).
tcf(c_7235,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5424,c_188]) ).
tcf(c_7237,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5424,c_52]) ).
tcf(c_7238,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_7235,c_134,c_5404]) ).
tcf(c_7252,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_58,c_127]) ).
tcf(c_7253,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_60,c_127]) ).
tcf(c_7254,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_69,c_127]) ).
tcf(c_7255,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_72,c_127]) ).
tcf(c_7257,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_188,c_127]) ).
tcf(c_7258,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_100,c_127]) ).
tcf(c_7260,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_126,c_127]) ).
tcf(c_7261,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_135,c_127]) ).
tcf(c_7268,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4997,c_127]) ).
tcf(c_7269,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4996,c_127]) ).
tcf(c_7270,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4995,c_127]) ).
tcf(c_7271,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4994,c_127]) ).
tcf(c_7272,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4993,c_127]) ).
tcf(c_7273,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5022,c_127]) ).
tcf(c_7274,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5405,c_127]) ).
tcf(c_7275,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5448,c_127]) ).
tcf(c_7276,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5493,c_127]) ).
tcf(c_7277,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5490,c_127]) ).
tcf(c_7278,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5648,c_127]) ).
tcf(c_7279,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5646,c_127]) ).
tcf(c_7280,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5663,c_127]) ).
tcf(c_7281,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5708,c_127]) ).
tcf(c_7282,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_5982,c_127]) ).
tcf(c_7284,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7279,c_66,c_138]) ).
tcf(c_7288,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7278,c_138,c_51]) ).
tcf(c_7292,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7272,c_138,c_134]) ).
tcf(c_7296,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7271,c_66,c_134]) ).
tcf(c_7300,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7270,c_134,c_51]) ).
tcf(c_7304,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7269,c_134,c_50]) ).
tcf(c_7308,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7268,c_134,c_49]) ).
tcf(c_7312,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7255,c_51]) ).
tcf(c_7317,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7254,c_66]) ).
tcf(c_7322,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7253,c_51,c_50]) ).
tcf(c_7326,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7252,c_51,c_49]) ).
tcf(c_7336,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7282,c_66,c_49]) ).
tcf(c_7341,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7281,c_49,c_5707]) ).
tcf(c_7345,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7280,c_66,c_5662]) ).
tcf(c_7349,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7277,c_138,c_50]) ).
tcf(c_7354,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7276,c_138,c_49]) ).
tcf(c_7359,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7275,c_51,c_5447]) ).
tcf(c_7363,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7274,c_50,c_5404]) ).
tcf(c_7373,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_7261,c_138]) ).
tcf(c_7380,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7273,c_49]) ).
tcf(c_7397,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(instantiation,[status(thm)],[c_7380]) ).
tcf(c_7403,plain,
sdtasdt0(xn,sz10) = xn,
inference(superposition,[status(thm)],[c_49,c_136]) ).
tcf(c_7406,plain,
sdtasdt0(xr,sz10) = xr,
inference(superposition,[status(thm)],[c_66,c_136]) ).
tcf(c_7427,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xn,X1),X0) = sdtpldt0(xn,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_93]) ).
tcf(c_7428,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,X1),X0) = sdtpldt0(xm,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_93]) ).
tcf(c_7429,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xp,X1),X0) = sdtpldt0(xp,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_93]) ).
tcf(c_7430,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xr,X1),X0) = sdtpldt0(xr,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_66,c_93]) ).
tcf(c_7431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X3),X2) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_93]) ).
tcf(c_7432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK0(X0,X1),X3),X2) = sdtpldt0(sK0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_93]) ).
tcf(c_7433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X3),X2) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_93]) ).
tcf(c_7434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK1(X0,X1),X3),X2) = sdtpldt0(sK1(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_93]) ).
tcf(c_7435,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sK2(X0),X2),X1) = sdtpldt0(sK2(X0),sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_93]) ).
tcf(c_7436,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sK3(X0),X2),X1) = sdtpldt0(sK3(X0),sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_93]) ).
tcf(c_7437,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X1),X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_93]) ).
tcf(c_7438,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz10,X1),X0) = sdtpldt0(sz10,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_93]) ).
tcf(c_7439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X3),X2) = sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_93]) ).
tcf(c_7440,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),X1),X0) = sdtpldt0(sdtpldt0(xn,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5404,c_93]) ).
tcf(c_7441,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xp),X1),X0) = sdtpldt0(sdtpldt0(xn,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5447,c_93]) ).
tcf(c_7442,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xr),X1),X0) = sdtpldt0(sdtpldt0(xn,xr),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5662,c_93]) ).
tcf(c_7443,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xn),X1),X0) = sdtpldt0(sdtpldt0(sz10,xn),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5707,c_93]) ).
tcf(c_7444,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X1),X0) = sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5784,c_93]) ).
tcf(c_7652,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xn,X1),X0) = sdtasdt0(xn,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_110]) ).
tcf(c_7653,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,X1),X0) = sdtasdt0(xm,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_110]) ).
tcf(c_7654,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xp,X1),X0) = sdtasdt0(xp,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_110]) ).
tcf(c_7655,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xr,X1),X0) = sdtasdt0(xr,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_66,c_110]) ).
tcf(c_7656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X3),X2) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_110]) ).
tcf(c_7657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK0(X0,X1),X3),X2) = sdtasdt0(sK0(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_110]) ).
tcf(c_7658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X3),X2) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_110]) ).
tcf(c_7659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK1(X0,X1),X3),X2) = sdtasdt0(sK1(X0,X1),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_110]) ).
tcf(c_7660,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sK2(X0),X2),X1) = sdtasdt0(sK2(X0),sdtasdt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_110]) ).
tcf(c_7661,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sK3(X0),X2),X1) = sdtasdt0(sK3(X0),sdtasdt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_110]) ).
tcf(c_7662,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X1),X0) = sdtasdt0(sz00,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_110]) ).
tcf(c_7663,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz10,X1),X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_110]) ).
tcf(c_7664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(X1,X0),X3),X2) = sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_110]) ).
tcf(c_7665,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xm),X1),X0) = sdtasdt0(sdtpldt0(xn,xm),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5404,c_110]) ).
tcf(c_7666,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xp),X1),X0) = sdtasdt0(sdtpldt0(xn,xp),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5447,c_110]) ).
tcf(c_7667,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xr),X1),X0) = sdtasdt0(sdtpldt0(xn,xr),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5662,c_110]) ).
tcf(c_7668,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xn),X1),X0) = sdtasdt0(sdtpldt0(sz10,xn),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5707,c_110]) ).
tcf(c_7669,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X1),X0) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5784,c_110]) ).
tcf(c_7884,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_7238,c_127]) ).
tcf(c_7885,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),sz00) ),
inference(superposition,[status(thm)],[c_7238,c_128]) ).
tcf(c_7886,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_7238,c_84]) ).
tcf(c_7887,plain,
( iLess0(sz00,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_7238,c_96]) ).
tcf(c_7888,plain,
( iLess0(sz00,sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7887,c_134,c_5404]) ).
tcf(c_7891,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_7886,c_134,c_5404]) ).
tcf(c_7892,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7885,c_134,c_5404]) ).
tcf(c_7895,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7884,c_134,c_5404]) ).
tcf(c_7904,plain,
( doDivides0(sdtpldt0(sz10,xn),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5723,c_185]) ).
tcf(c_7907,plain,
doDivides0(sdtpldt0(sz10,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_7904,c_134,c_5707]) ).
tcf(c_7908,plain,
( ( sdtasdt0(sdtpldt0(sz10,xn),sK1(sdtpldt0(sz10,xn),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_7907,c_99]) ).
tcf(c_7910,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ doDivides0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_7907,c_114]) ).
tcf(c_7911,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7910,c_134,c_5707]) ).
tcf(c_7915,plain,
sdtasdt0(sdtpldt0(sz10,xn),sK1(sdtpldt0(sz10,xn),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_7908,c_134,c_5707]) ).
tcf(c_7926,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_7380,c_127]) ).
tcf(c_7927,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_7380,c_128]) ).
tcf(c_7928,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_7380,c_84]) ).
tcf(c_7929,plain,
! [X0: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_7380,c_96]) ).
tcf(c_8006,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_69,c_7926]) ).
tcf(c_8009,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_188,c_7926]) ).
tcf(c_8010,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_100,c_7926]) ).
tcf(c_8012,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_7926]) ).
tcf(c_8013,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_135,c_7926]) ).
tcf(c_8014,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4992,c_7926]) ).
tcf(c_8015,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5002,c_7926]) ).
tcf(c_8016,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5001,c_7926]) ).
tcf(c_8018,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4999,c_7926]) ).
tcf(c_8019,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4998,c_7926]) ).
tcf(c_8020,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4997,c_7926]) ).
tcf(c_8021,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4996,c_7926]) ).
tcf(c_8023,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4994,c_7926]) ).
tcf(c_8024,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4993,c_7926]) ).
tcf(c_8025,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5022,c_7926]) ).
tcf(c_8026,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_5405,c_7926]) ).
tcf(c_8027,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_5448,c_7926]) ).
tcf(c_8028,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5493,c_7926]) ).
tcf(c_8029,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5490,c_7926]) ).
tcf(c_8031,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5646,c_7926]) ).
tcf(c_8032,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5663,c_7926]) ).
tcf(c_8033,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5708,c_7926]) ).
tcf(c_8035,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5982,c_7926]) ).
tcf(c_8036,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_6800,c_7926]) ).
tcf(c_8037,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_7238,c_7926]) ).
tcf(c_8038,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8019,c_138]) ).
tcf(c_8043,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8018,c_66]) ).
tcf(c_8048,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8016,c_50]) ).
tcf(c_8054,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8014,c_134,c_4997]) ).
tcf(c_8059,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8031,c_66,c_138]) ).
tcf(c_8064,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8024,c_138,c_134]) ).
tcf(c_8069,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8023,c_66,c_134]) ).
tcf(c_8074,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8021,c_134,c_50]) ).
tcf(c_8080,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8006,c_66]) ).
tcf(c_8086,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8036,c_5404]) ).
tcf(c_8099,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8035,c_66,c_49,c_5002]) ).
tcf(c_8105,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8032,c_66,c_5662]) ).
tcf(c_8110,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8029,c_138,c_50]) ).
tcf(c_8116,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8028,c_138,c_49,c_5002]) ).
tcf(c_8121,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8027,c_51,c_5447]) ).
tcf(c_8126,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8026,c_50,c_5404]) ).
tcf(c_8138,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8013,c_138]) ).
tcf(c_8199,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_7927,c_49,c_75,c_5586]) ).
tcf(c_8200,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(renaming,[status(thm)],[c_8199]) ).
tcf(c_8201,plain,
( ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz00) ),
inference(instantiation,[status(thm)],[c_8200]) ).
tcf(c_8213,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),xn) ),
inference(superposition,[status(thm)],[c_188,c_8200]) ).
tcf(c_8214,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),xn) ),
inference(superposition,[status(thm)],[c_100,c_8200]) ).
tcf(c_8257,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,xn)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_132,c_7928]) ).
tcf(c_8258,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8257,c_66,c_49,c_74]) ).
tcf(c_8281,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_8012]) ).
tcf(c_8282,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_135,c_8012]) ).
tcf(c_8283,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5002,c_8012]) ).
tcf(c_8284,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4997,c_8012]) ).
tcf(c_8285,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5493,c_8012]) ).
tcf(c_8286,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5982,c_8012]) ).
tcf(c_8287,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8284,c_134]) ).
tcf(c_8293,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8283,c_49]) ).
tcf(c_8299,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8286,c_66]) ).
tcf(c_8306,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8285,c_138]) ).
tcf(c_8313,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8281,c_49]) ).
tcf(c_8321,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8282,c_138,c_49]) ).
tcf(c_8338,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8213,c_95]) ).
tcf(c_8351,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_126,c_8338]) ).
tcf(c_8353,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8351,c_49]) ).
tcf(c_8360,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(global_subsumption_just,[status(thm)],[c_8009,c_95,c_8009]) ).
tcf(c_8375,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_126,c_8360]) ).
tcf(c_8378,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4693,c_8360]) ).
tcf(c_8379,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4694,c_8360]) ).
tcf(c_8381,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4696,c_8360]) ).
tcf(c_8382,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4698,c_8360]) ).
tcf(c_8388,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_5356,c_8360]) ).
tcf(c_8389,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_5357,c_8360]) ).
tcf(c_8390,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5358,c_8360]) ).
tcf(c_8391,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5365,c_8360]) ).
tcf(c_8392,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_5419,c_8360]) ).
tcf(c_8394,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6719,c_8360]) ).
tcf(c_8404,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8392,c_49,c_5404]) ).
tcf(c_8409,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8375,c_49]) ).
tcf(c_8438,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_5425,c_8360]) ).
tcf(c_8443,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5425,c_52]) ).
tcf(c_8459,plain,
( ( xp = sz10 )
| ( sdtasdt0(xn,xm) = xp )
| ~ aNaturalNumber0(xp)
| ~ isPrime0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_54,c_124]) ).
tcf(c_8460,plain,
( ( sz10 = xr )
| ( xk = xr )
| ~ isPrime0(xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_67,c_124]) ).
tcf(c_8461,plain,
( ( sz10 = xr )
| ( sdtasdt0(xn,xm) = xr )
| ~ aNaturalNumber0(xr)
| ~ isPrime0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_70,c_124]) ).
tcf(c_8462,plain,
( ( sz10 = xr )
| ( xn = xr )
| ~ isPrime0(xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_74,c_124]) ).
tcf(c_8463,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_185,c_124]) ).
tcf(c_8464,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK2(X0) = sz10 )
| ( sK2(X0) = X0 )
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(superposition,[status(thm)],[c_116,c_124]) ).
tcf(c_8487,plain,
( ( sz10 = xr )
| ( xn = xr )
| ~ isPrime0(xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8462,c_66,c_49]) ).
tcf(c_8491,plain,
( ( sz10 = xr )
| ( xk = xr )
| ~ isPrime0(xk)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8460,c_66]) ).
tcf(c_8496,plain,
( ( sz10 = xr )
| ( sdtasdt0(xn,xm) = xr )
| ~ isPrime0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8461,c_66]) ).
tcf(c_8501,plain,
( ( xp = sz10 )
| ( sdtasdt0(xn,xm) = xp )
| ~ isPrime0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8459,c_51]) ).
tcf(c_8531,plain,
! [X0: $i,X1: $i] :
( doDivides0(sK2(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz10 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK2(sdtpldt0(X0,X1)))
| ~ doDivides0(sK2(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_116,c_76]) ).
tcf(c_8532,plain,
! [X0: $i,X1: $i] :
( isPrime0(sdtpldt0(X0,X1))
| doDivides0(sK3(sdtpldt0(X0,X1)),X1)
| ( sdtpldt0(X0,X1) = sz10 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sK3(sdtpldt0(X0,X1)))
| ~ doDivides0(sK3(sdtpldt0(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_121,c_76]) ).
tcf(c_8534,plain,
( doDivides0(sdtpldt0(xn,xm),xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_6799,c_76]) ).
tcf(c_8546,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5356,c_76]) ).
tcf(c_8547,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5357,c_76]) ).
tcf(c_8548,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5358,c_76]) ).
tcf(c_8549,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5365,c_76]) ).
tcf(c_8551,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_5419,c_76]) ).
tcf(c_8553,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6719,c_76]) ).
tcf(c_8554,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8549,c_138,c_49]) ).
tcf(c_8560,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8547,c_51,c_49]) ).
tcf(c_8565,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8546,c_50,c_49]) ).
tcf(c_8570,plain,
( doDivides0(sdtpldt0(xn,xm),xm)
| ~ doDivides0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8534,c_50,c_49,c_5404]) ).
tcf(c_8573,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8551,c_49,c_5404]) ).
tcf(c_8578,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8553,c_49]) ).
tcf(c_8614,plain,
( sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_6217,c_188]) ).
tcf(c_8619,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_6328,c_188]) ).
tcf(c_8629,plain,
sdtlseqdt0(sz00,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_8619,c_134,c_49]) ).
tcf(c_8634,plain,
sdtlseqdt0(xn,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_8614,c_134,c_49]) ).
tcf(c_8658,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_5356,c_77]) ).
tcf(c_8659,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_5357,c_77]) ).
tcf(c_8660,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_5358,c_77]) ).
tcf(c_8661,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xn) ),
inference(superposition,[status(thm)],[c_5365,c_77]) ).
tcf(c_8663,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5419,c_77]) ).
tcf(c_8665,plain,
! [X0: $i] :
( doDivides0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6719,c_77]) ).
tcf(c_8666,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_77,c_124]) ).
tcf(c_8667,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X2,sK1(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_77,c_99]) ).
tcf(c_8668,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_77,c_113]) ).
tcf(c_8669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X3,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_114]) ).
tcf(c_8671,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8661,c_138,c_49]) ).
tcf(c_8676,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8660,c_66,c_49]) ).
tcf(c_8681,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8659,c_51,c_49]) ).
tcf(c_8686,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8658,c_50,c_49]) ).
tcf(c_8691,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8663,c_49,c_5404]) ).
tcf(c_8720,plain,
! [X0: $i] :
( doDivides0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8665,c_49]) ).
tcf(c_8824,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4697,c_87]) ).
tcf(c_8825,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_4693,c_87]) ).
tcf(c_8826,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_4694,c_87]) ).
tcf(c_8827,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4695,c_87]) ).
tcf(c_8828,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_4696,c_87]) ).
tcf(c_8829,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_4698,c_87]) ).
tcf(c_8830,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_4703,c_87]) ).
tcf(c_8831,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_4704,c_87]) ).
tcf(c_8832,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4705,c_87]) ).
tcf(c_8833,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(superposition,[status(thm)],[c_4706,c_87]) ).
tcf(c_8834,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_4708,c_87]) ).
tcf(c_8835,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_5356,c_87]) ).
tcf(c_8836,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_5357,c_87]) ).
tcf(c_8837,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_5358,c_87]) ).
tcf(c_8838,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5365,c_87]) ).
tcf(c_8839,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_5425,c_87]) ).
tcf(c_8840,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,sdtpldt0(xn,xm)) ) ),
inference(superposition,[status(thm)],[c_5419,c_87]) ).
tcf(c_8841,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_5424,c_87]) ).
tcf(c_8842,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ( sdtpldt0(xn,X0) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_6719,c_87]) ).
tcf(c_8844,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8824,c_134]) ).
tcf(c_8848,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8834,c_138,c_134]) ).
tcf(c_8852,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8833,c_66,c_134]) ).
tcf(c_8856,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8832,c_134,c_51]) ).
tcf(c_8860,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8831,c_134,c_50]) ).
tcf(c_8864,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8830,c_134,c_49]) ).
tcf(c_8868,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8829,c_138,c_134]) ).
tcf(c_8872,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8828,c_66,c_134]) ).
tcf(c_8876,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8827,c_134,c_51]) ).
tcf(c_8880,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8826,c_134,c_50]) ).
tcf(c_8884,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8825,c_134,c_49]) ).
tcf(c_8888,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8838,c_138,c_49]) ).
tcf(c_8892,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8837,c_66,c_49]) ).
tcf(c_8896,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8836,c_51,c_49]) ).
tcf(c_8900,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8835,c_50,c_49]) ).
tcf(c_8904,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8841,c_134,c_5404]) ).
tcf(c_8908,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8839,c_134,c_5404]) ).
tcf(c_8912,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,sdtpldt0(xn,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8840,c_49,c_5404]) ).
tcf(c_8916,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ( sdtpldt0(xn,X0) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8842,c_49]) ).
tcf(c_8934,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6147,c_76]) ).
tcf(c_8936,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6147,c_8360]) ).
tcf(c_8941,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,sz10))
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6147,c_52]) ).
tcf(c_8943,plain,
! [X0: $i] :
( ( sK0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_6147,c_87]) ).
tcf(c_8944,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8934,c_138]) ).
tcf(c_8949,plain,
! [X0: $i] :
( ( sK0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ( sdtpldt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8943,c_138]) ).
tcf(c_8954,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8936,c_138]) ).
tcf(c_8960,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,sz10))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8941,c_138]) ).
tcf(c_8970,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xr,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6148,c_76]) ).
tcf(c_8972,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6148,c_8360]) ).
tcf(c_8973,plain,
( ( sK0(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_6148,c_86]) ).
tcf(c_8977,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sK0(xr,xr))
| ~ aNaturalNumber0(xr)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK0(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6148,c_52]) ).
tcf(c_8979,plain,
! [X0: $i] :
( ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6148,c_87]) ).
tcf(c_8980,plain,
( ( sK0(xr,xr) = sz00 )
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8973,c_66]) ).
tcf(c_8984,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xr,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8970,c_66]) ).
tcf(c_8989,plain,
! [X0: $i] :
( ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sdtpldt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8979,c_66]) ).
tcf(c_8994,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8972,c_66]) ).
tcf(c_9000,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sK0(xr,xr))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ doDivides0(X0,sdtasdt0(xr,sK0(xr,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8977,c_66]) ).
tcf(c_9040,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(superposition,[status(thm)],[c_6149,c_76]) ).
tcf(c_9043,plain,
( ( sK0(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( xp != sz00 ) ),
inference(superposition,[status(thm)],[c_6149,c_86]) ).
tcf(c_9047,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,sK0(xp,xp))
| ~ aNaturalNumber0(xp)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK0(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6149,c_52]) ).
tcf(c_9049,plain,
! [X0: $i] :
( ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6149,c_87]) ).
tcf(c_9050,plain,
( ( sK0(xp,xp) = sz00 )
| ~ aNaturalNumber0(sK0(xp,xp))
| ( xp != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9043,c_51]) ).
tcf(c_9054,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xp,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9040,c_51]) ).
tcf(c_9059,plain,
! [X0: $i] :
( ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9049,c_51]) ).
tcf(c_9064,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,sK0(xp,xp))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ doDivides0(X0,sdtasdt0(xp,sK0(xp,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9047,c_51]) ).
tcf(c_9074,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xm,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_6150,c_76]) ).
tcf(c_9076,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6150,c_8360]) ).
tcf(c_9077,plain,
( ( sK0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_6150,c_86]) ).
tcf(c_9081,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,sK0(xm,xm))
| ~ aNaturalNumber0(xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK0(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6150,c_52]) ).
tcf(c_9083,plain,
! [X0: $i] :
( ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_6150,c_87]) ).
tcf(c_9084,plain,
( ( sK0(xm,xm) = sz00 )
| ~ aNaturalNumber0(sK0(xm,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9077,c_50]) ).
tcf(c_9088,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xm,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9074,c_50]) ).
tcf(c_9093,plain,
! [X0: $i] :
( ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9083,c_50]) ).
tcf(c_9098,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9076,c_50]) ).
tcf(c_9104,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,sK0(xm,xm))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ doDivides0(X0,sdtasdt0(xm,sK0(xm,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9081,c_50]) ).
tcf(c_9120,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8214,c_112]) ).
tcf(c_9136,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_126,c_9120]) ).
tcf(c_9138,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9136,c_49]) ).
tcf(c_9145,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(global_subsumption_just,[status(thm)],[c_8010,c_112,c_8010]) ).
tcf(c_9161,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_126,c_9145]) ).
tcf(c_9164,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4831,c_9145]) ).
tcf(c_9170,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4826,c_9145]) ).
tcf(c_9171,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4827,c_9145]) ).
tcf(c_9172,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4828,c_9145]) ).
tcf(c_9173,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4829,c_9145]) ).
tcf(c_9174,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4836,c_9145]) ).
tcf(c_9175,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4837,c_9145]) ).
tcf(c_9177,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4839,c_9145]) ).
tcf(c_9178,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4841,c_9145]) ).
tcf(c_9182,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4849,c_9145]) ).
tcf(c_9183,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_5420,c_9145]) ).
tcf(c_9184,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_5421,c_9145]) ).
tcf(c_9185,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5422,c_9145]) ).
tcf(c_9187,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5622,c_9145]) ).
tcf(c_9189,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5691,c_9145]) ).
tcf(c_9191,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5722,c_9145]) ).
tcf(c_9194,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9182,c_66,c_138]) ).
tcf(c_9203,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9173,c_66,c_134,c_4997]) ).
tcf(c_9208,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9172,c_134,c_51,c_4997]) ).
tcf(c_9213,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9171,c_134,c_50,c_4997]) ).
tcf(c_9218,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9170,c_134,c_49,c_4997]) ).
tcf(c_9225,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9189,c_134,c_4997,c_5662]) ).
tcf(c_9230,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9187,c_134,c_4997,c_5447]) ).
tcf(c_9235,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9185,c_134,c_4997,c_5404]) ).
tcf(c_9241,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9183,c_138,c_5404]) ).
tcf(c_9247,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9161,c_49]) ).
tcf(c_9272,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_75]) ).
tcf(c_9275,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9272,c_49]) ).
tcf(c_9323,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8054,c_127]) ).
tcf(c_9324,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_8054,c_7926]) ).
tcf(c_9325,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz00) ),
inference(superposition,[status(thm)],[c_8054,c_128]) ).
tcf(c_9326,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8054,c_84]) ).
tcf(c_9327,plain,
( iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8054,c_96]) ).
tcf(c_9328,plain,
( iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9327,c_134]) ).
tcf(c_9334,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9326,c_134]) ).
tcf(c_9338,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9325,c_134]) ).
tcf(c_9343,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9323,c_134]) ).
tcf(c_9358,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8038,c_127]) ).
tcf(c_9359,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_8038,c_7926]) ).
tcf(c_9360,plain,
( ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(superposition,[status(thm)],[c_8038,c_128]) ).
tcf(c_9361,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8038,c_84]) ).
tcf(c_9362,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8038,c_96]) ).
tcf(c_9363,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9362,c_138]) ).
tcf(c_9370,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9361,c_138]) ).
tcf(c_9375,plain,
( ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9360,c_138]) ).
tcf(c_9381,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9358,c_138]) ).
tcf(c_9427,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8043,c_127]) ).
tcf(c_9428,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_8043,c_7926]) ).
tcf(c_9429,plain,
( ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_8043,c_128]) ).
tcf(c_9430,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8043,c_84]) ).
tcf(c_9431,plain,
( iLess0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8043,c_96]) ).
tcf(c_9432,plain,
( iLess0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9431,c_66]) ).
tcf(c_9439,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9430,c_66]) ).
tcf(c_9444,plain,
( ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9429,c_66]) ).
tcf(c_9450,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9427,c_66]) ).
tcf(c_9466,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8048,c_127]) ).
tcf(c_9467,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_8048,c_7926]) ).
tcf(c_9468,plain,
( ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xm) ),
inference(superposition,[status(thm)],[c_8048,c_128]) ).
tcf(c_9469,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8048,c_84]) ).
tcf(c_9470,plain,
( iLess0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8048,c_96]) ).
tcf(c_9471,plain,
( iLess0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9470,c_50]) ).
tcf(c_9478,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9469,c_50]) ).
tcf(c_9483,plain,
( ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9468,c_50]) ).
tcf(c_9489,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9466,c_50]) ).
tcf(c_9505,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8059,c_127]) ).
tcf(c_9506,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_8059,c_7926]) ).
tcf(c_9507,plain,
( ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(superposition,[status(thm)],[c_8059,c_128]) ).
tcf(c_9508,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8059,c_84]) ).
tcf(c_9509,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8059,c_96]) ).
tcf(c_9510,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9509,c_138]) ).
tcf(c_9517,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9508,c_138]) ).
tcf(c_9522,plain,
( ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9507,c_138]) ).
tcf(c_9528,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9505,c_138]) ).
tcf(c_9578,plain,
sdtpldt0(xn,xp) != sz00,
inference(global_subsumption_just,[status(thm)],[c_5609,c_1631,c_5609]) ).
tcf(c_9613,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(superposition,[status(thm)],[c_4697,c_88]) ).
tcf(c_9614,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(superposition,[status(thm)],[c_4693,c_88]) ).
tcf(c_9615,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(superposition,[status(thm)],[c_4694,c_88]) ).
tcf(c_9616,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(superposition,[status(thm)],[c_4695,c_88]) ).
tcf(c_9617,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xr ) ),
inference(superposition,[status(thm)],[c_4696,c_88]) ).
tcf(c_9618,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz10 ) ),
inference(superposition,[status(thm)],[c_4698,c_88]) ).
tcf(c_9619,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_4703,c_88]) ).
tcf(c_9620,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_4704,c_88]) ).
tcf(c_9621,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_4705,c_88]) ).
tcf(c_9622,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xr ) ),
inference(superposition,[status(thm)],[c_4706,c_88]) ).
tcf(c_9623,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(superposition,[status(thm)],[c_4708,c_88]) ).
tcf(c_9624,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_5356,c_88]) ).
tcf(c_9625,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_5357,c_88]) ).
tcf(c_9626,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_5358,c_88]) ).
tcf(c_9627,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5365,c_88]) ).
tcf(c_9628,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_5425,c_88]) ).
tcf(c_9629,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_5419,c_88]) ).
tcf(c_9630,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(X0,sdtpldt0(xn,xm)) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_5424,c_88]) ).
tcf(c_9631,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(X0,sK0(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_6150,c_88]) ).
tcf(c_9632,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(X0,sK0(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_6149,c_88]) ).
tcf(c_9633,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sdtpldt0(X0,sK0(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6148,c_88]) ).
tcf(c_9634,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ( sdtpldt0(X0,sK0(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_6147,c_88]) ).
tcf(c_9635,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ( sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_6719,c_88]) ).
tcf(c_9637,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9613,c_134]) ).
tcf(c_9641,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9623,c_138,c_134]) ).
tcf(c_9645,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9622,c_66,c_134]) ).
tcf(c_9649,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9621,c_134,c_51]) ).
tcf(c_9653,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9620,c_134,c_50]) ).
tcf(c_9657,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9619,c_134,c_49]) ).
tcf(c_9661,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9618,c_138,c_134]) ).
tcf(c_9665,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9617,c_66,c_134]) ).
tcf(c_9669,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9616,c_134,c_51]) ).
tcf(c_9673,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9615,c_134,c_50]) ).
tcf(c_9677,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9614,c_134,c_49]) ).
tcf(c_9681,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9627,c_138,c_49]) ).
tcf(c_9685,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9626,c_66,c_49]) ).
tcf(c_9689,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9625,c_51,c_49]) ).
tcf(c_9693,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9624,c_50,c_49]) ).
tcf(c_9697,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ( sdtpldt0(X0,sK0(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9634,c_138]) ).
tcf(c_9702,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ( sdtpldt0(X0,sK0(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9633,c_66]) ).
tcf(c_9707,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ( sdtpldt0(X0,sK0(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9632,c_51]) ).
tcf(c_9712,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ( sdtpldt0(X0,sK0(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9631,c_50]) ).
tcf(c_9717,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xm)) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9630,c_134,c_5404]) ).
tcf(c_9721,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9628,c_134,c_5404]) ).
tcf(c_9725,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9629,c_49,c_5404]) ).
tcf(c_9729,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ( sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9635,c_49]) ).
tcf(c_9784,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_54,c_133]) ).
tcf(c_9785,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(xk,xr)) = xk )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_67,c_133]) ).
tcf(c_9786,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_70,c_133]) ).
tcf(c_9787,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(xn,xr)) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_74,c_133]) ).
tcf(c_9788,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtasdt0(X2,sdtsldt0(sdtpldt0(X0,X1),X2)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_133]) ).
tcf(c_9789,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(X0,X1),X0)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_185,c_133]) ).
tcf(c_9790,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK2(X0) = sz00 )
| ( sdtasdt0(sK2(X0),sdtsldt0(X0,sK2(X0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(superposition,[status(thm)],[c_116,c_133]) ).
tcf(c_9791,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK3(X0) = sz00 )
| ( sdtasdt0(sK3(X0),sdtsldt0(X0,sK3(X0))) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0)) ),
inference(superposition,[status(thm)],[c_121,c_133]) ).
tcf(c_9793,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4971,c_133]) ).
tcf(c_9794,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sz00,xr)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4970,c_133]) ).
tcf(c_9795,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sz00,sz10)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4974,c_133]) ).
tcf(c_9796,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4973,c_133]) ).
tcf(c_9797,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4972,c_133]) ).
tcf(c_9798,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4969,c_133]) ).
tcf(c_9799,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(xr,xr)) = xr )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_4968,c_133]) ).
tcf(c_9800,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xn,sz10)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5005,c_133]) ).
tcf(c_9801,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(xm,xm)) = xm )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_5194,c_133]) ).
tcf(c_9802,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(xp,xp)) = xp )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_5204,c_133]) ).
tcf(c_9803,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xr,sz10)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5207,c_133]) ).
tcf(c_9804,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sz10,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5344,c_133]) ).
tcf(c_9805,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xm,sz10)) = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_5347,c_133]) ).
tcf(c_9806,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(xp,sz10)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_5350,c_133]) ).
tcf(c_9807,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xm),sz10)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_6105,c_133]) ).
tcf(c_9808,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xm),sdtsldt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_6799,c_133]) ).
tcf(c_9809,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xm),sdtsldt0(sz00,sdtpldt0(xn,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_7194,c_133]) ).
tcf(c_9810,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xp),sdtsldt0(sz00,sdtpldt0(xn,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_7209,c_133]) ).
tcf(c_9811,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sz00,sdtpldt0(xn,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_7224,c_133]) ).
tcf(c_9812,plain,
( ( sdtpldt0(sz10,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xn),sdtsldt0(sz00,sdtpldt0(sz10,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_7907,c_133]) ).
tcf(c_9813,plain,
sdtasdt0(sz10,sdtsldt0(sz10,sz10)) = sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_9804,c_139,c_138]) ).
tcf(c_9814,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(xp,xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9802,c_51]) ).
tcf(c_9817,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(xm,xm)) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9801,c_50]) ).
tcf(c_9820,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(xr,xr)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9799,c_66]) ).
tcf(c_9823,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(xn,xn)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9798,c_49]) ).
tcf(c_9826,plain,
sdtasdt0(sz10,sdtsldt0(xp,sz10)) = xp,
inference(forward_subsumption_resolution,[status(thm)],[c_9806,c_139,c_138,c_51]) ).
tcf(c_9827,plain,
sdtasdt0(sz10,sdtsldt0(xm,sz10)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_9805,c_139,c_138,c_50]) ).
tcf(c_9828,plain,
sdtasdt0(sz10,sdtsldt0(xr,sz10)) = xr,
inference(forward_subsumption_resolution,[status(thm)],[c_9803,c_139,c_66,c_138]) ).
tcf(c_9829,plain,
sdtasdt0(sz10,sdtsldt0(xn,sz10)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_9800,c_139,c_138,c_49]) ).
tcf(c_9830,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9797,c_134,c_50]) ).
tcf(c_9833,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9796,c_134,c_49]) ).
tcf(c_9836,plain,
sdtasdt0(sz10,sdtsldt0(sz00,sz10)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9795,c_139,c_138,c_134]) ).
tcf(c_9837,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sz00,xr)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9794,c_66,c_134]) ).
tcf(c_9840,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9793,c_134,c_51]) ).
tcf(c_9843,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(xn,xr)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9787,c_66,c_49]) ).
tcf(c_9846,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(xk,xr)) = xk )
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9785,c_66]) ).
tcf(c_9850,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xm),sz10)) = sdtpldt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_9807,c_139,c_138,c_5404]) ).
tcf(c_9851,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9786,c_66]) ).
tcf(c_9855,plain,
( ( xp = sz00 )
| ( sdtasdt0(xn,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(light_normalisation,[status(thm)],[c_9784,c_61]) ).
tcf(c_9856,plain,
( ( xp = sz00 )
| ( sdtasdt0(xn,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9855,c_51]) ).
tcf(c_9860,plain,
sdtasdt0(sdtpldt0(sz10,xn),sdtsldt0(sz00,sdtpldt0(sz10,xn))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9812,c_5820,c_134,c_5707]) ).
tcf(c_9861,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sz00,sdtpldt0(xn,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9811,c_134,c_5662]) ).
tcf(c_9864,plain,
sdtasdt0(sdtpldt0(xn,xp),sdtsldt0(sz00,sdtpldt0(xn,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_9810,c_9578,c_134,c_5447]) ).
tcf(c_9865,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xm),sdtsldt0(sz00,sdtpldt0(xn,xm))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9809,c_134,c_5404]) ).
tcf(c_9868,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xm),sdtsldt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9808,c_5404]) ).
tcf(c_10030,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xn,X1),sdtasdt0(xn,X0)) = sdtasdt0(xn,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_89]) ).
tcf(c_10031,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,X1),sdtasdt0(xm,X0)) = sdtasdt0(xm,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_89]) ).
tcf(c_10032,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xp,X1),sdtasdt0(xp,X0)) = sdtasdt0(xp,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_89]) ).
tcf(c_10033,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xr,X1),sdtasdt0(xr,X0)) = sdtasdt0(xr,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_66,c_89]) ).
tcf(c_10034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(sdtpldt0(X0,X1),X2)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_89]) ).
tcf(c_10035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK0(X0,X1),X3),sdtasdt0(sK0(X0,X1),X2)) = sdtasdt0(sK0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_89]) ).
tcf(c_10036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(sdtasdt0(X0,X1),X2)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_89]) ).
tcf(c_10037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK1(X0,X1),X3),sdtasdt0(sK1(X0,X1),X2)) = sdtasdt0(sK1(X0,X1),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_89]) ).
tcf(c_10038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK2(X0),X2),sdtasdt0(sK2(X0),X1)) = sdtasdt0(sK2(X0),sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_89]) ).
tcf(c_10039,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sK3(X0),X2),sdtasdt0(sK3(X0),X1)) = sdtasdt0(sK3(X0),sdtpldt0(X2,X1)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_89]) ).
tcf(c_10040,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(sz00,X0)) = sdtasdt0(sz00,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_89]) ).
tcf(c_10041,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz10,X1),sdtasdt0(sz10,X0)) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_89]) ).
tcf(c_10042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),X3),sdtasdt0(sdtsldt0(X1,X0),X2)) = sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(X3,X2)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_89]) ).
tcf(c_10043,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xm),X1),sdtasdt0(sdtpldt0(xn,xm),X0)) = sdtasdt0(sdtpldt0(xn,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5404,c_89]) ).
tcf(c_10044,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xp),X1),sdtasdt0(sdtpldt0(xn,xp),X0)) = sdtasdt0(sdtpldt0(xn,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5447,c_89]) ).
tcf(c_10045,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xr),X1),sdtasdt0(sdtpldt0(xn,xr),X0)) = sdtasdt0(sdtpldt0(xn,xr),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5662,c_89]) ).
tcf(c_10046,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xn),X1),sdtasdt0(sdtpldt0(sz10,xn),X0)) = sdtasdt0(sdtpldt0(sz10,xn),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5707,c_89]) ).
tcf(c_10047,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X1),sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5784,c_89]) ).
tcf(c_10138,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_10145,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ sdtlseqdt0(X0,X2)
| ( X1 != X2 )
| ( sdtsldt0(xn,xr) != X0 ) ),
inference(instantiation,[status(thm)],[c_3466]) ).
tcf(c_10146,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ~ sdtlseqdt0(sz00,sz00)
| ( sz00 != sz00 )
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(instantiation,[status(thm)],[c_10145]) ).
tcf(c_10148,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_10236,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xn),sdtasdt0(X0,xn)) = sdtasdt0(sdtpldt0(X1,X0),xn) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_90]) ).
tcf(c_10237,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xm),sdtasdt0(X0,xm)) = sdtasdt0(sdtpldt0(X1,X0),xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_90]) ).
tcf(c_10238,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xp),sdtasdt0(X0,xp)) = sdtasdt0(sdtpldt0(X1,X0),xp) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_90]) ).
tcf(c_10239,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,xr),sdtasdt0(X0,xr)) = sdtasdt0(sdtpldt0(X1,X0),xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_66,c_90]) ).
tcf(c_10240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtpldt0(X0,X1)),sdtasdt0(X2,sdtpldt0(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_90]) ).
tcf(c_10241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sK0(X0,X1)),sdtasdt0(X2,sK0(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sK0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_90]) ).
tcf(c_10242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sdtasdt0(X0,X1)),sdtasdt0(X2,sdtasdt0(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_90]) ).
tcf(c_10243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X3,sK1(X0,X1)),sdtasdt0(X2,sK1(X0,X1))) = sdtasdt0(sdtpldt0(X3,X2),sK1(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_90]) ).
tcf(c_10244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sK2(X0)),sdtasdt0(X1,sK2(X0))) = sdtasdt0(sdtpldt0(X2,X1),sK2(X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_90]) ).
tcf(c_10245,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sK3(X0)),sdtasdt0(X1,sK3(X0))) = sdtasdt0(sdtpldt0(X2,X1),sK3(X0)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_90]) ).
tcf(c_10246,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sz00),sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(X1,X0),sz00) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_90]) ).
tcf(c_10247,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sz10),sdtasdt0(X0,sz10)) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_90]) ).
tcf(c_10248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X3,sdtsldt0(X1,X0)),sdtasdt0(X2,sdtsldt0(X1,X0))) = sdtasdt0(sdtpldt0(X3,X2),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_90]) ).
tcf(c_10249,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,xm)),sdtasdt0(X0,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5404,c_90]) ).
tcf(c_10250,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,xp)),sdtasdt0(X0,sdtpldt0(xn,xp))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5447,c_90]) ).
tcf(c_10251,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,xr)),sdtasdt0(X0,sdtpldt0(xn,xr))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5662,c_90]) ).
tcf(c_10252,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(sz10,xn)),sdtasdt0(X0,sdtpldt0(sz10,xn))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5707,c_90]) ).
tcf(c_10253,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,sdtpldt0(xn,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5784,c_90]) ).
tcf(c_10431,plain,
! [X0: $i] :
( aNaturalNumber0(sdtsldt0(X0,xr))
| ( xr = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,X0) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_10445,plain,
( aNaturalNumber0(sdtsldt0(sz00,xr))
| ( xr = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(xr,sz00) ),
inference(instantiation,[status(thm)],[c_10431]) ).
tcf(c_10455,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xn,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_6151,c_76]) ).
tcf(c_10458,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6151,c_8360]) ).
tcf(c_10459,plain,
( ( sK0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_6151,c_86]) ).
tcf(c_10463,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sK0(xn,xn))
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK0(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6151,c_52]) ).
tcf(c_10464,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(X0,sK0(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6151,c_88]) ).
tcf(c_10466,plain,
! [X0: $i] :
( ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6151,c_87]) ).
tcf(c_10467,plain,
( ( sK0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sK0(xn,xn))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10459,c_49]) ).
tcf(c_10471,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10455,c_49]) ).
tcf(c_10476,plain,
! [X0: $i] :
( ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10466,c_49]) ).
tcf(c_10481,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ( sdtpldt0(X0,sK0(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10464,c_49]) ).
tcf(c_10486,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10458,c_49,c_5002]) ).
tcf(c_10491,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sK0(xn,xn))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ doDivides0(X0,sdtasdt0(xn,sK0(xn,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10463,c_49]) ).
tcf(c_10502,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6152,c_76]) ).
tcf(c_10505,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6152,c_8360]) ).
tcf(c_10506,plain,
( ( sK0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6152,c_86]) ).
tcf(c_10510,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,sz00))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6152,c_52]) ).
tcf(c_10511,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ( sdtpldt0(X0,sK0(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6152,c_88]) ).
tcf(c_10513,plain,
! [X0: $i] :
( ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6152,c_87]) ).
tcf(c_10514,plain,
( ( sK0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10506,c_134]) ).
tcf(c_10517,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,sz00))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10502,c_134]) ).
tcf(c_10522,plain,
! [X0: $i] :
( ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10513,c_134]) ).
tcf(c_10527,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ( sdtpldt0(X0,sK0(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10511,c_134]) ).
tcf(c_10532,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10505,c_134,c_4997]) ).
tcf(c_10537,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,sz00))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,sz00)))
| ~ iLess0(sdtpldt0(sz00,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10510,c_134]) ).
tcf(c_10546,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6155,c_76]) ).
tcf(c_10549,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6155,c_8360]) ).
tcf(c_10551,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_6155,c_85]) ).
tcf(c_10554,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,xr))
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6155,c_52]) ).
tcf(c_10555,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ( sdtpldt0(X0,sK0(sz10,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6155,c_88]) ).
tcf(c_10556,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ doDivides0(X0,sK0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6155,c_77]) ).
tcf(c_10557,plain,
! [X0: $i] :
( ( sK0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6155,c_87]) ).
tcf(c_10558,plain,
( ~ aNaturalNumber0(sK0(sz10,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10551,c_139,c_138]) ).
tcf(c_10561,plain,
! [X0: $i] :
( ( sK0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ( sdtpldt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10557,c_138]) ).
tcf(c_10567,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ( sdtpldt0(X0,sK0(sz10,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10555,c_138]) ).
tcf(c_10572,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10546,c_138]) ).
tcf(c_10578,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10549,c_138]) ).
tcf(c_10584,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,xr))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10554,c_138]) ).
tcf(c_10595,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6156,c_76]) ).
tcf(c_10600,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ( xp != sz00 ) ),
inference(superposition,[status(thm)],[c_6156,c_85]) ).
tcf(c_10603,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6156,c_52]) ).
tcf(c_10604,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ( sdtpldt0(X0,sK0(sz10,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_6156,c_88]) ).
tcf(c_10605,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ doDivides0(X0,sK0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6156,c_77]) ).
tcf(c_10606,plain,
! [X0: $i] :
( ( sK0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ( sdtpldt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6156,c_87]) ).
tcf(c_10607,plain,
( ~ aNaturalNumber0(sK0(sz10,xp))
| ( xp != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10600,c_139,c_138]) ).
tcf(c_10610,plain,
! [X0: $i] :
( ( sK0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ( sdtpldt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10606,c_138]) ).
tcf(c_10616,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ( sdtpldt0(X0,sK0(sz10,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10604,c_138]) ).
tcf(c_10621,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10595,c_138]) ).
tcf(c_10627,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,xp))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10603,c_138]) ).
tcf(c_10650,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8099,c_127]) ).
tcf(c_10651,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_8099,c_7926]) ).
tcf(c_10652,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_8099,c_128]) ).
tcf(c_10653,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8099,c_84]) ).
tcf(c_10654,plain,
( iLess0(xr,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8099,c_96]) ).
tcf(c_10655,plain,
( iLess0(xr,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10654,c_66]) ).
tcf(c_10662,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10653,c_66]) ).
tcf(c_10667,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10652,c_66]) ).
tcf(c_10673,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10650,c_66]) ).
tcf(c_10739,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8116,c_127]) ).
tcf(c_10740,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_8116,c_7926]) ).
tcf(c_10741,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(superposition,[status(thm)],[c_8116,c_128]) ).
tcf(c_10742,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8116,c_84]) ).
tcf(c_10743,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8116,c_96]) ).
tcf(c_10744,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10743,c_138]) ).
tcf(c_10751,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10742,c_138]) ).
tcf(c_10756,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10741,c_138]) ).
tcf(c_10762,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10739,c_138]) ).
tcf(c_10778,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_8105]) ).
tcf(c_10780,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10778,c_49,c_5662]) ).
tcf(c_10793,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_126,c_8121]) ).
tcf(c_10795,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10793,c_49,c_5447]) ).
tcf(c_10808,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_126,c_8126]) ).
tcf(c_10810,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10808,c_49,c_5404]) ).
tcf(c_10825,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8080,c_127]) ).
tcf(c_10826,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_8080,c_7926]) ).
tcf(c_10827,plain,
( ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_8080,c_128]) ).
tcf(c_10828,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8080,c_84]) ).
tcf(c_10829,plain,
( iLess0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8080,c_96]) ).
tcf(c_10830,plain,
( iLess0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10829,c_66]) ).
tcf(c_10838,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10828,c_66]) ).
tcf(c_10844,plain,
( ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10827,c_66]) ).
tcf(c_10851,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10825,c_66]) ).
tcf(c_10911,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4697,c_79]) ).
tcf(c_10912,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ sdtlseqdt0(sK0(sz00,sz00),X0) ),
inference(superposition,[status(thm)],[c_6152,c_79]) ).
tcf(c_10913,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4693,c_79]) ).
tcf(c_10914,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4694,c_79]) ).
tcf(c_10915,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4695,c_79]) ).
tcf(c_10916,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4696,c_79]) ).
tcf(c_10917,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4698,c_79]) ).
tcf(c_10918,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_4703,c_79]) ).
tcf(c_10919,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_4704,c_79]) ).
tcf(c_10920,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_4705,c_79]) ).
tcf(c_10921,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_4706,c_79]) ).
tcf(c_10922,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4708,c_79]) ).
tcf(c_10923,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xm,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_5356,c_79]) ).
tcf(c_10924,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xp,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_5357,c_79]) ).
tcf(c_10925,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xr,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_5358,c_79]) ).
tcf(c_10926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(xn,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_5365,c_79]) ).
tcf(c_10927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5425,c_79]) ).
tcf(c_10928,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5419,c_79]) ).
tcf(c_10929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_5424,c_79]) ).
tcf(c_10930,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(sK0(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_6151,c_79]) ).
tcf(c_10931,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(sK0(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_6150,c_79]) ).
tcf(c_10932,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(sK0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_6149,c_79]) ).
tcf(c_10933,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ sdtlseqdt0(sK0(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_6148,c_79]) ).
tcf(c_10934,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sK0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ sdtlseqdt0(sK0(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_6147,c_79]) ).
tcf(c_10935,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0) ),
inference(superposition,[status(thm)],[c_6719,c_79]) ).
tcf(c_10936,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz10,X0))
| ( sK0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ sdtlseqdt0(sK0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_6156,c_79]) ).
tcf(c_10937,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( sK0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ sdtlseqdt0(sK0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_6155,c_79]) ).
tcf(c_10938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4697,c_79]) ).
tcf(c_10939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ sdtlseqdt0(X0,sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6152,c_79]) ).
tcf(c_10940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4693,c_79]) ).
tcf(c_10941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4694,c_79]) ).
tcf(c_10942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4695,c_79]) ).
tcf(c_10943,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4696,c_79]) ).
tcf(c_10944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4698,c_79]) ).
tcf(c_10945,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_4703,c_79]) ).
tcf(c_10946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_4704,c_79]) ).
tcf(c_10947,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_4705,c_79]) ).
tcf(c_10948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_4706,c_79]) ).
tcf(c_10949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4708,c_79]) ).
tcf(c_10950,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xn,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_5356,c_79]) ).
tcf(c_10951,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_5357,c_79]) ).
tcf(c_10952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,xr))
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_5358,c_79]) ).
tcf(c_10953,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(sz10,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_5365,c_79]) ).
tcf(c_10954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5425,c_79]) ).
tcf(c_10955,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5419,c_79]) ).
tcf(c_10956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5424,c_79]) ).
tcf(c_10957,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(X0,sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_6151,c_79]) ).
tcf(c_10958,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(X0,sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_6150,c_79]) ).
tcf(c_10959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(X0,sK0(xp,xp)) ),
inference(superposition,[status(thm)],[c_6149,c_79]) ).
tcf(c_10960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ sdtlseqdt0(X0,sK0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6148,c_79]) ).
tcf(c_10961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sK0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ sdtlseqdt0(X0,sK0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6147,c_79]) ).
tcf(c_10962,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6719,c_79]) ).
tcf(c_10963,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xp)
| ( sK0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ sdtlseqdt0(X0,sK0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6156,c_79]) ).
tcf(c_10964,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( sK0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ sdtlseqdt0(X0,sK0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6155,c_79]) ).
tcf(c_10965,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_79,c_127]) ).
tcf(c_10966,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_79,c_7926]) ).
tcf(c_10967,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_79,c_128]) ).
tcf(c_10968,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(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_79,c_84]) ).
tcf(c_10969,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_79,c_96]) ).
tcf(c_10970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10938,c_134]) ).
tcf(c_10975,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10911,c_134]) ).
tcf(c_10980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10949,c_138,c_134]) ).
tcf(c_10985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10948,c_66,c_134]) ).
tcf(c_10990,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10947,c_134,c_51]) ).
tcf(c_10995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10946,c_134,c_50]) ).
tcf(c_11000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10945,c_134,c_49]) ).
tcf(c_11005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10944,c_138,c_134]) ).
tcf(c_11010,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10943,c_66,c_134]) ).
tcf(c_11015,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10942,c_134,c_51]) ).
tcf(c_11020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10941,c_134,c_50]) ).
tcf(c_11025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10940,c_134,c_49]) ).
tcf(c_11030,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10922,c_138,c_134]) ).
tcf(c_11035,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10921,c_66,c_134]) ).
tcf(c_11040,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10920,c_134,c_51]) ).
tcf(c_11045,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10919,c_134,c_50]) ).
tcf(c_11050,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10918,c_134,c_49]) ).
tcf(c_11055,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10917,c_138,c_134]) ).
tcf(c_11060,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10916,c_66,c_134]) ).
tcf(c_11065,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10915,c_134,c_51]) ).
tcf(c_11070,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10914,c_134,c_50]) ).
tcf(c_11075,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10913,c_134,c_49]) ).
tcf(c_11080,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(sz10,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10953,c_138,c_49]) ).
tcf(c_11085,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,xr))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10952,c_66,c_49]) ).
tcf(c_11090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10951,c_51,c_49]) ).
tcf(c_11095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xn,xm))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10950,c_50,c_49]) ).
tcf(c_11100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(xn,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10926,c_138,c_49]) ).
tcf(c_11105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xr,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10925,c_66,c_49]) ).
tcf(c_11110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xp,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10924,c_51,c_49]) ).
tcf(c_11115,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xm,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10923,c_50,c_49]) ).
tcf(c_11120,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xr)
| ( sK0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ sdtlseqdt0(X0,sK0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10964,c_138]) ).
tcf(c_11126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xp)
| ( sK0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ sdtlseqdt0(X0,sK0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10963,c_138]) ).
tcf(c_11132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sz10)
| ( sK0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ sdtlseqdt0(X0,sK0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10961,c_138]) ).
tcf(c_11138,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xr)
| ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ sdtlseqdt0(X0,sK0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10960,c_66]) ).
tcf(c_11144,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),xp)
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(X0,sK0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10959,c_51]) ).
tcf(c_11150,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xm)
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(X0,sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10958,c_50]) ).
tcf(c_11156,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xn)
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(X0,sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10957,c_49]) ).
tcf(c_11162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10954,c_134,c_5404]) ).
tcf(c_11167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz00)
| ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ sdtlseqdt0(X0,sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10939,c_134]) ).
tcf(c_11173,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz10,X0))
| ( sK0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ sdtlseqdt0(sK0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10937,c_138]) ).
tcf(c_11179,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz10,X0))
| ( sK0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xp))
| ~ sdtlseqdt0(sK0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10936,c_138]) ).
tcf(c_11185,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz10,X0))
| ( sK0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ sdtlseqdt0(sK0(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10934,c_138]) ).
tcf(c_11191,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(xr,X0))
| ( sK0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ sdtlseqdt0(sK0(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10933,c_66]) ).
tcf(c_11197,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xp,X0))
| ( sK0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,xp))
| ~ sdtlseqdt0(sK0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10932,c_51]) ).
tcf(c_11203,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(xm,X0))
| ( sK0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ sdtlseqdt0(sK0(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10931,c_50]) ).
tcf(c_11209,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xn,X0))
| ( sK0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ sdtlseqdt0(sK0(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10930,c_49]) ).
tcf(c_11215,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10927,c_134,c_5404]) ).
tcf(c_11220,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sK0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ sdtlseqdt0(sK0(sz00,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10912,c_134]) ).
tcf(c_11226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10956,c_134,c_5404]) ).
tcf(c_11231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10955,c_49,c_5404]) ).
tcf(c_11236,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10929,c_134,c_5404]) ).
tcf(c_11241,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,xm),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10928,c_49,c_5404]) ).
tcf(c_11265,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10962,c_49]) ).
tcf(c_11272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10935,c_49]) ).
tcf(c_11548,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4697,c_81]) ).
tcf(c_11549,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK0(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6152,c_81]) ).
tcf(c_11550,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_4693,c_81]) ).
tcf(c_11551,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_4694,c_81]) ).
tcf(c_11552,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_4695,c_81]) ).
tcf(c_11553,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sz00))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_4696,c_81]) ).
tcf(c_11554,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4698,c_81]) ).
tcf(c_11555,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4703,c_81]) ).
tcf(c_11556,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4704,c_81]) ).
tcf(c_11557,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4705,c_81]) ).
tcf(c_11558,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4706,c_81]) ).
tcf(c_11559,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_4708,c_81]) ).
tcf(c_11560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_5356,c_81]) ).
tcf(c_11561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_5357,c_81]) ).
tcf(c_11562,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,xn))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_5358,c_81]) ).
tcf(c_11563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sz10))
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_5365,c_81]) ).
tcf(c_11564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_5425,c_81]) ).
tcf(c_11565,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(X0,xn))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_5419,c_81]) ).
tcf(c_11566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5424,c_81]) ).
tcf(c_11567,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_6151,c_81]) ).
tcf(c_11568,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_6150,c_81]) ).
tcf(c_11569,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(superposition,[status(thm)],[c_6149,c_81]) ).
tcf(c_11570,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6148,c_81]) ).
tcf(c_11571,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK0(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6147,c_81]) ).
tcf(c_11572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6719,c_81]) ).
tcf(c_11573,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(sz10,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6156,c_81]) ).
tcf(c_11574,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(sz10,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6155,c_81]) ).
tcf(c_11575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4697,c_81]) ).
tcf(c_11576,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6152,c_81]) ).
tcf(c_11577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_4693,c_81]) ).
tcf(c_11578,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_4694,c_81]) ).
tcf(c_11579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_4695,c_81]) ).
tcf(c_11580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_4696,c_81]) ).
tcf(c_11581,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4698,c_81]) ).
tcf(c_11582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4703,c_81]) ).
tcf(c_11583,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4704,c_81]) ).
tcf(c_11584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4705,c_81]) ).
tcf(c_11585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4706,c_81]) ).
tcf(c_11586,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_4708,c_81]) ).
tcf(c_11587,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_5356,c_81]) ).
tcf(c_11588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_5357,c_81]) ).
tcf(c_11589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_5358,c_81]) ).
tcf(c_11590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_5365,c_81]) ).
tcf(c_11591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5425,c_81]) ).
tcf(c_11592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5419,c_81]) ).
tcf(c_11593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5424,c_81]) ).
tcf(c_11594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_6151,c_81]) ).
tcf(c_11595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_6150,c_81]) ).
tcf(c_11596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(superposition,[status(thm)],[c_6149,c_81]) ).
tcf(c_11597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6148,c_81]) ).
tcf(c_11598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6147,c_81]) ).
tcf(c_11599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6719,c_81]) ).
tcf(c_11600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xp)),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6156,c_81]) ).
tcf(c_11601,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xr)),xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6155,c_81]) ).
tcf(c_11602,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_81,c_127]) ).
tcf(c_11603,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_81,c_7926]) ).
tcf(c_11604,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_81,c_128]) ).
tcf(c_11605,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(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_81,c_84]) ).
tcf(c_11606,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_81,c_96]) ).
tcf(c_11607,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11575,c_134]) ).
tcf(c_11612,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sz00))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11548,c_134]) ).
tcf(c_11617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11586,c_138,c_134]) ).
tcf(c_11622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11585,c_66,c_134]) ).
tcf(c_11627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11584,c_134,c_51]) ).
tcf(c_11632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11583,c_134,c_50]) ).
tcf(c_11637,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11582,c_134,c_49]) ).
tcf(c_11642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11581,c_138,c_134]) ).
tcf(c_11647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11580,c_66,c_134]) ).
tcf(c_11652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11579,c_134,c_51]) ).
tcf(c_11657,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11578,c_134,c_50]) ).
tcf(c_11662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11577,c_134,c_49]) ).
tcf(c_11667,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11559,c_138,c_134]) ).
tcf(c_11672,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11558,c_66,c_134]) ).
tcf(c_11677,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11557,c_134,c_51]) ).
tcf(c_11682,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11556,c_134,c_50]) ).
tcf(c_11687,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11555,c_134,c_49]) ).
tcf(c_11692,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sz00))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11554,c_138,c_134]) ).
tcf(c_11697,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sz00))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11553,c_66,c_134]) ).
tcf(c_11702,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sz00))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11552,c_134,c_51]) ).
tcf(c_11707,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sz00))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11551,c_134,c_50]) ).
tcf(c_11712,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sz00))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11550,c_134,c_49]) ).
tcf(c_11717,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11590,c_138,c_49]) ).
tcf(c_11722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11589,c_66,c_49]) ).
tcf(c_11727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11588,c_51,c_49]) ).
tcf(c_11732,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11587,c_50,c_49]) ).
tcf(c_11737,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sz10))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11563,c_138,c_49]) ).
tcf(c_11742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,xn))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11562,c_66,c_49]) ).
tcf(c_11747,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,xn))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11561,c_51,c_49]) ).
tcf(c_11752,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,xn))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11560,c_50,c_49]) ).
tcf(c_11757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xr)),xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11601,c_138]) ).
tcf(c_11763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xp)),xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11600,c_138]) ).
tcf(c_11769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11598,c_138]) ).
tcf(c_11775,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xr)),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11597,c_66]) ).
tcf(c_11781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,xp)),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11596,c_51]) ).
tcf(c_11787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,xm)),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11595,c_50]) ).
tcf(c_11793,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,xn)),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11594,c_49]) ).
tcf(c_11799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11576,c_134]) ).
tcf(c_11805,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(sz10,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11574,c_138]) ).
tcf(c_11811,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(sz10,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11573,c_138]) ).
tcf(c_11817,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK0(sz10,sz10)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11571,c_138]) ).
tcf(c_11823,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(xr,xr)))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11570,c_66]) ).
tcf(c_11829,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(xp,xp)))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11569,c_51]) ).
tcf(c_11835,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(xm,xm)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11568,c_50]) ).
tcf(c_11841,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11567,c_49]) ).
tcf(c_11847,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK0(sz00,sz00)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11549,c_134]) ).
tcf(c_11853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11593,c_134,c_5404]) ).
tcf(c_11858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11566,c_134,c_5404]) ).
tcf(c_11863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11591,c_134,c_5404]) ).
tcf(c_11868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11564,c_134,c_5404]) ).
tcf(c_11873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11592,c_49,c_5404]) ).
tcf(c_11878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(X0,xn))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11565,c_49,c_5404]) ).
tcf(c_11883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11599,c_49]) ).
tcf(c_11890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11572,c_49]) ).
tcf(c_12189,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4821,c_106]) ).
tcf(c_12192,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4816,c_106]) ).
tcf(c_12193,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4817,c_106]) ).
tcf(c_12194,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4818,c_106]) ).
tcf(c_12195,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4819,c_106]) ).
tcf(c_12200,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_4836,c_106]) ).
tcf(c_12201,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_4837,c_106]) ).
tcf(c_12202,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4838,c_106]) ).
tcf(c_12203,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_4839,c_106]) ).
tcf(c_12204,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_4841,c_106]) ).
tcf(c_12205,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_4846,c_106]) ).
tcf(c_12206,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_4847,c_106]) ).
tcf(c_12207,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_4848,c_106]) ).
tcf(c_12208,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_4849,c_106]) ).
tcf(c_12209,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_5420,c_106]) ).
tcf(c_12210,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_5421,c_106]) ).
tcf(c_12212,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5423,c_106]) ).
tcf(c_12214,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5623,c_106]) ).
tcf(c_12216,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5692,c_106]) ).
tcf(c_12218,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtasdt0(sdtpldt0(sz10,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5723,c_106]) ).
tcf(c_12220,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12204,c_139,c_138]) ).
tcf(c_12224,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12208,c_139,c_66,c_138]) ).
tcf(c_12228,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12207,c_139,c_138,c_51]) ).
tcf(c_12232,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12206,c_139,c_138,c_50]) ).
tcf(c_12236,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12205,c_139,c_138,c_49]) ).
tcf(c_12240,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12203,c_66,c_138]) ).
tcf(c_12245,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12202,c_138,c_51]) ).
tcf(c_12250,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12201,c_138,c_50]) ).
tcf(c_12255,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12200,c_138,c_49]) ).
tcf(c_12260,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12195,c_66,c_134]) ).
tcf(c_12265,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12194,c_134,c_51]) ).
tcf(c_12270,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12193,c_134,c_50]) ).
tcf(c_12275,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12192,c_134,c_49]) ).
tcf(c_12280,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12189,c_139,c_138,c_134]) ).
tcf(c_12284,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12218,c_5820,c_134,c_5707]) ).
tcf(c_12288,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12216,c_134,c_5662]) ).
tcf(c_12293,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12214,c_9578,c_134,c_5447]) ).
tcf(c_12297,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12212,c_134,c_5404]) ).
tcf(c_12302,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12209,c_139,c_138,c_5404]) ).
tcf(c_12306,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12210,c_138,c_5404]) ).
tcf(c_12482,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz00 ) ),
inference(superposition,[status(thm)],[c_4831,c_107]) ).
tcf(c_12488,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_4826,c_107]) ).
tcf(c_12489,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_4827,c_107]) ).
tcf(c_12490,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_4828,c_107]) ).
tcf(c_12491,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_4829,c_107]) ).
tcf(c_12492,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xn ) ),
inference(superposition,[status(thm)],[c_4836,c_107]) ).
tcf(c_12493,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xm ) ),
inference(superposition,[status(thm)],[c_4837,c_107]) ).
tcf(c_12494,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xp ) ),
inference(superposition,[status(thm)],[c_4838,c_107]) ).
tcf(c_12495,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xr ) ),
inference(superposition,[status(thm)],[c_4839,c_107]) ).
tcf(c_12496,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz10 ) ),
inference(superposition,[status(thm)],[c_4841,c_107]) ).
tcf(c_12497,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_4846,c_107]) ).
tcf(c_12498,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_4847,c_107]) ).
tcf(c_12499,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xp ) ),
inference(superposition,[status(thm)],[c_4848,c_107]) ).
tcf(c_12500,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != xr ) ),
inference(superposition,[status(thm)],[c_4849,c_107]) ).
tcf(c_12501,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(X0,sdtpldt0(xn,xm)) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_5420,c_107]) ).
tcf(c_12502,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_5421,c_107]) ).
tcf(c_12503,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(X0,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5422,c_107]) ).
tcf(c_12505,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(X0,sdtpldt0(xn,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5622,c_107]) ).
tcf(c_12507,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5691,c_107]) ).
tcf(c_12509,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtasdt0(X0,sdtpldt0(sz10,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5722,c_107]) ).
tcf(c_12512,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12496,c_139,c_138]) ).
tcf(c_12516,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12500,c_66,c_138]) ).
tcf(c_12521,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12499,c_138,c_51]) ).
tcf(c_12526,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12498,c_138,c_50]) ).
tcf(c_12531,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12497,c_138,c_49]) ).
tcf(c_12536,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12495,c_139,c_66,c_138]) ).
tcf(c_12540,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12494,c_139,c_138,c_51]) ).
tcf(c_12544,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12493,c_139,c_138,c_50]) ).
tcf(c_12548,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12492,c_139,c_138,c_49]) ).
tcf(c_12552,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12491,c_66,c_134]) ).
tcf(c_12557,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12490,c_134,c_51]) ).
tcf(c_12562,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12489,c_134,c_50]) ).
tcf(c_12567,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12488,c_134,c_49]) ).
tcf(c_12572,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12482,c_139,c_138,c_134]) ).
tcf(c_12576,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12509,c_5820,c_134,c_5707]) ).
tcf(c_12580,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12507,c_134,c_5662]) ).
tcf(c_12585,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12505,c_9578,c_134,c_5447]) ).
tcf(c_12589,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12503,c_134,c_5404]) ).
tcf(c_12594,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12502,c_139,c_138,c_5404]) ).
tcf(c_12598,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xm)) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12501,c_138,c_5404]) ).
tcf(c_12614,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz10)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_6157,c_81]) ).
tcf(c_12615,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,sz10))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_6157,c_76]) ).
tcf(c_12618,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6157,c_8360]) ).
tcf(c_12623,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,sz10))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6157,c_52]) ).
tcf(c_12624,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sK0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ sdtlseqdt0(sK0(sz00,sz10),X0) ),
inference(superposition,[status(thm)],[c_6157,c_79]) ).
tcf(c_12625,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sK0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ sdtlseqdt0(X0,sK0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_6157,c_79]) ).
tcf(c_12626,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ( sdtpldt0(X0,sK0(sz00,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_6157,c_88]) ).
tcf(c_12627,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ doDivides0(X0,sK0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_6157,c_77]) ).
tcf(c_12628,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK0(sz00,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_6157,c_81]) ).
tcf(c_12629,plain,
! [X0: $i] :
( ( sK0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_6157,c_87]) ).
tcf(c_12630,plain,
! [X0: $i] :
( ( sK0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ( sdtpldt0(sz00,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12629,c_134]) ).
tcf(c_12635,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ doDivides0(X0,sK0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12627,c_134]) ).
tcf(c_12641,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ( sdtpldt0(X0,sK0(sz00,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12626,c_134]) ).
tcf(c_12646,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,sz10))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12615,c_134]) ).
tcf(c_12652,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK0(sz00,sz10)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12628,c_134]) ).
tcf(c_12658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz10)),sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12614,c_134]) ).
tcf(c_12664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sz10)
| ( sK0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ sdtlseqdt0(X0,sK0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12625,c_134]) ).
tcf(c_12670,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sz00,X0))
| ( sK0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ sdtlseqdt0(sK0(sz00,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12624,c_134]) ).
tcf(c_12676,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12618,c_134]) ).
tcf(c_12682,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,sz10))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,sz10)))
| ~ iLess0(sdtpldt0(sz10,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12623,c_134]) ).
tcf(c_12769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xr)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6158,c_81]) ).
tcf(c_12770,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6158,c_76]) ).
tcf(c_12773,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6158,c_8360]) ).
tcf(c_12774,plain,
( ( sK0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_6158,c_86]) ).
tcf(c_12778,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xr))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6158,c_52]) ).
tcf(c_12779,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ sdtlseqdt0(sK0(sz00,xr),X0) ),
inference(superposition,[status(thm)],[c_6158,c_79]) ).
tcf(c_12780,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6158,c_79]) ).
tcf(c_12781,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sdtpldt0(X0,sK0(sz00,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6158,c_88]) ).
tcf(c_12782,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ doDivides0(X0,sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6158,c_77]) ).
tcf(c_12783,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(sz00,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6158,c_81]) ).
tcf(c_12784,plain,
! [X0: $i] :
( ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6158,c_87]) ).
tcf(c_12785,plain,
( ( sK0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12774,c_134]) ).
tcf(c_12789,plain,
! [X0: $i] :
( ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sdtpldt0(sz00,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12784,c_134]) ).
tcf(c_12794,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ doDivides0(X0,sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12782,c_134]) ).
tcf(c_12800,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ( sdtpldt0(X0,sK0(sz00,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12781,c_134]) ).
tcf(c_12805,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12770,c_134]) ).
tcf(c_12811,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(X0,sK0(sz00,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12783,c_134]) ).
tcf(c_12817,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xr)),xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12769,c_134]) ).
tcf(c_12823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xr)
| ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12780,c_134]) ).
tcf(c_12829,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtpldt0(sz00,X0))
| ( sK0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ sdtlseqdt0(sK0(sz00,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12779,c_134]) ).
tcf(c_12835,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12773,c_134]) ).
tcf(c_12841,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xr))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xr)))
| ~ iLess0(sdtpldt0(xr,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12778,c_134]) ).
tcf(c_12854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6159,c_81]) ).
tcf(c_12855,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6159,c_76]) ).
tcf(c_12859,plain,
( ( sK0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( xp != sz00 ) ),
inference(superposition,[status(thm)],[c_6159,c_86]) ).
tcf(c_12863,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xp))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6159,c_52]) ).
tcf(c_12864,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ sdtlseqdt0(sK0(sz00,xp),X0) ),
inference(superposition,[status(thm)],[c_6159,c_79]) ).
tcf(c_12865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ sdtlseqdt0(X0,sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6159,c_79]) ).
tcf(c_12866,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sdtpldt0(X0,sK0(sz00,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_6159,c_88]) ).
tcf(c_12867,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ doDivides0(X0,sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6159,c_77]) ).
tcf(c_12868,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_6159,c_81]) ).
tcf(c_12869,plain,
! [X0: $i] :
( ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6159,c_87]) ).
tcf(c_12870,plain,
( ( sK0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( xp != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12859,c_134]) ).
tcf(c_12874,plain,
! [X0: $i] :
( ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sdtpldt0(sz00,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12869,c_134]) ).
tcf(c_12879,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ doDivides0(X0,sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12867,c_134]) ).
tcf(c_12885,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ( sdtpldt0(X0,sK0(sz00,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12866,c_134]) ).
tcf(c_12890,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12855,c_134]) ).
tcf(c_12896,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(sz00,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12868,c_134]) ).
tcf(c_12902,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xp)),xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12854,c_134]) ).
tcf(c_12908,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xp)
| ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ sdtlseqdt0(X0,sK0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12865,c_134]) ).
tcf(c_12914,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(sz00,X0))
| ( sK0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ sdtlseqdt0(sK0(sz00,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12864,c_134]) ).
tcf(c_12920,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xp))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12863,c_134]) ).
tcf(c_12973,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6160,c_81]) ).
tcf(c_12974,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6160,c_76]) ).
tcf(c_12977,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6160,c_8360]) ).
tcf(c_12978,plain,
( ( sK0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_6160,c_86]) ).
tcf(c_12982,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6160,c_52]) ).
tcf(c_12983,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ sdtlseqdt0(sK0(sz00,xm),X0) ),
inference(superposition,[status(thm)],[c_6160,c_79]) ).
tcf(c_12984,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ sdtlseqdt0(X0,sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6160,c_79]) ).
tcf(c_12985,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sdtpldt0(X0,sK0(sz00,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_6160,c_88]) ).
tcf(c_12986,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ doDivides0(X0,sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6160,c_77]) ).
tcf(c_12987,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6160,c_81]) ).
tcf(c_12988,plain,
! [X0: $i] :
( ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_6160,c_87]) ).
tcf(c_12989,plain,
( ( sK0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12978,c_134]) ).
tcf(c_12993,plain,
! [X0: $i] :
( ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12988,c_134]) ).
tcf(c_12998,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ doDivides0(X0,sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12986,c_134]) ).
tcf(c_13004,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ( sdtpldt0(X0,sK0(sz00,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12985,c_134]) ).
tcf(c_13009,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12974,c_134]) ).
tcf(c_13015,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(X0,sK0(sz00,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12987,c_134]) ).
tcf(c_13021,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xm)),xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12973,c_134]) ).
tcf(c_13027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xm)
| ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ sdtlseqdt0(X0,sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12984,c_134]) ).
tcf(c_13033,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtpldt0(sz00,X0))
| ( sK0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ sdtlseqdt0(sK0(sz00,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12983,c_134]) ).
tcf(c_13039,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12977,c_134]) ).
tcf(c_13045,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xm))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xm)))
| ~ iLess0(sdtpldt0(xm,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12982,c_134]) ).
tcf(c_13117,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(global_subsumption_just,[status(thm)],[c_10966,c_95,c_10966]) ).
tcf(c_13129,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13117,c_95]) ).
tcf(c_13157,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_126,c_13129]) ).
tcf(c_13159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4697,c_13129]) ).
tcf(c_13160,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sK0(sz00,sz00) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6152,c_13129]) ).
tcf(c_13161,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4693,c_13129]) ).
tcf(c_13162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4694,c_13129]) ).
tcf(c_13164,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4696,c_13129]) ).
tcf(c_13165,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4698,c_13129]) ).
tcf(c_13166,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4703,c_13129]) ).
tcf(c_13167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4704,c_13129]) ).
tcf(c_13169,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4706,c_13129]) ).
tcf(c_13170,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4708,c_13129]) ).
tcf(c_13171,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_5356,c_13129]) ).
tcf(c_13172,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_5357,c_13129]) ).
tcf(c_13173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5358,c_13129]) ).
tcf(c_13174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5365,c_13129]) ).
tcf(c_13175,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_5425,c_13129]) ).
tcf(c_13176,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_5419,c_13129]) ).
tcf(c_13177,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5424,c_13129]) ).
tcf(c_13178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sK0(sz00,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_6158,c_13129]) ).
tcf(c_13179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( sK0(xn,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(xn,xn)) ),
inference(superposition,[status(thm)],[c_6151,c_13129]) ).
tcf(c_13180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( sK0(xm,xm) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(xm,xm)) ),
inference(superposition,[status(thm)],[c_6150,c_13129]) ).
tcf(c_13182,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( sK0(xr,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(xr,xr)) ),
inference(superposition,[status(thm)],[c_6148,c_13129]) ).
tcf(c_13183,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtsldt0(xn,xr))
| ( sK0(sz10,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6147,c_13129]) ).
tcf(c_13184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sK0(sz00,xm) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6160,c_13129]) ).
tcf(c_13186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sK0(sz00,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_6157,c_13129]) ).
tcf(c_13187,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6719,c_13129]) ).
tcf(c_13189,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtsldt0(xn,xr))
| ( sK0(sz10,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6155,c_13129]) ).
tcf(c_13190,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13159,c_134,c_4997]) ).
tcf(c_13197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13170,c_138,c_134]) ).
tcf(c_13205,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13169,c_66,c_134]) ).
tcf(c_13213,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13167,c_134,c_50]) ).
tcf(c_13221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13166,c_134,c_49,c_5002]) ).
tcf(c_13228,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13165,c_138,c_134]) ).
tcf(c_13236,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13164,c_66,c_134]) ).
tcf(c_13244,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13162,c_134,c_50]) ).
tcf(c_13252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13161,c_134,c_49,c_5002]) ).
tcf(c_13259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13174,c_138,c_49]) ).
tcf(c_13267,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13173,c_66,c_49]) ).
tcf(c_13275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13172,c_51,c_49]) ).
tcf(c_13283,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13171,c_50,c_49]) ).
tcf(c_13291,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtsldt0(xn,xr))
| ( sK0(sz10,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13189,c_138]) ).
tcf(c_13300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sK0(sz00,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13186,c_134]) ).
tcf(c_13309,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sK0(sz00,xm) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13184,c_134]) ).
tcf(c_13318,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtsldt0(xn,xr))
| ( sK0(sz10,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13183,c_138]) ).
tcf(c_13327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( sK0(xr,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13182,c_66]) ).
tcf(c_13336,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( sK0(xm,xm) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13180,c_50]) ).
tcf(c_13345,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( sK0(xn,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13179,c_49,c_5002]) ).
tcf(c_13353,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sK0(sz00,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13178,c_134]) ).
tcf(c_13362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13175,c_134,c_5404]) ).
tcf(c_13370,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sK0(sz00,sz00) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13160,c_134,c_4997]) ).
tcf(c_13378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13177,c_134,c_5404]) ).
tcf(c_13386,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13176,c_49,c_5404]) ).
tcf(c_13394,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13157,c_49]) ).
tcf(c_13405,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13187,c_49]) ).
tcf(c_13433,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(global_subsumption_just,[status(thm)],[c_11603,c_95,c_11603]) ).
tcf(c_13445,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13433,c_95]) ).
tcf(c_13473,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_126,c_13445]) ).
tcf(c_13475,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4697,c_13445]) ).
tcf(c_13476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz00)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6152,c_13445]) ).
tcf(c_13477,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4693,c_13445]) ).
tcf(c_13478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4694,c_13445]) ).
tcf(c_13480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4696,c_13445]) ).
tcf(c_13481,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4698,c_13445]) ).
tcf(c_13482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4703,c_13445]) ).
tcf(c_13483,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4704,c_13445]) ).
tcf(c_13485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4706,c_13445]) ).
tcf(c_13486,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4708,c_13445]) ).
tcf(c_13487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_5356,c_13445]) ).
tcf(c_13488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_5357,c_13445]) ).
tcf(c_13489,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5358,c_13445]) ).
tcf(c_13490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5365,c_13445]) ).
tcf(c_13491,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5425,c_13445]) ).
tcf(c_13492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_5419,c_13445]) ).
tcf(c_13493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_5424,c_13445]) ).
tcf(c_13494,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6158,c_13445]) ).
tcf(c_13495,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,xn)),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6151,c_13445]) ).
tcf(c_13496,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,xm)),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6150,c_13445]) ).
tcf(c_13498,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xr)),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6148,c_13445]) ).
tcf(c_13499,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6147,c_13445]) ).
tcf(c_13500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6160,c_13445]) ).
tcf(c_13502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6157,c_13445]) ).
tcf(c_13503,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6719,c_13445]) ).
tcf(c_13505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6155,c_13445]) ).
tcf(c_13506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13475,c_134,c_4997]) ).
tcf(c_13513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13486,c_138,c_134]) ).
tcf(c_13521,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13485,c_66,c_134]) ).
tcf(c_13529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xm),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13483,c_134,c_50]) ).
tcf(c_13537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13482,c_134,c_49,c_5002]) ).
tcf(c_13544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13481,c_138,c_134]) ).
tcf(c_13552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13480,c_66,c_134]) ).
tcf(c_13560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13478,c_134,c_50]) ).
tcf(c_13568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13477,c_134,c_49,c_5002]) ).
tcf(c_13575,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13490,c_138,c_49]) ).
tcf(c_13583,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13489,c_66,c_49]) ).
tcf(c_13591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13488,c_51,c_49]) ).
tcf(c_13599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13487,c_50,c_49]) ).
tcf(c_13607,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13505,c_138]) ).
tcf(c_13616,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13502,c_134]) ).
tcf(c_13625,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13500,c_134]) ).
tcf(c_13634,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13499,c_138]) ).
tcf(c_13643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xr)),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13498,c_66]) ).
tcf(c_13652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,xm)),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13496,c_50]) ).
tcf(c_13661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,xn)),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13495,c_49,c_5002]) ).
tcf(c_13669,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13494,c_134]) ).
tcf(c_13678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sz00)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13476,c_134,c_4997]) ).
tcf(c_13686,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13493,c_134,c_5404]) ).
tcf(c_13694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13491,c_134,c_5404]) ).
tcf(c_13702,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13473,c_49]) ).
tcf(c_13713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13503,c_49]) ).
tcf(c_13722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13492,c_49,c_5404]) ).
tcf(c_13905,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_8086,c_127]) ).
tcf(c_13906,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_8086,c_7926]) ).
tcf(c_13907,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_8086,c_128]) ).
tcf(c_13908,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_8086,c_84]) ).
tcf(c_13909,plain,
( iLess0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_8086,c_96]) ).
tcf(c_13911,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13905,c_5404]) ).
tcf(c_13918,plain,
( iLess0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13909,c_5404]) ).
tcf(c_13924,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13908,c_5404]) ).
tcf(c_13929,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13907,c_5404]) ).
tcf(c_13955,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8110,c_127]) ).
tcf(c_13956,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_8110,c_7926]) ).
tcf(c_13957,plain,
( ( xm = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(superposition,[status(thm)],[c_8110,c_128]) ).
tcf(c_13958,plain,
( ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8110,c_84]) ).
tcf(c_13959,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8110,c_96]) ).
tcf(c_13960,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13959,c_138]) ).
tcf(c_13968,plain,
( ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13958,c_138]) ).
tcf(c_13974,plain,
( ( xm = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13957,c_138]) ).
tcf(c_13981,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13955,c_138]) ).
tcf(c_13990,plain,
! [X0: $i] :
( ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_8258,c_1657,c_8258]) ).
tcf(c_13991,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(renaming,[status(thm)],[c_13990]) ).
tcf(c_14003,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_13991]) ).
tcf(c_14006,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4997,c_13991]) ).
tcf(c_14007,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5493,c_13991]) ).
tcf(c_14008,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_5982,c_13991]) ).
tcf(c_14009,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14006,c_134]) ).
tcf(c_14012,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14008,c_66]) ).
tcf(c_14016,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14007,c_138]) ).
tcf(c_14020,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14003,c_49]) ).
tcf(c_14048,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_8138]) ).
tcf(c_14050,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5002,c_8138]) ).
tcf(c_14053,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sz10 = xr )
| ( sz00 = xr )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5982,c_8138]) ).
tcf(c_14054,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14050,c_49]) ).
tcf(c_14060,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sz10 = xr )
| ( sz00 = xr )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14053,c_66]) ).
tcf(c_14067,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14048,c_49]) ).
tcf(c_14079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5619,c_81]) ).
tcf(c_14080,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_5619,c_76]) ).
tcf(c_14081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xn) ),
inference(superposition,[status(thm)],[c_5619,c_13445]) ).
tcf(c_14082,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xn) ),
inference(superposition,[status(thm)],[c_5619,c_13129]) ).
tcf(c_14085,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xn) ),
inference(superposition,[status(thm)],[c_5619,c_8360]) ).
tcf(c_14086,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5619,c_86]) ).
tcf(c_14087,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5619,c_85]) ).
tcf(c_14088,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xn,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5619,c_188]) ).
tcf(c_14089,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5619,c_95]) ).
tcf(c_14090,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xp),xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5619,c_52]) ).
tcf(c_14092,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xp),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5619,c_79]) ).
tcf(c_14093,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5619,c_79]) ).
tcf(c_14094,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_5619,c_88]) ).
tcf(c_14095,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5619,c_77]) ).
tcf(c_14096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sdtpldt0(X0,xn))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_5619,c_81]) ).
tcf(c_14097,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,sdtpldt0(xn,xp)) ) ),
inference(superposition,[status(thm)],[c_5619,c_87]) ).
tcf(c_14098,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_14089,c_49,c_5447]) ).
tcf(c_14099,plain,
sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xn,sdtpldt0(xn,xp))),
inference(forward_subsumption_resolution,[status(thm)],[c_14088,c_49,c_5447]) ).
tcf(c_14103,plain,
sdtpldt0(xn,sdtpldt0(xn,xp)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_14087,c_9578,c_49,c_5447]) ).
tcf(c_14104,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,sdtpldt0(xn,xp)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14097,c_49,c_5447]) ).
tcf(c_14108,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14095,c_49,c_5447]) ).
tcf(c_14113,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14094,c_49,c_5447]) ).
tcf(c_14117,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14080,c_49,c_5447]) ).
tcf(c_14122,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14093,c_49,c_5447]) ).
tcf(c_14127,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sdtpldt0(sdtpldt0(xn,xp),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14092,c_49,c_5447]) ).
tcf(c_14132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sdtpldt0(X0,xn))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14096,c_49,c_5447]) ).
tcf(c_14137,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14079,c_49,c_5447]) ).
tcf(c_14142,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14085,c_49,c_5447]) ).
tcf(c_14147,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sdtpldt0(xn,xp))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xp),xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14090,c_49,c_5447]) ).
tcf(c_14154,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14082,c_49,c_5447]) ).
tcf(c_14162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14081,c_49,c_5447]) ).
tcf(c_14180,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_14219,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_4821,c_102]) ).
tcf(c_14222,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_4816,c_102]) ).
tcf(c_14223,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_4817,c_102]) ).
tcf(c_14224,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_4818,c_102]) ).
tcf(c_14225,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_4819,c_102]) ).
tcf(c_14230,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_4836,c_102]) ).
tcf(c_14231,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_4837,c_102]) ).
tcf(c_14232,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_4838,c_102]) ).
tcf(c_14233,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_4839,c_102]) ).
tcf(c_14234,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4841,c_102]) ).
tcf(c_14235,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_4846,c_102]) ).
tcf(c_14236,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_4847,c_102]) ).
tcf(c_14237,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_4848,c_102]) ).
tcf(c_14238,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_4849,c_102]) ).
tcf(c_14239,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_5420,c_102]) ).
tcf(c_14240,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5421,c_102]) ).
tcf(c_14242,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5423,c_102]) ).
tcf(c_14244,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5623,c_102]) ).
tcf(c_14246,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5692,c_102]) ).
tcf(c_14248,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xn),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5723,c_102]) ).
tcf(c_14249,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_4821,c_102]) ).
tcf(c_14252,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_4816,c_102]) ).
tcf(c_14253,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_4817,c_102]) ).
tcf(c_14254,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_4818,c_102]) ).
tcf(c_14255,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_4819,c_102]) ).
tcf(c_14260,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_4836,c_102]) ).
tcf(c_14261,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_4837,c_102]) ).
tcf(c_14262,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_4838,c_102]) ).
tcf(c_14263,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_4839,c_102]) ).
tcf(c_14264,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4841,c_102]) ).
tcf(c_14265,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_4846,c_102]) ).
tcf(c_14266,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_4847,c_102]) ).
tcf(c_14267,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_4848,c_102]) ).
tcf(c_14268,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_4849,c_102]) ).
tcf(c_14269,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5420,c_102]) ).
tcf(c_14270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5421,c_102]) ).
tcf(c_14272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5423,c_102]) ).
tcf(c_14274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5623,c_102]) ).
tcf(c_14276,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5692,c_102]) ).
tcf(c_14278,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5723,c_102]) ).
tcf(c_14279,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_102,c_127]) ).
tcf(c_14280,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_102,c_7926]) ).
tcf(c_14281,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_102,c_128]) ).
tcf(c_14282,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(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_102,c_84]) ).
tcf(c_14283,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_102,c_96]) ).
tcf(c_14284,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14264,c_139,c_138]) ).
tcf(c_14289,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14234,c_139,c_138]) ).
tcf(c_14294,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14268,c_139,c_66,c_138]) ).
tcf(c_14299,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14267,c_139,c_138,c_51]) ).
tcf(c_14304,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14266,c_139,c_138,c_50]) ).
tcf(c_14309,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14265,c_139,c_138,c_49]) ).
tcf(c_14314,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14263,c_66,c_138]) ).
tcf(c_14320,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14262,c_138,c_51]) ).
tcf(c_14326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14261,c_138,c_50]) ).
tcf(c_14332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14260,c_138,c_49]) ).
tcf(c_14338,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14255,c_66,c_134]) ).
tcf(c_14344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14254,c_134,c_51]) ).
tcf(c_14350,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14253,c_134,c_50]) ).
tcf(c_14356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14252,c_134,c_49]) ).
tcf(c_14362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14249,c_139,c_138,c_134]) ).
tcf(c_14367,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14238,c_139,c_66,c_138]) ).
tcf(c_14372,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14237,c_139,c_138,c_51]) ).
tcf(c_14377,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14236,c_139,c_138,c_50]) ).
tcf(c_14382,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14235,c_139,c_138,c_49]) ).
tcf(c_14387,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14233,c_66,c_138]) ).
tcf(c_14393,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14232,c_138,c_51]) ).
tcf(c_14399,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14231,c_138,c_50]) ).
tcf(c_14405,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14230,c_138,c_49]) ).
tcf(c_14411,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14225,c_66,c_134]) ).
tcf(c_14417,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14224,c_134,c_51]) ).
tcf(c_14423,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14223,c_134,c_50]) ).
tcf(c_14429,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14222,c_134,c_49]) ).
tcf(c_14435,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14219,c_139,c_138,c_134]) ).
tcf(c_14440,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14278,c_5820,c_134,c_5707]) ).
tcf(c_14445,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14276,c_134,c_5662]) ).
tcf(c_14451,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14274,c_9578,c_134,c_5447]) ).
tcf(c_14456,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14272,c_134,c_5404]) ).
tcf(c_14462,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14248,c_5820,c_134,c_5707]) ).
tcf(c_14467,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14246,c_134,c_5662]) ).
tcf(c_14473,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14244,c_9578,c_134,c_5447]) ).
tcf(c_14478,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14242,c_134,c_5404]) ).
tcf(c_14484,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14270,c_138,c_5404]) ).
tcf(c_14490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14269,c_139,c_138,c_5404]) ).
tcf(c_14495,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sdtpldt0(xn,xm),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14240,c_138,c_5404]) ).
tcf(c_14501,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14239,c_139,c_138,c_5404]) ).
tcf(c_14685,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_4831,c_104]) ).
tcf(c_14691,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_4826,c_104]) ).
tcf(c_14692,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_4827,c_104]) ).
tcf(c_14693,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_4828,c_104]) ).
tcf(c_14694,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_4829,c_104]) ).
tcf(c_14695,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_4836,c_104]) ).
tcf(c_14696,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_4837,c_104]) ).
tcf(c_14697,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_4838,c_104]) ).
tcf(c_14698,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_4839,c_104]) ).
tcf(c_14699,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_4841,c_104]) ).
tcf(c_14700,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_4846,c_104]) ).
tcf(c_14701,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_4847,c_104]) ).
tcf(c_14702,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_4848,c_104]) ).
tcf(c_14703,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_4849,c_104]) ).
tcf(c_14704,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5420,c_104]) ).
tcf(c_14705,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_5421,c_104]) ).
tcf(c_14706,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5422,c_104]) ).
tcf(c_14708,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5622,c_104]) ).
tcf(c_14710,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5691,c_104]) ).
tcf(c_14712,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xn)))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5722,c_104]) ).
tcf(c_14715,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_4831,c_104]) ).
tcf(c_14721,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_4826,c_104]) ).
tcf(c_14722,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_4827,c_104]) ).
tcf(c_14723,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_4828,c_104]) ).
tcf(c_14724,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_4829,c_104]) ).
tcf(c_14725,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_4836,c_104]) ).
tcf(c_14726,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_4837,c_104]) ).
tcf(c_14727,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_4838,c_104]) ).
tcf(c_14728,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_4839,c_104]) ).
tcf(c_14729,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_4841,c_104]) ).
tcf(c_14730,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_4846,c_104]) ).
tcf(c_14731,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_4847,c_104]) ).
tcf(c_14732,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_4848,c_104]) ).
tcf(c_14733,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_4849,c_104]) ).
tcf(c_14734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5420,c_104]) ).
tcf(c_14735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5421,c_104]) ).
tcf(c_14736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5422,c_104]) ).
tcf(c_14738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5622,c_104]) ).
tcf(c_14740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5691,c_104]) ).
tcf(c_14742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5722,c_104]) ).
tcf(c_14744,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_104,c_127]) ).
tcf(c_14745,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_104,c_7926]) ).
tcf(c_14746,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_104,c_128]) ).
tcf(c_14747,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(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_104,c_84]) ).
tcf(c_14748,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_104,c_96]) ).
tcf(c_14749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14729,c_139,c_138]) ).
tcf(c_14754,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sz10))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14699,c_139,c_138]) ).
tcf(c_14759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),xr)
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14733,c_66,c_138]) ).
tcf(c_14765,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),xp)
| ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14732,c_138,c_51]) ).
tcf(c_14771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),xm)
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14731,c_138,c_50]) ).
tcf(c_14777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),xn)
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14730,c_138,c_49]) ).
tcf(c_14783,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14728,c_139,c_66,c_138]) ).
tcf(c_14788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14727,c_139,c_138,c_51]) ).
tcf(c_14793,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14726,c_139,c_138,c_50]) ).
tcf(c_14798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14725,c_139,c_138,c_49]) ).
tcf(c_14803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sz00)
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14724,c_66,c_134]) ).
tcf(c_14809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sz00)
| ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14723,c_134,c_51]) ).
tcf(c_14815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sz00)
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14722,c_134,c_50]) ).
tcf(c_14821,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sz00)
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14721,c_134,c_49]) ).
tcf(c_14827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14715,c_139,c_138,c_134]) ).
tcf(c_14832,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14703,c_66,c_138]) ).
tcf(c_14838,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,xp))
| ( xp = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14702,c_138,c_51]) ).
tcf(c_14844,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14701,c_138,c_50]) ).
tcf(c_14850,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14700,c_138,c_49]) ).
tcf(c_14856,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sz10))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14698,c_139,c_66,c_138]) ).
tcf(c_14861,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sz10))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14697,c_139,c_138,c_51]) ).
tcf(c_14866,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sz10))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14696,c_139,c_138,c_50]) ).
tcf(c_14871,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sz10))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14695,c_139,c_138,c_49]) ).
tcf(c_14876,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14694,c_66,c_134]) ).
tcf(c_14882,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xp))
| ( xp = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14693,c_134,c_51]) ).
tcf(c_14888,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14692,c_134,c_50]) ).
tcf(c_14894,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14691,c_134,c_49]) ).
tcf(c_14900,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sz10))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14685,c_139,c_138,c_134]) ).
tcf(c_14905,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14742,c_5820,c_134,c_5707]) ).
tcf(c_14910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14740,c_134,c_5662]) ).
tcf(c_14916,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14738,c_9578,c_134,c_5447]) ).
tcf(c_14921,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14736,c_134,c_5404]) ).
tcf(c_14927,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14712,c_5820,c_134,c_5707]) ).
tcf(c_14932,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14710,c_134,c_5662]) ).
tcf(c_14938,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14708,c_9578,c_134,c_5447]) ).
tcf(c_14943,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14706,c_134,c_5404]) ).
tcf(c_14949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14735,c_139,c_138,c_5404]) ).
tcf(c_14954,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14734,c_138,c_5404]) ).
tcf(c_14960,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14705,c_139,c_138,c_5404]) ).
tcf(c_14965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sdtpldt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14704,c_138,c_5404]) ).
tcf(c_15279,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_54,c_130]) ).
tcf(c_15280,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_67,c_130]) ).
tcf(c_15281,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_70,c_130]) ).
tcf(c_15282,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_74,c_130]) ).
tcf(c_15283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = sz00 )
| ( sdtasdt0(X3,sdtsldt0(sdtpldt0(X0,X1),X2)) = sdtsldt0(sdtasdt0(X3,sdtpldt0(X0,X1)),X2) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X1)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_130]) ).
tcf(c_15284,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X2,sdtsldt0(sdtasdt0(X0,X1),X0)) = sdtsldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_185,c_130]) ).
tcf(c_15285,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK2(X0) = sz00 )
| ( sdtasdt0(X1,sdtsldt0(X0,sK2(X0))) = sdtsldt0(sdtasdt0(X1,X0),sK2(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(X0)) ),
inference(superposition,[status(thm)],[c_116,c_130]) ).
tcf(c_15286,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sK3(X0) = sz00 )
| ( sdtasdt0(X1,sdtsldt0(X0,sK3(X0))) = sdtsldt0(sdtasdt0(X1,X0),sK3(X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK3(X0)) ),
inference(superposition,[status(thm)],[c_121,c_130]) ).
tcf(c_15288,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,xp)) = sdtsldt0(sdtasdt0(X0,sz00),xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4971,c_130]) ).
tcf(c_15289,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sz00,xr)) = sdtsldt0(sdtasdt0(X0,sz00),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4970,c_130]) ).
tcf(c_15290,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sz10)) = sdtsldt0(sdtasdt0(X0,sz00),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4974,c_130]) ).
tcf(c_15291,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,xn)) = sdtsldt0(sdtasdt0(X0,sz00),xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4973,c_130]) ).
tcf(c_15292,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) = sdtsldt0(sdtasdt0(X0,sz00),xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4972,c_130]) ).
tcf(c_15293,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtasdt0(X0,sdtsldt0(xn,xn)) = sdtsldt0(sdtasdt0(X0,xn),xn) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4969,c_130]) ).
tcf(c_15294,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(X0,xr),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4968,c_130]) ).
tcf(c_15295,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(xn,sz10)) = sdtsldt0(sdtasdt0(X0,xn),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5005,c_130]) ).
tcf(c_15296,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(xm,xm)) = sdtsldt0(sdtasdt0(X0,xm),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5194,c_130]) ).
tcf(c_15297,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtasdt0(X0,sdtsldt0(xp,xp)) = sdtsldt0(sdtasdt0(X0,xp),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5204,c_130]) ).
tcf(c_15298,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(xr,sz10)) = sdtsldt0(sdtasdt0(X0,xr),sz10) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5207,c_130]) ).
tcf(c_15299,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sz10,sz10)) = sdtsldt0(sdtasdt0(X0,sz10),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5344,c_130]) ).
tcf(c_15300,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(xm,sz10)) = sdtsldt0(sdtasdt0(X0,xm),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5347,c_130]) ).
tcf(c_15301,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(xp,sz10)) = sdtsldt0(sdtasdt0(X0,xp),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5350,c_130]) ).
tcf(c_15302,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_6105,c_130]) ).
tcf(c_15303,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_6799,c_130]) ).
tcf(c_15304,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_7194,c_130]) ).
tcf(c_15305,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xp))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_7209,c_130]) ).
tcf(c_15306,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_7224,c_130]) ).
tcf(c_15307,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xn))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_7907,c_130]) ).
tcf(c_15308,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz10,sz10)) = sdtsldt0(sdtasdt0(X0,sz10),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15299,c_139,c_138]) ).
tcf(c_15311,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtasdt0(X0,sdtsldt0(xp,xp)) = sdtsldt0(sdtasdt0(X0,xp),xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15297,c_51]) ).
tcf(c_15315,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(xm,xm)) = sdtsldt0(sdtasdt0(X0,xm),xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15296,c_50]) ).
tcf(c_15319,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(xr,xr)) = sdtsldt0(sdtasdt0(X0,xr),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15294,c_66]) ).
tcf(c_15323,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtasdt0(X0,sdtsldt0(xn,xn)) = sdtsldt0(sdtasdt0(X0,xn),xn) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15293,c_49]) ).
tcf(c_15327,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xp,sz10)) = sdtsldt0(sdtasdt0(X0,xp),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15301,c_139,c_138,c_51]) ).
tcf(c_15330,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xm,sz10)) = sdtsldt0(sdtasdt0(X0,xm),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15300,c_139,c_138,c_50]) ).
tcf(c_15333,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xr,sz10)) = sdtsldt0(sdtasdt0(X0,xr),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15298,c_139,c_66,c_138]) ).
tcf(c_15336,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(xn,sz10)) = sdtsldt0(sdtasdt0(X0,xn),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15295,c_139,c_138,c_49]) ).
tcf(c_15339,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) = sdtsldt0(sdtasdt0(X0,sz00),xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15292,c_134,c_50]) ).
tcf(c_15343,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,xn)) = sdtsldt0(sdtasdt0(X0,sz00),xn) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15291,c_134,c_49]) ).
tcf(c_15347,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sz10)) = sdtsldt0(sdtasdt0(X0,sz00),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15290,c_139,c_138,c_134]) ).
tcf(c_15350,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sz00,xr)) = sdtsldt0(sdtasdt0(X0,sz00),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15289,c_66,c_134]) ).
tcf(c_15354,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,xp)) = sdtsldt0(sdtasdt0(X0,sz00),xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15288,c_134,c_51]) ).
tcf(c_15358,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15282,c_66,c_49]) ).
tcf(c_15362,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15280,c_66]) ).
tcf(c_15367,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15302,c_139,c_138,c_5404]) ).
tcf(c_15370,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15281,c_66]) ).
tcf(c_15375,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp) = sdtasdt0(X0,xk) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(light_normalisation,[status(thm)],[c_15279,c_61]) ).
tcf(c_15376,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xp) = sdtasdt0(X0,xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15375,c_51]) ).
tcf(c_15381,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xn))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15307,c_5820,c_134,c_5707]) ).
tcf(c_15384,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15306,c_134,c_5662]) ).
tcf(c_15388,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xp))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15305,c_9578,c_134,c_5447]) ).
tcf(c_15391,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15304,c_134,c_5404]) ).
tcf(c_15395,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15303,c_5404]) ).
tcf(c_15507,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xn,xp))),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,sdtpldt0(xn,xp))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14098,c_90]) ).
tcf(c_15508,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X1),sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14098,c_89]) ).
tcf(c_15509,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X1),X0) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14098,c_110]) ).
tcf(c_15510,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X1),X0) = sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14098,c_93]) ).
tcf(c_15511,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))),X0) = sdtpldt0(xn,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14098,c_195]) ).
tcf(c_15512,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14098,c_111]) ).
tcf(c_15513,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14098,c_94]) ).
tcf(c_15514,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xp))),
inference(superposition,[status(thm)],[c_14098,c_5079]) ).
tcf(c_15515,plain,
sdtasdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xp))) = sdtpldt0(xn,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_14098,c_137]) ).
tcf(c_15516,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sz10) = sdtpldt0(xn,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_14098,c_136]) ).
tcf(c_15517,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp))) = sz00,
inference(superposition,[status(thm)],[c_14098,c_109]) ).
tcf(c_15518,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14098,c_108]) ).
tcf(c_15519,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp))) = sdtpldt0(xn,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_14098,c_92]) ).
tcf(c_15520,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sz00) = sdtpldt0(xn,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_14098,c_91]) ).
tcf(c_15546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6161,c_81]) ).
tcf(c_15547,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6161,c_76]) ).
tcf(c_15548,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xn)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6161,c_13445]) ).
tcf(c_15549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sK0(sz00,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6161,c_13129]) ).
tcf(c_15552,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6161,c_8360]) ).
tcf(c_15553,plain,
( ( sK0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_6161,c_86]) ).
tcf(c_15557,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xn))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6161,c_52]) ).
tcf(c_15558,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ sdtlseqdt0(sK0(sz00,xn),X0) ),
inference(superposition,[status(thm)],[c_6161,c_79]) ).
tcf(c_15559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ sdtlseqdt0(X0,sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6161,c_79]) ).
tcf(c_15560,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sdtpldt0(X0,sK0(sz00,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6161,c_88]) ).
tcf(c_15561,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ doDivides0(X0,sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6161,c_77]) ).
tcf(c_15562,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6161,c_81]) ).
tcf(c_15563,plain,
! [X0: $i] :
( ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6161,c_87]) ).
tcf(c_15564,plain,
( ( sK0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15553,c_134]) ).
tcf(c_15568,plain,
! [X0: $i] :
( ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15563,c_134]) ).
tcf(c_15573,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ doDivides0(X0,sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15561,c_134]) ).
tcf(c_15579,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ( sdtpldt0(X0,sK0(sz00,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15560,c_134]) ).
tcf(c_15584,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15547,c_134]) ).
tcf(c_15590,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(sz00,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15562,c_134]) ).
tcf(c_15596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xn)),xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15546,c_134]) ).
tcf(c_15602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),xn)
| ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ sdtlseqdt0(X0,sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15559,c_134]) ).
tcf(c_15608,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz00,X0))
| ( sK0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ sdtlseqdt0(sK0(sz00,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15558,c_134]) ).
tcf(c_15614,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15552,c_134,c_5002]) ).
tcf(c_15619,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sK0(sz00,xn))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sK0(sz00,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15557,c_134]) ).
tcf(c_15627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,xn)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15548,c_134,c_5002]) ).
tcf(c_15635,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sK0(sz00,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15549,c_134,c_5002]) ).
tcf(c_15649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,xp)),xp)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xp)) ),
inference(superposition,[status(thm)],[c_6168,c_81]) ).
tcf(c_15650,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xp)) ),
inference(superposition,[status(thm)],[c_6168,c_76]) ).
tcf(c_15656,plain,
( ( sK0(xm,xp) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xm,xp))
| ( xp != sz00 ) ),
inference(superposition,[status(thm)],[c_6168,c_86]) ).
tcf(c_15657,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xm,xp))
| ( xp != sz00 ) ),
inference(superposition,[status(thm)],[c_6168,c_85]) ).
tcf(c_15660,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,sK0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xp))
| ~ doDivides0(X0,sdtasdt0(xm,sK0(xm,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6168,c_52]) ).
tcf(c_15661,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xm,X0))
| ( sK0(xm,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xp))
| ~ sdtlseqdt0(sK0(xm,xp),X0) ),
inference(superposition,[status(thm)],[c_6168,c_79]) ).
tcf(c_15662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xp)
| ( sK0(xm,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xp))
| ~ sdtlseqdt0(X0,sK0(xm,xp)) ),
inference(superposition,[status(thm)],[c_6168,c_79]) ).
tcf(c_15663,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xp))
| ( sdtpldt0(X0,sK0(xm,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_6168,c_88]) ).
tcf(c_15664,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xp))
| ~ doDivides0(X0,sK0(xm,xp)) ),
inference(superposition,[status(thm)],[c_6168,c_77]) ).
tcf(c_15665,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(xm,xp)))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,xp)) ),
inference(superposition,[status(thm)],[c_6168,c_81]) ).
tcf(c_15666,plain,
! [X0: $i] :
( ( sK0(xm,xp) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xp))
| ( sdtpldt0(xm,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6168,c_87]) ).
tcf(c_15667,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK0(xm,xp))
| ( xp != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15657,c_50]) ).
tcf(c_15671,plain,
( ( sK0(xm,xp) = sz00 )
| ~ aNaturalNumber0(sK0(xm,xp))
| ( xp != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15656,c_50]) ).
tcf(c_15675,plain,
! [X0: $i] :
( ( sK0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xp))
| ( sdtpldt0(xm,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15666,c_50]) ).
tcf(c_15680,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xp))
| ~ doDivides0(X0,sK0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15664,c_50]) ).
tcf(c_15686,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xp))
| ( sdtpldt0(X0,sK0(xm,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15663,c_50]) ).
tcf(c_15691,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xm,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15650,c_50]) ).
tcf(c_15697,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(xm,xp)))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15665,c_50]) ).
tcf(c_15703,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,xp)),xp)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15649,c_50]) ).
tcf(c_15709,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),xp)
| ( sK0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xp))
| ~ sdtlseqdt0(X0,sK0(xm,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15662,c_50]) ).
tcf(c_15715,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xm,X0))
| ( sK0(xm,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xp))
| ~ sdtlseqdt0(sK0(xm,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15661,c_50]) ).
tcf(c_15721,plain,
! [X0: $i] :
( doDivides0(X0,xm)
| doDivides0(X0,sK0(xm,xp))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,xp))
| ~ doDivides0(X0,sdtasdt0(xm,sK0(xm,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15660,c_50]) ).
tcf(c_15737,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,xp)),xp)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xp)) ),
inference(superposition,[status(thm)],[c_6169,c_81]) ).
tcf(c_15738,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xp)) ),
inference(superposition,[status(thm)],[c_6169,c_76]) ).
tcf(c_15744,plain,
( ( sK0(xn,xp) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,xp))
| ( xp != sz00 ) ),
inference(superposition,[status(thm)],[c_6169,c_86]) ).
tcf(c_15745,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,xp))
| ( xp != sz00 ) ),
inference(superposition,[status(thm)],[c_6169,c_85]) ).
tcf(c_15748,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sK0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xp))
| ~ doDivides0(X0,sdtasdt0(xn,sK0(xn,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6169,c_52]) ).
tcf(c_15749,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xn,X0))
| ( sK0(xn,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xp))
| ~ sdtlseqdt0(sK0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_6169,c_79]) ).
tcf(c_15750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xp)
| ( sK0(xn,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xp))
| ~ sdtlseqdt0(X0,sK0(xn,xp)) ),
inference(superposition,[status(thm)],[c_6169,c_79]) ).
tcf(c_15751,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xp))
| ( sdtpldt0(X0,sK0(xn,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_6169,c_88]) ).
tcf(c_15752,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xp))
| ~ doDivides0(X0,sK0(xn,xp)) ),
inference(superposition,[status(thm)],[c_6169,c_77]) ).
tcf(c_15753,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(xn,xp)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,xp)) ),
inference(superposition,[status(thm)],[c_6169,c_81]) ).
tcf(c_15754,plain,
! [X0: $i] :
( ( sK0(xn,xp) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xp))
| ( sdtpldt0(xn,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6169,c_87]) ).
tcf(c_15755,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(sK0(xn,xp))
| ( xp != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15745,c_49]) ).
tcf(c_15759,plain,
( ( sK0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sK0(xn,xp))
| ( xp != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15744,c_49]) ).
tcf(c_15763,plain,
! [X0: $i] :
( ( sK0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xp))
| ( sdtpldt0(xn,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15754,c_49]) ).
tcf(c_15768,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xp))
| ~ doDivides0(X0,sK0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15752,c_49]) ).
tcf(c_15774,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xp))
| ( sdtpldt0(X0,sK0(xn,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15751,c_49]) ).
tcf(c_15779,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15738,c_49]) ).
tcf(c_15785,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(X0,sK0(xn,xp)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15753,c_49]) ).
tcf(c_15791,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,xp)),xp)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15737,c_49]) ).
tcf(c_15797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),xp)
| ( sK0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xp))
| ~ sdtlseqdt0(X0,sK0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15750,c_49]) ).
tcf(c_15803,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtpldt0(xn,X0))
| ( sK0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xp))
| ~ sdtlseqdt0(sK0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15749,c_49]) ).
tcf(c_15809,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sK0(xn,xp))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,xp))
| ~ doDivides0(X0,sdtasdt0(xn,sK0(xn,xp)))
| ~ iLess0(sdtpldt0(xp,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15748,c_49]) ).
tcf(c_15928,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6283,c_104]) ).
tcf(c_15931,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6283,c_9145]) ).
tcf(c_15936,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz00 = sz10 )
| ( sK1(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ sdtlseqdt0(X0,sK1(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6283,c_102]) ).
tcf(c_15937,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ( sdtasdt0(X0,sK1(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_6283,c_107]) ).
tcf(c_15938,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sK1(sz10,sz10)))
| ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6283,c_104]) ).
tcf(c_15939,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK1(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_6283,c_106]) ).
tcf(c_15940,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK1(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ sdtlseqdt0(sK1(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_6283,c_102]) ).
tcf(c_15941,plain,
! [X0: $i] :
( ( sK1(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15939,c_139,c_138]) ).
tcf(c_15946,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ( sdtasdt0(X0,sK1(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15937,c_138]) ).
tcf(c_15952,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sK1(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ sdtlseqdt0(sK1(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15940,c_139,c_138]) ).
tcf(c_15958,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sK1(sz10,sz10)))
| ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15938,c_138]) ).
tcf(c_15965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sK1(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ sdtlseqdt0(X0,sK1(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15936,c_139,c_138]) ).
tcf(c_15971,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15928,c_138]) ).
tcf(c_15978,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15931,c_138]) ).
tcf(c_16042,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(global_subsumption_just,[status(thm)],[c_14280,c_112,c_14280]) ).
tcf(c_16055,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16042,c_112]) ).
tcf(c_16086,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_126,c_16055]) ).
tcf(c_16088,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4821,c_16055]) ).
tcf(c_16091,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4816,c_16055]) ).
tcf(c_16092,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4817,c_16055]) ).
tcf(c_16093,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4818,c_16055]) ).
tcf(c_16094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4819,c_16055]) ).
tcf(c_16099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4836,c_16055]) ).
tcf(c_16100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4837,c_16055]) ).
tcf(c_16102,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4839,c_16055]) ).
tcf(c_16103,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4841,c_16055]) ).
tcf(c_16104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4846,c_16055]) ).
tcf(c_16105,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4847,c_16055]) ).
tcf(c_16107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4849,c_16055]) ).
tcf(c_16108,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5420,c_16055]) ).
tcf(c_16109,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_5421,c_16055]) ).
tcf(c_16111,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5423,c_16055]) ).
tcf(c_16113,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5623,c_16055]) ).
tcf(c_16115,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5692,c_16055]) ).
tcf(c_16117,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5723,c_16055]) ).
tcf(c_16118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sK1(sz10,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_6283,c_16055]) ).
tcf(c_16119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16103,c_139,c_138]) ).
tcf(c_16127,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16107,c_139,c_66,c_138]) ).
tcf(c_16135,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16105,c_139,c_138,c_50]) ).
tcf(c_16143,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16104,c_139,c_138,c_49,c_5002]) ).
tcf(c_16150,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16102,c_66,c_138]) ).
tcf(c_16159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16100,c_138,c_50]) ).
tcf(c_16168,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16099,c_138,c_49,c_5002]) ).
tcf(c_16176,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16094,c_66,c_134,c_4997]) ).
tcf(c_16184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16093,c_134,c_51,c_4997]) ).
tcf(c_16192,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16092,c_134,c_50,c_4997]) ).
tcf(c_16200,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16091,c_134,c_49,c_4997]) ).
tcf(c_16208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16088,c_139,c_138,c_134,c_4997]) ).
tcf(c_16215,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sK1(sz10,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16118,c_139,c_138]) ).
tcf(c_16224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16117,c_5820,c_134,c_4997,c_5707]) ).
tcf(c_16231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16115,c_134,c_4997,c_5662]) ).
tcf(c_16239,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16113,c_9578,c_134,c_4997,c_5447]) ).
tcf(c_16246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16111,c_134,c_4997,c_5404]) ).
tcf(c_16254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16109,c_138,c_5404]) ).
tcf(c_16263,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16108,c_139,c_138,c_5404]) ).
tcf(c_16271,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16086,c_49]) ).
tcf(c_16369,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(global_subsumption_just,[status(thm)],[c_14745,c_112,c_14745]) ).
tcf(c_16382,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16369,c_112]) ).
tcf(c_16413,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_126,c_16382]) ).
tcf(c_16416,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4831,c_16382]) ).
tcf(c_16422,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4826,c_16382]) ).
tcf(c_16423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4827,c_16382]) ).
tcf(c_16424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4828,c_16382]) ).
tcf(c_16425,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4829,c_16382]) ).
tcf(c_16426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4836,c_16382]) ).
tcf(c_16427,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4837,c_16382]) ).
tcf(c_16429,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4839,c_16382]) ).
tcf(c_16430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4841,c_16382]) ).
tcf(c_16431,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4846,c_16382]) ).
tcf(c_16432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4847,c_16382]) ).
tcf(c_16434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4849,c_16382]) ).
tcf(c_16435,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_5420,c_16382]) ).
tcf(c_16436,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5421,c_16382]) ).
tcf(c_16437,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5422,c_16382]) ).
tcf(c_16439,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5622,c_16382]) ).
tcf(c_16441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5691,c_16382]) ).
tcf(c_16443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5722,c_16382]) ).
tcf(c_16445,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6283,c_16382]) ).
tcf(c_16446,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16430,c_139,c_138]) ).
tcf(c_16454,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16434,c_66,c_138]) ).
tcf(c_16463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16432,c_138,c_50]) ).
tcf(c_16472,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16431,c_138,c_49,c_5002]) ).
tcf(c_16480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16429,c_139,c_66,c_138]) ).
tcf(c_16488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16427,c_139,c_138,c_50]) ).
tcf(c_16496,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16426,c_139,c_138,c_49,c_5002]) ).
tcf(c_16503,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16425,c_66,c_134,c_4997]) ).
tcf(c_16511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16424,c_134,c_51,c_4997]) ).
tcf(c_16519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16423,c_134,c_50,c_4997]) ).
tcf(c_16527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16422,c_134,c_49,c_4997]) ).
tcf(c_16535,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16416,c_139,c_138,c_134,c_4997]) ).
tcf(c_16542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sK1(sz10,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16445,c_138]) ).
tcf(c_16552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16443,c_5820,c_134,c_4997,c_5707]) ).
tcf(c_16559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16441,c_134,c_4997,c_5662]) ).
tcf(c_16567,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16439,c_9578,c_134,c_4997,c_5447]) ).
tcf(c_16574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16437,c_134,c_4997,c_5404]) ).
tcf(c_16582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16436,c_139,c_138,c_5404]) ).
tcf(c_16590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16435,c_138,c_5404]) ).
tcf(c_16599,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16413,c_49]) ).
tcf(c_16702,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8287,c_127]) ).
tcf(c_16704,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_8287,c_128]) ).
tcf(c_16705,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8287,c_84]) ).
tcf(c_16706,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8287,c_96]) ).
tcf(c_16732,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5620,c_104]) ).
tcf(c_16733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_5620,c_16382]) ).
tcf(c_16734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5620,c_16055]) ).
tcf(c_16737,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_5620,c_9145]) ).
tcf(c_16739,plain,
( doDivides0(sz10,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5620,c_185]) ).
tcf(c_16741,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5620,c_100]) ).
tcf(c_16742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xp))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5620,c_102]) ).
tcf(c_16743,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(X0,sdtpldt0(xn,xp)) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_5620,c_107]) ).
tcf(c_16744,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5620,c_104]) ).
tcf(c_16745,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_5620,c_106]) ).
tcf(c_16746,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_5620,c_102]) ).
tcf(c_16747,plain,
doDivides0(sz10,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_16739,c_138,c_5447]) ).
tcf(c_16748,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_16741,c_9578,c_138,c_5447]) ).
tcf(c_16749,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16745,c_139,c_138,c_5447]) ).
tcf(c_16753,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xp)) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16743,c_9578,c_138,c_5447]) ).
tcf(c_16757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16746,c_139,c_138,c_5447]) ).
tcf(c_16762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16744,c_9578,c_138,c_5447]) ).
tcf(c_16767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16742,c_139,c_138,c_5447]) ).
tcf(c_16772,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16732,c_9578,c_138,c_5447]) ).
tcf(c_16777,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16737,c_9578,c_138,c_5447]) ).
tcf(c_16782,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16734,c_139,c_138,c_5447]) ).
tcf(c_16790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16733,c_9578,c_138,c_5447]) ).
tcf(c_16811,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xp),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_16747,c_130]) ).
tcf(c_16812,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xp),sz10)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_16747,c_133]) ).
tcf(c_16814,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_16747,c_99]) ).
tcf(c_16816,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_16747,c_114]) ).
tcf(c_16818,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16816,c_138,c_5447]) ).
tcf(c_16822,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_16814,c_138,c_5447]) ).
tcf(c_16823,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xp),sz10)) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_16812,c_139,c_138,c_5447]) ).
tcf(c_16824,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xp),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16811,c_139,c_138,c_5447]) ).
tcf(c_16839,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_16748,c_127]) ).
tcf(c_16840,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_16748,c_7926]) ).
tcf(c_16841,plain,
( ( sdtpldt0(xn,xp) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz10) ),
inference(superposition,[status(thm)],[c_16748,c_128]) ).
tcf(c_16842,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_16748,c_84]) ).
tcf(c_16843,plain,
( iLess0(sz10,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_16748,c_96]) ).
tcf(c_16844,plain,
( iLess0(sz10,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16843,c_138,c_5447]) ).
tcf(c_16847,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_16842,c_138,c_5447]) ).
tcf(c_16848,plain,
( ( sdtpldt0(xn,xp) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16841,c_138,c_5447]) ).
tcf(c_16851,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16839,c_138,c_5447]) ).
tcf(c_16859,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,xp)),xp)
| ( X0 = xp )
| ( sK1(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,xp)) ),
inference(superposition,[status(thm)],[c_6284,c_104]) ).
tcf(c_16869,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( xp = sz00 )
| ( sK1(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ~ sdtlseqdt0(X0,sK1(xp,xp)) ),
inference(superposition,[status(thm)],[c_6284,c_102]) ).
tcf(c_16870,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ( sdtasdt0(X0,sK1(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_6284,c_107]) ).
tcf(c_16871,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK1(xp,xp)))
| ( X0 = xp )
| ( sK1(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,xp)) ),
inference(superposition,[status(thm)],[c_6284,c_104]) ).
tcf(c_16872,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sK1(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ( sdtasdt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6284,c_106]) ).
tcf(c_16873,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sK1(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ~ sdtlseqdt0(sK1(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_6284,c_102]) ).
tcf(c_16874,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sK1(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ( sdtasdt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16872,c_51]) ).
tcf(c_16880,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ( sdtasdt0(X0,sK1(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16870,c_51]) ).
tcf(c_16886,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sK1(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ~ sdtlseqdt0(sK1(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16873,c_51]) ).
tcf(c_16893,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK1(xp,xp)))
| ( X0 = xp )
| ( sK1(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16871,c_51]) ).
tcf(c_16900,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( xp = sz00 )
| ( sK1(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,xp))
| ~ sdtlseqdt0(X0,sK1(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16869,c_51]) ).
tcf(c_16907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,xp)),xp)
| ( X0 = xp )
| ( sK1(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16859,c_51]) ).
tcf(c_16986,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,xm)),xm)
| ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,xm)) ),
inference(superposition,[status(thm)],[c_6285,c_104]) ).
tcf(c_16987,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,xm)),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6285,c_16382]) ).
tcf(c_16988,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sK1(xm,xm) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xm,xm)) ),
inference(superposition,[status(thm)],[c_6285,c_16055]) ).
tcf(c_16991,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sK1(xm,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6285,c_9145]) ).
tcf(c_16996,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( sK1(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ sdtlseqdt0(X0,sK1(xm,xm)) ),
inference(superposition,[status(thm)],[c_6285,c_102]) ).
tcf(c_16997,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ( sdtasdt0(X0,sK1(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_6285,c_107]) ).
tcf(c_16998,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK1(xm,xm)))
| ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,xm)) ),
inference(superposition,[status(thm)],[c_6285,c_104]) ).
tcf(c_16999,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK1(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_6285,c_106]) ).
tcf(c_17000,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK1(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ sdtlseqdt0(sK1(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_6285,c_102]) ).
tcf(c_17001,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK1(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16999,c_50]) ).
tcf(c_17007,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ( sdtasdt0(X0,sK1(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16997,c_50]) ).
tcf(c_17013,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK1(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ sdtlseqdt0(sK1(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17000,c_50]) ).
tcf(c_17020,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK1(xm,xm)))
| ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16998,c_50]) ).
tcf(c_17027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( sK1(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ sdtlseqdt0(X0,sK1(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16996,c_50]) ).
tcf(c_17034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,xm)),xm)
| ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16986,c_50]) ).
tcf(c_17041,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sK1(xm,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16991,c_50]) ).
tcf(c_17048,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sK1(xm,xm) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16988,c_50]) ).
tcf(c_17058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,xm)),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sK1(xm,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16987,c_50]) ).
tcf(c_17105,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9275,c_84]) ).
tcf(c_17164,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17105,c_49]) ).
tcf(c_17173,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,xr)),xr)
| ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,xr)) ),
inference(superposition,[status(thm)],[c_6286,c_104]) ).
tcf(c_17174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,xr)),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6286,c_16382]) ).
tcf(c_17175,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xr,xr)) ),
inference(superposition,[status(thm)],[c_6286,c_16055]) ).
tcf(c_17178,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sK1(xr,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6286,c_9145]) ).
tcf(c_17183,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ sdtlseqdt0(X0,sK1(xr,xr)) ),
inference(superposition,[status(thm)],[c_6286,c_102]) ).
tcf(c_17184,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ( sdtasdt0(X0,sK1(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6286,c_107]) ).
tcf(c_17185,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK1(xr,xr)))
| ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK1(xr,xr)) ),
inference(superposition,[status(thm)],[c_6286,c_104]) ).
tcf(c_17186,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ( sdtasdt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6286,c_106]) ).
tcf(c_17187,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ sdtlseqdt0(sK1(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_6286,c_102]) ).
tcf(c_17188,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ( sdtasdt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17186,c_66]) ).
tcf(c_17194,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ( sdtasdt0(X0,sK1(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17184,c_66]) ).
tcf(c_17200,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ sdtlseqdt0(sK1(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17187,c_66]) ).
tcf(c_17207,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK1(xr,xr)))
| ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK1(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17185,c_66]) ).
tcf(c_17214,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ sdtlseqdt0(X0,sK1(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17183,c_66]) ).
tcf(c_17221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,xr)),xr)
| ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17173,c_66]) ).
tcf(c_17228,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sK1(xr,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17178,c_66]) ).
tcf(c_17235,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sK1(xr,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17175,c_66]) ).
tcf(c_17245,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,xr)),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sK1(xr,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17174,c_66]) ).
tcf(c_17315,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,xn)),xn)
| ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,xn)) ),
inference(superposition,[status(thm)],[c_6287,c_104]) ).
tcf(c_17316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,xn)),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6287,c_16382]) ).
tcf(c_17317,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sK1(xn,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xn,xn)) ),
inference(superposition,[status(thm)],[c_6287,c_16055]) ).
tcf(c_17320,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sK1(xn,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6287,c_9145]) ).
tcf(c_17325,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( xn = sz00 )
| ( sK1(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ sdtlseqdt0(X0,sK1(xn,xn)) ),
inference(superposition,[status(thm)],[c_6287,c_102]) ).
tcf(c_17326,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ( sdtasdt0(X0,sK1(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6287,c_107]) ).
tcf(c_17327,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK1(xn,xn)))
| ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK1(xn,xn)) ),
inference(superposition,[status(thm)],[c_6287,c_104]) ).
tcf(c_17328,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK1(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ( sdtasdt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6287,c_106]) ).
tcf(c_17329,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK1(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ sdtlseqdt0(sK1(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_6287,c_102]) ).
tcf(c_17330,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK1(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ( sdtasdt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17328,c_49]) ).
tcf(c_17336,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ( sdtasdt0(X0,sK1(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17326,c_49]) ).
tcf(c_17342,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK1(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ sdtlseqdt0(sK1(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17329,c_49]) ).
tcf(c_17349,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK1(xn,xn)))
| ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK1(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17327,c_49]) ).
tcf(c_17356,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( xn = sz00 )
| ( sK1(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ sdtlseqdt0(X0,sK1(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17325,c_49]) ).
tcf(c_17363,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,xn)),xn)
| ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17315,c_49]) ).
tcf(c_17370,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sK1(xn,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17320,c_49,c_5002]) ).
tcf(c_17376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sK1(xn,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17317,c_49,c_5002]) ).
tcf(c_17385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,xn)),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sK1(xn,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17316,c_49,c_5002]) ).
tcf(c_17459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6288,c_104]) ).
tcf(c_17460,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz00,sz00)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6288,c_16382]) ).
tcf(c_17464,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sK1(sz00,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6288,c_9145]) ).
tcf(c_17470,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ( sdtasdt0(X0,sK1(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6288,c_107]) ).
tcf(c_17471,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sz00,sz00)))
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_6288,c_104]) ).
tcf(c_17474,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ( sdtasdt0(X0,sK1(sz00,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17470,c_134]) ).
tcf(c_17480,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sz00,sz00)))
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17471,c_134]) ).
tcf(c_17487,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz00,sz00)),sz00)
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17459,c_134]) ).
tcf(c_17494,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sK1(sz00,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17464,c_134,c_4997]) ).
tcf(c_17500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz00,sz00)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sK1(sz00,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17460,c_134,c_4997]) ).
tcf(c_17524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xp)),xp)
| ( X0 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6289,c_104]) ).
tcf(c_17530,plain,
( ( sz00 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ( xp != sz00 ) ),
inference(superposition,[status(thm)],[c_6289,c_105]) ).
tcf(c_17534,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sz00 = sz10 )
| ( sK1(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ~ sdtlseqdt0(X0,sK1(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6289,c_102]) ).
tcf(c_17535,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ( sdtasdt0(X0,sK1(sz10,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_6289,c_107]) ).
tcf(c_17536,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK1(sz10,xp)))
| ( X0 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xp)) ),
inference(superposition,[status(thm)],[c_6289,c_104]) ).
tcf(c_17537,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK1(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_6289,c_106]) ).
tcf(c_17538,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK1(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ~ sdtlseqdt0(sK1(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_6289,c_102]) ).
tcf(c_17539,plain,
( ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xp))
| ( xp != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17530,c_139,c_138]) ).
tcf(c_17543,plain,
! [X0: $i] :
( ( sK1(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17537,c_139,c_138]) ).
tcf(c_17548,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ( sdtasdt0(X0,sK1(sz10,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17535,c_138]) ).
tcf(c_17554,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sK1(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ~ sdtlseqdt0(sK1(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17538,c_139,c_138]) ).
tcf(c_17560,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sK1(sz10,xp)))
| ( X0 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17536,c_138]) ).
tcf(c_17567,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sK1(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xp))
| ~ sdtlseqdt0(X0,sK1(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17534,c_139,c_138]) ).
tcf(c_17573,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xp)),xp)
| ( X0 = sz10 )
| ( sK1(sz10,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17524,c_138]) ).
tcf(c_17595,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8293,c_127]) ).
tcf(c_17597,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_8293,c_128]) ).
tcf(c_17599,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8293,c_96]) ).
tcf(c_17637,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_126,c_16777]) ).
tcf(c_17639,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17637,c_49,c_5447]) ).
tcf(c_17650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xp))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5621,c_104]) ).
tcf(c_17651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5621,c_16382]) ).
tcf(c_17652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_5621,c_16055]) ).
tcf(c_17655,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_5621,c_9145]) ).
tcf(c_17657,plain,
( doDivides0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5621,c_185]) ).
tcf(c_17659,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5621,c_100]) ).
tcf(c_17660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,xp))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5621,c_102]) ).
tcf(c_17661,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_5621,c_107]) ).
tcf(c_17662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_5621,c_104]) ).
tcf(c_17663,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_5621,c_106]) ).
tcf(c_17664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5621,c_102]) ).
tcf(c_17665,plain,
doDivides0(sdtpldt0(xn,xp),sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_17657,c_138,c_5447]) ).
tcf(c_17666,plain,
sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_17659,c_139,c_138,c_5447]) ).
tcf(c_17667,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17661,c_139,c_138,c_5447]) ).
tcf(c_17671,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17663,c_9578,c_138,c_5447]) ).
tcf(c_17675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17664,c_9578,c_138,c_5447]) ).
tcf(c_17680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17662,c_139,c_138,c_5447]) ).
tcf(c_17685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17660,c_9578,c_138,c_5447]) ).
tcf(c_17690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17650,c_139,c_138,c_5447]) ).
tcf(c_17695,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17655,c_139,c_138,c_5447]) ).
tcf(c_17700,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17652,c_9578,c_138,c_5447]) ).
tcf(c_17708,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17651,c_139,c_138,c_5447]) ).
tcf(c_17743,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_17665,c_130]) ).
tcf(c_17744,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xp),sdtsldt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_17665,c_133]) ).
tcf(c_17746,plain,
( ( sdtasdt0(sdtpldt0(xn,xp),sK1(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_17665,c_99]) ).
tcf(c_17749,plain,
( doDivides0(sdtpldt0(xn,xp),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_17665,c_76]) ).
tcf(c_17750,plain,
sdtasdt0(sdtpldt0(xn,xp),sK1(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17746,c_5447]) ).
tcf(c_17751,plain,
( doDivides0(sdtpldt0(xn,xp),xp)
| ~ doDivides0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17749,c_51,c_49,c_5447]) ).
tcf(c_17754,plain,
sdtasdt0(sdtpldt0(xn,xp),sdtsldt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17744,c_9578,c_5447]) ).
tcf(c_17755,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17743,c_9578,c_5447]) ).
tcf(c_17804,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_17666,c_7926]) ).
tcf(c_17806,plain,
( ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_17666,c_84]) ).
tcf(c_17808,plain,
sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_17806,c_5447]) ).
tcf(c_17810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xm)),xm)
| ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6290,c_104]) ).
tcf(c_17811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6290,c_16382]) ).
tcf(c_17812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sK1(sz10,xm) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6290,c_16055]) ).
tcf(c_17815,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6290,c_9145]) ).
tcf(c_17816,plain,
( ( sz00 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_6290,c_105]) ).
tcf(c_17819,plain,
( sdtlseqdt0(sz10,xm)
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6290,c_100]) ).
tcf(c_17820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sz00 = sz10 )
| ( sK1(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ sdtlseqdt0(X0,sK1(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6290,c_102]) ).
tcf(c_17821,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ( sdtasdt0(X0,sK1(sz10,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_6290,c_107]) ).
tcf(c_17822,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK1(sz10,xm)))
| ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6290,c_104]) ).
tcf(c_17823,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK1(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_6290,c_106]) ).
tcf(c_17824,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK1(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ sdtlseqdt0(sK1(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_6290,c_102]) ).
tcf(c_17825,plain,
( sdtlseqdt0(sz10,xm)
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17819,c_138]) ).
tcf(c_17829,plain,
( ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xm))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17816,c_139,c_138]) ).
tcf(c_17833,plain,
! [X0: $i] :
( ( sK1(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17823,c_139,c_138]) ).
tcf(c_17838,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ( sdtasdt0(X0,sK1(sz10,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17821,c_138]) ).
tcf(c_17844,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sK1(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ sdtlseqdt0(sK1(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17824,c_139,c_138]) ).
tcf(c_17850,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sK1(sz10,xm)))
| ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17822,c_138]) ).
tcf(c_17857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sK1(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ sdtlseqdt0(X0,sK1(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17820,c_139,c_138]) ).
tcf(c_17863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xm)),xm)
| ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17810,c_138]) ).
tcf(c_17870,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17815,c_138]) ).
tcf(c_17877,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17812,c_139,c_138]) ).
tcf(c_17886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17811,c_138]) ).
tcf(c_18010,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xr)),xr)
| ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6291,c_104]) ).
tcf(c_18011,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6291,c_16382]) ).
tcf(c_18012,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sK1(sz10,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6291,c_16055]) ).
tcf(c_18015,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6291,c_9145]) ).
tcf(c_18016,plain,
( ( sz00 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_6291,c_105]) ).
tcf(c_18020,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sz00 = sz10 )
| ( sK1(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6291,c_102]) ).
tcf(c_18021,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ( sdtasdt0(X0,sK1(sz10,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_6291,c_107]) ).
tcf(c_18022,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK1(sz10,xr)))
| ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xr)) ),
inference(superposition,[status(thm)],[c_6291,c_104]) ).
tcf(c_18023,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK1(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_6291,c_106]) ).
tcf(c_18024,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK1(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ sdtlseqdt0(sK1(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_6291,c_102]) ).
tcf(c_18025,plain,
( ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xr))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18016,c_139,c_138]) ).
tcf(c_18029,plain,
! [X0: $i] :
( ( sK1(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18023,c_139,c_138]) ).
tcf(c_18034,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ( sdtasdt0(X0,sK1(sz10,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18021,c_138]) ).
tcf(c_18040,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sK1(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ sdtlseqdt0(sK1(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18024,c_139,c_138]) ).
tcf(c_18046,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sK1(sz10,xr)))
| ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18022,c_138]) ).
tcf(c_18053,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sK1(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18020,c_139,c_138]) ).
tcf(c_18059,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xr)),xr)
| ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18010,c_138]) ).
tcf(c_18066,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18015,c_138]) ).
tcf(c_18073,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sK1(sz10,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18012,c_139,c_138]) ).
tcf(c_18082,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sK1(sz10,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18011,c_138]) ).
tcf(c_18132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xn)),xn)
| ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6292,c_104]) ).
tcf(c_18133,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xn)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6292,c_16382]) ).
tcf(c_18134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sK1(sz10,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6292,c_16055]) ).
tcf(c_18137,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6292,c_9145]) ).
tcf(c_18138,plain,
( ( sz00 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_6292,c_105]) ).
tcf(c_18141,plain,
( sdtlseqdt0(sz10,xn)
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6292,c_100]) ).
tcf(c_18142,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sz00 = sz10 )
| ( sK1(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ sdtlseqdt0(X0,sK1(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6292,c_102]) ).
tcf(c_18143,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ( sdtasdt0(X0,sK1(sz10,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6292,c_107]) ).
tcf(c_18144,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK1(sz10,xn)))
| ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6292,c_104]) ).
tcf(c_18145,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK1(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6292,c_106]) ).
tcf(c_18146,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK1(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ sdtlseqdt0(sK1(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_6292,c_102]) ).
tcf(c_18147,plain,
( sdtlseqdt0(sz10,xn)
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18141,c_138]) ).
tcf(c_18151,plain,
( ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xn))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18138,c_139,c_138]) ).
tcf(c_18155,plain,
! [X0: $i] :
( ( sK1(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18145,c_139,c_138]) ).
tcf(c_18160,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ( sdtasdt0(X0,sK1(sz10,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18143,c_138]) ).
tcf(c_18166,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sK1(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ sdtlseqdt0(sK1(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18146,c_139,c_138]) ).
tcf(c_18172,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK1(sz10,xn)))
| ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18144,c_138]) ).
tcf(c_18179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sK1(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ sdtlseqdt0(X0,sK1(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18142,c_139,c_138]) ).
tcf(c_18185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xn)),xn)
| ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18132,c_138]) ).
tcf(c_18192,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18137,c_138,c_5002]) ).
tcf(c_18198,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18134,c_139,c_138,c_5002]) ).
tcf(c_18206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,xn)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18133,c_138,c_5002]) ).
tcf(c_18274,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6293,c_104]) ).
tcf(c_18275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,sz00)),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6293,c_16382]) ).
tcf(c_18276,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6293,c_16055]) ).
tcf(c_18279,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6293,c_9145]) ).
tcf(c_18280,plain,
( ( xm = sz00 )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6293,c_105]) ).
tcf(c_18283,plain,
( sdtlseqdt0(xm,sz00)
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6293,c_100]) ).
tcf(c_18284,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(X0,sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6293,c_102]) ).
tcf(c_18285,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ( sdtasdt0(X0,sK1(xm,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6293,c_107]) ).
tcf(c_18286,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xm,sz00)))
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6293,c_104]) ).
tcf(c_18287,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6293,c_106]) ).
tcf(c_18288,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sK1(xm,sz00),X0) ),
inference(superposition,[status(thm)],[c_6293,c_102]) ).
tcf(c_18289,plain,
( sdtlseqdt0(xm,sz00)
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18283,c_50]) ).
tcf(c_18293,plain,
( ( xm = sz00 )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18280,c_50]) ).
tcf(c_18297,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18287,c_50]) ).
tcf(c_18303,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ( sdtasdt0(X0,sK1(xm,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18285,c_50]) ).
tcf(c_18309,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(sK1(xm,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18288,c_50]) ).
tcf(c_18316,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xm,sz00)))
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18286,c_50]) ).
tcf(c_18323,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ sdtlseqdt0(X0,sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18284,c_50]) ).
tcf(c_18330,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,sz00)),sz00)
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18274,c_50]) ).
tcf(c_18337,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18279,c_50,c_4997]) ).
tcf(c_18343,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sK1(xm,sz00) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18276,c_50,c_4997]) ).
tcf(c_18352,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xm,sz00)),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18275,c_50,c_4997]) ).
tcf(c_18368,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6294,c_104]) ).
tcf(c_18369,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,sz00)),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6294,c_16382]) ).
tcf(c_18370,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6294,c_16055]) ).
tcf(c_18373,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sK1(xn,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6294,c_9145]) ).
tcf(c_18374,plain,
( ( xn = sz00 )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6294,c_105]) ).
tcf(c_18377,plain,
( sdtlseqdt0(xn,sz00)
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6294,c_100]) ).
tcf(c_18378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(X0,sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6294,c_102]) ).
tcf(c_18379,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ( sdtasdt0(X0,sK1(xn,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6294,c_107]) ).
tcf(c_18380,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xn,sz00)))
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6294,c_104]) ).
tcf(c_18381,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6294,c_106]) ).
tcf(c_18382,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sK1(xn,sz00),X0) ),
inference(superposition,[status(thm)],[c_6294,c_102]) ).
tcf(c_18383,plain,
( sdtlseqdt0(xn,sz00)
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18377,c_49]) ).
tcf(c_18387,plain,
( ( xn = sz00 )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18374,c_49]) ).
tcf(c_18391,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18381,c_49]) ).
tcf(c_18397,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ( sdtasdt0(X0,sK1(xn,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18379,c_49]) ).
tcf(c_18403,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(sK1(xn,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18382,c_49]) ).
tcf(c_18410,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xn,sz00)))
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18380,c_49]) ).
tcf(c_18417,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ sdtlseqdt0(X0,sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18378,c_49]) ).
tcf(c_18424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,sz00)),sz00)
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18368,c_49]) ).
tcf(c_18431,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sK1(xn,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18373,c_49,c_4997]) ).
tcf(c_18437,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sK1(xn,sz00) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18370,c_49,c_4997]) ).
tcf(c_18446,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xn,sz00)),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sK1(xn,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18369,c_49,c_4997]) ).
tcf(c_18462,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sz00)),sz00)
| ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6295,c_104]) ).
tcf(c_18463,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sz00)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6295,c_16382]) ).
tcf(c_18464,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sK1(sz10,sz00) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6295,c_16055]) ).
tcf(c_18467,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6295,c_9145]) ).
tcf(c_18468,plain,
( ( sz00 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6295,c_105]) ).
tcf(c_18471,plain,
( sdtlseqdt0(sz10,sz00)
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6295,c_100]) ).
tcf(c_18472,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sz00 = sz10 )
| ( sK1(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ sdtlseqdt0(X0,sK1(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6295,c_102]) ).
tcf(c_18473,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ( sdtasdt0(X0,sK1(sz10,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6295,c_107]) ).
tcf(c_18474,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sz10,sz00)))
| ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6295,c_104]) ).
tcf(c_18475,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK1(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6295,c_106]) ).
tcf(c_18476,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK1(sz10,sz00) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ sdtlseqdt0(sK1(sz10,sz00),X0) ),
inference(superposition,[status(thm)],[c_6295,c_102]) ).
tcf(c_18477,plain,
( ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18471,c_6483,c_138]) ).
tcf(c_18481,plain,
! [X0: $i] :
( ( sK1(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18475,c_139,c_138]) ).
tcf(c_18486,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ( sdtasdt0(X0,sK1(sz10,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18473,c_138]) ).
tcf(c_18492,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sK1(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ sdtlseqdt0(sK1(sz10,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18476,c_139,c_138]) ).
tcf(c_18498,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sz10,sz00)))
| ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18474,c_138]) ).
tcf(c_18505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sK1(sz10,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ sdtlseqdt0(X0,sK1(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18472,c_139,c_138]) ).
tcf(c_18511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sz00)),sz00)
| ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18462,c_138]) ).
tcf(c_18518,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18467,c_138,c_4997]) ).
tcf(c_18524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sK1(sz10,sz00) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(sz10,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18464,c_139,c_138,c_4997]) ).
tcf(c_18532,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sz00)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sK1(sz10,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18463,c_138,c_4997]) ).
tcf(c_18579,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_17695,c_127]) ).
tcf(c_18580,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_17695,c_7926]) ).
tcf(c_18581,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_17695,c_128]) ).
tcf(c_18582,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_17695,c_84]) ).
tcf(c_18583,plain,
( iLess0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_17695,c_96]) ).
tcf(c_18585,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18579,c_5447]) ).
tcf(c_18592,plain,
( iLess0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18583,c_5447]) ).
tcf(c_18598,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18582,c_5447]) ).
tcf(c_18603,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18581,c_5447]) ).
tcf(c_18632,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8299,c_127]) ).
tcf(c_18634,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_8299,c_128]) ).
tcf(c_18635,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8299,c_84]) ).
tcf(c_18636,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8299,c_96]) ).
tcf(c_18752,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8306,c_127]) ).
tcf(c_18754,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_8306,c_128]) ).
tcf(c_18755,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8306,c_84]) ).
tcf(c_18756,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8306,c_96]) ).
tcf(c_18790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5624,c_81]) ).
tcf(c_18792,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xp)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_5624,c_13445]) ).
tcf(c_18793,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5624,c_13129]) ).
tcf(c_18796,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_5624,c_8360]) ).
tcf(c_18799,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5624,c_188]) ).
tcf(c_18801,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xp)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5624,c_52]) ).
tcf(c_18802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_5624,c_79]) ).
tcf(c_18803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5624,c_79]) ).
tcf(c_18804,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(X0,sdtpldt0(xn,xp)) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_5624,c_88]) ).
tcf(c_18806,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5624,c_81]) ).
tcf(c_18807,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_5624,c_87]) ).
tcf(c_18808,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_18799,c_134,c_5447]) ).
tcf(c_18809,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18807,c_134,c_5447]) ).
tcf(c_18813,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xp)) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18804,c_134,c_5447]) ).
tcf(c_18817,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sdtpldt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18806,c_134,c_5447]) ).
tcf(c_18822,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xp)),sdtpldt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18790,c_134,c_5447]) ).
tcf(c_18827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18803,c_134,c_5447]) ).
tcf(c_18832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18802,c_134,c_5447]) ).
tcf(c_18839,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xp)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18792,c_134,c_5447]) ).
tcf(c_18847,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18793,c_134,c_5447]) ).
tcf(c_18895,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_18808,c_127]) ).
tcf(c_18897,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_18808,c_128]) ).
tcf(c_18898,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_18808,c_84]) ).
tcf(c_18899,plain,
( iLess0(sz00,sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_18808,c_96]) ).
tcf(c_18900,plain,
iLess0(sz00,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_18899,c_9578,c_134,c_5447]) ).
tcf(c_18901,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_18898,c_134,c_5447]) ).
tcf(c_18902,plain,
~ sdtlseqdt0(sdtpldt0(xn,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_18897,c_9578,c_134,c_5447]) ).
tcf(c_18903,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18895,c_134,c_5447]) ).
tcf(c_18909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,sz00)),sz00)
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6296,c_104]) ).
tcf(c_18910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,sz00)),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6296,c_16382]) ).
tcf(c_18911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6296,c_16055]) ).
tcf(c_18914,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sK1(xr,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6296,c_9145]) ).
tcf(c_18915,plain,
( ( sz00 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6296,c_105]) ).
tcf(c_18918,plain,
( sdtlseqdt0(xr,sz00)
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6296,c_100]) ).
tcf(c_18919,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ sdtlseqdt0(X0,sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6296,c_102]) ).
tcf(c_18920,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ( sdtasdt0(X0,sK1(xr,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6296,c_107]) ).
tcf(c_18921,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xr,sz00)))
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(superposition,[status(thm)],[c_6296,c_104]) ).
tcf(c_18922,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6296,c_106]) ).
tcf(c_18923,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ sdtlseqdt0(sK1(xr,sz00),X0) ),
inference(superposition,[status(thm)],[c_6296,c_102]) ).
tcf(c_18924,plain,
( sdtlseqdt0(xr,sz00)
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18918,c_66]) ).
tcf(c_18928,plain,
( ( sz00 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18915,c_66]) ).
tcf(c_18932,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18922,c_66]) ).
tcf(c_18938,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ( sdtasdt0(X0,sK1(xr,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18920,c_66]) ).
tcf(c_18944,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ sdtlseqdt0(sK1(xr,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18923,c_66]) ).
tcf(c_18951,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xr,sz00)))
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18921,c_66]) ).
tcf(c_18958,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ sdtlseqdt0(X0,sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18919,c_66]) ).
tcf(c_18965,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,sz00)),sz00)
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18909,c_66]) ).
tcf(c_18972,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sK1(xr,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18914,c_66,c_4997]) ).
tcf(c_18978,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sK1(xr,sz00) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xr,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18911,c_66,c_4997]) ).
tcf(c_18987,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,sz00)),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sK1(xr,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18910,c_66,c_4997]) ).
tcf(c_19002,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6297,c_104]) ).
tcf(c_19003,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,sz00)),sdtsldt0(xn,xr))
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6297,c_16382]) ).
tcf(c_19004,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( sK1(xp,sz00) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6297,c_16055]) ).
tcf(c_19007,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sK1(xp,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6297,c_9145]) ).
tcf(c_19008,plain,
( ( xp = sz00 )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6297,c_105]) ).
tcf(c_19011,plain,
( sdtlseqdt0(xp,sz00)
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6297,c_100]) ).
tcf(c_19012,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( xp = sz00 )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(X0,sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6297,c_102]) ).
tcf(c_19013,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ( sdtasdt0(X0,sK1(xp,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6297,c_107]) ).
tcf(c_19014,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xp,sz00)))
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(superposition,[status(thm)],[c_6297,c_104]) ).
tcf(c_19015,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6297,c_106]) ).
tcf(c_19016,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sK1(xp,sz00),X0) ),
inference(superposition,[status(thm)],[c_6297,c_102]) ).
tcf(c_19017,plain,
( sdtlseqdt0(xp,sz00)
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19011,c_51]) ).
tcf(c_19021,plain,
( ( xp = sz00 )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19008,c_51]) ).
tcf(c_19025,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19015,c_51]) ).
tcf(c_19031,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ( sdtasdt0(X0,sK1(xp,sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19013,c_51]) ).
tcf(c_19037,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(sK1(xp,sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19016,c_51]) ).
tcf(c_19044,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(xp,sz00)))
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19014,c_51]) ).
tcf(c_19051,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( xp = sz00 )
| ( sK1(xp,sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ sdtlseqdt0(X0,sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19012,c_51]) ).
tcf(c_19058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,sz00)),sz00)
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19002,c_51]) ).
tcf(c_19065,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sK1(xp,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19007,c_51,c_4997]) ).
tcf(c_19071,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( sK1(xp,sz00) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xp,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19004,c_51,c_4997]) ).
tcf(c_19080,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xp,sz00)),sdtsldt0(xn,xr))
| ( X0 = xp )
| ( sK1(xp,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK1(xp,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19003,c_51,c_4997]) ).
tcf(c_19129,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,xn)),xn)
| ( X0 = xr )
| ( sK1(xr,xn) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,xn)) ),
inference(superposition,[status(thm)],[c_6298,c_104]) ).
tcf(c_19130,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,xn)),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6298,c_16382]) ).
tcf(c_19131,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sK1(xr,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xr,xn)) ),
inference(superposition,[status(thm)],[c_6298,c_16055]) ).
tcf(c_19134,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6298,c_9145]) ).
tcf(c_19135,plain,
( ( sz00 = xr )
| ( sK1(xr,xn) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,xn))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_6298,c_105]) ).
tcf(c_19138,plain,
( sdtlseqdt0(xr,xn)
| ( sK1(xr,xn) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,xn)) ),
inference(superposition,[status(thm)],[c_6298,c_100]) ).
tcf(c_19139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xn)
| ( sz00 = xr )
| ( sK1(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ sdtlseqdt0(X0,sK1(xr,xn)) ),
inference(superposition,[status(thm)],[c_6298,c_102]) ).
tcf(c_19140,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK1(xr,xn) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ( sdtasdt0(X0,sK1(xr,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6298,c_107]) ).
tcf(c_19141,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK1(xr,xn)))
| ( X0 = xr )
| ( sK1(xr,xn) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK1(xr,xn)) ),
inference(superposition,[status(thm)],[c_6298,c_104]) ).
tcf(c_19142,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK1(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ( sdtasdt0(xr,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6298,c_106]) ).
tcf(c_19143,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK1(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ sdtlseqdt0(sK1(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_6298,c_102]) ).
tcf(c_19144,plain,
( sdtlseqdt0(xr,xn)
| ( sK1(xr,xn) = sz00 )
| ~ aNaturalNumber0(sK1(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19138,c_66]) ).
tcf(c_19148,plain,
( ( sz00 = xr )
| ( sK1(xr,xn) = sz00 )
| ~ aNaturalNumber0(sK1(xr,xn))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19135,c_66]) ).
tcf(c_19153,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sK1(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ( sdtasdt0(xr,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19142,c_66]) ).
tcf(c_19159,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sK1(xr,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ( sdtasdt0(X0,sK1(xr,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19140,c_66]) ).
tcf(c_19165,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sK1(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ sdtlseqdt0(sK1(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19143,c_66]) ).
tcf(c_19172,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sK1(xr,xn)))
| ( X0 = xr )
| ( sK1(xr,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK1(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19141,c_66]) ).
tcf(c_19179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xn)
| ( sz00 = xr )
| ( sK1(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ sdtlseqdt0(X0,sK1(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19139,c_66]) ).
tcf(c_19186,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,xn)),xn)
| ( X0 = xr )
| ( sK1(xr,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19129,c_66]) ).
tcf(c_19193,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19134,c_66,c_5002]) ).
tcf(c_19199,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sK1(xr,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK1(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19131,c_66,c_5002]) ).
tcf(c_19208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(xr,xn)),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19130,c_66,c_5002]) ).
tcf(c_19224,plain,
~ sdtlseqdt0(xr,sz10),
inference(global_subsumption_just,[status(thm)],[c_6477,c_1661,c_6477]) ).
tcf(c_19228,plain,
~ sdtlseqdt0(xp,sz10),
inference(global_subsumption_just,[status(thm)],[c_6480,c_1635,c_6480]) ).
tcf(c_19240,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_126,c_8404]) ).
tcf(c_19242,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19240,c_49,c_5784]) ).
tcf(c_19255,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_126,c_14142]) ).
tcf(c_19257,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19255,c_49,c_14098]) ).
tcf(c_19276,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18192,c_127]) ).
tcf(c_19277,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_18192,c_7926]) ).
tcf(c_19278,plain,
( ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(superposition,[status(thm)],[c_18192,c_128]) ).
tcf(c_19279,plain,
( ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18192,c_84]) ).
tcf(c_19280,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18192,c_96]) ).
tcf(c_19281,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19280,c_138]) ).
tcf(c_19289,plain,
( ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19279,c_138]) ).
tcf(c_19295,plain,
( ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19278,c_138]) ).
tcf(c_19302,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19276,c_138]) ).
tcf(c_19321,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18337,c_127]) ).
tcf(c_19322,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_18337,c_7926]) ).
tcf(c_19323,plain,
( ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xm) ),
inference(superposition,[status(thm)],[c_18337,c_128]) ).
tcf(c_19324,plain,
( ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18337,c_84]) ).
tcf(c_19325,plain,
( iLess0(xm,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18337,c_96]) ).
tcf(c_19326,plain,
( iLess0(xm,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19325,c_50]) ).
tcf(c_19334,plain,
( ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19324,c_50]) ).
tcf(c_19340,plain,
( ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19323,c_50]) ).
tcf(c_19347,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19321,c_50]) ).
tcf(c_19360,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5625,c_81]) ).
tcf(c_19362,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5625,c_13445]) ).
tcf(c_19363,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_5625,c_13129]) ).
tcf(c_19366,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_5625,c_8360]) ).
tcf(c_19371,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xp),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5625,c_52]) ).
tcf(c_19373,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5625,c_79]) ).
tcf(c_19374,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5625,c_79]) ).
tcf(c_19375,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_5625,c_88]) ).
tcf(c_19377,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_5625,c_81]) ).
tcf(c_19378,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ( sdtpldt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_5625,c_87]) ).
tcf(c_19379,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xp),X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19378,c_134,c_5447]) ).
tcf(c_19383,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19375,c_134,c_5447]) ).
tcf(c_19387,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtpldt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19374,c_134,c_5447]) ).
tcf(c_19392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(sdtpldt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19373,c_134,c_5447]) ).
tcf(c_19397,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19377,c_134,c_5447]) ).
tcf(c_19402,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xp))
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19360,c_134,c_5447]) ).
tcf(c_19409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19363,c_134,c_5447]) ).
tcf(c_19417,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19362,c_134,c_5447]) ).
tcf(c_19454,plain,
~ sdtlseqdt0(xr,sz00),
inference(global_subsumption_just,[status(thm)],[c_6484,c_134,c_66,c_1657,c_4994,c_6056]) ).
tcf(c_19458,plain,
~ sdtlseqdt0(xp,sz00),
inference(global_subsumption_just,[status(thm)],[c_6487,c_134,c_51,c_49,c_55,c_4997,c_5583]) ).
tcf(c_19474,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_9813,c_104]) ).
tcf(c_19475,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz10,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9813,c_16382]) ).
tcf(c_19476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(sz10,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_9813,c_16055]) ).
tcf(c_19479,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(sz10,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9813,c_9145]) ).
tcf(c_19484,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sz00 = sz10 )
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_9813,c_102]) ).
tcf(c_19485,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ( sdtasdt0(X0,sdtsldt0(sz10,sz10)) != sz10 ) ),
inference(superposition,[status(thm)],[c_9813,c_107]) ).
tcf(c_19486,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sdtsldt0(sz10,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10)) ),
inference(superposition,[status(thm)],[c_9813,c_104]) ).
tcf(c_19487,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(superposition,[status(thm)],[c_9813,c_106]) ).
tcf(c_19488,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ sdtlseqdt0(sdtsldt0(sz10,sz10),X0) ),
inference(superposition,[status(thm)],[c_9813,c_102]) ).
tcf(c_19489,plain,
! [X0: $i] :
( ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ( sdtasdt0(sz10,X0) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19487,c_139,c_138]) ).
tcf(c_19494,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ( sdtasdt0(X0,sdtsldt0(sz10,sz10)) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19485,c_138]) ).
tcf(c_19500,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sz10,X0))
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ sdtlseqdt0(sdtsldt0(sz10,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19488,c_139,c_138]) ).
tcf(c_19506,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,sdtsldt0(sz10,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19486,c_138]) ).
tcf(c_19513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz10)
| ( sdtsldt0(sz10,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19484,c_139,c_138]) ).
tcf(c_19519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz10,sz10)),sz10)
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19474,c_138]) ).
tcf(c_19526,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(sz10,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19479,c_138]) ).
tcf(c_19533,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(sz10,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz10,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19476,c_139,c_138]) ).
tcf(c_19542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz10,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(sz10,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19475,c_138]) ).
tcf(c_19559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xp,sz10)),xp)
| ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_9826,c_104]) ).
tcf(c_19565,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( xp != sz00 ) ),
inference(superposition,[status(thm)],[c_9826,c_105]) ).
tcf(c_19569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sz00 = sz10 )
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_9826,c_102]) ).
tcf(c_19570,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sdtasdt0(X0,sdtsldt0(xp,sz10)) != xp ) ),
inference(superposition,[status(thm)],[c_9826,c_107]) ).
tcf(c_19571,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sdtsldt0(xp,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10)) ),
inference(superposition,[status(thm)],[c_9826,c_104]) ).
tcf(c_19572,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(superposition,[status(thm)],[c_9826,c_106]) ).
tcf(c_19573,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ sdtlseqdt0(sdtsldt0(xp,sz10),X0) ),
inference(superposition,[status(thm)],[c_9826,c_102]) ).
tcf(c_19574,plain,
( ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( xp != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19565,c_139,c_138]) ).
tcf(c_19578,plain,
! [X0: $i] :
( ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sdtasdt0(sz10,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19572,c_139,c_138]) ).
tcf(c_19583,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ( sdtasdt0(X0,sdtsldt0(xp,sz10)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19570,c_138]) ).
tcf(c_19589,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(sz10,X0))
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ sdtlseqdt0(sdtsldt0(xp,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19573,c_139,c_138]) ).
tcf(c_19595,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sdtsldt0(xp,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19571,c_138]) ).
tcf(c_19602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xp)
| ( sdtsldt0(xp,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19569,c_139,c_138]) ).
tcf(c_19608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xp,sz10)),xp)
| ( X0 = sz10 )
| ( sdtsldt0(xp,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xp,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19559,c_138]) ).
tcf(c_19649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,sz10)),xm)
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_9827,c_104]) ).
tcf(c_19650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9827,c_16382]) ).
tcf(c_19651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xm,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_9827,c_16055]) ).
tcf(c_19654,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9827,c_9145]) ).
tcf(c_19655,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( xm != sz00 ) ),
inference(superposition,[status(thm)],[c_9827,c_105]) ).
tcf(c_19658,plain,
( sdtlseqdt0(sz10,xm)
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_9827,c_100]) ).
tcf(c_19659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sz00 = sz10 )
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_9827,c_102]) ).
tcf(c_19660,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sdtasdt0(X0,sdtsldt0(xm,sz10)) != xm ) ),
inference(superposition,[status(thm)],[c_9827,c_107]) ).
tcf(c_19661,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sdtsldt0(xm,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_9827,c_104]) ).
tcf(c_19662,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(superposition,[status(thm)],[c_9827,c_106]) ).
tcf(c_19663,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ sdtlseqdt0(sdtsldt0(xm,sz10),X0) ),
inference(superposition,[status(thm)],[c_9827,c_102]) ).
tcf(c_19664,plain,
( sdtlseqdt0(sz10,xm)
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19658,c_138]) ).
tcf(c_19668,plain,
( ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( xm != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19655,c_139,c_138]) ).
tcf(c_19672,plain,
! [X0: $i] :
( ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sdtasdt0(sz10,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19662,c_139,c_138]) ).
tcf(c_19677,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ( sdtasdt0(X0,sdtsldt0(xm,sz10)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19660,c_138]) ).
tcf(c_19683,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(sz10,X0))
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ sdtlseqdt0(sdtsldt0(xm,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19663,c_139,c_138]) ).
tcf(c_19689,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sdtsldt0(xm,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19661,c_138]) ).
tcf(c_19696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xm)
| ( sdtsldt0(xm,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19659,c_139,c_138]) ).
tcf(c_19702,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,sz10)),xm)
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19649,c_138]) ).
tcf(c_19709,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19654,c_138]) ).
tcf(c_19716,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19651,c_139,c_138]) ).
tcf(c_19725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19650,c_138]) ).
tcf(c_19848,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,sz10)),xr)
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_9828,c_104]) ).
tcf(c_19849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9828,c_16382]) ).
tcf(c_19850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xr,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_9828,c_16055]) ).
tcf(c_19853,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xr,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9828,c_9145]) ).
tcf(c_19854,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sz00 != xr ) ),
inference(superposition,[status(thm)],[c_9828,c_105]) ).
tcf(c_19858,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sz00 = sz10 )
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_9828,c_102]) ).
tcf(c_19859,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sdtasdt0(X0,sdtsldt0(xr,sz10)) != xr ) ),
inference(superposition,[status(thm)],[c_9828,c_107]) ).
tcf(c_19860,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sdtsldt0(xr,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(superposition,[status(thm)],[c_9828,c_104]) ).
tcf(c_19861,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(superposition,[status(thm)],[c_9828,c_106]) ).
tcf(c_19862,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ sdtlseqdt0(sdtsldt0(xr,sz10),X0) ),
inference(superposition,[status(thm)],[c_9828,c_102]) ).
tcf(c_19863,plain,
( ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sz00 != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19854,c_139,c_138]) ).
tcf(c_19867,plain,
! [X0: $i] :
( ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sdtasdt0(sz10,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19861,c_139,c_138]) ).
tcf(c_19872,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ( sdtasdt0(X0,sdtsldt0(xr,sz10)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19859,c_138]) ).
tcf(c_19878,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(sz10,X0))
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ sdtlseqdt0(sdtsldt0(xr,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19862,c_139,c_138]) ).
tcf(c_19884,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sdtsldt0(xr,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19860,c_138]) ).
tcf(c_19891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xr)
| ( sdtsldt0(xr,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19858,c_139,c_138]) ).
tcf(c_19897,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,sz10)),xr)
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19848,c_138]) ).
tcf(c_19904,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xr,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19853,c_138]) ).
tcf(c_19911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xr,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19850,c_139,c_138]) ).
tcf(c_19920,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xr,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19849,c_138]) ).
tcf(c_19937,plain,
( ~ aNaturalNumber0(sK1(xr,sz00))
| ( sK1(xr,sz00) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_18972,c_1657,c_18928]) ).
tcf(c_19938,plain,
( ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xr,sz00)) ),
inference(renaming,[status(thm)],[c_19937]) ).
tcf(c_19943,plain,
( ( sK1(xr,sz00) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ doDivides0(xr,sz00) ),
inference(superposition,[status(thm)],[c_98,c_19938]) ).
tcf(c_19944,plain,
sK1(xr,sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_19943,c_66,c_134,c_4970]) ).
tcf(c_19946,plain,
( ~ aNaturalNumber0(sK1(xp,sz00))
| ( sK1(xp,sz00) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_19065,c_1631,c_19021]) ).
tcf(c_19947,plain,
( ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xp,sz00)) ),
inference(renaming,[status(thm)],[c_19946]) ).
tcf(c_19952,plain,
( ( sK1(xp,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ doDivides0(xp,sz00) ),
inference(superposition,[status(thm)],[c_98,c_19947]) ).
tcf(c_19953,plain,
sK1(xp,sz00) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_19952,c_134,c_51,c_4971]) ).
tcf(c_19965,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19193,c_127]) ).
tcf(c_19966,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_19193,c_7926]) ).
tcf(c_19967,plain,
( ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_19193,c_128]) ).
tcf(c_19968,plain,
( ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19193,c_84]) ).
tcf(c_19969,plain,
( iLess0(xr,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19193,c_96]) ).
tcf(c_19970,plain,
( iLess0(xr,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19969,c_66]) ).
tcf(c_19978,plain,
( ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19968,c_66]) ).
tcf(c_19984,plain,
( ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19967,c_66]) ).
tcf(c_19991,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19965,c_66]) ).
tcf(c_20014,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_127]) ).
tcf(c_20015,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7926]) ).
tcf(c_20016,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_128]) ).
tcf(c_20017,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_84]) ).
tcf(c_20018,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_96]) ).
tcf(c_20019,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_6493]) ).
tcf(c_20020,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_8138]) ).
tcf(c_20022,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_8012]) ).
tcf(c_20026,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_127]) ).
tcf(c_20027,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7926]) ).
tcf(c_20028,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_128]) ).
tcf(c_20029,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_84]) ).
tcf(c_20030,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_96]) ).
tcf(c_20031,plain,
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_6483]) ).
tcf(c_20034,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_6490]) ).
tcf(c_20036,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_19454]) ).
tcf(c_20037,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_8138]) ).
tcf(c_20038,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_13991]) ).
tcf(c_20039,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_8012]) ).
tcf(c_20042,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_19224]) ).
tcf(c_20043,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_8313,c_18902]) ).
tcf(c_20044,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_8313,c_13445]) ).
tcf(c_20045,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_8313,c_13129]) ).
tcf(c_20046,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_8313,c_8360]) ).
tcf(c_20047,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_8313,c_16382]) ).
tcf(c_20048,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_8313,c_16055]) ).
tcf(c_20049,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_8313,c_9145]) ).
tcf(c_20050,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_8313,c_8126]) ).
tcf(c_20051,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_8313,c_16777]) ).
tcf(c_20052,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_8313,c_8121]) ).
tcf(c_20053,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_8105]) ).
tcf(c_20054,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_8313,c_8338]) ).
tcf(c_20055,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_8313,c_9120]) ).
tcf(c_20056,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_8313,c_8404]) ).
tcf(c_20057,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_8313,c_14142]) ).
tcf(c_20058,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_127]) ).
tcf(c_20060,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_8313,c_128]) ).
tcf(c_20061,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_84]) ).
tcf(c_20062,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_96]) ).
tcf(c_20068,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(equality_factoring,[status(thm)],[c_8313]) ).
tcf(c_20069,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(equality_factoring,[status(thm)],[c_8313]) ).
tcf(c_20074,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20068,c_49]) ).
tcf(c_20079,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20042,c_66,c_138]) ).
tcf(c_20086,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20043,c_134,c_5447]) ).
tcf(c_20092,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20019,c_134]) ).
tcf(c_20130,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20053,c_49,c_5662]) ).
tcf(c_20136,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20052,c_49,c_5447]) ).
tcf(c_20142,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20051,c_49,c_5447]) ).
tcf(c_20148,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20050,c_49,c_5404]) ).
tcf(c_20195,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20018,c_49]) ).
tcf(c_20205,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20039,c_49]) ).
tcf(c_20214,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20022,c_49]) ).
tcf(c_20223,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20017,c_49]) ).
tcf(c_20231,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20016,c_49]) ).
tcf(c_20240,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20038,c_49]) ).
tcf(c_20247,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20015,c_49]) ).
tcf(c_20256,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20037,c_49]) ).
tcf(c_20265,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20020,c_49]) ).
tcf(c_20274,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20014,c_49]) ).
tcf(c_20372,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_8313,c_9241]) ).
tcf(c_20373,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_126,c_9241]) ).
tcf(c_20375,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20373,c_49,c_5404]) ).
tcf(c_20381,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20372,c_49,c_5404]) ).
tcf(c_20390,plain,
sdtpldt0(xn,xr) != sz00,
inference(global_subsumption_just,[status(thm)],[c_5664,c_1657,c_5664]) ).
tcf(c_20394,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,sz10)),xn)
| ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_9829,c_104]) ).
tcf(c_20395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_9829,c_16382]) ).
tcf(c_20396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_9829,c_16055]) ).
tcf(c_20399,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_9829,c_9145]) ).
tcf(c_20400,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( xn != sz00 ) ),
inference(superposition,[status(thm)],[c_9829,c_105]) ).
tcf(c_20403,plain,
( sdtlseqdt0(sz10,xn)
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_9829,c_100]) ).
tcf(c_20404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sz00 = sz10 )
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_9829,c_102]) ).
tcf(c_20405,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sdtasdt0(X0,sdtsldt0(xn,sz10)) != xn ) ),
inference(superposition,[status(thm)],[c_9829,c_107]) ).
tcf(c_20406,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtsldt0(xn,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_9829,c_104]) ).
tcf(c_20407,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_9829,c_106]) ).
tcf(c_20408,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(sdtsldt0(xn,sz10),X0) ),
inference(superposition,[status(thm)],[c_9829,c_102]) ).
tcf(c_20409,plain,
( sdtlseqdt0(sz10,xn)
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20403,c_138]) ).
tcf(c_20413,plain,
( ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( xn != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20400,c_139,c_138]) ).
tcf(c_20417,plain,
! [X0: $i] :
( ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sdtasdt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20407,c_139,c_138]) ).
tcf(c_20422,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ( sdtasdt0(X0,sdtsldt0(xn,sz10)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20405,c_138]) ).
tcf(c_20428,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sz10,X0))
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(sdtsldt0(xn,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20408,c_139,c_138]) ).
tcf(c_20434,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtsldt0(xn,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20406,c_138]) ).
tcf(c_20441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),xn)
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20404,c_139,c_138]) ).
tcf(c_20447,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,sz10)),xn)
| ( X0 = sz10 )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20394,c_138]) ).
tcf(c_20454,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20399,c_138,c_5002]) ).
tcf(c_20460,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20396,c_139,c_138,c_5002]) ).
tcf(c_20468,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20395,c_138,c_5002]) ).
tcf(c_20484,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sz10)),sz00)
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_9836,c_104]) ).
tcf(c_20485,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9836,c_16382]) ).
tcf(c_20486,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(sz00,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_9836,c_16055]) ).
tcf(c_20489,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(sz00,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9836,c_9145]) ).
tcf(c_20490,plain,
( ( sz00 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_9836,c_105]) ).
tcf(c_20493,plain,
( sdtlseqdt0(sz10,sz00)
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_9836,c_100]) ).
tcf(c_20494,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sz00 = sz10 )
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_9836,c_102]) ).
tcf(c_20495,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ( sdtasdt0(X0,sdtsldt0(sz00,sz10)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9836,c_107]) ).
tcf(c_20496,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(superposition,[status(thm)],[c_9836,c_104]) ).
tcf(c_20497,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9836,c_106]) ).
tcf(c_20498,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ sdtlseqdt0(sdtsldt0(sz00,sz10),X0) ),
inference(superposition,[status(thm)],[c_9836,c_102]) ).
tcf(c_20499,plain,
( ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20493,c_6483,c_138]) ).
tcf(c_20503,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ( sdtasdt0(sz10,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20497,c_139,c_138]) ).
tcf(c_20508,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ( sdtasdt0(X0,sdtsldt0(sz00,sz10)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20495,c_138]) ).
tcf(c_20514,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sz10,X0))
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ sdtlseqdt0(sdtsldt0(sz00,sz10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20498,c_139,c_138]) ).
tcf(c_20520,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,sz10)))
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20496,c_138]) ).
tcf(c_20527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sz00)
| ( sdtsldt0(sz00,sz10) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20494,c_139,c_138]) ).
tcf(c_20533,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sz10)),sz00)
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20484,c_138]) ).
tcf(c_20540,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(sz00,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20489,c_138,c_4997]) ).
tcf(c_20546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(sz00,sz10) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20486,c_139,c_138,c_4997]) ).
tcf(c_20554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,sz10)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(sz00,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20485,c_138,c_4997]) ).
tcf(c_20682,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_5785,c_127]) ).
tcf(c_20683,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_5785,c_7926]) ).
tcf(c_20684,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5785,c_128]) ).
tcf(c_20685,plain,
( ( sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtpldt0(xn,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_5785,c_84]) ).
tcf(c_20686,plain,
( iLess0(sdtpldt0(xn,xm),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sdtpldt0(xn,xm) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_5785,c_96]) ).
tcf(c_20687,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20682,c_5404,c_5784]) ).
tcf(c_20691,plain,
( iLess0(sdtpldt0(xn,xm),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20686,c_5404,c_5784]) ).
tcf(c_20694,plain,
sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtpldt0(xn,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_20685,c_5404,c_5784]) ).
tcf(c_20695,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sdtpldt0(xn,xm) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20684,c_5404,c_5784]) ).
tcf(c_20700,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_14099,c_127]) ).
tcf(c_20701,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xn) ),
inference(superposition,[status(thm)],[c_14099,c_7926]) ).
tcf(c_20702,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_14099,c_128]) ).
tcf(c_20703,plain,
( ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtpldt0(xn,sdtpldt0(xn,xp)))) = sdtpldt0(xn,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_14099,c_84]) ).
tcf(c_20704,plain,
( iLess0(sdtpldt0(xn,xp),sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_14099,c_96]) ).
tcf(c_20705,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20700,c_5447,c_14098]) ).
tcf(c_20709,plain,
( iLess0(sdtpldt0(xn,xp),sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20704,c_5447,c_14098]) ).
tcf(c_20712,plain,
sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtpldt0(xn,sdtpldt0(xn,xp)))) = sdtpldt0(xn,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_20703,c_5447,c_14098]) ).
tcf(c_20713,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20702,c_5447,c_14098]) ).
tcf(c_20718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5689,c_104]) ).
tcf(c_20719,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5689,c_16382]) ).
tcf(c_20720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5689,c_16055]) ).
tcf(c_20723,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5689,c_9145]) ).
tcf(c_20725,plain,
( doDivides0(sz10,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5689,c_185]) ).
tcf(c_20727,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5689,c_100]) ).
tcf(c_20728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5689,c_102]) ).
tcf(c_20729,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_5689,c_107]) ).
tcf(c_20730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5689,c_104]) ).
tcf(c_20731,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_5689,c_106]) ).
tcf(c_20732,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_5689,c_102]) ).
tcf(c_20733,plain,
doDivides0(sz10,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_20725,c_138,c_5662]) ).
tcf(c_20734,plain,
sdtlseqdt0(sz10,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_20727,c_20390,c_138,c_5662]) ).
tcf(c_20735,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20731,c_139,c_138,c_5662]) ).
tcf(c_20739,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20729,c_20390,c_138,c_5662]) ).
tcf(c_20743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20732,c_139,c_138,c_5662]) ).
tcf(c_20748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20730,c_20390,c_138,c_5662]) ).
tcf(c_20753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20728,c_139,c_138,c_5662]) ).
tcf(c_20758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20718,c_20390,c_138,c_5662]) ).
tcf(c_20763,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20723,c_20390,c_138,c_5662]) ).
tcf(c_20768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20720,c_139,c_138,c_5662]) ).
tcf(c_20776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20719,c_20390,c_138,c_5662]) ).
tcf(c_20799,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_20763]) ).
tcf(c_20800,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_20763]) ).
tcf(c_20802,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20800,c_49,c_5662]) ).
tcf(c_20807,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20799,c_49,c_5662]) ).
tcf(c_20894,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_20454,c_127]) ).
tcf(c_20895,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_20454,c_7926]) ).
tcf(c_20896,plain,
( ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(superposition,[status(thm)],[c_20454,c_128]) ).
tcf(c_20897,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_20454,c_84]) ).
tcf(c_20898,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_20454,c_96]) ).
tcf(c_20899,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20898,c_138]) ).
tcf(c_20907,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20897,c_138]) ).
tcf(c_20913,plain,
( ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20896,c_138]) ).
tcf(c_20920,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20894,c_138]) ).
tcf(c_20929,plain,
sdtsldt0(sz00,sz10) = sz00,
inference(global_subsumption_just,[status(thm)],[c_20540,c_138,c_134,c_139,c_144,c_161,c_4974,c_5201,c_7183,c_20499]) ).
tcf(c_20951,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17870,c_127]) ).
tcf(c_20952,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_17870,c_7926]) ).
tcf(c_20953,plain,
( ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(superposition,[status(thm)],[c_17870,c_128]) ).
tcf(c_20954,plain,
( ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17870,c_84]) ).
tcf(c_20955,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17870,c_96]) ).
tcf(c_20956,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20955,c_138]) ).
tcf(c_20965,plain,
( ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20954,c_138]) ).
tcf(c_20972,plain,
( ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20953,c_138]) ).
tcf(c_20980,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20951,c_138]) ).
tcf(c_20992,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5688,c_81]) ).
tcf(c_20993,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_5688,c_76]) ).
tcf(c_20994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_5688,c_13445]) ).
tcf(c_20995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_5688,c_13129]) ).
tcf(c_20998,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_5688,c_8360]) ).
tcf(c_20999,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5688,c_86]) ).
tcf(c_21000,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5688,c_85]) ).
tcf(c_21001,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5688,c_188]) ).
tcf(c_21002,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5688,c_95]) ).
tcf(c_21003,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xr),xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5688,c_52]) ).
tcf(c_21005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5688,c_79]) ).
tcf(c_21006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5688,c_79]) ).
tcf(c_21007,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_5688,c_88]) ).
tcf(c_21008,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5688,c_77]) ).
tcf(c_21009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(X0,xn))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_5688,c_81]) ).
tcf(c_21010,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,sdtpldt0(xn,xr)) ) ),
inference(superposition,[status(thm)],[c_5688,c_87]) ).
tcf(c_21011,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_21002,c_49,c_5662]) ).
tcf(c_21012,plain,
sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(forward_subsumption_resolution,[status(thm)],[c_21001,c_49,c_5662]) ).
tcf(c_21016,plain,
sdtpldt0(xn,sdtpldt0(xn,xr)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_21000,c_20390,c_49,c_5662]) ).
tcf(c_21017,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,sdtpldt0(xn,xr)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21010,c_49,c_5662]) ).
tcf(c_21021,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21008,c_49,c_5662]) ).
tcf(c_21026,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21007,c_49,c_5662]) ).
tcf(c_21030,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20993,c_49,c_5662]) ).
tcf(c_21035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21006,c_49,c_5662]) ).
tcf(c_21040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21005,c_49,c_5662]) ).
tcf(c_21045,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(X0,xn))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21009,c_49,c_5662]) ).
tcf(c_21050,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20992,c_49,c_5662]) ).
tcf(c_21055,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20998,c_49,c_5662]) ).
tcf(c_21060,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xr),xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21003,c_49,c_5662]) ).
tcf(c_21067,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20995,c_49,c_5662]) ).
tcf(c_21075,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20994,c_49,c_5662]) ).
tcf(c_21096,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20733,c_130]) ).
tcf(c_21097,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xr),sz10)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20733,c_133]) ).
tcf(c_21099,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20733,c_99]) ).
tcf(c_21101,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20733,c_114]) ).
tcf(c_21103,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21101,c_138,c_5662]) ).
tcf(c_21107,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21099,c_138,c_5662]) ).
tcf(c_21108,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,xr),sz10)) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21097,c_139,c_138,c_5662]) ).
tcf(c_21109,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21096,c_139,c_138,c_5662]) ).
tcf(c_21141,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20734,c_127]) ).
tcf(c_21142,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_20734,c_7926]) ).
tcf(c_21143,plain,
( ( sdtpldt0(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),sz10) ),
inference(superposition,[status(thm)],[c_20734,c_128]) ).
tcf(c_21144,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20734,c_84]) ).
tcf(c_21145,plain,
( iLess0(sz10,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20734,c_96]) ).
tcf(c_21146,plain,
( iLess0(sz10,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21145,c_138,c_5662]) ).
tcf(c_21149,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21144,c_138,c_5662]) ).
tcf(c_21150,plain,
( ( sdtpldt0(xn,xr) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21143,c_138,c_5662]) ).
tcf(c_21153,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21141,c_138,c_5662]) ).
tcf(c_21192,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xn,xr))),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21011,c_90]) ).
tcf(c_21193,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X1),sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21011,c_89]) ).
tcf(c_21194,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X1),X0) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21011,c_110]) ).
tcf(c_21195,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X1),X0) = sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21011,c_93]) ).
tcf(c_21196,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))),X0) = sdtpldt0(xn,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21011,c_195]) ).
tcf(c_21197,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21011,c_111]) ).
tcf(c_21198,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21011,c_94]) ).
tcf(c_21199,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_21011,c_5079]) ).
tcf(c_21200,plain,
sdtasdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xr))) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_21011,c_137]) ).
tcf(c_21201,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sz10) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_21011,c_136]) ).
tcf(c_21202,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr))) = sz00,
inference(superposition,[status(thm)],[c_21011,c_109]) ).
tcf(c_21203,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00) = sz00,
inference(superposition,[status(thm)],[c_21011,c_108]) ).
tcf(c_21204,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr))) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_21011,c_92]) ).
tcf(c_21205,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_21011,c_91]) ).
tcf(c_21233,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(global_subsumption_just,[status(thm)],[c_17164,c_6719]) ).
tcf(c_21240,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_21233,c_85]) ).
tcf(c_21252,plain,
( ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21240,c_49]) ).
tcf(c_21271,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21012,c_127]) ).
tcf(c_21272,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_21012,c_7926]) ).
tcf(c_21273,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21012,c_128]) ).
tcf(c_21274,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtpldt0(xn,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21012,c_84]) ).
tcf(c_21275,plain,
( iLess0(sdtpldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21012,c_96]) ).
tcf(c_21276,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21271,c_5662,c_21011]) ).
tcf(c_21280,plain,
( iLess0(sdtpldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21275,c_5662,c_21011]) ).
tcf(c_21283,plain,
sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtpldt0(xn,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_21274,c_5662,c_21011]) ).
tcf(c_21284,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21273,c_5662,c_21011]) ).
tcf(c_21289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5690,c_104]) ).
tcf(c_21290,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5690,c_16382]) ).
tcf(c_21291,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5690,c_16055]) ).
tcf(c_21294,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5690,c_9145]) ).
tcf(c_21296,plain,
( doDivides0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5690,c_185]) ).
tcf(c_21298,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5690,c_100]) ).
tcf(c_21299,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5690,c_102]) ).
tcf(c_21300,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_5690,c_107]) ).
tcf(c_21301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_5690,c_104]) ).
tcf(c_21302,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_5690,c_106]) ).
tcf(c_21303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5690,c_102]) ).
tcf(c_21304,plain,
doDivides0(sdtpldt0(xn,xr),sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_21296,c_138,c_5662]) ).
tcf(c_21305,plain,
sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_21298,c_139,c_138,c_5662]) ).
tcf(c_21306,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21300,c_139,c_138,c_5662]) ).
tcf(c_21310,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21302,c_20390,c_138,c_5662]) ).
tcf(c_21314,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21303,c_20390,c_138,c_5662]) ).
tcf(c_21319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21301,c_139,c_138,c_5662]) ).
tcf(c_21324,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21299,c_20390,c_138,c_5662]) ).
tcf(c_21329,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21289,c_139,c_138,c_5662]) ).
tcf(c_21334,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21294,c_139,c_138,c_5662]) ).
tcf(c_21339,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21291,c_20390,c_138,c_5662]) ).
tcf(c_21347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21290,c_139,c_138,c_5662]) ).
tcf(c_21395,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21304,c_130]) ).
tcf(c_21396,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21304,c_133]) ).
tcf(c_21398,plain,
( ( sdtasdt0(sdtpldt0(xn,xr),sK1(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21304,c_99]) ).
tcf(c_21401,plain,
( doDivides0(sdtpldt0(xn,xr),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_21304,c_76]) ).
tcf(c_21402,plain,
sdtasdt0(sdtpldt0(xn,xr),sK1(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21398,c_5662]) ).
tcf(c_21403,plain,
( doDivides0(sdtpldt0(xn,xr),xr)
| ~ doDivides0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21401,c_66,c_49,c_5662]) ).
tcf(c_21406,plain,
sdtasdt0(sdtpldt0(xn,xr),sdtsldt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21396,c_20390,c_5662]) ).
tcf(c_21407,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21395,c_20390,c_5662]) ).
tcf(c_21412,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_21305,c_7926]) ).
tcf(c_21414,plain,
( ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21305,c_84]) ).
tcf(c_21416,plain,
sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_21414,c_5662]) ).
tcf(c_21426,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21334,c_127]) ).
tcf(c_21427,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_21334,c_7926]) ).
tcf(c_21428,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21334,c_128]) ).
tcf(c_21429,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_21334,c_84]) ).
tcf(c_21430,plain,
( iLess0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_21334,c_96]) ).
tcf(c_21432,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21426,c_5662]) ).
tcf(c_21439,plain,
( iLess0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21430,c_5662]) ).
tcf(c_21445,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21429,c_5662]) ).
tcf(c_21450,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21428,c_5662]) ).
tcf(c_21471,plain,
( ( sdtsldt0(xn,xr) != sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_21252,c_134,c_140,c_144,c_161,c_4997,c_5716,c_8201,c_10146]) ).
tcf(c_21472,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(renaming,[status(thm)],[c_21471]) ).
tcf(c_21485,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_21055]) ).
tcf(c_21486,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_21055]) ).
tcf(c_21488,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21486,c_49,c_21011]) ).
tcf(c_21526,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19709,c_127]) ).
tcf(c_21527,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_19709,c_7926]) ).
tcf(c_21528,plain,
( ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(superposition,[status(thm)],[c_19709,c_128]) ).
tcf(c_21529,plain,
( ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19709,c_84]) ).
tcf(c_21530,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19709,c_96]) ).
tcf(c_21531,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21530,c_138]) ).
tcf(c_21540,plain,
( ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21529,c_138]) ).
tcf(c_21547,plain,
( ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21528,c_138]) ).
tcf(c_21555,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21526,c_138]) ).
tcf(c_21679,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_8409,c_95,c_8409]) ).
tcf(c_21694,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4697,c_21679]) ).
tcf(c_21695,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6152,c_21679]) ).
tcf(c_21697,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4694,c_21679]) ).
tcf(c_21699,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4696,c_21679]) ).
tcf(c_21700,plain,
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4698,c_21679]) ).
tcf(c_21702,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4704,c_21679]) ).
tcf(c_21706,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5356,c_21679]) ).
tcf(c_21707,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5357,c_21679]) ).
tcf(c_21708,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5358,c_21679]) ).
tcf(c_21710,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5425,c_21679]) ).
tcf(c_21711,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5419,c_21679]) ).
tcf(c_21712,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5424,c_21679]) ).
tcf(c_21713,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5625,c_21679]) ).
tcf(c_21714,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5619,c_21679]) ).
tcf(c_21716,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5688,c_21679]) ).
tcf(c_21717,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6158,c_21679]) ).
tcf(c_21721,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6150,c_21679]) ).
tcf(c_21723,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6148,c_21679]) ).
tcf(c_21724,plain,
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6147,c_21679]) ).
tcf(c_21726,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6160,c_21679]) ).
tcf(c_21728,plain,
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6157,c_21679]) ).
tcf(c_21729,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6719,c_21679]) ).
tcf(c_21731,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6155,c_21679]) ).
tcf(c_21732,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21679,c_127]) ).
tcf(c_21734,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_21679,c_128]) ).
tcf(c_21735,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21679,c_84]) ).
tcf(c_21736,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21679,c_96]) ).
tcf(c_21737,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_21679,c_8200]) ).
tcf(c_21738,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21679,c_127]) ).
tcf(c_21739,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_21679,c_7926]) ).
tcf(c_21740,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_21679,c_128]) ).
tcf(c_21741,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21679,c_84]) ).
tcf(c_21742,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21679,c_96]) ).
tcf(c_21745,plain,
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21700,c_138,c_134]) ).
tcf(c_21750,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21699,c_66,c_134]) ).
tcf(c_21755,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21697,c_134,c_50]) ).
tcf(c_21766,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21731,c_138]) ).
tcf(c_21772,plain,
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(sz00,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21728,c_134]) ).
tcf(c_21778,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21726,c_134]) ).
tcf(c_21784,plain,
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21724,c_138]) ).
tcf(c_21790,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21723,c_66]) ).
tcf(c_21796,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21721,c_50]) ).
tcf(c_21802,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21717,c_134]) ).
tcf(c_21812,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21712,c_134,c_5404]) ).
tcf(c_21817,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21713,c_134,c_5447]) ).
tcf(c_21822,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21710,c_134,c_5404]) ).
tcf(c_21858,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21742,c_49]) ).
tcf(c_21868,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21741,c_49]) ).
tcf(c_21876,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21740,c_49]) ).
tcf(c_21885,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21738,c_49]) ).
tcf(c_21981,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X1,sdtsldt0(sK0(xn,sdtsldt0(xn,xr)),X0)) = sdtsldt0(sdtasdt0(X1,sK0(xn,sdtsldt0(xn,xr))),X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8578,c_130]) ).
tcf(c_21982,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,sdtsldt0(sK0(xn,sdtsldt0(xn,xr)),X0)) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8578,c_133]) ).
tcf(c_21983,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ isPrime0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8578,c_124]) ).
tcf(c_21984,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,sK1(X0,sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8578,c_99]) ).
tcf(c_21985,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8578,c_113]) ).
tcf(c_21986,plain,
! [X0: $i,X1: $i] :
( doDivides0(X1,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X1,X0)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8578,c_114]) ).
tcf(c_22035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5693,c_81]) ).
tcf(c_22037,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5693,c_21679]) ).
tcf(c_22038,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5693,c_13445]) ).
tcf(c_22039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5693,c_13129]) ).
tcf(c_22042,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5693,c_8360]) ).
tcf(c_22045,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5693,c_188]) ).
tcf(c_22047,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5693,c_52]) ).
tcf(c_22048,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_5693,c_79]) ).
tcf(c_22049,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5693,c_79]) ).
tcf(c_22050,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_5693,c_88]) ).
tcf(c_22052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5693,c_81]) ).
tcf(c_22053,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_5693,c_87]) ).
tcf(c_22054,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_22045,c_134,c_5662]) ).
tcf(c_22055,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22053,c_134,c_5662]) ).
tcf(c_22059,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,xr)) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22050,c_134,c_5662]) ).
tcf(c_22063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sdtpldt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22052,c_134,c_5662]) ).
tcf(c_22068,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xr)),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22035,c_134,c_5662]) ).
tcf(c_22073,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22037,c_134,c_5662]) ).
tcf(c_22078,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22049,c_134,c_5662]) ).
tcf(c_22083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22048,c_134,c_5662]) ).
tcf(c_22090,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22038,c_134,c_5662]) ).
tcf(c_22098,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22039,c_134,c_5662]) ).
tcf(c_22110,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22054,c_127]) ).
tcf(c_22112,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),sz00) ),
inference(superposition,[status(thm)],[c_22054,c_128]) ).
tcf(c_22113,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22054,c_84]) ).
tcf(c_22114,plain,
( iLess0(sz00,sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22054,c_96]) ).
tcf(c_22115,plain,
iLess0(sz00,sdtpldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_22114,c_20390,c_134,c_5662]) ).
tcf(c_22116,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_22113,c_134,c_5662]) ).
tcf(c_22117,plain,
~ sdtlseqdt0(sdtpldt0(xn,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_22112,c_20390,c_134,c_5662]) ).
tcf(c_22118,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22110,c_134,c_5662]) ).
tcf(c_22125,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5694,c_81]) ).
tcf(c_22127,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5694,c_21679]) ).
tcf(c_22128,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5694,c_13445]) ).
tcf(c_22129,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5694,c_13129]) ).
tcf(c_22132,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_5694,c_8360]) ).
tcf(c_22137,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5694,c_52]) ).
tcf(c_22139,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5694,c_79]) ).
tcf(c_22140,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5694,c_79]) ).
tcf(c_22141,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_5694,c_88]) ).
tcf(c_22143,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_5694,c_81]) ).
tcf(c_22144,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_5694,c_87]) ).
tcf(c_22145,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,xr),X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22144,c_134,c_5662]) ).
tcf(c_22149,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22141,c_134,c_5662]) ).
tcf(c_22153,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22140,c_134,c_5662]) ).
tcf(c_22158,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22139,c_134,c_5662]) ).
tcf(c_22163,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22143,c_134,c_5662]) ).
tcf(c_22168,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,xr))
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22125,c_134,c_5662]) ).
tcf(c_22173,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22127,c_134,c_5662]) ).
tcf(c_22180,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22129,c_134,c_5662]) ).
tcf(c_22188,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22128,c_134,c_5662]) ).
tcf(c_22196,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5720,c_104]) ).
tcf(c_22197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5720,c_16382]) ).
tcf(c_22198,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5720,c_16055]) ).
tcf(c_22201,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5720,c_9145]) ).
tcf(c_22203,plain,
( doDivides0(sz10,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5720,c_185]) ).
tcf(c_22205,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5720,c_100]) ).
tcf(c_22206,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xn))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5720,c_102]) ).
tcf(c_22207,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtasdt0(X0,sdtpldt0(sz10,xn)) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5720,c_107]) ).
tcf(c_22208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(X0,sdtpldt0(sz10,xn)))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5720,c_104]) ).
tcf(c_22209,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5720,c_106]) ).
tcf(c_22210,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_5720,c_102]) ).
tcf(c_22211,plain,
doDivides0(sz10,sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_22203,c_138,c_5707]) ).
tcf(c_22212,plain,
sdtlseqdt0(sz10,sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_22205,c_5820,c_138,c_5707]) ).
tcf(c_22213,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22209,c_139,c_138,c_5707]) ).
tcf(c_22217,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xn)) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22207,c_5820,c_138,c_5707]) ).
tcf(c_22221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(sz10,X0))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22210,c_139,c_138,c_5707]) ).
tcf(c_22226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(X0,sdtpldt0(sz10,xn)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22208,c_5820,c_138,c_5707]) ).
tcf(c_22231,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22206,c_139,c_138,c_5707]) ).
tcf(c_22236,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22196,c_5820,c_138,c_5707]) ).
tcf(c_22241,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22201,c_5820,c_138,c_5707]) ).
tcf(c_22246,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22198,c_139,c_138,c_5707]) ).
tcf(c_22254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22197,c_5820,c_138,c_5707]) ).
tcf(c_22357,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xn),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22211,c_130]) ).
tcf(c_22358,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xn),sz10)) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22211,c_133]) ).
tcf(c_22360,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22211,c_99]) ).
tcf(c_22362,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22211,c_114]) ).
tcf(c_22364,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22362,c_138,c_5707]) ).
tcf(c_22368,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_22360,c_138,c_5707]) ).
tcf(c_22369,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xn),sz10)) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_22358,c_139,c_138,c_5707]) ).
tcf(c_22370,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xn),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22357,c_139,c_138,c_5707]) ).
tcf(c_22375,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22212,c_127]) ).
tcf(c_22376,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_22212,c_7926]) ).
tcf(c_22377,plain,
( ( sdtpldt0(sz10,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),sz10) ),
inference(superposition,[status(thm)],[c_22212,c_128]) ).
tcf(c_22378,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22212,c_84]) ).
tcf(c_22379,plain,
( iLess0(sz10,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22212,c_96]) ).
tcf(c_22380,plain,
( iLess0(sz10,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22379,c_138,c_5707]) ).
tcf(c_22383,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_22378,c_138,c_5707]) ).
tcf(c_22384,plain,
( ( sdtpldt0(sz10,xn) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22377,c_138,c_5707]) ).
tcf(c_22387,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22375,c_138,c_5707]) ).
tcf(c_22393,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xn))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5721,c_104]) ).
tcf(c_22394,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5721,c_16382]) ).
tcf(c_22395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5721,c_16055]) ).
tcf(c_22398,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5721,c_9145]) ).
tcf(c_22400,plain,
( doDivides0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5721,c_185]) ).
tcf(c_22402,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5721,c_100]) ).
tcf(c_22403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sz10,xn))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5721,c_102]) ).
tcf(c_22404,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5721,c_107]) ).
tcf(c_22405,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_5721,c_104]) ).
tcf(c_22406,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtasdt0(sdtpldt0(sz10,xn),X0) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5721,c_106]) ).
tcf(c_22407,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(sdtpldt0(sz10,xn),X0))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5721,c_102]) ).
tcf(c_22408,plain,
doDivides0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_22400,c_138,c_5707]) ).
tcf(c_22409,plain,
sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_22402,c_139,c_138,c_5707]) ).
tcf(c_22410,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22404,c_139,c_138,c_5707]) ).
tcf(c_22414,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xn),X0) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22406,c_5820,c_138,c_5707]) ).
tcf(c_22418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(sdtpldt0(sz10,xn),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22407,c_5820,c_138,c_5707]) ).
tcf(c_22423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtasdt0(X0,sz10))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22405,c_139,c_138,c_5707]) ).
tcf(c_22428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sz10,xn))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22403,c_5820,c_138,c_5707]) ).
tcf(c_22433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22393,c_139,c_138,c_5707]) ).
tcf(c_22438,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22398,c_139,c_138,c_5707]) ).
tcf(c_22443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22395,c_5820,c_138,c_5707]) ).
tcf(c_22451,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22394,c_139,c_138,c_5707]) ).
tcf(c_22485,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22438,c_127]) ).
tcf(c_22486,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_22438,c_7926]) ).
tcf(c_22487,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22438,c_128]) ).
tcf(c_22488,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_22438,c_84]) ).
tcf(c_22489,plain,
( iLess0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_22438,c_96]) ).
tcf(c_22491,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22485,c_5707]) ).
tcf(c_22498,plain,
( iLess0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22489,c_5707]) ).
tcf(c_22504,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22488,c_5707]) ).
tcf(c_22509,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22487,c_5707]) ).
tcf(c_22528,plain,
( doDivides0(sK2(sK0(xn,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK2(sK0(xn,sdtsldt0(xn,xr))))
| ~ doDivides0(sK2(sK0(xn,sdtsldt0(xn,xr))),xn) ),
inference(superposition,[status(thm)],[c_116,c_8720]) ).
tcf(c_22529,plain,
( isPrime0(sK0(xn,sdtsldt0(xn,xr)))
| doDivides0(sK3(sK0(xn,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK3(sK0(xn,sdtsldt0(xn,xr))))
| ~ doDivides0(sK3(sK0(xn,sdtsldt0(xn,xr))),xn) ),
inference(superposition,[status(thm)],[c_121,c_8720]) ).
tcf(c_22556,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sK0(xn,xp) )
| ~ aNaturalNumber0(sK0(xn,xp))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != xp ) ),
inference(superposition,[status(thm)],[c_6169,c_8916]) ).
tcf(c_22592,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X1,sK0(xn,sdtsldt0(xn,xr))))
| ~ sdtlseqdt0(X0,sdtpldt0(X1,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11883,c_127]) ).
tcf(c_22594,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11883,c_128]) ).
tcf(c_22595,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),sK0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11883,c_84]) ).
tcf(c_22596,plain,
! [X0: $i] :
( iLess0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11883,c_96]) ).
tcf(c_22636,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22408,c_130]) ).
tcf(c_22637,plain,
( ( sdtpldt0(sz10,xn) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xn),sdtsldt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22408,c_133]) ).
tcf(c_22639,plain,
( ( sdtasdt0(sdtpldt0(sz10,xn),sK1(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22408,c_99]) ).
tcf(c_22642,plain,
( doDivides0(sdtpldt0(sz10,xn),xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ doDivides0(sdtpldt0(sz10,xn),sz10) ),
inference(superposition,[status(thm)],[c_22408,c_76]) ).
tcf(c_22643,plain,
sdtasdt0(sdtpldt0(sz10,xn),sK1(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_22639,c_5707]) ).
tcf(c_22644,plain,
( doDivides0(sdtpldt0(sz10,xn),xn)
| ~ doDivides0(sdtpldt0(sz10,xn),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22642,c_138,c_49,c_5707]) ).
tcf(c_22647,plain,
sdtasdt0(sdtpldt0(sz10,xn),sdtsldt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_22637,c_5820,c_5707]) ).
tcf(c_22648,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22636,c_5820,c_5707]) ).
tcf(c_22788,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_22409,c_7926]) ).
tcf(c_22790,plain,
( ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22409,c_84]) ).
tcf(c_22792,plain,
sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_22790,c_5707]) ).
tcf(c_22794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5724,c_81]) ).
tcf(c_22797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xn)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5724,c_13445]) ).
tcf(c_22798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5724,c_13129]) ).
tcf(c_22801,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5724,c_8360]) ).
tcf(c_22804,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5724,c_188]) ).
tcf(c_22806,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(sz10,xn)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5724,c_52]) ).
tcf(c_22807,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_5724,c_79]) ).
tcf(c_22808,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5724,c_79]) ).
tcf(c_22809,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtpldt0(X0,sdtpldt0(sz10,xn)) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5724,c_88]) ).
tcf(c_22811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sdtpldt0(sz10,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5724,c_81]) ).
tcf(c_22812,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5724,c_87]) ).
tcf(c_22813,plain,
sdtlseqdt0(sz00,sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_22804,c_134,c_5707]) ).
tcf(c_22814,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22812,c_134,c_5707]) ).
tcf(c_22818,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(sz10,xn)) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22809,c_134,c_5707]) ).
tcf(c_22822,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sdtpldt0(sz10,xn)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22811,c_134,c_5707]) ).
tcf(c_22827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22794,c_134,c_5707]) ).
tcf(c_22832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22808,c_134,c_5707]) ).
tcf(c_22837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22807,c_134,c_5707]) ).
tcf(c_22844,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xn)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22797,c_134,c_5707]) ).
tcf(c_22852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22798,c_134,c_5707]) ).
tcf(c_22864,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22813,c_127]) ).
tcf(c_22866,plain,
( ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),sz00) ),
inference(superposition,[status(thm)],[c_22813,c_128]) ).
tcf(c_22867,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22813,c_84]) ).
tcf(c_22868,plain,
( iLess0(sz00,sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22813,c_96]) ).
tcf(c_22869,plain,
iLess0(sz00,sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_22868,c_5820,c_134,c_5707]) ).
tcf(c_22870,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_22867,c_134,c_5707]) ).
tcf(c_22871,plain,
~ sdtlseqdt0(sdtpldt0(sz10,xn),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_22866,c_5820,c_134,c_5707]) ).
tcf(c_22872,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22864,c_134,c_5707]) ).
tcf(c_22879,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5725,c_81]) ).
tcf(c_22882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5725,c_13445]) ).
tcf(c_22883,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5725,c_13129]) ).
tcf(c_22886,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_5725,c_8360]) ).
tcf(c_22891,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(sz10,xn),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5725,c_52]) ).
tcf(c_22893,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5725,c_79]) ).
tcf(c_22894,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sz10,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5725,c_79]) ).
tcf(c_22895,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5725,c_88]) ).
tcf(c_22897,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_5725,c_81]) ).
tcf(c_22898,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtpldt0(sdtpldt0(sz10,xn),X0) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_5725,c_87]) ).
tcf(c_22899,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sz10,xn),X0) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22898,c_134,c_5707]) ).
tcf(c_22903,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22895,c_134,c_5707]) ).
tcf(c_22907,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sz10,xn))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22894,c_134,c_5707]) ).
tcf(c_22912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22893,c_134,c_5707]) ).
tcf(c_22917,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22897,c_134,c_5707]) ).
tcf(c_22922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22879,c_134,c_5707]) ).
tcf(c_22929,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22883,c_134,c_5707]) ).
tcf(c_22937,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22882,c_134,c_5707]) ).
tcf(c_22964,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11890,c_127]) ).
tcf(c_22966,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_11890,c_128]) ).
tcf(c_22967,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))) = sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11890,c_84]) ).
tcf(c_22968,plain,
! [X0: $i] :
( iLess0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11890,c_96]) ).
tcf(c_22969,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),xn) ),
inference(superposition,[status(thm)],[c_11890,c_8200]) ).
tcf(c_23019,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),xn)
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_22969,c_6729,c_22969]) ).
tcf(c_23020,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),xn) ),
inference(renaming,[status(thm)],[c_23019]) ).
tcf(c_23029,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23020,c_95]) ).
tcf(c_23048,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_8313,c_23029]) ).
tcf(c_23049,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_126,c_23029]) ).
tcf(c_23052,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23049,c_49]) ).
tcf(c_23060,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23048,c_49]) ).
tcf(c_23072,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_9247,c_112,c_9247]) ).
tcf(c_23089,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4831,c_23072]) ).
tcf(c_23091,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sK1(sz00,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1(sz00,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6288,c_23072]) ).
tcf(c_23096,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4826,c_23072]) ).
tcf(c_23097,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4827,c_23072]) ).
tcf(c_23098,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4828,c_23072]) ).
tcf(c_23099,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4829,c_23072]) ).
tcf(c_23101,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4837,c_23072]) ).
tcf(c_23103,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4839,c_23072]) ).
tcf(c_23104,plain,
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4841,c_23072]) ).
tcf(c_23106,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4847,c_23072]) ).
tcf(c_23108,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4849,c_23072]) ).
tcf(c_23109,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5420,c_23072]) ).
tcf(c_23110,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5421,c_23072]) ).
tcf(c_23111,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5422,c_23072]) ).
tcf(c_23113,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5620,c_23072]) ).
tcf(c_23114,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5621,c_23072]) ).
tcf(c_23115,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5622,c_23072]) ).
tcf(c_23117,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5689,c_23072]) ).
tcf(c_23118,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5690,c_23072]) ).
tcf(c_23119,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5691,c_23072]) ).
tcf(c_23123,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5722,c_23072]) ).
tcf(c_23126,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6295,c_23072]) ).
tcf(c_23127,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sK1(xn,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK1(xn,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6294,c_23072]) ).
tcf(c_23128,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6293,c_23072]) ).
tcf(c_23130,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sK1(xr,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6286,c_23072]) ).
tcf(c_23132,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sK1(xm,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6285,c_23072]) ).
tcf(c_23134,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6291,c_23072]) ).
tcf(c_23135,plain,
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6283,c_23072]) ).
tcf(c_23136,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6290,c_23072]) ).
tcf(c_23139,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xr,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9828,c_23072]) ).
tcf(c_23140,plain,
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(sz10,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9813,c_23072]) ).
tcf(c_23141,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9827,c_23072]) ).
tcf(c_23143,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X1,X2))
| ( X2 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23072,c_127]) ).
tcf(c_23145,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_23072,c_128]) ).
tcf(c_23146,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23072,c_84]) ).
tcf(c_23147,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23072,c_96]) ).
tcf(c_23148,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_23072,c_8200]) ).
tcf(c_23149,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_23072,c_127]) ).
tcf(c_23150,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_23072,c_7926]) ).
tcf(c_23151,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_23072,c_128]) ).
tcf(c_23152,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_23072,c_84]) ).
tcf(c_23153,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_23072,c_96]) ).
tcf(c_23155,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23108,c_66,c_138]) ).
tcf(c_23161,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23106,c_138,c_50]) ).
tcf(c_23180,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23141,c_138]) ).
tcf(c_23187,plain,
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(sz10,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23140,c_138]) ).
tcf(c_23194,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xr,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xr,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23139,c_138]) ).
tcf(c_23201,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23136,c_138]) ).
tcf(c_23208,plain,
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(sz10,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23135,c_138]) ).
tcf(c_23215,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(sz10,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23134,c_138]) ).
tcf(c_23222,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sK1(xm,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23132,c_50]) ).
tcf(c_23229,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sK1(xr,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23130,c_66]) ).
tcf(c_23282,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23153,c_49]) ).
tcf(c_23293,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23152,c_49]) ).
tcf(c_23302,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23151,c_49]) ).
tcf(c_23312,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23149,c_49]) ).
tcf(c_23425,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_11265]) ).
tcf(c_23428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_11265]) ).
tcf(c_23429,plain,
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_135,c_11265]) ).
tcf(c_23430,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_11265]) ).
tcf(c_23437,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_23429,c_5365]) ).
tcf(c_23438,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23437,c_138]) ).
tcf(c_23452,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23430,c_49]) ).
tcf(c_23476,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_11272]) ).
tcf(c_23478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),X0)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),X0) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_188,c_11272]) ).
tcf(c_23479,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtasdt0(sK0(xn,sdtsldt0(xn,xr)),X0)))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(sK0(xn,sdtsldt0(xn,xr)),X0) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtasdt0(sK0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_100,c_11272]) ).
tcf(c_23481,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_11272]) ).
tcf(c_23482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtasdt0(sK0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_23072,c_11272]) ).
tcf(c_23483,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21679,c_11272]) ).
tcf(c_23484,plain,
( sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8306,c_11272]) ).
tcf(c_23485,plain,
( sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8299,c_11272]) ).
tcf(c_23486,plain,
( sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8293,c_11272]) ).
tcf(c_23487,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8287,c_11272]) ).
tcf(c_23488,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_7380,c_11272]) ).
tcf(c_23489,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_11272]) ).
tcf(c_23581,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_23488,c_6729,c_23488]) ).
tcf(c_23582,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_23581]) ).
tcf(c_23593,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_23582,c_127]) ).
tcf(c_23595,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23582,c_128]) ).
tcf(c_23596,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_23582,c_84]) ).
tcf(c_23597,plain,
( iLess0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_23582,c_96]) ).
tcf(c_23598,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_23582,c_8200]) ).
tcf(c_23638,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(instantiation,[status(thm)],[c_23593]) ).
tcf(c_23650,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn)
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_23598,c_6729,c_23598]) ).
tcf(c_23651,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_23650]) ).
tcf(c_23664,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_8313,c_23651]) ).
tcf(c_23665,plain,
( sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_126,c_23651]) ).
tcf(c_23667,plain,
( sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23665,c_49]) ).
tcf(c_23674,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23664,c_49]) ).
tcf(c_23691,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5719,c_81]) ).
tcf(c_23692,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ doDivides0(X0,sdtpldt0(sz10,xn))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_5719,c_76]) ).
tcf(c_23693,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5719,c_21679]) ).
tcf(c_23694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xn) ),
inference(superposition,[status(thm)],[c_5719,c_13445]) ).
tcf(c_23695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xn) ),
inference(superposition,[status(thm)],[c_5719,c_13129]) ).
tcf(c_23698,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xn) ),
inference(superposition,[status(thm)],[c_5719,c_8360]) ).
tcf(c_23699,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5719,c_86]) ).
tcf(c_23700,plain,
( ( sdtpldt0(sz10,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5719,c_85]) ).
tcf(c_23701,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5719,c_188]) ).
tcf(c_23702,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5719,c_95]) ).
tcf(c_23703,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(sz10,xn),xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_5719,c_52]) ).
tcf(c_23705,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5719,c_79]) ).
tcf(c_23706,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5719,c_79]) ).
tcf(c_23707,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_5719,c_88]) ).
tcf(c_23708,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ doDivides0(X0,sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5719,c_77]) ).
tcf(c_23709,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sdtpldt0(X0,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_5719,c_81]) ).
tcf(c_23710,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ( sdtpldt0(sdtpldt0(sz10,xn),X0) != sdtpldt0(xn,sdtpldt0(sz10,xn)) ) ),
inference(superposition,[status(thm)],[c_5719,c_87]) ).
tcf(c_23711,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_23702,c_49,c_5707]) ).
tcf(c_23712,plain,
sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(xn,sdtpldt0(sz10,xn))),
inference(forward_subsumption_resolution,[status(thm)],[c_23701,c_49,c_5707]) ).
tcf(c_23716,plain,
sdtpldt0(xn,sdtpldt0(sz10,xn)) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_23700,c_5820,c_49,c_5707]) ).
tcf(c_23717,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sz10,xn),X0) != sdtpldt0(xn,sdtpldt0(sz10,xn)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23710,c_49,c_5707]) ).
tcf(c_23721,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23708,c_49,c_5707]) ).
tcf(c_23726,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23707,c_49,c_5707]) ).
tcf(c_23730,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xn))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23692,c_49,c_5707]) ).
tcf(c_23735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23706,c_49,c_5707]) ).
tcf(c_23740,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23705,c_49,c_5707]) ).
tcf(c_23745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sdtpldt0(X0,xn))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23709,c_49,c_5707]) ).
tcf(c_23750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23691,c_49,c_5707]) ).
tcf(c_23755,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23693,c_49,c_5707]) ).
tcf(c_23760,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23698,c_49,c_5707]) ).
tcf(c_23765,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sdtpldt0(sz10,xn))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(sz10,xn),xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23703,c_49,c_5707]) ).
tcf(c_23772,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23695,c_49,c_5707]) ).
tcf(c_23780,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23694,c_49,c_5707]) ).
tcf(c_23830,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(sz10,xn))),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,sdtpldt0(sz10,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23711,c_90]) ).
tcf(c_23831,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X1),sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23711,c_89]) ).
tcf(c_23832,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X1),X0) = sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23711,c_110]) ).
tcf(c_23833,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X1),X0) = sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23711,c_93]) ).
tcf(c_23834,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))),X0) = sdtpldt0(xn,sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23711,c_195]) ).
tcf(c_23835,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23711,c_111]) ).
tcf(c_23836,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23711,c_94]) ).
tcf(c_23837,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz10,xn))),
inference(superposition,[status(thm)],[c_23711,c_5079]) ).
tcf(c_23838,plain,
sdtasdt0(sz10,sdtpldt0(xn,sdtpldt0(sz10,xn))) = sdtpldt0(xn,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_23711,c_137]) ).
tcf(c_23839,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sz10) = sdtpldt0(xn,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_23711,c_136]) ).
tcf(c_23840,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn))) = sz00,
inference(superposition,[status(thm)],[c_23711,c_109]) ).
tcf(c_23841,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23711,c_108]) ).
tcf(c_23842,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn))) = sdtpldt0(xn,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_23711,c_92]) ).
tcf(c_23843,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sz00) = sdtpldt0(xn,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_23711,c_91]) ).
tcf(c_23909,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9275,c_127]) ).
tcf(c_24016,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23909,c_49]) ).
tcf(c_24029,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23712,c_127]) ).
tcf(c_24030,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xn) ),
inference(superposition,[status(thm)],[c_23712,c_7926]) ).
tcf(c_24031,plain,
( ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_23712,c_128]) ).
tcf(c_24032,plain,
( ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtpldt0(xn,sdtpldt0(sz10,xn)))) = sdtpldt0(xn,sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23712,c_84]) ).
tcf(c_24033,plain,
( iLess0(sdtpldt0(sz10,xn),sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sdtpldt0(sz10,xn) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23712,c_96]) ).
tcf(c_24034,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24029,c_5707,c_23711]) ).
tcf(c_24038,plain,
( iLess0(sdtpldt0(sz10,xn),sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24033,c_5707,c_23711]) ).
tcf(c_24041,plain,
sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtpldt0(xn,sdtpldt0(sz10,xn)))) = sdtpldt0(xn,sdtpldt0(sz10,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_24032,c_5707,c_23711]) ).
tcf(c_24042,plain,
( ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sdtpldt0(sz10,xn) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24031,c_5707,c_23711]) ).
tcf(c_24124,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6029,c_104]) ).
tcf(c_24125,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6029,c_23072]) ).
tcf(c_24126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6029,c_16382]) ).
tcf(c_24130,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6029,c_9145]) ).
tcf(c_24136,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_6029,c_107]) ).
tcf(c_24137,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6029,c_104]) ).
tcf(c_24140,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24136,c_134,c_5784]) ).
tcf(c_24151,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24137,c_134,c_5784]) ).
tcf(c_24157,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24130,c_134,c_4997,c_5784]) ).
tcf(c_24162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24124,c_134,c_5784]) ).
tcf(c_24168,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24126,c_134,c_4997,c_5784]) ).
tcf(c_24179,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6030,c_16055]) ).
tcf(c_24184,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6030,c_185]) ).
tcf(c_24187,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6030,c_102]) ).
tcf(c_24190,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_6030,c_106]) ).
tcf(c_24191,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6030,c_102]) ).
tcf(c_24192,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_24184,c_134,c_5784]) ).
tcf(c_24193,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24190,c_134,c_5784]) ).
tcf(c_24198,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24191,c_134,c_5784]) ).
tcf(c_24204,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24187,c_134,c_5784]) ).
tcf(c_24210,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24179,c_134,c_4997,c_5784]) ).
tcf(c_24218,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sdtpldt0(xn,xm))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_24192,c_130]) ).
tcf(c_24219,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_24192,c_133]) ).
tcf(c_24221,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sK1(sdtpldt0(xn,sdtpldt0(xn,xm)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_24192,c_99]) ).
tcf(c_24223,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_24192,c_114]) ).
tcf(c_24224,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24223,c_134,c_5784]) ).
tcf(c_24228,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sK1(sdtpldt0(xn,sdtpldt0(xn,xm)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_24221,c_134,c_5784]) ).
tcf(c_24229,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24219,c_134,c_5784]) ).
tcf(c_24232,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sdtpldt0(xn,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24218,c_134,c_5784]) ).
tcf(c_24255,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_23593,c_6729,c_23593]) ).
tcf(c_24256,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_24255]) ).
tcf(c_24274,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_24256]) ).
tcf(c_24275,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_24256]) ).
tcf(c_24277,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24275,c_49]) ).
tcf(c_24286,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24274,c_49]) ).
tcf(c_24299,plain,
( iLess0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_23597,c_6729,c_23597]) ).
tcf(c_24300,plain,
( iLess0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_24299]) ).
tcf(c_24315,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_23595,c_6729,c_23595]) ).
tcf(c_24316,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr)) ),
inference(renaming,[status(thm)],[c_24315]) ).
tcf(c_24331,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_8313,c_24316]) ).
tcf(c_24332,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_126,c_24316]) ).
tcf(c_24334,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_23072,c_24316]) ).
tcf(c_24335,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_21679,c_24316]) ).
tcf(c_24336,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_8306,c_24316]) ).
tcf(c_24337,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_8299,c_24316]) ).
tcf(c_24338,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_8293,c_24316]) ).
tcf(c_24339,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_8287,c_24316]) ).
tcf(c_24340,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_7380,c_24316]) ).
tcf(c_24341,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_8313,c_24316]) ).
tcf(c_24434,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_23596,c_6729,c_23596]) ).
tcf(c_24435,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_24434]) ).
tcf(c_24448,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_24435]) ).
tcf(c_24449,plain,
( sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_24435]) ).
tcf(c_24451,plain,
( sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24449,c_49]) ).
tcf(c_24458,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24448,c_49]) ).
tcf(c_24467,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_24338,c_6729,c_24338]) ).
tcf(c_24468,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_24467]) ).
tcf(c_24483,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_24468]) ).
tcf(c_24484,plain,
( sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_24468]) ).
tcf(c_24486,plain,
( sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24484,c_49]) ).
tcf(c_24494,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24483,c_49]) ).
tcf(c_24504,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(global_subsumption_just,[status(thm)],[c_24339,c_134,c_4997,c_6729,c_7397,c_23638]) ).
tcf(c_24518,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_24504]) ).
tcf(c_24519,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_24504]) ).
tcf(c_24521,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24519,c_49]) ).
tcf(c_24528,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24518,c_49]) ).
tcf(c_24567,plain,
( doDivides0(sK2(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK2(xm)) ),
inference(superposition,[status(thm)],[c_116,c_7028]) ).
tcf(c_24568,plain,
( isPrime0(xm)
| doDivides0(sK3(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK3(xm)) ),
inference(superposition,[status(thm)],[c_121,c_7028]) ).
tcf(c_24571,plain,
( doDivides0(sK2(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sK2(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24567,c_50]) ).
tcf(c_24576,plain,
( isPrime0(xm)
| doDivides0(sK3(xm),sz00)
| ( xm = sz10 )
| ( xm = sz00 )
| ~ aNaturalNumber0(sK3(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24568,c_50]) ).
tcf(c_24589,plain,
( doDivides0(sK2(xn),sz00)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2(xn)) ),
inference(superposition,[status(thm)],[c_116,c_7032]) ).
tcf(c_24590,plain,
( isPrime0(xn)
| doDivides0(sK3(xn),sz00)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK3(xn)) ),
inference(superposition,[status(thm)],[c_121,c_7032]) ).
tcf(c_24593,plain,
( doDivides0(sK2(xn),sz00)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(sK2(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24589,c_49]) ).
tcf(c_24598,plain,
( isPrime0(xn)
| doDivides0(sK3(xn),sz00)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(sK3(xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24590,c_49]) ).
tcf(c_24619,plain,
( doDivides0(sK2(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK2(xr)) ),
inference(superposition,[status(thm)],[c_116,c_7040]) ).
tcf(c_24623,plain,
( doDivides0(sK2(xr),sz00)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(sK2(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24619,c_66]) ).
tcf(c_24634,plain,
( doDivides0(sK2(xp),sz00)
| ( xp = sz10 )
| ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK2(xp)) ),
inference(superposition,[status(thm)],[c_116,c_7044]) ).
tcf(c_24638,plain,
( doDivides0(sK2(xp),sz00)
| ( xp = sz10 )
| ( xp = sz00 )
| ~ aNaturalNumber0(sK2(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24634,c_51]) ).
tcf(c_24649,plain,
( doDivides0(sK2(xr),xn)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK2(xr)) ),
inference(superposition,[status(thm)],[c_116,c_7048]) ).
tcf(c_24653,plain,
( doDivides0(sK2(xr),xn)
| ( sz10 = xr )
| ( sz00 = xr )
| ~ aNaturalNumber0(sK2(xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24649,c_66]) ).
tcf(c_24658,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_24336,c_6729,c_24336]) ).
tcf(c_24659,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_24658]) ).
tcf(c_24676,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_24659]) ).
tcf(c_24677,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_24659]) ).
tcf(c_24679,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24677,c_49]) ).
tcf(c_24688,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24676,c_49]) ).
tcf(c_24699,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_24337,c_6729,c_24337]) ).
tcf(c_24700,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_24699]) ).
tcf(c_24717,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_24700]) ).
tcf(c_24718,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_24700]) ).
tcf(c_24720,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24718,c_49]) ).
tcf(c_24729,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24717,c_49]) ).
tcf(c_24740,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_24335,c_6729,c_24335]) ).
tcf(c_24741,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_24740]) ).
tcf(c_24759,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24741,c_127]) ).
tcf(c_24760,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(superposition,[status(thm)],[c_24741,c_7926]) ).
tcf(c_24761,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(superposition,[status(thm)],[c_24741,c_128]) ).
tcf(c_24762,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))) = sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24741,c_84]) ).
tcf(c_24763,plain,
! [X0: $i] :
( iLess0(xn,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24741,c_96]) ).
tcf(c_24764,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24759,c_49]) ).
tcf(c_24776,plain,
! [X0: $i] :
( iLess0(xn,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24763,c_49]) ).
tcf(c_24787,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))) = sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24762,c_49]) ).
tcf(c_24797,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24761,c_49]) ).
tcf(c_24808,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24760,c_49]) ).
tcf(c_24825,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_24341,c_6729,c_8293,c_24256]) ).
tcf(c_24826,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_24825]) ).
tcf(c_24844,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_24826]) ).
tcf(c_24845,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_24826]) ).
tcf(c_24847,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24845,c_49]) ).
tcf(c_24856,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24844,c_49]) ).
tcf(c_24869,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_24331,c_10148]) ).
tcf(c_24870,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(renaming,[status(thm)],[c_24869]) ).
tcf(c_24871,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_24334,c_6729,c_24334]) ).
tcf(c_24872,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_24871]) ).
tcf(c_24891,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24872,c_127]) ).
tcf(c_24892,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(superposition,[status(thm)],[c_24872,c_7926]) ).
tcf(c_24893,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(superposition,[status(thm)],[c_24872,c_128]) ).
tcf(c_24894,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))) = sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24872,c_84]) ).
tcf(c_24895,plain,
! [X0: $i] :
( iLess0(xn,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24872,c_96]) ).
tcf(c_24896,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24891,c_49]) ).
tcf(c_24909,plain,
! [X0: $i] :
( iLess0(xn,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24895,c_49]) ).
tcf(c_24921,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))) = sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24894,c_49]) ).
tcf(c_24932,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24893,c_49]) ).
tcf(c_24944,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24892,c_49]) ).
tcf(c_25058,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7284]) ).
tcf(c_25061,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_7284]) ).
tcf(c_25065,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7284]) ).
tcf(c_25066,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25061,c_138]) ).
tcf(c_25070,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25058,c_138]) ).
tcf(c_25077,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25065,c_138,c_49]) ).
tcf(c_25091,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_25066,c_127]) ).
tcf(c_25092,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25066,c_7926]) ).
tcf(c_25093,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_25066,c_128]) ).
tcf(c_25094,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_84]) ).
tcf(c_25095,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_96]) ).
tcf(c_25098,plain,
( sdtlseqdt0(xn,xr)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_25066,c_13991]) ).
tcf(c_25101,plain,
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xr)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_25066,c_11265]) ).
tcf(c_25102,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_25066,c_127]) ).
tcf(c_25103,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25066,c_7926]) ).
tcf(c_25104,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_25066,c_128]) ).
tcf(c_25105,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK0(X0,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_84]) ).
tcf(c_25106,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_96]) ).
tcf(c_25107,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25066,c_8200]) ).
tcf(c_25108,plain,
( sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_25066,c_11272]) ).
tcf(c_25109,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25106,c_66]) ).
tcf(c_25114,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25095,c_138]) ).
tcf(c_25119,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK0(X0,xr)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25105,c_66]) ).
tcf(c_25123,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25104,c_66]) ).
tcf(c_25128,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25094,c_138]) ).
tcf(c_25132,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25093,c_138]) ).
tcf(c_25137,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_25102,c_66]) ).
tcf(c_25143,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_25091,c_138]) ).
tcf(c_25150,plain,
( sdtlseqdt0(xn,xr)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25098,c_138,c_49]) ).
tcf(c_25154,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25103,c_66]) ).
tcf(c_25161,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25092,c_138]) ).
tcf(c_25168,plain,
( sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xr )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25108,c_66]) ).
tcf(c_25174,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xr)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_25101,c_5365]) ).
tcf(c_25175,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xr)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25174,c_138]) ).
tcf(c_25188,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7288]) ).
tcf(c_25191,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_7288]) ).
tcf(c_25197,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25191,c_138]) ).
tcf(c_25201,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25188,c_138]) ).
tcf(c_25214,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_25197,c_127]) ).
tcf(c_25215,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25197,c_7926]) ).
tcf(c_25216,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_25197,c_128]) ).
tcf(c_25217,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25197,c_84]) ).
tcf(c_25218,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25197,c_96]) ).
tcf(c_25225,plain,
( sdtlseqdt0(sdtpldt0(xn,sz10),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xp)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_25197,c_11265]) ).
tcf(c_25226,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_25197,c_127]) ).
tcf(c_25228,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_25197,c_128]) ).
tcf(c_25229,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25197,c_84]) ).
tcf(c_25230,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25197,c_96]) ).
tcf(c_25232,plain,
( sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_25197,c_11272]) ).
tcf(c_25233,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25230,c_51]) ).
tcf(c_25238,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25218,c_138]) ).
tcf(c_25243,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25229,c_51]) ).
tcf(c_25247,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25228,c_51]) ).
tcf(c_25252,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25217,c_138]) ).
tcf(c_25256,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25216,c_138]) ).
tcf(c_25261,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_25226,c_51]) ).
tcf(c_25267,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_25214,c_138]) ).
tcf(c_25273,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25215,c_138]) ).
tcf(c_25280,plain,
( sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xp )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25232,c_51]) ).
tcf(c_25286,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xp)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_25225,c_5365]) ).
tcf(c_25287,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xp)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25286,c_138]) ).
tcf(c_25299,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7292]) ).
tcf(c_25302,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_7292]) ).
tcf(c_25307,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7292]) ).
tcf(c_25308,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25302,c_134]) ).
tcf(c_25312,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25299,c_134]) ).
tcf(c_25427,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_25308,c_127]) ).
tcf(c_25428,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25308,c_7926]) ).
tcf(c_25429,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_25308,c_128]) ).
tcf(c_25430,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_84]) ).
tcf(c_25431,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_96]) ).
tcf(c_25438,plain,
( sdtlseqdt0(sdtpldt0(xn,sz00),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sz10)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_25308,c_11265]) ).
tcf(c_25439,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_25308,c_127]) ).
tcf(c_25440,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25308,c_7926]) ).
tcf(c_25441,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_25308,c_128]) ).
tcf(c_25442,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_84]) ).
tcf(c_25443,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_96]) ).
tcf(c_25444,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25308,c_8200]) ).
tcf(c_25445,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_7288]) ).
tcf(c_25446,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_7284]) ).
tcf(c_25449,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sz10))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_25308,c_11272]) ).
tcf(c_25456,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sz10)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25443,c_138]) ).
tcf(c_25461,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25431,c_134]) ).
tcf(c_25466,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sz10)) = sz10 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25442,c_138]) ).
tcf(c_25470,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25441,c_138]) ).
tcf(c_25475,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25430,c_134]) ).
tcf(c_25479,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25429,c_134]) ).
tcf(c_25484,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_25439,c_138]) ).
tcf(c_25490,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_25427,c_134]) ).
tcf(c_25497,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25440,c_138]) ).
tcf(c_25504,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25428,c_134]) ).
tcf(c_25511,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_25449,c_5365]) ).
tcf(c_25512,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25511,c_138]) ).
tcf(c_25518,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sz10)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_25438,c_4693]) ).
tcf(c_25519,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sz10)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25518,c_134]) ).
tcf(c_25531,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_25445,c_127]) ).
tcf(c_25532,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25445,c_7926]) ).
tcf(c_25533,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_25445,c_128]) ).
tcf(c_25534,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25445,c_84]) ).
tcf(c_25535,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25445,c_96]) ).
tcf(c_25542,plain,
( sdtlseqdt0(sdtpldt0(xn,sz00),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xp)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_25445,c_11265]) ).
tcf(c_25543,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_25445,c_127]) ).
tcf(c_25545,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_25445,c_128]) ).
tcf(c_25546,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25445,c_84]) ).
tcf(c_25547,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25445,c_96]) ).
tcf(c_25549,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_25445,c_11272]) ).
tcf(c_25550,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25547,c_51]) ).
tcf(c_25555,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25535,c_134]) ).
tcf(c_25560,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25546,c_51]) ).
tcf(c_25564,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25545,c_51]) ).
tcf(c_25569,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25534,c_134]) ).
tcf(c_25573,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25533,c_134]) ).
tcf(c_25578,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_25543,c_51]) ).
tcf(c_25584,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_25531,c_134]) ).
tcf(c_25590,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25532,c_134]) ).
tcf(c_25597,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xp )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25549,c_51]) ).
tcf(c_25603,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xp)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_25542,c_4693]) ).
tcf(c_25604,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xp)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25603,c_134]) ).
tcf(c_25616,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_25446,c_127]) ).
tcf(c_25617,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25446,c_7926]) ).
tcf(c_25618,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_25446,c_128]) ).
tcf(c_25619,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_84]) ).
tcf(c_25620,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_96]) ).
tcf(c_25623,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25446,c_8012]) ).
tcf(c_25627,plain,
( sdtlseqdt0(sdtpldt0(xn,sz00),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xr)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_25446,c_11265]) ).
tcf(c_25628,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_25446,c_127]) ).
tcf(c_25629,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25446,c_7926]) ).
tcf(c_25630,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_25446,c_128]) ).
tcf(c_25631,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_84]) ).
tcf(c_25632,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xr)
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_96]) ).
tcf(c_25633,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25446,c_8200]) ).
tcf(c_25634,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_25446,c_11272]) ).
tcf(c_25635,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xr)
| ( X0 = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25632,c_66]) ).
tcf(c_25640,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25620,c_134]) ).
tcf(c_25645,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xr)) = xr )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25631,c_66]) ).
tcf(c_25649,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25630,c_66]) ).
tcf(c_25654,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25619,c_134]) ).
tcf(c_25658,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25618,c_134]) ).
tcf(c_25663,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_25628,c_66]) ).
tcf(c_25669,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_25616,c_134]) ).
tcf(c_25676,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25629,c_66]) ).
tcf(c_25683,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25617,c_134]) ).
tcf(c_25691,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xr )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25634,c_66]) ).
tcf(c_25697,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xr)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_25627,c_4693]) ).
tcf(c_25698,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xr)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25697,c_134]) ).
tcf(c_25716,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25154,c_127]) ).
tcf(c_25718,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_25154,c_128]) ).
tcf(c_25719,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25154,c_84]) ).
tcf(c_25720,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25154,c_96]) ).
tcf(c_25722,plain,
( sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_25154,c_11272]) ).
tcf(c_25723,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_25154,c_24316]) ).
tcf(c_25875,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_127]) ).
tcf(c_25876,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_7926]) ).
tcf(c_25877,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_128]) ).
tcf(c_25878,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_84]) ).
tcf(c_25879,plain,
! [X0: $i] :
( iLess0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_96]) ).
tcf(c_25880,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_25161,c_8200]) ).
tcf(c_25881,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_25161,c_11272]) ).
tcf(c_25882,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz10)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_127]) ).
tcf(c_25883,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_25161,c_7926]) ).
tcf(c_25884,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(superposition,[status(thm)],[c_25161,c_128]) ).
tcf(c_25885,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_84]) ).
tcf(c_25886,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_96]) ).
tcf(c_25888,plain,
! [X0: $i] :
( iLess0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25879,c_66]) ).
tcf(c_25896,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25878,c_66]) ).
tcf(c_25903,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25877,c_66]) ).
tcf(c_25911,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25886,c_138]) ).
tcf(c_25920,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25876,c_66]) ).
tcf(c_25928,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25885,c_138]) ).
tcf(c_25935,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25884,c_138]) ).
tcf(c_25943,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz10)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25882,c_138]) ).
tcf(c_25952,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25875,c_66]) ).
tcf(c_25961,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xr )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25881,c_66]) ).
tcf(c_25987,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7296]) ).
tcf(c_25990,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_7296]) ).
tcf(c_26000,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25987,c_134]) ).
tcf(c_26013,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7300]) ).
tcf(c_26016,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_7300]) ).
tcf(c_26026,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26013,c_134]) ).
tcf(c_26039,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7304]) ).
tcf(c_26042,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_7304]) ).
tcf(c_26050,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7304]) ).
tcf(c_26051,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26042,c_134]) ).
tcf(c_26055,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26039,c_134]) ).
tcf(c_26069,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_26051,c_127]) ).
tcf(c_26070,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26051,c_7926]) ).
tcf(c_26071,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_26051,c_128]) ).
tcf(c_26072,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_84]) ).
tcf(c_26073,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_96]) ).
tcf(c_26083,plain,
( sdtlseqdt0(sdtpldt0(xn,sz00),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xm)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26051,c_11265]) ).
tcf(c_26085,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_26051,c_127]) ).
tcf(c_26086,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26051,c_7926]) ).
tcf(c_26087,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_26051,c_128]) ).
tcf(c_26088,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_84]) ).
tcf(c_26089,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xm)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_96]) ).
tcf(c_26090,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26051,c_8200]) ).
tcf(c_26091,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26051,c_11272]) ).
tcf(c_26092,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xm)
| ( X0 = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26089,c_50]) ).
tcf(c_26097,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26073,c_134]) ).
tcf(c_26102,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xm)) = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26088,c_50]) ).
tcf(c_26106,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26087,c_50]) ).
tcf(c_26111,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26072,c_134]) ).
tcf(c_26115,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26071,c_134]) ).
tcf(c_26120,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_26085,c_50]) ).
tcf(c_26126,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_26069,c_134]) ).
tcf(c_26133,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26086,c_50]) ).
tcf(c_26140,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26070,c_134]) ).
tcf(c_26147,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xm )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26091,c_50]) ).
tcf(c_26153,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xm)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_26083,c_4693]) ).
tcf(c_26154,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xm)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26153,c_134]) ).
tcf(c_26166,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7308]) ).
tcf(c_26169,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_7308]) ).
tcf(c_26179,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26169,c_134]) ).
tcf(c_26183,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26166,c_134]) ).
tcf(c_26196,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_26179,c_127]) ).
tcf(c_26198,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_26179,c_128]) ).
tcf(c_26199,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_84]) ).
tcf(c_26200,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_96]) ).
tcf(c_26211,plain,
( sdtlseqdt0(sdtpldt0(xn,sz00),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_11265]) ).
tcf(c_26214,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_26179,c_127]) ).
tcf(c_26215,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26179,c_7926]) ).
tcf(c_26216,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_26179,c_128]) ).
tcf(c_26217,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_84]) ).
tcf(c_26218,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_96]) ).
tcf(c_26219,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26179,c_8138]) ).
tcf(c_26220,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_13991]) ).
tcf(c_26221,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26179,c_8012]) ).
tcf(c_26222,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26179,c_8200]) ).
tcf(c_26224,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_26179,c_13445]) ).
tcf(c_26225,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_26179,c_13129]) ).
tcf(c_26226,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_26179,c_8360]) ).
tcf(c_26227,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_26179,c_16382]) ).
tcf(c_26228,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_26179,c_16055]) ).
tcf(c_26229,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_26179,c_9145]) ).
tcf(c_26236,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_26179,c_8338]) ).
tcf(c_26237,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_26179,c_9120]) ).
tcf(c_26238,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_26179,c_8404]) ).
tcf(c_26239,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xn))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_11272]) ).
tcf(c_26240,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_26179,c_14142]) ).
tcf(c_26241,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_21055]) ).
tcf(c_26242,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_26179,c_23029]) ).
tcf(c_26243,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_24826]) ).
tcf(c_26244,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_24700]) ).
tcf(c_26245,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_24659]) ).
tcf(c_26246,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_24504]) ).
tcf(c_26247,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_24468]) ).
tcf(c_26248,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_24435]) ).
tcf(c_26249,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_24256]) ).
tcf(c_26250,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_26179,c_23651]) ).
tcf(c_26251,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26218,c_49]) ).
tcf(c_26256,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26200,c_134]) ).
tcf(c_26261,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26217,c_49]) ).
tcf(c_26265,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26216,c_49]) ).
tcf(c_26270,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26199,c_134]) ).
tcf(c_26274,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26198,c_134]) ).
tcf(c_26279,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_26214,c_49]) ).
tcf(c_26285,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_26196,c_134]) ).
tcf(c_26316,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26241,c_21011]) ).
tcf(c_26321,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26240,c_14098]) ).
tcf(c_26326,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26238,c_5784]) ).
tcf(c_26352,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xn))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xn )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26239,c_49]) ).
tcf(c_26358,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_26211,c_4693]) ).
tcf(c_26359,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26358,c_134]) ).
tcf(c_26621,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7322]) ).
tcf(c_26624,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_7322]) ).
tcf(c_26638,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26624,c_50]) ).
tcf(c_26642,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26621,c_50]) ).
tcf(c_26655,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_26638,c_127]) ).
tcf(c_26656,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26638,c_7926]) ).
tcf(c_26657,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_26638,c_128]) ).
tcf(c_26658,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xm,sK0(xm,X0)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26638,c_84]) ).
tcf(c_26659,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(xm,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26638,c_96]) ).
tcf(c_26672,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xp)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26638,c_11265]) ).
tcf(c_26673,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_26638,c_127]) ).
tcf(c_26675,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_26638,c_128]) ).
tcf(c_26676,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26638,c_84]) ).
tcf(c_26677,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26638,c_96]) ).
tcf(c_26679,plain,
( sdtlseqdt0(xm,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26638,c_11272]) ).
tcf(c_26680,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26677,c_51]) ).
tcf(c_26685,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(xm,X0)
| ( X0 = xm )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26659,c_50]) ).
tcf(c_26690,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26676,c_51]) ).
tcf(c_26694,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26675,c_51]) ).
tcf(c_26699,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xm,sK0(xm,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26658,c_50]) ).
tcf(c_26703,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26657,c_50]) ).
tcf(c_26708,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26673,c_51]) ).
tcf(c_26714,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26655,c_50]) ).
tcf(c_26720,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26656,c_50]) ).
tcf(c_26727,plain,
( sdtlseqdt0(xm,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xp )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26679,c_51]) ).
tcf(c_26733,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xp)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xm )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26672,c_50]) ).
tcf(c_26818,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_127]) ).
tcf(c_26819,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_7926]) ).
tcf(c_26820,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_128]) ).
tcf(c_26821,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_84]) ).
tcf(c_26822,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_96]) ).
tcf(c_26825,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_8012]) ).
tcf(c_26834,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sz00),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_11265]) ).
tcf(c_26837,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_75]) ).
tcf(c_26838,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_127]) ).
tcf(c_26839,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_7926]) ).
tcf(c_26840,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_128]) ).
tcf(c_26841,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_84]) ).
tcf(c_26842,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_96]) ).
tcf(c_26849,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_8138]) ).
tcf(c_26850,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_13991]) ).
tcf(c_26851,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_8012]) ).
tcf(c_26852,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_7322]) ).
tcf(c_26854,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_7288]) ).
tcf(c_26855,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_7284]) ).
tcf(c_26859,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_7308]) ).
tcf(c_26860,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_7304]) ).
tcf(c_26861,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_7300]) ).
tcf(c_26862,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_7296]) ).
tcf(c_26863,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_7292]) ).
tcf(c_26867,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_26221,c_13445]) ).
tcf(c_26868,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_26221,c_13129]) ).
tcf(c_26869,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_26221,c_8360]) ).
tcf(c_26870,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_26221,c_16382]) ).
tcf(c_26871,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_26221,c_16055]) ).
tcf(c_26872,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_26221,c_9145]) ).
tcf(c_26879,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_26221,c_8338]) ).
tcf(c_26880,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_26221,c_9120]) ).
tcf(c_26881,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_26221,c_8404]) ).
tcf(c_26882,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_11272]) ).
tcf(c_26883,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_11265]) ).
tcf(c_26884,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_26221,c_14142]) ).
tcf(c_26885,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_21055]) ).
tcf(c_26886,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_26221,c_23029]) ).
tcf(c_26887,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_24826]) ).
tcf(c_26888,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_24700]) ).
tcf(c_26889,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_24659]) ).
tcf(c_26890,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_24504]) ).
tcf(c_26891,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_24468]) ).
tcf(c_26892,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_24435]) ).
tcf(c_26893,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_24256]) ).
tcf(c_26894,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_26221,c_23651]) ).
tcf(c_26895,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_26221,c_24316]) ).
tcf(c_26896,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_127]) ).
tcf(c_26898,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_26221,c_128]) ).
tcf(c_26899,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_84]) ).
tcf(c_26900,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_96]) ).
tcf(c_26902,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_11272]) ).
tcf(c_26903,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_26221,c_24316]) ).
tcf(c_26908,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(equality_factoring,[status(thm)],[c_26221]) ).
tcf(c_26909,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(equality_factoring,[status(thm)],[c_26221]) ).
tcf(c_26914,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26908,c_134]) ).
tcf(c_26920,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26863,c_134]) ).
tcf(c_26927,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26862,c_134]) ).
tcf(c_26934,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26861,c_134]) ).
tcf(c_26941,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26860,c_134]) ).
tcf(c_26948,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26859,c_134]) ).
tcf(c_26955,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26855,c_138]) ).
tcf(c_26962,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26854,c_138]) ).
tcf(c_26969,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26852,c_50]) ).
tcf(c_27048,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26822,c_134]) ).
tcf(c_27058,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26851,c_49]) ).
tcf(c_27067,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26821,c_134]) ).
tcf(c_27075,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26820,c_134]) ).
tcf(c_27084,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26850,c_49]) ).
tcf(c_27091,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26819,c_134]) ).
tcf(c_27100,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26849,c_49]) ).
tcf(c_27109,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26818,c_134]) ).
tcf(c_27119,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26825,c_134,c_49]) ).
tcf(c_27158,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_26834,c_4693]) ).
tcf(c_27159,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27158,c_134]) ).
tcf(c_27170,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26886,c_49]) ).
tcf(c_27180,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26890,c_49]) ).
tcf(c_27191,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26894,c_49]) ).
tcf(c_27200,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26887,c_49]) ).
tcf(c_27221,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26893,c_49]) ).
tcf(c_27241,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26891,c_49]) ).
tcf(c_27251,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26892,c_49]) ).
tcf(c_27260,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26889,c_49]) ).
tcf(c_27271,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26888,c_49]) ).
tcf(c_27374,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_24016,c_127]) ).
tcf(c_27448,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_26226,c_95,c_26226]) ).
tcf(c_27479,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5419,c_27448]) ).
tcf(c_27482,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5619,c_27448]) ).
tcf(c_27485,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5688,c_27448]) ).
tcf(c_27487,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5719,c_27448]) ).
tcf(c_27502,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6719,c_27448]) ).
tcf(c_27505,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27448,c_127]) ).
tcf(c_27507,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_27448,c_128]) ).
tcf(c_27508,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27448,c_84]) ).
tcf(c_27509,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27448,c_96]) ).
tcf(c_27510,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_27448,c_8200]) ).
tcf(c_27511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_27448,c_11272]) ).
tcf(c_27512,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_27448,c_24316]) ).
tcf(c_27513,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27448,c_127]) ).
tcf(c_27514,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_27448,c_7926]) ).
tcf(c_27515,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_27448,c_128]) ).
tcf(c_27516,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27448,c_84]) ).
tcf(c_27517,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27448,c_96]) ).
tcf(c_27531,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27487,c_49,c_5707]) ).
tcf(c_27560,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27517,c_134]) ).
tcf(c_27570,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27516,c_134]) ).
tcf(c_27578,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27515,c_134]) ).
tcf(c_27587,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27513,c_134]) ).
tcf(c_27726,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_7326]) ).
tcf(c_27727,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_7326]) ).
tcf(c_27730,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_7326]) ).
tcf(c_27744,plain,
( sdtlseqdt0(xr,xp)
| ( xn = sz00 )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_5982,c_7326]) ).
tcf(c_27747,plain,
( sdtlseqdt0(xr,xp)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27744,c_66]) ).
tcf(c_27750,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27730,c_49]) ).
tcf(c_27754,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27727,c_49]) ).
tcf(c_27761,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27726,c_49]) ).
tcf(c_27774,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_27750,c_127]) ).
tcf(c_27775,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27750,c_7926]) ).
tcf(c_27776,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_27750,c_128]) ).
tcf(c_27777,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27750,c_84]) ).
tcf(c_27778,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(xn,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27750,c_96]) ).
tcf(c_27792,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xp)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_27750,c_11265]) ).
tcf(c_27793,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_27750,c_127]) ).
tcf(c_27795,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_27750,c_128]) ).
tcf(c_27796,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27750,c_84]) ).
tcf(c_27797,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27750,c_96]) ).
tcf(c_27799,plain,
( sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_27750,c_11272]) ).
tcf(c_27800,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,xp)
| ( X0 = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27797,c_51]) ).
tcf(c_27805,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| iLess0(xn,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27778,c_49]) ).
tcf(c_27810,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27796,c_51]) ).
tcf(c_27814,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27795,c_51]) ).
tcf(c_27819,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27777,c_49]) ).
tcf(c_27823,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27776,c_49]) ).
tcf(c_27828,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27793,c_51]) ).
tcf(c_27834,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27774,c_49]) ).
tcf(c_27840,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27775,c_49]) ).
tcf(c_27847,plain,
( sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xp )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27799,c_51]) ).
tcf(c_27853,plain,
( sdtlseqdt0(sdtpldt0(xn,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xp)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xn )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27792,c_49]) ).
tcf(c_27859,plain,
sz00 != xr,
inference(global_subsumption_just,[status(thm)],[c_10558,c_1657]) ).
tcf(c_27861,plain,
xp != sz00,
inference(global_subsumption_just,[status(thm)],[c_10607,c_1631]) ).
tcf(c_27867,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_27747,c_127]) ).
tcf(c_27869,plain,
( ( xp = xr )
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,xr) ),
inference(superposition,[status(thm)],[c_27747,c_128]) ).
tcf(c_27870,plain,
( ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,xp)) = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_27747,c_84]) ).
tcf(c_27871,plain,
( iLess0(xr,xp)
| ( xp = xr )
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_27747,c_96]) ).
tcf(c_27872,plain,
( iLess0(xr,xp)
| ( xp = xr )
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27871,c_66,c_51]) ).
tcf(c_27876,plain,
( ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27870,c_66,c_51]) ).
tcf(c_27879,plain,
( ( xp = xr )
| ( xn = sz00 )
| ~ sdtlseqdt0(xp,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27869,c_66,c_51]) ).
tcf(c_27883,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27867,c_66,c_51]) ).
tcf(c_27888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_15517,c_104]) ).
tcf(c_27889,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_15517,c_23072]) ).
tcf(c_27890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_15517,c_16382]) ).
tcf(c_27894,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_15517,c_9145]) ).
tcf(c_27900,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15517,c_107]) ).
tcf(c_27901,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_15517,c_104]) ).
tcf(c_27904,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27900,c_14103,c_134,c_14098]) ).
tcf(c_27909,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27901,c_14103,c_134,c_14098]) ).
tcf(c_27915,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27888,c_14103,c_134,c_14098]) ).
tcf(c_27920,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27890,c_14103,c_134,c_4997,c_14098]) ).
tcf(c_27930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_15518,c_16055]) ).
tcf(c_27935,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xn,xp)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_15518,c_185]) ).
tcf(c_27938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_15518,c_102]) ).
tcf(c_27941,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15518,c_106]) ).
tcf(c_27942,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_15518,c_102]) ).
tcf(c_27943,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xn,xp)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_27935,c_134,c_14098]) ).
tcf(c_27944,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27941,c_14103,c_134,c_14098]) ).
tcf(c_27948,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27942,c_14103,c_134,c_14098]) ).
tcf(c_27953,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27938,c_14103,c_134,c_14098]) ).
tcf(c_27958,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27930,c_14103,c_134,c_4997,c_14098]) ).
tcf(c_27965,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sdtpldt0(xn,xp))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_27943,c_130]) ).
tcf(c_27966,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_27943,c_133]) ).
tcf(c_27968,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sK1(sdtpldt0(xn,sdtpldt0(xn,xp)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_27943,c_99]) ).
tcf(c_27970,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_27943,c_114]) ).
tcf(c_27971,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27970,c_134,c_14098]) ).
tcf(c_27975,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sK1(sdtpldt0(xn,sdtpldt0(xn,xp)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_27968,c_134,c_14098]) ).
tcf(c_27976,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_27966,c_14103,c_134,c_14098]) ).
tcf(c_27977,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sdtpldt0(xn,xp))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27965,c_14103,c_134,c_14098]) ).
tcf(c_28013,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_100,c_27374]) ).
tcf(c_28161,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_26229,c_112,c_26229]) ).
tcf(c_28236,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X1,X2))
| ( X2 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28161,c_127]) ).
tcf(c_28238,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_28161,c_128]) ).
tcf(c_28239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28161,c_84]) ).
tcf(c_28240,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28161,c_96]) ).
tcf(c_28241,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_28161,c_8200]) ).
tcf(c_28242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtasdt0(sK0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_28161,c_11272]) ).
tcf(c_28243,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_28161,c_24316]) ).
tcf(c_28244,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_28161,c_127]) ).
tcf(c_28245,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_28161,c_7926]) ).
tcf(c_28246,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_28161,c_128]) ).
tcf(c_28247,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_28161,c_84]) ).
tcf(c_28248,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_28161,c_96]) ).
tcf(c_28287,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28248,c_134]) ).
tcf(c_28298,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28247,c_134]) ).
tcf(c_28307,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28246,c_134]) ).
tcf(c_28317,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28244,c_134]) ).
tcf(c_28361,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_26250]) ).
tcf(c_28362,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_26250]) ).
tcf(c_28365,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28362,c_49]) ).
tcf(c_28372,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28361,c_49]) ).
tcf(c_28397,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_127]) ).
tcf(c_28398,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_26249,c_7926]) ).
tcf(c_28399,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sz00) ),
inference(superposition,[status(thm)],[c_26249,c_128]) ).
tcf(c_28400,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_84]) ).
tcf(c_28401,plain,
! [X0: $i] :
( iLess0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_96]) ).
tcf(c_28402,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz00),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_11265]) ).
tcf(c_28403,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_127]) ).
tcf(c_28405,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) ),
inference(superposition,[status(thm)],[c_26249,c_128]) ).
tcf(c_28406,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_84]) ).
tcf(c_28407,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_96]) ).
tcf(c_28408,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_26249,c_8200]) ).
tcf(c_28409,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr))))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26249,c_11272]) ).
tcf(c_28454,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28397,c_134]) ).
tcf(c_28465,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_28402,c_4693]) ).
tcf(c_28466,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28465,c_134]) ).
tcf(c_28476,plain,
! [X0: $i] :
( iLess0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28401,c_134]) ).
tcf(c_28486,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28400,c_134]) ).
tcf(c_28495,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28399,c_134]) ).
tcf(c_28536,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26248,c_127]) ).
tcf(c_28537,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_26248,c_7926]) ).
tcf(c_28538,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sz00) ),
inference(superposition,[status(thm)],[c_26248,c_128]) ).
tcf(c_28539,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26248,c_84]) ).
tcf(c_28540,plain,
( iLess0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26248,c_96]) ).
tcf(c_28541,plain,
( sdtlseqdt0(sdtpldt0(xn,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26248,c_11265]) ).
tcf(c_28542,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28536,c_134]) ).
tcf(c_28551,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_28541,c_4693]) ).
tcf(c_28552,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28551,c_134]) ).
tcf(c_28560,plain,
( iLess0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28540,c_134]) ).
tcf(c_28568,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28539,c_134]) ).
tcf(c_28575,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28538,c_134]) ).
tcf(c_28589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21202,c_104]) ).
tcf(c_28591,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21202,c_23072]) ).
tcf(c_28592,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21202,c_16382]) ).
tcf(c_28596,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21202,c_9145]) ).
tcf(c_28602,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) != sz00 ) ),
inference(superposition,[status(thm)],[c_21202,c_107]) ).
tcf(c_28603,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21202,c_104]) ).
tcf(c_28606,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28602,c_21016,c_134,c_21011]) ).
tcf(c_28611,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28603,c_21016,c_134,c_21011]) ).
tcf(c_28617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28589,c_21016,c_134,c_21011]) ).
tcf(c_28622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28592,c_21016,c_134,c_4997,c_21011]) ).
tcf(c_28633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21203,c_16055]) ).
tcf(c_28638,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21203,c_185]) ).
tcf(c_28641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21203,c_102]) ).
tcf(c_28644,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_21203,c_106]) ).
tcf(c_28645,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21203,c_102]) ).
tcf(c_28646,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_28638,c_134,c_21011]) ).
tcf(c_28647,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28644,c_21016,c_134,c_21011]) ).
tcf(c_28651,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28645,c_21016,c_134,c_21011]) ).
tcf(c_28656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28641,c_21016,c_134,c_21011]) ).
tcf(c_28661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28633,c_21016,c_134,c_4997,c_21011]) ).
tcf(c_28743,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_28646,c_130]) ).
tcf(c_28744,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_28646,c_133]) ).
tcf(c_28746,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sK1(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_28646,c_99]) ).
tcf(c_28748,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_28646,c_114]) ).
tcf(c_28749,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28748,c_134,c_21011]) ).
tcf(c_28753,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sK1(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_28746,c_134,c_21011]) ).
tcf(c_28754,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_28744,c_21016,c_134,c_21011]) ).
tcf(c_28755,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sdtpldt0(xn,xr))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28743,c_21016,c_134,c_21011]) ).
tcf(c_28759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23840,c_104]) ).
tcf(c_28761,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23840,c_23072]) ).
tcf(c_28762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23840,c_16382]) ).
tcf(c_28766,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23840,c_9145]) ).
tcf(c_28772,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23840,c_107]) ).
tcf(c_28773,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23840,c_104]) ).
tcf(c_28776,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28772,c_23716,c_134,c_23711]) ).
tcf(c_28781,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28773,c_23716,c_134,c_23711]) ).
tcf(c_28787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28759,c_23716,c_134,c_23711]) ).
tcf(c_28792,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28762,c_23716,c_134,c_4997,c_23711]) ).
tcf(c_28803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23841,c_16055]) ).
tcf(c_28808,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23841,c_185]) ).
tcf(c_28811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23841,c_102]) ).
tcf(c_28814,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23841,c_106]) ).
tcf(c_28815,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23841,c_102]) ).
tcf(c_28816,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_28808,c_134,c_23711]) ).
tcf(c_28817,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28814,c_23716,c_134,c_23711]) ).
tcf(c_28821,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28815,c_23716,c_134,c_23711]) ).
tcf(c_28826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28811,c_23716,c_134,c_23711]) ).
tcf(c_28831,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28803,c_23716,c_134,c_4997,c_23711]) ).
tcf(c_28838,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sdtpldt0(sz10,xn))) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_28816,c_130]) ).
tcf(c_28839,plain,
( ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_28816,c_133]) ).
tcf(c_28841,plain,
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sK1(sdtpldt0(xn,sdtpldt0(sz10,xn)),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_28816,c_99]) ).
tcf(c_28843,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_28816,c_114]) ).
tcf(c_28844,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28843,c_134,c_23711]) ).
tcf(c_28848,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sK1(sdtpldt0(xn,sdtpldt0(sz10,xn)),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_28841,c_134,c_23711]) ).
tcf(c_28849,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_28839,c_23716,c_134,c_23711]) ).
tcf(c_28850,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xn,sdtpldt0(sz10,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28838,c_23716,c_134,c_23711]) ).
tcf(c_28860,plain,
sdtpldt0(xm,xp) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_51,c_5080]) ).
tcf(c_28861,plain,
sdtpldt0(xm,xr) = sdtpldt0(xr,xm),
inference(superposition,[status(thm)],[c_66,c_5080]) ).
tcf(c_28862,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_5080]) ).
tcf(c_28863,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xm) = sdtpldt0(xm,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_5080]) ).
tcf(c_28864,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_5080]) ).
tcf(c_28865,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xm) = sdtpldt0(xm,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_5080]) ).
tcf(c_28866,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),xm) = sdtpldt0(xm,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_5080]) ).
tcf(c_28867,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),xm) = sdtpldt0(xm,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_5080]) ).
tcf(c_28868,plain,
sdtpldt0(xm,sz00) = sdtpldt0(sz00,xm),
inference(superposition,[status(thm)],[c_134,c_5080]) ).
tcf(c_28869,plain,
sdtpldt0(xm,sz10) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_138,c_5080]) ).
tcf(c_28870,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xm) = sdtpldt0(xm,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_5080]) ).
tcf(c_28871,plain,
sdtpldt0(sdtpldt0(xn,xm),xm) = sdtpldt0(xm,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_5404,c_5080]) ).
tcf(c_28872,plain,
sdtpldt0(sdtpldt0(xn,xp),xm) = sdtpldt0(xm,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_5447,c_5080]) ).
tcf(c_28873,plain,
sdtpldt0(sdtpldt0(xn,xr),xm) = sdtpldt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_5662,c_5080]) ).
tcf(c_28874,plain,
sdtpldt0(sdtpldt0(sz10,xn),xm) = sdtpldt0(xm,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5707,c_5080]) ).
tcf(c_28875,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(superposition,[status(thm)],[c_5784,c_5080]) ).
tcf(c_28876,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xn,xp))),
inference(superposition,[status(thm)],[c_14098,c_5080]) ).
tcf(c_28877,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_21011,c_5080]) ).
tcf(c_28878,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz10,xn))),
inference(superposition,[status(thm)],[c_23711,c_5080]) ).
tcf(c_28941,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_28860,c_81]) ).
tcf(c_28942,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28860,c_76]) ).
tcf(c_28943,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28860,c_27448]) ).
tcf(c_28944,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28860,c_21679]) ).
tcf(c_28945,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_28860,c_13445]) ).
tcf(c_28946,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_28860,c_13129]) ).
tcf(c_28949,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_28860,c_8360]) ).
tcf(c_28950,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xp,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_28860,c_86]) ).
tcf(c_28951,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xp,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_28860,c_85]) ).
tcf(c_28952,plain,
( sdtlseqdt0(xm,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_28860,c_188]) ).
tcf(c_28953,plain,
( aNaturalNumber0(sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_28860,c_95]) ).
tcf(c_28954,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_28860,c_52]) ).
tcf(c_28955,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(xm,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_28860,c_79]) ).
tcf(c_28956,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xp,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_28860,c_79]) ).
tcf(c_28957,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_28860,c_88]) ).
tcf(c_28958,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_28860,c_77]) ).
tcf(c_28959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_28860,c_81]) ).
tcf(c_28960,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_28860,c_87]) ).
tcf(c_28961,plain,
aNaturalNumber0(sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_28953,c_51,c_50]) ).
tcf(c_28962,plain,
sdtlseqdt0(xm,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_28952,c_51,c_50]) ).
tcf(c_28966,plain,
sdtpldt0(xp,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_28950,c_27861,c_51,c_50]) ).
tcf(c_28967,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28960,c_51,c_50]) ).
tcf(c_28971,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28958,c_51,c_50]) ).
tcf(c_28976,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28957,c_51,c_50]) ).
tcf(c_28980,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28942,c_51,c_50]) ).
tcf(c_28985,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28959,c_51,c_50]) ).
tcf(c_28990,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xp,xm))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28956,c_51,c_50]) ).
tcf(c_28995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(xm,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28955,c_51,c_50]) ).
tcf(c_29000,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28941,c_51,c_50]) ).
tcf(c_29005,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28944,c_51,c_50]) ).
tcf(c_29010,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28943,c_51,c_50]) ).
tcf(c_29015,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28949,c_51,c_50]) ).
tcf(c_29020,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| doDivides0(X0,xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xp))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28954,c_51,c_50]) ).
tcf(c_29027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28946,c_51,c_50]) ).
tcf(c_29035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28945,c_51,c_50]) ).
tcf(c_29150,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_25723,c_6729,c_25723]) ).
tcf(c_29151,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_29150]) ).
tcf(c_29168,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_29151]) ).
tcf(c_29169,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_29151]) ).
tcf(c_29170,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_29151]) ).
tcf(c_29172,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_29151]) ).
tcf(c_29181,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29170,c_49]) ).
tcf(c_29190,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29169,c_49]) ).
tcf(c_29201,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29168,c_49]) ).
tcf(c_29216,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_27512,c_6729,c_27512]) ).
tcf(c_29217,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_29216]) ).
tcf(c_29235,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29217,c_127]) ).
tcf(c_29236,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(superposition,[status(thm)],[c_29217,c_7926]) ).
tcf(c_29237,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),sz00) ),
inference(superposition,[status(thm)],[c_29217,c_128]) ).
tcf(c_29238,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))) = sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29217,c_84]) ).
tcf(c_29239,plain,
! [X0: $i] :
( iLess0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29217,c_96]) ).
tcf(c_29240,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29235,c_134]) ).
tcf(c_29252,plain,
! [X0: $i] :
( iLess0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29239,c_134]) ).
tcf(c_29263,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))) = sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29238,c_134]) ).
tcf(c_29273,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29237,c_134]) ).
tcf(c_29284,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29236,c_134]) ).
tcf(c_29317,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_26903,c_6729,c_8287,c_24256]) ).
tcf(c_29318,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_29317]) ).
tcf(c_29335,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_29318]) ).
tcf(c_29336,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_29318]) ).
tcf(c_29337,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_29318]) ).
tcf(c_29339,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_29318]) ).
tcf(c_29348,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29337,c_49]) ).
tcf(c_29357,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29336,c_49]) ).
tcf(c_29368,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29335,c_49]) ).
tcf(c_29389,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_28243,c_6729,c_28243]) ).
tcf(c_29390,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_29389]) ).
tcf(c_29409,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29390,c_127]) ).
tcf(c_29410,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(superposition,[status(thm)],[c_29390,c_7926]) ).
tcf(c_29411,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),sz00) ),
inference(superposition,[status(thm)],[c_29390,c_128]) ).
tcf(c_29412,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))) = sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29390,c_84]) ).
tcf(c_29413,plain,
! [X0: $i] :
( iLess0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29390,c_96]) ).
tcf(c_29414,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29409,c_134]) ).
tcf(c_29427,plain,
! [X0: $i] :
( iLess0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29413,c_134]) ).
tcf(c_29439,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))) = sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29412,c_134]) ).
tcf(c_29450,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29411,c_134]) ).
tcf(c_29462,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29410,c_134]) ).
tcf(c_29631,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_26221,c_29015]) ).
tcf(c_29632,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_8313,c_29015]) ).
tcf(c_29633,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_126,c_29015]) ).
tcf(c_29637,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29632,c_49]) ).
tcf(c_29645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6026,c_81]) ).
tcf(c_29646,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_6026,c_76]) ).
tcf(c_29647,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6026,c_27448]) ).
tcf(c_29648,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6026,c_21679]) ).
tcf(c_29649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),xn) ),
inference(superposition,[status(thm)],[c_6026,c_13445]) ).
tcf(c_29650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),xn) ),
inference(superposition,[status(thm)],[c_6026,c_13129]) ).
tcf(c_29653,plain,
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),xn) ),
inference(superposition,[status(thm)],[c_6026,c_8360]) ).
tcf(c_29654,plain,
( ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_6026,c_86]) ).
tcf(c_29655,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_6026,c_85]) ).
tcf(c_29656,plain,
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6026,c_188]) ).
tcf(c_29657,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6026,c_95]) ).
tcf(c_29658,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6026,c_52]) ).
tcf(c_29660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6026,c_79]) ).
tcf(c_29661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6026,c_79]) ).
tcf(c_29662,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_6026,c_88]) ).
tcf(c_29663,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6026,c_77]) ).
tcf(c_29664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtpldt0(X0,xn))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_6026,c_81]) ).
tcf(c_29665,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) != sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) ) ),
inference(superposition,[status(thm)],[c_6026,c_87]) ).
tcf(c_29666,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))),
inference(forward_subsumption_resolution,[status(thm)],[c_29657,c_49,c_5784]) ).
tcf(c_29667,plain,
sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))),
inference(forward_subsumption_resolution,[status(thm)],[c_29656,c_49,c_5784]) ).
tcf(c_29668,plain,
( ( xn = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29654,c_49,c_5784]) ).
tcf(c_29671,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29655,c_49,c_5784]) ).
tcf(c_29674,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) != sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29665,c_49,c_5784]) ).
tcf(c_29678,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29663,c_49,c_5784]) ).
tcf(c_29683,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) != sdtpldt0(X0,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29662,c_49,c_5784]) ).
tcf(c_29687,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29646,c_49,c_5784]) ).
tcf(c_29692,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29661,c_49,c_5784]) ).
tcf(c_29697,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29660,c_49,c_5784]) ).
tcf(c_29702,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29648,c_49,c_5784]) ).
tcf(c_29707,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29647,c_49,c_5784]) ).
tcf(c_29712,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtpldt0(X0,xn))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29664,c_49,c_5784]) ).
tcf(c_29717,plain,
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29653,c_49,c_5784]) ).
tcf(c_29722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29645,c_49,c_5784]) ).
tcf(c_29727,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29658,c_49,c_5784]) ).
tcf(c_29734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29650,c_49,c_5784]) ).
tcf(c_29742,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29649,c_49,c_5784]) ).
tcf(c_29849,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xp,xm)),sdtasdt0(X0,sdtpldt0(xp,xm))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28961,c_90]) ).
tcf(c_29850,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xm),X1),sdtasdt0(sdtpldt0(xp,xm),X0)) = sdtasdt0(sdtpldt0(xp,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28961,c_89]) ).
tcf(c_29851,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xm),X1),X0) = sdtasdt0(sdtpldt0(xp,xm),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28961,c_110]) ).
tcf(c_29852,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),X1),X0) = sdtpldt0(sdtpldt0(xp,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28961,c_93]) ).
tcf(c_29853,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),X0) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28961,c_195]) ).
tcf(c_29854,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xm),X0) = sdtasdt0(X0,sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28961,c_111]) ).
tcf(c_29855,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xm),X0) = sdtpldt0(X0,sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28961,c_94]) ).
tcf(c_29856,plain,
sdtpldt0(sdtpldt0(xp,xm),xm) = sdtpldt0(xm,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_28961,c_5080]) ).
tcf(c_29857,plain,
sdtpldt0(sdtpldt0(xp,xm),xn) = sdtpldt0(xn,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_28961,c_5079]) ).
tcf(c_29858,plain,
sdtasdt0(sz10,sdtpldt0(xp,xm)) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_28961,c_137]) ).
tcf(c_29859,plain,
sdtasdt0(sdtpldt0(xp,xm),sz10) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_28961,c_136]) ).
tcf(c_29860,plain,
sdtasdt0(sz00,sdtpldt0(xp,xm)) = sz00,
inference(superposition,[status(thm)],[c_28961,c_109]) ).
tcf(c_29861,plain,
sdtasdt0(sdtpldt0(xp,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_28961,c_108]) ).
tcf(c_29862,plain,
sdtpldt0(sz00,sdtpldt0(xp,xm)) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_28961,c_92]) ).
tcf(c_29863,plain,
sdtpldt0(sdtpldt0(xp,xm),sz00) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_28961,c_91]) ).
tcf(c_29989,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28962,c_127]) ).
tcf(c_29990,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_28962,c_7926]) ).
tcf(c_29991,plain,
( ( sdtpldt0(xp,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xm) ),
inference(superposition,[status(thm)],[c_28962,c_128]) ).
tcf(c_29992,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28962,c_84]) ).
tcf(c_29993,plain,
( iLess0(xm,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28962,c_96]) ).
tcf(c_29994,plain,
( iLess0(xm,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29993,c_50,c_28961]) ).
tcf(c_29997,plain,
sdtpldt0(xm,sK0(xm,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_29992,c_50,c_28961]) ).
tcf(c_29998,plain,
( ( sdtpldt0(xp,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29991,c_50,c_28961]) ).
tcf(c_30001,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29989,c_50,c_28961]) ).
tcf(c_30010,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),sdtpldt0(xr,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_28861,c_81]) ).
tcf(c_30011,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_28861,c_76]) ).
tcf(c_30012,plain,
( sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28861,c_27448]) ).
tcf(c_30013,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28861,c_21679]) ).
tcf(c_30014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_28861,c_13445]) ).
tcf(c_30015,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_28861,c_13129]) ).
tcf(c_30018,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_28861,c_8360]) ).
tcf(c_30019,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xr,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_28861,c_86]) ).
tcf(c_30020,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xr,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_28861,c_85]) ).
tcf(c_30021,plain,
( sdtlseqdt0(xm,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_28861,c_188]) ).
tcf(c_30022,plain,
( aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_28861,c_95]) ).
tcf(c_30023,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_28861,c_52]) ).
tcf(c_30024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xm,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_28861,c_79]) ).
tcf(c_30025,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xr,xm))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_28861,c_79]) ).
tcf(c_30026,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_28861,c_88]) ).
tcf(c_30027,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_28861,c_77]) ).
tcf(c_30028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(X0,xr))
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_28861,c_81]) ).
tcf(c_30029,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_28861,c_87]) ).
tcf(c_30030,plain,
aNaturalNumber0(sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_30022,c_66,c_50]) ).
tcf(c_30031,plain,
sdtlseqdt0(xm,sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_30021,c_66,c_50]) ).
tcf(c_30035,plain,
sdtpldt0(xr,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_30019,c_27859,c_66,c_50]) ).
tcf(c_30036,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30029,c_66,c_50]) ).
tcf(c_30040,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30027,c_66,c_50]) ).
tcf(c_30045,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xr) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30026,c_66,c_50]) ).
tcf(c_30049,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30011,c_66,c_50]) ).
tcf(c_30054,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(X0,xr))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30028,c_66,c_50]) ).
tcf(c_30059,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xr,xm))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30025,c_66,c_50]) ).
tcf(c_30064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xm,X0))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30024,c_66,c_50]) ).
tcf(c_30069,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),sdtpldt0(xr,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30010,c_66,c_50]) ).
tcf(c_30074,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30013,c_66,c_50]) ).
tcf(c_30079,plain,
( sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30012,c_66,c_50]) ).
tcf(c_30084,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30018,c_66,c_50]) ).
tcf(c_30089,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,xr))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30023,c_66,c_50]) ).
tcf(c_30096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30015,c_66,c_50]) ).
tcf(c_30104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xr),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30014,c_66,c_50]) ).
tcf(c_30246,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xr,xm)),sdtasdt0(X0,sdtpldt0(xr,xm))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30030,c_90]) ).
tcf(c_30247,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xr,xm),X1),sdtasdt0(sdtpldt0(xr,xm),X0)) = sdtasdt0(sdtpldt0(xr,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30030,c_89]) ).
tcf(c_30248,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xr,xm),X1),X0) = sdtasdt0(sdtpldt0(xr,xm),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30030,c_110]) ).
tcf(c_30249,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),X1),X0) = sdtpldt0(sdtpldt0(xr,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30030,c_93]) ).
tcf(c_30250,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(xr,xm)),X0) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30030,c_195]) ).
tcf(c_30251,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xr,xm),X0) = sdtasdt0(X0,sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30030,c_111]) ).
tcf(c_30252,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xr,xm),X0) = sdtpldt0(X0,sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30030,c_94]) ).
tcf(c_30253,plain,
sdtpldt0(sdtpldt0(xr,xm),xm) = sdtpldt0(xm,sdtpldt0(xr,xm)),
inference(superposition,[status(thm)],[c_30030,c_5080]) ).
tcf(c_30254,plain,
sdtpldt0(sdtpldt0(xr,xm),xn) = sdtpldt0(xn,sdtpldt0(xr,xm)),
inference(superposition,[status(thm)],[c_30030,c_5079]) ).
tcf(c_30255,plain,
sdtasdt0(sz10,sdtpldt0(xr,xm)) = sdtpldt0(xr,xm),
inference(superposition,[status(thm)],[c_30030,c_137]) ).
tcf(c_30256,plain,
sdtasdt0(sdtpldt0(xr,xm),sz10) = sdtpldt0(xr,xm),
inference(superposition,[status(thm)],[c_30030,c_136]) ).
tcf(c_30257,plain,
sdtasdt0(sz00,sdtpldt0(xr,xm)) = sz00,
inference(superposition,[status(thm)],[c_30030,c_109]) ).
tcf(c_30258,plain,
sdtasdt0(sdtpldt0(xr,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_30030,c_108]) ).
tcf(c_30259,plain,
sdtpldt0(sz00,sdtpldt0(xr,xm)) = sdtpldt0(xr,xm),
inference(superposition,[status(thm)],[c_30030,c_92]) ).
tcf(c_30260,plain,
sdtpldt0(sdtpldt0(xr,xm),sz00) = sdtpldt0(xr,xm),
inference(superposition,[status(thm)],[c_30030,c_91]) ).
tcf(c_30311,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30031,c_127]) ).
tcf(c_30312,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_30031,c_7926]) ).
tcf(c_30313,plain,
( ( sdtpldt0(xr,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xm) ),
inference(superposition,[status(thm)],[c_30031,c_128]) ).
tcf(c_30314,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30031,c_84]) ).
tcf(c_30315,plain,
( iLess0(xm,sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30031,c_96]) ).
tcf(c_30316,plain,
( iLess0(xm,sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30315,c_50,c_30030]) ).
tcf(c_30319,plain,
sdtpldt0(xm,sK0(xm,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_30314,c_50,c_30030]) ).
tcf(c_30320,plain,
( ( sdtpldt0(xr,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30313,c_50,c_30030]) ).
tcf(c_30323,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30311,c_50,c_30030]) ).
tcf(c_30329,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_28869,c_81]) ).
tcf(c_30330,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_28869,c_76]) ).
tcf(c_30331,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28869,c_27448]) ).
tcf(c_30332,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28869,c_21679]) ).
tcf(c_30333,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_28869,c_13445]) ).
tcf(c_30334,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_28869,c_13129]) ).
tcf(c_30337,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_28869,c_8360]) ).
tcf(c_30338,plain,
( ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(sz10,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_28869,c_86]) ).
tcf(c_30339,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(sz10,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_28869,c_85]) ).
tcf(c_30340,plain,
( sdtlseqdt0(xm,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_28869,c_188]) ).
tcf(c_30341,plain,
( aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_28869,c_95]) ).
tcf(c_30342,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xm,sz10))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_28869,c_52]) ).
tcf(c_30343,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(xm,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_28869,c_79]) ).
tcf(c_30344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_28869,c_79]) ).
tcf(c_30345,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_28869,c_88]) ).
tcf(c_30346,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xm) ),
inference(superposition,[status(thm)],[c_28869,c_77]) ).
tcf(c_30347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sz10))
| ( X0 = xm )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_28869,c_81]) ).
tcf(c_30348,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_28869,c_87]) ).
tcf(c_30349,plain,
aNaturalNumber0(sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_30341,c_138,c_50]) ).
tcf(c_30350,plain,
sdtlseqdt0(xm,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_30340,c_138,c_50]) ).
tcf(c_30354,plain,
sdtpldt0(sz10,xm) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_30338,c_139,c_138,c_50]) ).
tcf(c_30355,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30348,c_138,c_50]) ).
tcf(c_30359,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30346,c_138,c_50]) ).
tcf(c_30364,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30345,c_138,c_50]) ).
tcf(c_30368,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30330,c_138,c_50]) ).
tcf(c_30373,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sz10))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30347,c_138,c_50]) ).
tcf(c_30378,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30344,c_138,c_50]) ).
tcf(c_30383,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(xm,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30343,c_138,c_50]) ).
tcf(c_30388,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30329,c_138,c_50]) ).
tcf(c_30393,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30332,c_138,c_50]) ).
tcf(c_30398,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30331,c_138,c_50]) ).
tcf(c_30403,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30337,c_138,c_50]) ).
tcf(c_30409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30334,c_138,c_50]) ).
tcf(c_30417,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30333,c_138,c_50]) ).
tcf(c_30544,plain,
( sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_26221,c_30084]) ).
tcf(c_30545,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_8313,c_30084]) ).
tcf(c_30546,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_126,c_30084]) ).
tcf(c_30550,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30545,c_49,c_30030]) ).
tcf(c_30565,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_26221,c_30403]) ).
tcf(c_30566,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_8313,c_30403]) ).
tcf(c_30567,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_126,c_30403]) ).
tcf(c_30571,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30566,c_49]) ).
tcf(c_30591,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_26220,c_127]) ).
tcf(c_30592,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26220,c_7926]) ).
tcf(c_30593,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_26220,c_128]) ).
tcf(c_30594,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26220,c_84]) ).
tcf(c_30595,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26220,c_96]) ).
tcf(c_30608,plain,
( sdtlseqdt0(sdtpldt0(xn,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),sK0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26220,c_11265]) ).
tcf(c_30609,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30595,c_134]) ).
tcf(c_30615,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30594,c_134]) ).
tcf(c_30620,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30593,c_134]) ).
tcf(c_30626,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30591,c_134]) ).
tcf(c_30634,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),sK0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_30608,c_4693]) ).
tcf(c_30635,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),sK0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30634,c_134]) ).
tcf(c_30649,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_26221,c_23760]) ).
tcf(c_30650,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_8313,c_23760]) ).
tcf(c_30651,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_126,c_23760]) ).
tcf(c_30663,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26236,c_95]) ).
tcf(c_30676,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_30663,c_127]) ).
tcf(c_30677,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),xn) ),
inference(superposition,[status(thm)],[c_30663,c_7926]) ).
tcf(c_30678,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),sz00) ),
inference(superposition,[status(thm)],[c_30663,c_128]) ).
tcf(c_30679,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))) = sdtpldt0(sdtsldt0(xn,xr),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_30663,c_84]) ).
tcf(c_30680,plain,
! [X0: $i] :
( iLess0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_30663,c_96]) ).
tcf(c_30681,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30677,c_134]) ).
tcf(c_30688,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30676,c_134]) ).
tcf(c_30696,plain,
! [X0: $i] :
( iLess0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30680,c_134]) ).
tcf(c_30703,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))) = sdtpldt0(sdtsldt0(xn,xr),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30679,c_134]) ).
tcf(c_30709,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30678,c_134]) ).
tcf(c_30759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6027,c_104]) ).
tcf(c_30760,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6027,c_28161]) ).
tcf(c_30761,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6027,c_23072]) ).
tcf(c_30762,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_6027,c_16382]) ).
tcf(c_30763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6027,c_16055]) ).
tcf(c_30766,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_6027,c_9145]) ).
tcf(c_30768,plain,
( doDivides0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6027,c_185]) ).
tcf(c_30770,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6027,c_100]) ).
tcf(c_30771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6027,c_102]) ).
tcf(c_30772,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) != sdtpldt0(xn,sdtpldt0(xn,xm)) ) ),
inference(superposition,[status(thm)],[c_6027,c_107]) ).
tcf(c_30773,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6027,c_104]) ).
tcf(c_30774,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sdtasdt0(sz10,X0) ) ),
inference(superposition,[status(thm)],[c_6027,c_106]) ).
tcf(c_30775,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_6027,c_102]) ).
tcf(c_30776,plain,
doDivides0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_30768,c_138,c_5784]) ).
tcf(c_30777,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30770,c_138,c_5784]) ).
tcf(c_30780,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sdtasdt0(sz10,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30774,c_139,c_138,c_5784]) ).
tcf(c_30784,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) != sdtpldt0(xn,sdtpldt0(xn,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30772,c_138,c_5784]) ).
tcf(c_30789,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30761,c_138,c_5784]) ).
tcf(c_30795,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30760,c_138,c_5784]) ).
tcf(c_30801,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtasdt0(sz10,X0))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30775,c_139,c_138,c_5784]) ).
tcf(c_30806,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30773,c_138,c_5784]) ).
tcf(c_30812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30771,c_139,c_138,c_5784]) ).
tcf(c_30817,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30766,c_138,c_5784]) ).
tcf(c_30823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30759,c_138,c_5784]) ).
tcf(c_30829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30763,c_139,c_138,c_5784]) ).
tcf(c_30837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30762,c_138,c_5784]) ).
tcf(c_30853,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(sz10,xm)),sdtasdt0(X0,sdtpldt0(sz10,xm))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30349,c_90]) ).
tcf(c_30854,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xm),X1),sdtasdt0(sdtpldt0(sz10,xm),X0)) = sdtasdt0(sdtpldt0(sz10,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30349,c_89]) ).
tcf(c_30855,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xm),X1),X0) = sdtasdt0(sdtpldt0(sz10,xm),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30349,c_110]) ).
tcf(c_30856,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xm),X1),X0) = sdtpldt0(sdtpldt0(sz10,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30349,c_93]) ).
tcf(c_30857,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),X0) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30349,c_195]) ).
tcf(c_30858,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xm),X0) = sdtasdt0(X0,sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30349,c_111]) ).
tcf(c_30859,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xm),X0) = sdtpldt0(X0,sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30349,c_94]) ).
tcf(c_30860,plain,
sdtpldt0(sdtpldt0(sz10,xm),xm) = sdtpldt0(xm,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_30349,c_5080]) ).
tcf(c_30861,plain,
sdtpldt0(sdtpldt0(sz10,xm),xn) = sdtpldt0(xn,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_30349,c_5079]) ).
tcf(c_30862,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xm)) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_30349,c_137]) ).
tcf(c_30863,plain,
sdtasdt0(sdtpldt0(sz10,xm),sz10) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_30349,c_136]) ).
tcf(c_30864,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xm)) = sz00,
inference(superposition,[status(thm)],[c_30349,c_109]) ).
tcf(c_30865,plain,
sdtasdt0(sdtpldt0(sz10,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_30349,c_108]) ).
tcf(c_30866,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xm)) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_30349,c_92]) ).
tcf(c_30867,plain,
sdtpldt0(sdtpldt0(sz10,xm),sz00) = sdtpldt0(sz10,xm),
inference(superposition,[status(thm)],[c_30349,c_91]) ).
tcf(c_31063,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_31069,plain,
( ( sdtpldt0(sdtsldt0(xn,xr),sz00) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_31091,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30350,c_127]) ).
tcf(c_31092,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_30350,c_7926]) ).
tcf(c_31093,plain,
( ( sdtpldt0(sz10,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xm) ),
inference(superposition,[status(thm)],[c_30350,c_128]) ).
tcf(c_31094,plain,
( ( sdtpldt0(xm,sK0(xm,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30350,c_84]) ).
tcf(c_31095,plain,
( iLess0(xm,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30350,c_96]) ).
tcf(c_31096,plain,
( iLess0(xm,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31095,c_50,c_30349]) ).
tcf(c_31099,plain,
sdtpldt0(xm,sK0(xm,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_31094,c_50,c_30349]) ).
tcf(c_31100,plain,
( ( sdtpldt0(sz10,xm) = xm )
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31093,c_50,c_30349]) ).
tcf(c_31103,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31091,c_50,c_30349]) ).
tcf(c_31109,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_30776,c_130]) ).
tcf(c_31110,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz10)) = sdtpldt0(xn,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_30776,c_133]) ).
tcf(c_31112,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtpldt0(xn,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_30776,c_99]) ).
tcf(c_31114,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_30776,c_114]) ).
tcf(c_31116,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31114,c_138,c_5784]) ).
tcf(c_31120,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtpldt0(xn,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_31112,c_138,c_5784]) ).
tcf(c_31121,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz10)) = sdtpldt0(xn,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_31110,c_139,c_138,c_5784]) ).
tcf(c_31122,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31109,c_139,c_138,c_5784]) ).
tcf(c_31127,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))),sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29666,c_90]) ).
tcf(c_31128,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),X1),sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),X0)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29666,c_89]) ).
tcf(c_31129,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),X1),X0) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29666,c_110]) ).
tcf(c_31130,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),X1),X0) = sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29666,c_93]) ).
tcf(c_31131,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))),X0) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29666,c_195]) ).
tcf(c_31132,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29666,c_111]) ).
tcf(c_31133,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29666,c_94]) ).
tcf(c_31134,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))),
inference(superposition,[status(thm)],[c_29666,c_5080]) ).
tcf(c_31135,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))),
inference(superposition,[status(thm)],[c_29666,c_5079]) ).
tcf(c_31136,plain,
sdtasdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(superposition,[status(thm)],[c_29666,c_137]) ).
tcf(c_31137,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sz10) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(superposition,[status(thm)],[c_29666,c_136]) ).
tcf(c_31138,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sz00,
inference(superposition,[status(thm)],[c_29666,c_109]) ).
tcf(c_31139,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29666,c_108]) ).
tcf(c_31140,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(superposition,[status(thm)],[c_29666,c_92]) ).
tcf(c_31141,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sz00) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(superposition,[status(thm)],[c_29666,c_91]) ).
tcf(c_31167,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29860,c_104]) ).
tcf(c_31169,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29860,c_23072]) ).
tcf(c_31170,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29860,c_16382]) ).
tcf(c_31174,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29860,c_9145]) ).
tcf(c_31180,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(X0,sdtpldt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_29860,c_107]) ).
tcf(c_31181,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29860,c_104]) ).
tcf(c_31184,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31180,c_28966,c_134,c_28961]) ).
tcf(c_31188,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31181,c_28966,c_134,c_28961]) ).
tcf(c_31193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31167,c_28966,c_134,c_28961]) ).
tcf(c_31200,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31170,c_28966,c_134,c_4997,c_28961]) ).
tcf(c_31211,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29861,c_16055]) ).
tcf(c_31216,plain,
( doDivides0(sdtpldt0(xp,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29861,c_185]) ).
tcf(c_31219,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29861,c_102]) ).
tcf(c_31222,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(sdtpldt0(xp,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_29861,c_106]) ).
tcf(c_31223,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29861,c_102]) ).
tcf(c_31224,plain,
doDivides0(sdtpldt0(xp,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_31216,c_134,c_28961]) ).
tcf(c_31225,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31222,c_28966,c_134,c_28961]) ).
tcf(c_31229,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31223,c_28966,c_134,c_28961]) ).
tcf(c_31234,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31219,c_28966,c_134,c_28961]) ).
tcf(c_31239,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31211,c_28966,c_134,c_4997,c_28961]) ).
tcf(c_31246,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_31224,c_130]) ).
tcf(c_31247,plain,
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xm),sdtsldt0(sz00,sdtpldt0(xp,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_31224,c_133]) ).
tcf(c_31249,plain,
( ( sdtasdt0(sdtpldt0(xp,xm),sK1(sdtpldt0(xp,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_31224,c_99]) ).
tcf(c_31251,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_31224,c_114]) ).
tcf(c_31252,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31251,c_134,c_28961]) ).
tcf(c_31256,plain,
sdtasdt0(sdtpldt0(xp,xm),sK1(sdtpldt0(xp,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_31249,c_134,c_28961]) ).
tcf(c_31257,plain,
sdtasdt0(sdtpldt0(xp,xm),sdtsldt0(sz00,sdtpldt0(xp,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_31247,c_28966,c_134,c_28961]) ).
tcf(c_31258,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31246,c_28966,c_134,c_28961]) ).
tcf(c_31262,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(X0)
| ( X0 = sz00 )
| ( X0 = sz10 ) ),
inference(global_subsumption_just,[status(thm)],[c_26219,c_135,c_25470]) ).
tcf(c_31263,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(renaming,[status(thm)],[c_31262]) ).
tcf(c_31272,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz10 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_31263,c_127]) ).
tcf(c_31273,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_31263,c_7926]) ).
tcf(c_31274,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_31263,c_128]) ).
tcf(c_31275,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31263,c_84]) ).
tcf(c_31276,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31263,c_96]) ).
tcf(c_31280,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_31263,c_8012]) ).
tcf(c_31289,plain,
( sdtlseqdt0(sdtpldt0(xn,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_31263,c_11265]) ).
tcf(c_31290,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31276,c_134]) ).
tcf(c_31295,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31274,c_134]) ).
tcf(c_31300,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31275,c_134]) ).
tcf(c_31305,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz10 )
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31272,c_134]) ).
tcf(c_31312,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31273,c_134]) ).
tcf(c_31320,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31280,c_134,c_49]) ).
tcf(c_31328,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_31289,c_4693]) ).
tcf(c_31329,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31328,c_134]) ).
tcf(c_31345,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_26221,c_29717]) ).
tcf(c_31346,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_8313,c_29717]) ).
tcf(c_31347,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_126,c_29717]) ).
tcf(c_31375,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26237,c_112]) ).
tcf(c_31391,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_31375,c_127]) ).
tcf(c_31392,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),xn) ),
inference(superposition,[status(thm)],[c_31375,c_7926]) ).
tcf(c_31393,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(sdtsldt0(xn,xr),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sz00) ),
inference(superposition,[status(thm)],[c_31375,c_128]) ).
tcf(c_31394,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))) = sdtasdt0(sdtsldt0(xn,xr),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_31375,c_84]) ).
tcf(c_31395,plain,
! [X0: $i] :
( iLess0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(sdtsldt0(xn,xr),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_31375,c_96]) ).
tcf(c_31396,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31392,c_134]) ).
tcf(c_31404,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31391,c_134]) ).
tcf(c_31413,plain,
! [X0: $i] :
( iLess0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(sdtsldt0(xn,xr),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31395,c_134]) ).
tcf(c_31421,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))) = sdtasdt0(sdtsldt0(xn,xr),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31394,c_134]) ).
tcf(c_31428,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(sdtsldt0(xn,xr),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0))
| ~ sdtlseqdt0(sdtasdt0(sdtsldt0(xn,xr),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31393,c_134]) ).
tcf(c_31454,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_26842,c_52]) ).
tcf(c_31455,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| doDivides0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),X0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0))
| ~ doDivides0(X0,sdtasdt0(xn,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_26842,c_6747]) ).
tcf(c_31456,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| iLess0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26842,c_127]) ).
tcf(c_31458,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| iLess0(X1,X0)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_26842,c_128]) ).
tcf(c_31459,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26842,c_84]) ).
tcf(c_31460,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26842,c_96]) ).
tcf(c_31462,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26842,c_11272]) ).
tcf(c_31463,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_26842,c_24316]) ).
tcf(c_31594,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6028,c_104]) ).
tcf(c_31595,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6028,c_28161]) ).
tcf(c_31596,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6028,c_23072]) ).
tcf(c_31597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6028,c_16382]) ).
tcf(c_31598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_6028,c_16055]) ).
tcf(c_31601,plain,
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_6028,c_9145]) ).
tcf(c_31603,plain,
( doDivides0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6028,c_185]) ).
tcf(c_31605,plain,
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6028,c_100]) ).
tcf(c_31606,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6028,c_102]) ).
tcf(c_31607,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sdtasdt0(X0,sz10) ) ),
inference(superposition,[status(thm)],[c_6028,c_107]) ).
tcf(c_31608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_6028,c_104]) ).
tcf(c_31609,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) != sdtpldt0(xn,sdtpldt0(xn,xm)) ) ),
inference(superposition,[status(thm)],[c_6028,c_106]) ).
tcf(c_31610,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6028,c_102]) ).
tcf(c_31611,plain,
doDivides0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_31603,c_138,c_5784]) ).
tcf(c_31612,plain,
sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_31605,c_139,c_138,c_5784]) ).
tcf(c_31613,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sdtasdt0(X0,sz10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31607,c_139,c_138,c_5784]) ).
tcf(c_31617,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) != sdtpldt0(xn,sdtpldt0(xn,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31609,c_138,c_5784]) ).
tcf(c_31622,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31596,c_139,c_138,c_5784]) ).
tcf(c_31627,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31595,c_139,c_138,c_5784]) ).
tcf(c_31632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31610,c_138,c_5784]) ).
tcf(c_31638,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtasdt0(X0,sz10))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31608,c_139,c_138,c_5784]) ).
tcf(c_31643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31606,c_138,c_5784]) ).
tcf(c_31649,plain,
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31601,c_139,c_138,c_5784]) ).
tcf(c_31654,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31594,c_139,c_138,c_5784]) ).
tcf(c_31659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31598,c_138,c_5784]) ).
tcf(c_31668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31597,c_139,c_138,c_5784]) ).
tcf(c_31764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30257,c_104]) ).
tcf(c_31766,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30257,c_23072]) ).
tcf(c_31767,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30257,c_16382]) ).
tcf(c_31771,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30257,c_9145]) ).
tcf(c_31777,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtasdt0(X0,sdtpldt0(xr,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_30257,c_107]) ).
tcf(c_31778,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xr,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30257,c_104]) ).
tcf(c_31781,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xr,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31777,c_30035,c_134,c_30030]) ).
tcf(c_31785,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xr,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31778,c_30035,c_134,c_30030]) ).
tcf(c_31790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31764,c_30035,c_134,c_30030]) ).
tcf(c_31797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31767,c_30035,c_134,c_4997,c_30030]) ).
tcf(c_31808,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30258,c_16055]) ).
tcf(c_31813,plain,
( doDivides0(sdtpldt0(xr,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30258,c_185]) ).
tcf(c_31816,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30258,c_102]) ).
tcf(c_31819,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtasdt0(sdtpldt0(xr,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_30258,c_106]) ).
tcf(c_31820,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xr,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30258,c_102]) ).
tcf(c_31821,plain,
doDivides0(sdtpldt0(xr,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_31813,c_134,c_30030]) ).
tcf(c_31822,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xr,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31819,c_30035,c_134,c_30030]) ).
tcf(c_31826,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xr,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31820,c_30035,c_134,c_30030]) ).
tcf(c_31831,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xm),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31816,c_30035,c_134,c_30030]) ).
tcf(c_31836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31808,c_30035,c_134,c_4997,c_30030]) ).
tcf(c_31843,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xr,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_31821,c_130]) ).
tcf(c_31844,plain,
( ( sdtpldt0(xr,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xr,xm),sdtsldt0(sz00,sdtpldt0(xr,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_31821,c_133]) ).
tcf(c_31846,plain,
( ( sdtasdt0(sdtpldt0(xr,xm),sK1(sdtpldt0(xr,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_31821,c_99]) ).
tcf(c_31848,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ doDivides0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_31821,c_114]) ).
tcf(c_31849,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31848,c_134,c_30030]) ).
tcf(c_31853,plain,
sdtasdt0(sdtpldt0(xr,xm),sK1(sdtpldt0(xr,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_31846,c_134,c_30030]) ).
tcf(c_31854,plain,
sdtasdt0(sdtpldt0(xr,xm),sdtsldt0(sz00,sdtpldt0(xr,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_31844,c_30035,c_134,c_30030]) ).
tcf(c_31855,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xr,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31843,c_30035,c_134,c_30030]) ).
tcf(c_31859,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30864,c_104]) ).
tcf(c_31861,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30864,c_23072]) ).
tcf(c_31862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30864,c_16382]) ).
tcf(c_31866,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30864,c_9145]) ).
tcf(c_31872,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(X0,sdtpldt0(sz10,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_30864,c_107]) ).
tcf(c_31873,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30864,c_104]) ).
tcf(c_31876,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31872,c_30354,c_134,c_30349]) ).
tcf(c_31880,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31873,c_30354,c_134,c_30349]) ).
tcf(c_31885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31859,c_30354,c_134,c_30349]) ).
tcf(c_31892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31862,c_30354,c_134,c_4997,c_30349]) ).
tcf(c_31903,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30865,c_16055]) ).
tcf(c_31908,plain,
( doDivides0(sdtpldt0(sz10,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30865,c_185]) ).
tcf(c_31911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30865,c_102]) ).
tcf(c_31914,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(sdtpldt0(sz10,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_30865,c_106]) ).
tcf(c_31915,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30865,c_102]) ).
tcf(c_31916,plain,
doDivides0(sdtpldt0(sz10,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_31908,c_134,c_30349]) ).
tcf(c_31917,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31914,c_30354,c_134,c_30349]) ).
tcf(c_31921,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31915,c_30354,c_134,c_30349]) ).
tcf(c_31926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31911,c_30354,c_134,c_30349]) ).
tcf(c_31931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31903,c_30354,c_134,c_4997,c_30349]) ).
tcf(c_31976,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_31916,c_130]) ).
tcf(c_31977,plain,
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xm),sdtsldt0(sz00,sdtpldt0(sz10,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_31916,c_133]) ).
tcf(c_31979,plain,
( ( sdtasdt0(sdtpldt0(sz10,xm),sK1(sdtpldt0(sz10,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_31916,c_99]) ).
tcf(c_31981,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_31916,c_114]) ).
tcf(c_31982,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31981,c_134,c_30349]) ).
tcf(c_31986,plain,
sdtasdt0(sdtpldt0(sz10,xm),sK1(sdtpldt0(sz10,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_31979,c_134,c_30349]) ).
tcf(c_31987,plain,
sdtasdt0(sdtpldt0(sz10,xm),sdtsldt0(sz00,sdtpldt0(sz10,xm))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_31977,c_30354,c_134,c_30349]) ).
tcf(c_31988,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31976,c_30354,c_134,c_30349]) ).
tcf(c_31992,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29858,c_104]) ).
tcf(c_31993,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29858,c_28161]) ).
tcf(c_31994,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29858,c_23072]) ).
tcf(c_31995,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_29858,c_16382]) ).
tcf(c_31996,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29858,c_16055]) ).
tcf(c_31999,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_29858,c_9145]) ).
tcf(c_32001,plain,
( doDivides0(sz10,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29858,c_185]) ).
tcf(c_32003,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29858,c_100]) ).
tcf(c_32004,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29858,c_102]) ).
tcf(c_32005,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(X0,sdtpldt0(xp,xm)) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_29858,c_107]) ).
tcf(c_32006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29858,c_104]) ).
tcf(c_32007,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_29858,c_106]) ).
tcf(c_32008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_29858,c_102]) ).
tcf(c_32009,plain,
doDivides0(sz10,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_32001,c_138,c_28961]) ).
tcf(c_32010,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_32003,c_28966,c_138,c_28961]) ).
tcf(c_32011,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32007,c_139,c_138,c_28961]) ).
tcf(c_32015,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xm)) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32005,c_28966,c_138,c_28961]) ).
tcf(c_32019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32008,c_139,c_138,c_28961]) ).
tcf(c_32024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32006,c_28966,c_138,c_28961]) ).
tcf(c_32029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32004,c_139,c_138,c_28961]) ).
tcf(c_32034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31992,c_28966,c_138,c_28961]) ).
tcf(c_32039,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31994,c_28966,c_138,c_28961]) ).
tcf(c_32044,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31993,c_28966,c_138,c_28961]) ).
tcf(c_32049,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31999,c_28966,c_138,c_28961]) ).
tcf(c_32054,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31996,c_139,c_138,c_28961]) ).
tcf(c_32062,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31995,c_28966,c_138,c_28961]) ).
tcf(c_32109,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_32009,c_130]) ).
tcf(c_32110,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,xm),sz10)) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_32009,c_133]) ).
tcf(c_32112,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_32009,c_99]) ).
tcf(c_32114,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_32009,c_114]) ).
tcf(c_32116,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32114,c_138,c_28961]) ).
tcf(c_32120,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_32112,c_138,c_28961]) ).
tcf(c_32121,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,xm),sz10)) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_32110,c_139,c_138,c_28961]) ).
tcf(c_32122,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32109,c_139,c_138,c_28961]) ).
tcf(c_32165,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_31463,c_6729,c_31463]) ).
tcf(c_32166,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_32165]) ).
tcf(c_32187,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_32166]) ).
tcf(c_32188,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_32166]) ).
tcf(c_32189,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_32166]) ).
tcf(c_32191,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_32166]) ).
tcf(c_32202,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32189,c_49]) ).
tcf(c_32213,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32188,c_49]) ).
tcf(c_32226,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32187,c_49]) ).
tcf(c_32247,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,xm))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_26221,c_32049]) ).
tcf(c_32248,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_8313,c_32049]) ).
tcf(c_32249,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_126,c_32049]) ).
tcf(c_32253,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32248,c_49,c_28961]) ).
tcf(c_32268,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_31649,c_127]) ).
tcf(c_32270,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_31649,c_128]) ).
tcf(c_32271,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sK0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_31649,c_84]) ).
tcf(c_32272,plain,
( iLess0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_31649,c_96]) ).
tcf(c_32273,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32268,c_5784]) ).
tcf(c_32280,plain,
( iLess0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32272,c_5784]) ).
tcf(c_32286,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sK0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32271,c_5784]) ).
tcf(c_32291,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32270,c_5784]) ).
tcf(c_32308,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_26221,c_30817]) ).
tcf(c_32309,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_8313,c_30817]) ).
tcf(c_32310,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_126,c_30817]) ).
tcf(c_32314,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32309,c_49,c_5784]) ).
tcf(c_32321,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32308,c_49,c_5784]) ).
tcf(c_32383,plain,
( sdtlseqdt0(sz10,xk)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_69,c_25716]) ).
tcf(c_32385,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_25716]) ).
tcf(c_32386,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_25716]) ).
tcf(c_32387,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_25716]) ).
tcf(c_32388,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_79,c_25716]) ).
tcf(c_32389,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_25716]) ).
tcf(c_32390,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_188,c_25716]) ).
tcf(c_32391,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_25716]) ).
tcf(c_32392,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X0,X2))
| sdtlseqdt0(sdtasdt0(X0,X1),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_25716]) ).
tcf(c_32393,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,sdtasdt0(X2,X1))
| sdtlseqdt0(sdtasdt0(X0,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_104,c_25716]) ).
tcf(c_32395,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_25716]) ).
tcf(c_32396,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25197,c_25716]) ).
tcf(c_32397,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25066,c_25716]) ).
tcf(c_32398,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_135,c_25716]) ).
tcf(c_32399,plain,
( sdtlseqdt0(sz10,sz00)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4992,c_25716]) ).
tcf(c_32400,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5002,c_25716]) ).
tcf(c_32401,plain,
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5001,c_25716]) ).
tcf(c_32405,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4997,c_25716]) ).
tcf(c_32406,plain,
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_4996,c_25716]) ).
tcf(c_32410,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5022,c_25716]) ).
tcf(c_32411,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5405,c_25716]) ).
tcf(c_32413,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5493,c_25716]) ).
tcf(c_32414,plain,
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5490,c_25716]) ).
tcf(c_32417,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26179,c_25716]) ).
tcf(c_32418,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26051,c_25716]) ).
tcf(c_32421,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28161,c_25716]) ).
tcf(c_32422,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27448,c_25716]) ).
tcf(c_32423,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25154,c_25716]) ).
tcf(c_32424,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23072,c_25716]) ).
tcf(c_32425,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21679,c_25716]) ).
tcf(c_32426,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8306,c_25716]) ).
tcf(c_32427,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8299,c_25716]) ).
tcf(c_32428,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8293,c_25716]) ).
tcf(c_32429,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8287,c_25716]) ).
tcf(c_32431,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8054,c_25716]) ).
tcf(c_32432,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_31263,c_25716]) ).
tcf(c_32433,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26220,c_25716]) ).
tcf(c_32434,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_25716]) ).
tcf(c_32435,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26179,c_25716]) ).
tcf(c_32436,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26051,c_25716]) ).
tcf(c_32437,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25446,c_25716]) ).
tcf(c_32438,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25445,c_25716]) ).
tcf(c_32439,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25308,c_25716]) ).
tcf(c_32440,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_25716]) ).
tcf(c_32441,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19709,c_25716]) ).
tcf(c_32442,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17870,c_25716]) ).
tcf(c_32443,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_20454,c_25716]) ).
tcf(c_32444,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18192,c_25716]) ).
tcf(c_32445,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8110,c_25716]) ).
tcf(c_32446,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8116,c_25716]) ).
tcf(c_32447,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8059,c_25716]) ).
tcf(c_32448,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8038,c_25716]) ).
tcf(c_32449,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_5785,c_25716]) ).
tcf(c_32450,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5982,c_25716]) ).
tcf(c_32459,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_6800,c_25716]) ).
tcf(c_32460,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xm))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_7238,c_25716]) ).
tcf(c_32464,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26842,c_25716]) ).
tcf(c_32465,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_25716]) ).
tcf(c_32466,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_25716]) ).
tcf(c_32467,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18337,c_25716]) ).
tcf(c_32468,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8048,c_25716]) ).
tcf(c_32469,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19193,c_25716]) ).
tcf(c_32470,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8080,c_25716]) ).
tcf(c_32471,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8099,c_25716]) ).
tcf(c_32472,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8043,c_25716]) ).
tcf(c_32473,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_8086,c_25716]) ).
tcf(c_32474,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27750,c_25716]) ).
tcf(c_32475,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_25716]) ).
tcf(c_32476,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21679,c_25716]) ).
tcf(c_32477,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_23072,c_25716]) ).
tcf(c_32478,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_17695,c_25716]) ).
tcf(c_32479,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_21334,c_25716]) ).
tcf(c_32480,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_22438,c_25716]) ).
tcf(c_32481,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26638,c_25716]) ).
tcf(c_32482,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26248,c_25716]) ).
tcf(c_32483,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_25716]) ).
tcf(c_32484,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11890,c_25716]) ).
tcf(c_32485,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11883,c_25716]) ).
tcf(c_32486,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_14099,c_25716]) ).
tcf(c_32491,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21012,c_25716]) ).
tcf(c_32495,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_23582,c_25716]) ).
tcf(c_32497,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23712,c_25716]) ).
tcf(c_32498,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_31649,c_25716]) ).
tcf(c_32499,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24872,c_25716]) ).
tcf(c_32500,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24741,c_25716]) ).
tcf(c_32501,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27448,c_25716]) ).
tcf(c_32502,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_28161,c_25716]) ).
tcf(c_32503,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_30663,c_25716]) ).
tcf(c_32504,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_31375,c_25716]) ).
tcf(c_32505,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29217,c_25716]) ).
tcf(c_32506,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29390,c_25716]) ).
tcf(c_32508,plain,
( sdtlseqdt0(sz10,sdtpldt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30031,c_25716]) ).
tcf(c_32509,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30350,c_25716]) ).
tcf(c_32511,plain,
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32401,c_50]) ).
tcf(c_32517,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32400,c_49]) ).
tcf(c_32524,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32448,c_138]) ).
tcf(c_32530,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32446,c_138]) ).
tcf(c_32538,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32410,c_49]) ).
tcf(c_32546,plain,
( sdtlseqdt0(sz10,xk)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32383,c_66]) ).
tcf(c_32553,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32445,c_138]) ).
tcf(c_32581,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32481,c_50]) ).
tcf(c_32589,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32474,c_49]) ).
tcf(c_32598,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32468,c_50]) ).
tcf(c_32605,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32459,c_5404]) ).
tcf(c_32611,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32439,c_134]) ).
tcf(c_32619,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32438,c_134]) ).
tcf(c_32627,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32437,c_134]) ).
tcf(c_32635,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32436,c_134]) ).
tcf(c_32643,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32435,c_134]) ).
tcf(c_32653,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32397,c_138]) ).
tcf(c_32661,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32396,c_138]) ).
tcf(c_32685,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32509,c_50,c_30349]) ).
tcf(c_32691,plain,
( sdtlseqdt0(sz10,sdtpldt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32508,c_50,c_30030]) ).
tcf(c_32698,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32450,c_66,c_49]) ).
tcf(c_32705,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32440,c_138]) ).
tcf(c_32713,plain,
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32414,c_138,c_50]) ).
tcf(c_32721,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32411,c_50,c_5404]) ).
tcf(c_32727,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32444,c_138]) ).
tcf(c_32734,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32443,c_138]) ).
tcf(c_32741,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32470,c_66]) ).
tcf(c_32807,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32432,c_134]) ).
tcf(c_32816,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32398,c_138]) ).
tcf(c_32843,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32480,c_5707]) ).
tcf(c_32850,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32479,c_5662]) ).
tcf(c_32857,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32478,c_5447]) ).
tcf(c_32864,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32473,c_5404]) ).
tcf(c_32871,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32442,c_138]) ).
tcf(c_32879,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32441,c_138]) ).
tcf(c_32887,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32469,c_66]) ).
tcf(c_32895,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32467,c_50]) ).
tcf(c_32903,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32503,c_134]) ).
tcf(c_32911,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32475,c_49]) ).
tcf(c_32921,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32434,c_134]) ).
tcf(c_32958,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32497,c_5707,c_23711]) ).
tcf(c_32964,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32491,c_5662,c_21011]) ).
tcf(c_32970,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32486,c_5447,c_14098]) ).
tcf(c_32986,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32449,c_5404,c_5784]) ).
tcf(c_32992,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32433,c_134]) ).
tcf(c_33000,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32504,c_134]) ).
tcf(c_33010,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32498,c_5784]) ).
tcf(c_33099,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32483,c_134]) ).
tcf(c_33111,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32482,c_134]) ).
tcf(c_33121,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32505,c_134]) ).
tcf(c_33134,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32500,c_49]) ).
tcf(c_33147,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32506,c_134]) ).
tcf(c_33161,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32499,c_49]) ).
tcf(c_33249,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ( xr = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xr,xn) ),
inference(instantiation,[status(thm)],[c_10431]) ).
tcf(c_33421,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X1),xn) ),
inference(global_subsumption_just,[status(thm)],[c_28013,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_9145,c_33249]) ).
tcf(c_33438,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sz00,xn) ),
inference(superposition,[status(thm)],[c_7111,c_33421]) ).
tcf(c_33448,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xn) ),
inference(superposition,[status(thm)],[c_7403,c_33421]) ).
tcf(c_33451,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn) ),
inference(superposition,[status(thm)],[c_7406,c_33421]) ).
tcf(c_33485,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33451,c_139,c_66,c_138]) ).
tcf(c_33493,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33448,c_139,c_138,c_49,c_8634]) ).
tcf(c_33512,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33438,c_139,c_138,c_134,c_8629]) ).
tcf(c_33602,plain,
( ( sdtsldt0(xn,xr) = xn )
| sdtlseqdt0(xn,sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_32538,c_33493]) ).
tcf(c_33603,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(renaming,[status(thm)],[c_33602]) ).
tcf(c_33614,plain,
sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)),
inference(global_subsumption_just,[status(thm)],[c_32495,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_10148,c_33249]) ).
tcf(c_33620,plain,
( ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_33614,c_84]) ).
tcf(c_33625,plain,
sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr),
inference(global_subsumption_just,[status(thm)],[c_33620,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_33620]) ).
tcf(c_33627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_33625,c_81]) ).
tcf(c_33628,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_33625,c_76]) ).
tcf(c_33631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_33625,c_13445]) ).
tcf(c_33632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_33625,c_13129]) ).
tcf(c_33636,plain,
( ( sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_33625,c_86]) ).
tcf(c_33640,plain,
! [X0: $i] :
( doDivides0(X0,sdtsldt0(xn,xr))
| doDivides0(X0,sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_33625,c_52]) ).
tcf(c_33641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)),X0) ),
inference(superposition,[status(thm)],[c_33625,c_79]) ).
tcf(c_33642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_33625,c_79]) ).
tcf(c_33643,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtpldt0(X0,sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_33625,c_88]) ).
tcf(c_33645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_33625,c_81]) ).
tcf(c_33646,plain,
! [X0: $i] :
( ( sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtpldt0(sdtsldt0(xn,xr),X0) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_33625,c_87]) ).
tcf(c_33649,plain,
( doDivides0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)),xn)
| doDivides0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ isPrime0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ iLess0(sdtsldt0(xn,xr),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ doDivides0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)),sdtasdt0(xn,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_33625,c_6747]) ).
tcf(c_33726,plain,
( ( sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ( sdtpldt0(sdtsldt0(xn,xr),sz00) != sdtsldt0(xn,xr) ) ),
inference(instantiation,[status(thm)],[c_33646]) ).
tcf(c_33731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6031,c_81]) ).
tcf(c_33734,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6031,c_21679]) ).
tcf(c_33735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_6031,c_13445]) ).
tcf(c_33736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6031,c_13129]) ).
tcf(c_33739,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_6031,c_8360]) ).
tcf(c_33742,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6031,c_188]) ).
tcf(c_33744,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6031,c_52]) ).
tcf(c_33745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_6031,c_79]) ).
tcf(c_33746,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6031,c_79]) ).
tcf(c_33747,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) != sdtpldt0(xn,sdtpldt0(xn,xm)) ) ),
inference(superposition,[status(thm)],[c_6031,c_88]) ).
tcf(c_33749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6031,c_81]) ).
tcf(c_33750,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_6031,c_87]) ).
tcf(c_33751,plain,
sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(forward_subsumption_resolution,[status(thm)],[c_33742,c_134,c_5784]) ).
tcf(c_33752,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sdtpldt0(sz00,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33750,c_134,c_5784]) ).
tcf(c_33756,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) != sdtpldt0(xn,sdtpldt0(xn,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33747,c_134,c_5784]) ).
tcf(c_33760,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33734,c_134,c_5784]) ).
tcf(c_33765,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33749,c_134,c_5784]) ).
tcf(c_33771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33731,c_134,c_5784]) ).
tcf(c_33776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33746,c_134,c_5784]) ).
tcf(c_33781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(sz00,X0))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33745,c_134,c_5784]) ).
tcf(c_33787,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33735,c_134,c_5784]) ).
tcf(c_33795,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33736,c_134,c_5784]) ).
tcf(c_33807,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_32010,c_127]) ).
tcf(c_33809,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_32010,c_7926]) ).
tcf(c_33810,plain,
( ( sdtpldt0(xp,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),sz10) ),
inference(superposition,[status(thm)],[c_32010,c_128]) ).
tcf(c_33811,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_32010,c_84]) ).
tcf(c_33812,plain,
( iLess0(sz10,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_32010,c_96]) ).
tcf(c_33813,plain,
( iLess0(sz10,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33812,c_138,c_28961]) ).
tcf(c_33816,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_33811,c_138,c_28961]) ).
tcf(c_33817,plain,
( ( sdtpldt0(xp,xm) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,xm),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33810,c_138,c_28961]) ).
tcf(c_33820,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33807,c_138,c_28961]) ).
tcf(c_33883,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_33751,c_127]) ).
tcf(c_33884,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_33751,c_25716]) ).
tcf(c_33886,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz00) ),
inference(superposition,[status(thm)],[c_33751,c_128]) ).
tcf(c_33887,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtpldt0(xn,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_33751,c_84]) ).
tcf(c_33888,plain,
( iLess0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_33751,c_96]) ).
tcf(c_33889,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33883,c_134,c_5784]) ).
tcf(c_33893,plain,
( iLess0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33888,c_134,c_5784]) ).
tcf(c_33896,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtpldt0(xn,sdtpldt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_33887,c_134,c_5784]) ).
tcf(c_33897,plain,
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33886,c_134,c_5784]) ).
tcf(c_33900,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33884,c_134,c_5784]) ).
tcf(c_33906,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29859,c_104]) ).
tcf(c_33907,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29859,c_28161]) ).
tcf(c_33908,plain,
( sdtlseqdt0(xn,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29859,c_23072]) ).
tcf(c_33909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29859,c_16382]) ).
tcf(c_33910,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_29859,c_16055]) ).
tcf(c_33913,plain,
( sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_29859,c_9145]) ).
tcf(c_33915,plain,
( doDivides0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29859,c_185]) ).
tcf(c_33917,plain,
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29859,c_100]) ).
tcf(c_33918,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29859,c_102]) ).
tcf(c_33919,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_29859,c_107]) ).
tcf(c_33920,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_29859,c_104]) ).
tcf(c_33921,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtasdt0(sdtpldt0(xp,xm),X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_29859,c_106]) ).
tcf(c_33922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29859,c_102]) ).
tcf(c_33923,plain,
doDivides0(sdtpldt0(xp,xm),sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_33915,c_138,c_28961]) ).
tcf(c_33924,plain,
sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_33917,c_139,c_138,c_28961]) ).
tcf(c_33925,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33919,c_139,c_138,c_28961]) ).
tcf(c_33929,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xm),X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33921,c_28966,c_138,c_28961]) ).
tcf(c_33933,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33922,c_28966,c_138,c_28961]) ).
tcf(c_33938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33920,c_139,c_138,c_28961]) ).
tcf(c_33943,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33918,c_28966,c_138,c_28961]) ).
tcf(c_33948,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33906,c_139,c_138,c_28961]) ).
tcf(c_33953,plain,
( sdtlseqdt0(xn,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33908,c_139,c_138,c_28961]) ).
tcf(c_33958,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33907,c_139,c_138,c_28961]) ).
tcf(c_33963,plain,
( sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33913,c_139,c_138,c_28961]) ).
tcf(c_33968,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33910,c_28966,c_138,c_28961]) ).
tcf(c_33976,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33909,c_139,c_138,c_28961]) ).
tcf(c_34030,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_33923,c_130]) ).
tcf(c_34031,plain,
( ( sdtpldt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xm),sdtsldt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_33923,c_133]) ).
tcf(c_34033,plain,
( ( sdtasdt0(sdtpldt0(xp,xm),sK1(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_33923,c_99]) ).
tcf(c_34036,plain,
( doDivides0(sdtpldt0(xp,xm),xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(sdtpldt0(xp,xm),xp) ),
inference(superposition,[status(thm)],[c_33923,c_76]) ).
tcf(c_34037,plain,
sdtasdt0(sdtpldt0(xp,xm),sK1(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_34033,c_28961]) ).
tcf(c_34038,plain,
( doDivides0(sdtpldt0(xp,xm),xm)
| ~ doDivides0(sdtpldt0(xp,xm),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34036,c_51,c_50,c_28961]) ).
tcf(c_34041,plain,
sdtasdt0(sdtpldt0(xp,xm),sdtsldt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_34031,c_28966,c_28961]) ).
tcf(c_34042,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34030,c_28966,c_28961]) ).
tcf(c_34048,plain,
( sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_33924,c_7926]) ).
tcf(c_34050,plain,
( ( sdtpldt0(sdtpldt0(xp,xm),sK0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_33924,c_84]) ).
tcf(c_34052,plain,
sdtpldt0(sdtpldt0(xp,xm),sK0(sdtpldt0(xp,xm),sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_34050,c_28961]) ).
tcf(c_34054,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29862,c_81]) ).
tcf(c_34057,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29862,c_21679]) ).
tcf(c_34058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_29862,c_13445]) ).
tcf(c_34059,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29862,c_13129]) ).
tcf(c_34062,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_29862,c_8360]) ).
tcf(c_34065,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29862,c_188]) ).
tcf(c_34067,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xp,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_29862,c_52]) ).
tcf(c_34068,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_29862,c_79]) ).
tcf(c_34069,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29862,c_79]) ).
tcf(c_34070,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtpldt0(X0,sdtpldt0(xp,xm)) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_29862,c_88]) ).
tcf(c_34072,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29862,c_81]) ).
tcf(c_34073,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_29862,c_87]) ).
tcf(c_34074,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_34065,c_134,c_28961]) ).
tcf(c_34075,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34073,c_134,c_28961]) ).
tcf(c_34079,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,xm)) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34070,c_134,c_28961]) ).
tcf(c_34083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,sdtpldt0(xp,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34072,c_134,c_28961]) ).
tcf(c_34088,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xm)),sdtpldt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34054,c_134,c_28961]) ).
tcf(c_34093,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34057,c_134,c_28961]) ).
tcf(c_34098,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34069,c_134,c_28961]) ).
tcf(c_34103,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34068,c_134,c_28961]) ).
tcf(c_34110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34058,c_134,c_28961]) ).
tcf(c_34118,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34059,c_134,c_28961]) ).
tcf(c_34304,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_34074,c_127]) ).
tcf(c_34307,plain,
( ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),sz00) ),
inference(superposition,[status(thm)],[c_34074,c_128]) ).
tcf(c_34308,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_34074,c_84]) ).
tcf(c_34309,plain,
( iLess0(sz00,sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_34074,c_96]) ).
tcf(c_34310,plain,
iLess0(sz00,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_34309,c_28966,c_134,c_28961]) ).
tcf(c_34311,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_34308,c_134,c_28961]) ).
tcf(c_34312,plain,
~ sdtlseqdt0(sdtpldt0(xp,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_34307,c_28966,c_134,c_28961]) ).
tcf(c_34313,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34304,c_134,c_28961]) ).
tcf(c_34317,plain,
( sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(global_subsumption_just,[status(thm)],[c_33963,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_33963]) ).
tcf(c_34325,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_34317,c_127]) ).
tcf(c_34326,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_34317,c_25716]) ).
tcf(c_34327,plain,
( sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_34317,c_7926]) ).
tcf(c_34328,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_34317,c_128]) ).
tcf(c_34329,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xp,xm),sK0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_34317,c_84]) ).
tcf(c_34330,plain,
( iLess0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_34317,c_96]) ).
tcf(c_34332,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34325,c_28961]) ).
tcf(c_34339,plain,
( iLess0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34330,c_28961]) ).
tcf(c_34345,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xp,xm),sK0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34329,c_28961]) ).
tcf(c_34350,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34328,c_28961]) ).
tcf(c_34356,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34326,c_28961]) ).
tcf(c_34374,plain,
( ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_32423,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_8059,c_33249]) ).
tcf(c_34375,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn) ),
inference(renaming,[status(thm)],[c_34374]) ).
tcf(c_34388,plain,
( ( sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_33636,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_31069,c_33249,c_33726]) ).
tcf(c_34394,plain,
( ( sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_83,c_34388]) ).
tcf(c_34395,plain,
( ( sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34394,c_33614]) ).
tcf(c_34398,plain,
sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) = sz00,
inference(global_subsumption_just,[status(thm)],[c_34395,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_34395]) ).
tcf(c_34401,plain,
sdtpldt0(sdtsldt0(xn,xr),sz00) = sdtsldt0(xn,xr),
inference(demodulation,[status(thm)],[c_33625,c_34398]) ).
tcf(c_34403,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_34401,c_81]) ).
tcf(c_34404,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_34401,c_76]) ).
tcf(c_34407,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_34401,c_13445]) ).
tcf(c_34408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_34401,c_13129]) ).
tcf(c_34416,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_34401,c_52]) ).
tcf(c_34417,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_34401,c_79]) ).
tcf(c_34418,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_34401,c_79]) ).
tcf(c_34419,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtpldt0(X0,sz00) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_34401,c_88]) ).
tcf(c_34421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_34401,c_81]) ).
tcf(c_34422,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),X0) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_34401,c_87]) ).
tcf(c_34423,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_34401,c_30663]) ).
tcf(c_34424,plain,
( ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_34401,c_8338]) ).
tcf(c_34428,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34404,c_134]) ).
tcf(c_34433,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),X0) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34422,c_134]) ).
tcf(c_34438,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtpldt0(X0,sz00) != sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34419,c_134]) ).
tcf(c_34443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34418,c_134]) ).
tcf(c_34449,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34417,c_134]) ).
tcf(c_34455,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34421,c_134]) ).
tcf(c_34461,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34403,c_134]) ).
tcf(c_34467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34408,c_134]) ).
tcf(c_34475,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtsldt0(xn,xr))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(sdtsldt0(xn,xr),sz00))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34416,c_134]) ).
tcf(c_34483,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34407,c_134]) ).
tcf(c_34507,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_33628,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_33628]) ).
tcf(c_34508,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) ),
inference(renaming,[status(thm)],[c_34507]) ).
tcf(c_34510,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtsldt0(xn,xr)) ),
inference(light_normalisation,[status(thm)],[c_34508,c_34398]) ).
tcf(c_34511,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34510,c_134]) ).
tcf(c_34521,plain,
( doDivides0(sK2(sdtsldt0(xn,xr)),sz00)
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK2(sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_116,c_34511]) ).
tcf(c_34522,plain,
( isPrime0(sdtsldt0(xn,xr))
| doDivides0(sK3(sdtsldt0(xn,xr)),sz00)
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK3(sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_121,c_34511]) ).
tcf(c_34545,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(global_subsumption_just,[status(thm)],[c_25718,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_25718,c_33249]) ).
tcf(c_34560,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_34545]) ).
tcf(c_34561,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_34545]) ).
tcf(c_34563,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),X0) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_188,c_34545]) ).
tcf(c_34564,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(sdtsldt0(xn,xr),X0) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_100,c_34545]) ).
tcf(c_34566,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_34545]) ).
tcf(c_34567,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26179,c_34545]) ).
tcf(c_34568,plain,
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26051,c_34545]) ).
tcf(c_34591,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11890,c_34545]) ).
tcf(c_34593,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26249,c_34545]) ).
tcf(c_34595,plain,
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34568,c_50]) ).
tcf(c_34649,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34593,c_33614]) ).
tcf(c_34709,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6032,c_81]) ).
tcf(c_34712,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6032,c_21679]) ).
tcf(c_34713,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6032,c_13445]) ).
tcf(c_34714,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_6032,c_13129]) ).
tcf(c_34717,plain,
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_6032,c_8360]) ).
tcf(c_34722,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6032,c_52]) ).
tcf(c_34724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6032,c_79]) ).
tcf(c_34725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6032,c_79]) ).
tcf(c_34726,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_6032,c_88]) ).
tcf(c_34728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_6032,c_81]) ).
tcf(c_34729,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) != sdtpldt0(xn,sdtpldt0(xn,xm)) ) ),
inference(superposition,[status(thm)],[c_6032,c_87]) ).
tcf(c_34730,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) != sdtpldt0(xn,sdtpldt0(xn,xm)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34729,c_134,c_5784]) ).
tcf(c_34734,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sdtpldt0(X0,sz00) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34726,c_134,c_5784]) ).
tcf(c_34738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34725,c_134,c_5784]) ).
tcf(c_34743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34724,c_134,c_5784]) ).
tcf(c_34749,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtpldt0(X0,sz00))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34728,c_134,c_5784]) ).
tcf(c_34755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34709,c_134,c_5784]) ).
tcf(c_34761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34714,c_134,c_5784]) ).
tcf(c_34769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34713,c_134,c_5784]) ).
tcf(c_34781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29863,c_81]) ).
tcf(c_34784,plain,
( sdtlseqdt0(xn,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29863,c_21679]) ).
tcf(c_34785,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29863,c_13445]) ).
tcf(c_34786,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_29863,c_13129]) ).
tcf(c_34789,plain,
( sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_29863,c_8360]) ).
tcf(c_34794,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xp,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_29863,c_52]) ).
tcf(c_34796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29863,c_79]) ).
tcf(c_34797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_29863,c_79]) ).
tcf(c_34798,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_29863,c_88]) ).
tcf(c_34800,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_29863,c_81]) ).
tcf(c_34801,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ( sdtpldt0(sdtpldt0(xp,xm),X0) != sdtpldt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_29863,c_87]) ).
tcf(c_34802,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,xm),X0) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34801,c_134,c_28961]) ).
tcf(c_34806,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34798,c_134,c_28961]) ).
tcf(c_34810,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtpldt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34797,c_134,c_28961]) ).
tcf(c_34815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(sdtpldt0(xp,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34796,c_134,c_28961]) ).
tcf(c_34820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34800,c_134,c_28961]) ).
tcf(c_34825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xm))
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34781,c_134,c_28961]) ).
tcf(c_34833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34786,c_134,c_28961]) ).
tcf(c_34841,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34785,c_134,c_28961]) ).
tcf(c_34849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sdtpldt0(xr,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30255,c_104]) ).
tcf(c_34850,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30255,c_28161]) ).
tcf(c_34851,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30255,c_23072]) ).
tcf(c_34852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_30255,c_16382]) ).
tcf(c_34853,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30255,c_16055]) ).
tcf(c_34856,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_30255,c_9145]) ).
tcf(c_34858,plain,
( doDivides0(sz10,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30255,c_185]) ).
tcf(c_34860,plain,
( sdtlseqdt0(sz10,sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30255,c_100]) ).
tcf(c_34861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xr,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30255,c_102]) ).
tcf(c_34862,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtasdt0(X0,sdtpldt0(xr,xm)) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_30255,c_107]) ).
tcf(c_34863,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(X0,sdtpldt0(xr,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30255,c_104]) ).
tcf(c_34864,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_30255,c_106]) ).
tcf(c_34865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_30255,c_102]) ).
tcf(c_34866,plain,
doDivides0(sz10,sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_34858,c_138,c_30030]) ).
tcf(c_34867,plain,
sdtlseqdt0(sz10,sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_34860,c_30035,c_138,c_30030]) ).
tcf(c_34868,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34864,c_139,c_138,c_30030]) ).
tcf(c_34872,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xr,xm)) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34862,c_30035,c_138,c_30030]) ).
tcf(c_34876,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(sz10,X0))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34865,c_139,c_138,c_30030]) ).
tcf(c_34881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(X0,sdtpldt0(xr,xm)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34863,c_30035,c_138,c_30030]) ).
tcf(c_34886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34861,c_139,c_138,c_30030]) ).
tcf(c_34891,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sdtpldt0(xr,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34849,c_30035,c_138,c_30030]) ).
tcf(c_34896,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34851,c_30035,c_138,c_30030]) ).
tcf(c_34901,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34850,c_30035,c_138,c_30030]) ).
tcf(c_34906,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34856,c_30035,c_138,c_30030]) ).
tcf(c_34911,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34853,c_139,c_138,c_30030]) ).
tcf(c_34919,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34852,c_30035,c_138,c_30030]) ).
tcf(c_34966,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xr,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_34866,c_130]) ).
tcf(c_34967,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xr,xm),sz10)) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_34866,c_133]) ).
tcf(c_34969,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_34866,c_99]) ).
tcf(c_34971,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_34866,c_114]) ).
tcf(c_34973,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34971,c_138,c_30030]) ).
tcf(c_34977,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_34969,c_138,c_30030]) ).
tcf(c_34978,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xr,xm),sz10)) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_34967,c_139,c_138,c_30030]) ).
tcf(c_34979,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xr,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34966,c_139,c_138,c_30030]) ).
tcf(c_35006,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_34867,c_127]) ).
tcf(c_35008,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_34867,c_7926]) ).
tcf(c_35009,plain,
( ( sdtpldt0(xr,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),sz10) ),
inference(superposition,[status(thm)],[c_34867,c_128]) ).
tcf(c_35010,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_34867,c_84]) ).
tcf(c_35011,plain,
( iLess0(sz10,sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_34867,c_96]) ).
tcf(c_35012,plain,
( iLess0(sz10,sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35011,c_138,c_30030]) ).
tcf(c_35015,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_35010,c_138,c_30030]) ).
tcf(c_35016,plain,
( ( sdtpldt0(xr,xm) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xr,xm),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35009,c_138,c_30030]) ).
tcf(c_35019,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35006,c_138,c_30030]) ).
tcf(c_35067,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xr,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30256,c_104]) ).
tcf(c_35068,plain,
( sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30256,c_28161]) ).
tcf(c_35069,plain,
( sdtlseqdt0(xn,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30256,c_23072]) ).
tcf(c_35070,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30256,c_16382]) ).
tcf(c_35071,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_30256,c_16055]) ).
tcf(c_35074,plain,
( sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_30256,c_9145]) ).
tcf(c_35076,plain,
( doDivides0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30256,c_185]) ).
tcf(c_35078,plain,
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30256,c_100]) ).
tcf(c_35079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xm),X0),sdtpldt0(xr,xm))
| ( X0 = sz10 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30256,c_102]) ).
tcf(c_35080,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_30256,c_107]) ).
tcf(c_35081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_30256,c_104]) ).
tcf(c_35082,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtasdt0(sdtpldt0(xr,xm),X0) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_30256,c_106]) ).
tcf(c_35083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(sdtpldt0(xr,xm),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30256,c_102]) ).
tcf(c_35084,plain,
doDivides0(sdtpldt0(xr,xm),sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_35076,c_138,c_30030]) ).
tcf(c_35085,plain,
sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_35078,c_139,c_138,c_30030]) ).
tcf(c_35086,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35080,c_139,c_138,c_30030]) ).
tcf(c_35090,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xr,xm),X0) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35082,c_30035,c_138,c_30030]) ).
tcf(c_35094,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(sdtpldt0(xr,xm),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35083,c_30035,c_138,c_30030]) ).
tcf(c_35099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtasdt0(X0,sz10))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35081,c_139,c_138,c_30030]) ).
tcf(c_35104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xm),X0),sdtpldt0(xr,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35079,c_30035,c_138,c_30030]) ).
tcf(c_35109,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35067,c_139,c_138,c_30030]) ).
tcf(c_35114,plain,
( sdtlseqdt0(xn,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35069,c_139,c_138,c_30030]) ).
tcf(c_35119,plain,
( sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35068,c_139,c_138,c_30030]) ).
tcf(c_35124,plain,
( sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35074,c_139,c_138,c_30030]) ).
tcf(c_35129,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xr,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35071,c_30035,c_138,c_30030]) ).
tcf(c_35137,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35070,c_139,c_138,c_30030]) ).
tcf(c_35239,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_35084,c_130]) ).
tcf(c_35240,plain,
( ( sdtpldt0(xr,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(xr,xm),sdtsldt0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_35084,c_133]) ).
tcf(c_35242,plain,
( ( sdtasdt0(sdtpldt0(xr,xm),sK1(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_35084,c_99]) ).
tcf(c_35245,plain,
( doDivides0(sdtpldt0(xr,xm),xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ doDivides0(sdtpldt0(xr,xm),xr) ),
inference(superposition,[status(thm)],[c_35084,c_76]) ).
tcf(c_35246,plain,
sdtasdt0(sdtpldt0(xr,xm),sK1(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_35242,c_30030]) ).
tcf(c_35247,plain,
( doDivides0(sdtpldt0(xr,xm),xm)
| ~ doDivides0(sdtpldt0(xr,xm),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35245,c_66,c_50,c_30030]) ).
tcf(c_35250,plain,
sdtasdt0(sdtpldt0(xr,xm),sdtsldt0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_35240,c_30035,c_30030]) ).
tcf(c_35251,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xr,xm)),sdtpldt0(xr,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35239,c_30035,c_30030]) ).
tcf(c_35257,plain,
( sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_35085,c_7926]) ).
tcf(c_35259,plain,
( ( sdtpldt0(sdtpldt0(xr,xm),sK0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_35085,c_84]) ).
tcf(c_35261,plain,
sdtpldt0(sdtpldt0(xr,xm),sK0(sdtpldt0(xr,xm),sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_35259,c_30030]) ).
tcf(c_35263,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(global_subsumption_just,[status(thm)],[c_34906,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_34906]) ).
tcf(c_35272,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_8313,c_35263]) ).
tcf(c_35273,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_126,c_35263]) ).
tcf(c_35275,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_26179,c_35263]) ).
tcf(c_35276,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35275,c_30030]) ).
tcf(c_35280,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35273,c_49,c_30030]) ).
tcf(c_35284,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35272,c_49,c_30030]) ).
tcf(c_35421,plain,
( sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(global_subsumption_just,[status(thm)],[c_35124,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_35124]) ).
tcf(c_35429,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_35421,c_127]) ).
tcf(c_35430,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_35421,c_25716]) ).
tcf(c_35431,plain,
( sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_35421,c_7926]) ).
tcf(c_35432,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_35421,c_128]) ).
tcf(c_35433,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xr,xm),sK0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_35421,c_84]) ).
tcf(c_35434,plain,
( iLess0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_35421,c_96]) ).
tcf(c_35436,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35429,c_30030]) ).
tcf(c_35443,plain,
( iLess0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35434,c_30030]) ).
tcf(c_35449,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xr,xm),sK0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35433,c_30030]) ).
tcf(c_35454,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35432,c_30030]) ).
tcf(c_35460,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35430,c_30030]) ).
tcf(c_35468,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn) ),
inference(global_subsumption_just,[status(thm)],[c_25719,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_25719,c_33249]) ).
tcf(c_35483,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_35468]) ).
tcf(c_35486,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5982,c_35468]) ).
tcf(c_35492,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35483,c_66,c_49]) ).
tcf(c_35500,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( sdtsldt0(xn,xr) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_26840,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_16702,c_33249]) ).
tcf(c_35501,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_35500]) ).
tcf(c_35516,plain,
( sdtlseqdt0(sz00,xk)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_69,c_35501]) ).
tcf(c_35518,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_35501]) ).
tcf(c_35520,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_35501]) ).
tcf(c_35521,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_79,c_35501]) ).
tcf(c_35522,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_35501]) ).
tcf(c_35523,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_188,c_35501]) ).
tcf(c_35524,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_35501]) ).
tcf(c_35525,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X2))
| sdtlseqdt0(sdtasdt0(X0,X1),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_35501]) ).
tcf(c_35526,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X2,X1))
| sdtlseqdt0(sdtasdt0(X0,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_104,c_35501]) ).
tcf(c_35527,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_35501]) ).
tcf(c_35528,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_35501]) ).
tcf(c_35529,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25197,c_35501]) ).
tcf(c_35530,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_35501]) ).
tcf(c_35531,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_135,c_35501]) ).
tcf(c_35556,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25154,c_35501]) ).
tcf(c_35559,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8306,c_35501]) ).
tcf(c_35560,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8299,c_35501]) ).
tcf(c_35561,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8293,c_35501]) ).
tcf(c_35562,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8287,c_35501]) ).
tcf(c_35565,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31263,c_35501]) ).
tcf(c_35566,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26220,c_35501]) ).
tcf(c_35567,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_35501]) ).
tcf(c_35568,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_35501]) ).
tcf(c_35569,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_35501]) ).
tcf(c_35570,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_35501]) ).
tcf(c_35571,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25445,c_35501]) ).
tcf(c_35572,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_35501]) ).
tcf(c_35573,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_34375,c_35501]) ).
tcf(c_35574,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_35501]) ).
tcf(c_35575,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19709,c_35501]) ).
tcf(c_35576,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17870,c_35501]) ).
tcf(c_35577,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_20454,c_35501]) ).
tcf(c_35578,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18192,c_35501]) ).
tcf(c_35579,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8110,c_35501]) ).
tcf(c_35580,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8116,c_35501]) ).
tcf(c_35581,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8038,c_35501]) ).
tcf(c_35597,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26842,c_35501]) ).
tcf(c_35598,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_35501]) ).
tcf(c_35599,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_35501]) ).
tcf(c_35600,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18337,c_35501]) ).
tcf(c_35601,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8048,c_35501]) ).
tcf(c_35602,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19193,c_35501]) ).
tcf(c_35603,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8080,c_35501]) ).
tcf(c_35604,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8099,c_35501]) ).
tcf(c_35605,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8043,c_35501]) ).
tcf(c_35606,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_8086,c_35501]) ).
tcf(c_35611,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_17695,c_35501]) ).
tcf(c_35612,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_21334,c_35501]) ).
tcf(c_35613,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_22438,c_35501]) ).
tcf(c_35615,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26638,c_35501]) ).
tcf(c_35616,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26248,c_35501]) ).
tcf(c_35617,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_35501]) ).
tcf(c_35619,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11883,c_35501]) ).
tcf(c_35620,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_14099,c_35501]) ).
tcf(c_35626,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21012,c_35501]) ).
tcf(c_35632,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23712,c_35501]) ).
tcf(c_35633,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_31649,c_35501]) ).
tcf(c_35634,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24872,c_35501]) ).
tcf(c_35635,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24741,c_35501]) ).
tcf(c_35636,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27448,c_35501]) ).
tcf(c_35637,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_28161,c_35501]) ).
tcf(c_35638,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_30663,c_35501]) ).
tcf(c_35639,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_31375,c_35501]) ).
tcf(c_35640,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29217,c_35501]) ).
tcf(c_35641,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29390,c_35501]) ).
tcf(c_35644,plain,
( sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30031,c_35501]) ).
tcf(c_35645,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30350,c_35501]) ).
tcf(c_35646,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_34317,c_35501]) ).
tcf(c_35647,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_35421,c_35501]) ).
tcf(c_35651,plain,
( sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_35085,c_35501]) ).
tcf(c_35656,plain,
( sdtlseqdt0(sz00,xk)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35516,c_66]) ).
tcf(c_35661,plain,
( sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35651,c_30030]) ).
tcf(c_35665,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35615,c_50]) ).
tcf(c_35671,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35572,c_134]) ).
tcf(c_35677,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35571,c_134]) ).
tcf(c_35683,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35570,c_134]) ).
tcf(c_35689,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35569,c_134]) ).
tcf(c_35695,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35568,c_134]) ).
tcf(c_35701,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35530,c_138]) ).
tcf(c_35707,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35529,c_138]) ).
tcf(c_35725,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35645,c_50,c_30349]) ).
tcf(c_35729,plain,
( sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35644,c_50,c_30030]) ).
tcf(c_35757,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35565,c_134]) ).
tcf(c_35764,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35531,c_138]) ).
tcf(c_35771,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35603,c_66]) ).
tcf(c_35806,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35632,c_5707,c_23711]) ).
tcf(c_35810,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35626,c_5662,c_21011]) ).
tcf(c_35814,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35620,c_5447,c_14098]) ).
tcf(c_35818,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35579,c_138]) ).
tcf(c_35825,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35566,c_134]) ).
tcf(c_35861,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35574,c_138]) ).
tcf(c_35869,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35602,c_66]) ).
tcf(c_35877,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35578,c_138]) ).
tcf(c_35884,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35577,c_138]) ).
tcf(c_35902,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35576,c_138]) ).
tcf(c_35910,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35575,c_138]) ).
tcf(c_36057,plain,
( ( sdtsldt0(xn,xr) = xn )
| sdtlseqdt0(sz00,sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_35556,c_33512]) ).
tcf(c_36058,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(renaming,[status(thm)],[c_36057]) ).
tcf(c_36070,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_26841,c_134,c_66,c_49,c_74,c_144,c_161,c_84,c_1657,c_6066,c_26221,c_33249]) ).
tcf(c_36084,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,X2)) = X2 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_36070,c_127]) ).
tcf(c_36085,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_35501]) ).
tcf(c_36086,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_36070,c_25716]) ).
tcf(c_36087,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_36070,c_7926]) ).
tcf(c_36088,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_36070,c_128]) ).
tcf(c_36089,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_84]) ).
tcf(c_36090,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_96]) ).
tcf(c_36093,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_13991]) ).
tcf(c_36094,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_36070,c_8012]) ).
tcf(c_36103,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),sK0(sK0(xn,sdtsldt0(xn,xr)),X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_36070,c_11265]) ).
tcf(c_36104,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,X1)) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_36070,c_127]) ).
tcf(c_36106,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_36070,c_25716]) ).
tcf(c_36108,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_36070,c_128]) ).
tcf(c_36109,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_36070,c_84]) ).
tcf(c_36110,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_36070,c_96]) ).
tcf(c_36113,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_36070,c_11272]) ).
tcf(c_36114,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_36070,c_24316]) ).
tcf(c_36117,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36090,c_134]) ).
tcf(c_36125,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36089,c_134]) ).
tcf(c_36132,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36088,c_134]) ).
tcf(c_36140,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36085,c_134]) ).
tcf(c_36148,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,X2)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36084,c_134]) ).
tcf(c_36189,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36093,c_134,c_49]) ).
tcf(c_36204,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36087,c_134]) ).
tcf(c_36213,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36094,c_134,c_49]) ).
tcf(c_36222,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36086,c_134]) ).
tcf(c_36232,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),sK0(sK0(xn,sdtsldt0(xn,xr)),X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_36103,c_4693]) ).
tcf(c_36233,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),sK0(sK0(xn,sdtsldt0(xn,xr)),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36232,c_134]) ).
tcf(c_36280,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_36114]) ).
tcf(c_36281,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_36114]) ).
tcf(c_36282,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_36114]) ).
tcf(c_36284,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_36114]) ).
tcf(c_36294,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36282,c_49]) ).
tcf(c_36304,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36281,c_49]) ).
tcf(c_36316,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36280,c_49]) ).
tcf(c_36332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xn)),xn)
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6181,c_81]) ).
tcf(c_36333,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,xn))
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6181,c_76]) ).
tcf(c_36336,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xn)),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6181,c_13445]) ).
tcf(c_36337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sK0(sz10,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6181,c_13129]) ).
tcf(c_36340,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6181,c_8360]) ).
tcf(c_36345,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,xn))
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6181,c_52]) ).
tcf(c_36346,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz10,X0))
| ( xn = sz00 )
| ( sK0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ sdtlseqdt0(sK0(sz10,xn),X0) ),
inference(superposition,[status(thm)],[c_6181,c_79]) ).
tcf(c_36347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xn)
| ( xn = sz00 )
| ( sK0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ sdtlseqdt0(X0,sK0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6181,c_79]) ).
tcf(c_36348,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ( sdtpldt0(X0,sK0(sz10,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6181,c_88]) ).
tcf(c_36349,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ doDivides0(X0,sK0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6181,c_77]) ).
tcf(c_36350,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(sz10,xn)))
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6181,c_81]) ).
tcf(c_36351,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK0(sz10,xn) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ( sdtpldt0(sz10,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6181,c_87]) ).
tcf(c_36352,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ( sdtpldt0(sz10,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36351,c_138]) ).
tcf(c_36358,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ doDivides0(X0,sK0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36349,c_138]) ).
tcf(c_36365,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ( sdtpldt0(X0,sK0(sz10,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36348,c_138]) ).
tcf(c_36371,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz10,xn))
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36333,c_138]) ).
tcf(c_36378,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(sz10,xn)))
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36350,c_138]) ).
tcf(c_36385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xn)),xn)
| ( xn = sz00 )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36332,c_138]) ).
tcf(c_36392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),xn)
| ( xn = sz00 )
| ( sK0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ sdtlseqdt0(X0,sK0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36347,c_138]) ).
tcf(c_36399,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(sz10,X0))
| ( xn = sz00 )
| ( sK0(sz10,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ sdtlseqdt0(sK0(sz10,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36346,c_138]) ).
tcf(c_36406,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36340,c_138,c_5002]) ).
tcf(c_36412,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| doDivides0(X0,sK0(sz10,xn))
| ( xn = sz00 )
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ doDivides0(X0,sdtasdt0(sz10,sK0(sz10,xn)))
| ~ iLess0(sdtpldt0(xn,X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36345,c_138]) ).
tcf(c_36421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz10,xn)),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36336,c_138,c_5002]) ).
tcf(c_36430,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sK0(sz10,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36337,c_138,c_5002]) ).
tcf(c_36522,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xr,xm)),sdtpldt0(xr,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30259,c_81]) ).
tcf(c_36525,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30259,c_21679]) ).
tcf(c_36526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xr,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_30259,c_13445]) ).
tcf(c_36527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30259,c_13129]) ).
tcf(c_36533,plain,
( sdtlseqdt0(sz00,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30259,c_188]) ).
tcf(c_36535,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(xr,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_30259,c_52]) ).
tcf(c_36536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_30259,c_79]) ).
tcf(c_36537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30259,c_79]) ).
tcf(c_36538,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtpldt0(X0,sdtpldt0(xr,xm)) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_30259,c_88]) ).
tcf(c_36540,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(X0,sdtpldt0(xr,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30259,c_81]) ).
tcf(c_36541,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_30259,c_87]) ).
tcf(c_36542,plain,
sdtlseqdt0(sz00,sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_36533,c_134,c_30030]) ).
tcf(c_36543,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36541,c_134,c_30030]) ).
tcf(c_36547,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xr,xm)) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36538,c_134,c_30030]) ).
tcf(c_36551,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(X0,sdtpldt0(xr,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36540,c_134,c_30030]) ).
tcf(c_36556,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xr,xm)),sdtpldt0(xr,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36522,c_134,c_30030]) ).
tcf(c_36561,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36525,c_134,c_30030]) ).
tcf(c_36566,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36537,c_134,c_30030]) ).
tcf(c_36571,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36536,c_134,c_30030]) ).
tcf(c_36577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xr,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36526,c_134,c_30030]) ).
tcf(c_36585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36527,c_134,c_30030]) ).
tcf(c_36597,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_36542,c_127]) ).
tcf(c_36601,plain,
( ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),sz00) ),
inference(superposition,[status(thm)],[c_36542,c_128]) ).
tcf(c_36602,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_36542,c_84]) ).
tcf(c_36603,plain,
( iLess0(sz00,sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_36542,c_96]) ).
tcf(c_36604,plain,
iLess0(sz00,sdtpldt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_36603,c_30035,c_134,c_30030]) ).
tcf(c_36605,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_36602,c_134,c_30030]) ).
tcf(c_36606,plain,
~ sdtlseqdt0(sdtpldt0(xr,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_36601,c_30035,c_134,c_30030]) ).
tcf(c_36607,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36597,c_134,c_30030]) ).
tcf(c_36732,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30260,c_81]) ).
tcf(c_36735,plain,
( sdtlseqdt0(xn,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30260,c_21679]) ).
tcf(c_36736,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30260,c_13445]) ).
tcf(c_36737,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_30260,c_13129]) ).
tcf(c_36740,plain,
( sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_30260,c_8360]) ).
tcf(c_36745,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(xr,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_30260,c_52]) ).
tcf(c_36747,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(sdtpldt0(xr,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30260,c_79]) ).
tcf(c_36748,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(xr,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30260,c_79]) ).
tcf(c_36749,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_30260,c_88]) ).
tcf(c_36751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_30260,c_81]) ).
tcf(c_36752,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ( sdtpldt0(sdtpldt0(xr,xm),X0) != sdtpldt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_30260,c_87]) ).
tcf(c_36753,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xr,xm),X0) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36752,c_134,c_30030]) ).
tcf(c_36757,plain,
! [X0: $i] :
( ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36749,c_134,c_30030]) ).
tcf(c_36761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtpldt0(xr,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36748,c_134,c_30030]) ).
tcf(c_36766,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(sdtpldt0(xr,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36747,c_134,c_30030]) ).
tcf(c_36771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36751,c_134,c_30030]) ).
tcf(c_36776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xr,xm))
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36732,c_134,c_30030]) ).
tcf(c_36784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36737,c_134,c_30030]) ).
tcf(c_36792,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36736,c_134,c_30030]) ).
tcf(c_36808,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30862,c_104]) ).
tcf(c_36809,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30862,c_28161]) ).
tcf(c_36810,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30862,c_23072]) ).
tcf(c_36811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_30862,c_16382]) ).
tcf(c_36812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30862,c_16055]) ).
tcf(c_36815,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_30862,c_9145]) ).
tcf(c_36817,plain,
( doDivides0(sz10,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30862,c_185]) ).
tcf(c_36819,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30862,c_100]) ).
tcf(c_36820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30862,c_102]) ).
tcf(c_36821,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(X0,sdtpldt0(sz10,xm)) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_30862,c_107]) ).
tcf(c_36822,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30862,c_104]) ).
tcf(c_36823,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_30862,c_106]) ).
tcf(c_36824,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_30862,c_102]) ).
tcf(c_36825,plain,
doDivides0(sz10,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_36817,c_138,c_30349]) ).
tcf(c_36826,plain,
sdtlseqdt0(sz10,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_36819,c_30354,c_138,c_30349]) ).
tcf(c_36827,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36823,c_139,c_138,c_30349]) ).
tcf(c_36831,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xm)) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36821,c_30354,c_138,c_30349]) ).
tcf(c_36835,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(sz10,X0))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36824,c_139,c_138,c_30349]) ).
tcf(c_36840,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36822,c_30354,c_138,c_30349]) ).
tcf(c_36845,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36820,c_139,c_138,c_30349]) ).
tcf(c_36850,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36808,c_30354,c_138,c_30349]) ).
tcf(c_36855,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36810,c_30354,c_138,c_30349]) ).
tcf(c_36860,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36809,c_30354,c_138,c_30349]) ).
tcf(c_36865,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36815,c_30354,c_138,c_30349]) ).
tcf(c_36870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36812,c_139,c_138,c_30349]) ).
tcf(c_36878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36811,c_30354,c_138,c_30349]) ).
tcf(c_36951,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_36825,c_130]) ).
tcf(c_36952,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xm),sz10)) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_36825,c_133]) ).
tcf(c_36954,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_36825,c_99]) ).
tcf(c_36956,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_36825,c_114]) ).
tcf(c_36958,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36956,c_138,c_30349]) ).
tcf(c_36962,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_36954,c_138,c_30349]) ).
tcf(c_36963,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xm),sz10)) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_36952,c_139,c_138,c_30349]) ).
tcf(c_36964,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36951,c_139,c_138,c_30349]) ).
tcf(c_37104,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_36826,c_127]) ).
tcf(c_37105,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_36826,c_35501]) ).
tcf(c_37107,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_36826,c_7926]) ).
tcf(c_37108,plain,
( ( sdtpldt0(sz10,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),sz10) ),
inference(superposition,[status(thm)],[c_36826,c_128]) ).
tcf(c_37109,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_36826,c_84]) ).
tcf(c_37110,plain,
( iLess0(sz10,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_36826,c_96]) ).
tcf(c_37111,plain,
( iLess0(sz10,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37110,c_138,c_30349]) ).
tcf(c_37114,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_37109,c_138,c_30349]) ).
tcf(c_37115,plain,
( ( sdtpldt0(sz10,xm) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37108,c_138,c_30349]) ).
tcf(c_37118,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37104,c_138,c_30349]) ).
tcf(c_37122,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37105,c_138,c_30349]) ).
tcf(c_37128,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(global_subsumption_just,[status(thm)],[c_36865,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_36865]) ).
tcf(c_37137,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_8313,c_37128]) ).
tcf(c_37138,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_126,c_37128]) ).
tcf(c_37141,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37138,c_49,c_30349]) ).
tcf(c_37145,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37137,c_49,c_30349]) ).
tcf(c_37151,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_36406,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_8116,c_33249]) ).
tcf(c_37214,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(xn,X0) ),
inference(global_subsumption_just,[status(thm)],[c_27119,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_8293,c_33249]) ).
tcf(c_37215,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(renaming,[status(thm)],[c_37214]) ).
tcf(c_37282,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_27509,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_27509,c_33249]) ).
tcf(c_37316,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| iLess0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5619,c_37282]) ).
tcf(c_37319,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| iLess0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5688,c_37282]) ).
tcf(c_37321,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| iLess0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5719,c_37282]) ).
tcf(c_37326,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| iLess0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6026,c_37282]) ).
tcf(c_37340,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6719,c_37282]) ).
tcf(c_37346,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| iLess0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_28869,c_37282]) ).
tcf(c_37351,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_37282,c_127]) ).
tcf(c_37352,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_37282,c_35501]) ).
tcf(c_37353,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_37282,c_25716]) ).
tcf(c_37354,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(superposition,[status(thm)],[c_37282,c_7926]) ).
tcf(c_37355,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_37282,c_128]) ).
tcf(c_37356,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_37282,c_84]) ).
tcf(c_37357,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| iLess0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_37282,c_96]) ).
tcf(c_37358,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37340,c_49]) ).
tcf(c_37363,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| iLess0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37346,c_138,c_50]) ).
tcf(c_37368,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| iLess0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37321,c_49,c_5707]) ).
tcf(c_37373,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| iLess0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37319,c_49,c_5662]) ).
tcf(c_37378,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| iLess0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37316,c_49,c_5447]) ).
tcf(c_37384,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| iLess0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37357,c_134]) ).
tcf(c_37393,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37356,c_134]) ).
tcf(c_37401,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,X1) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37355,c_134]) ).
tcf(c_37410,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37351,c_134]) ).
tcf(c_37420,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| iLess0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37326,c_49,c_5784]) ).
tcf(c_37425,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37354,c_134]) ).
tcf(c_37435,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37353,c_134]) ).
tcf(c_37528,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtpldt0(sz10,xn))),sdtpldt0(sz10,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_6184,c_81]) ).
tcf(c_37529,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xn,sdtpldt0(sz10,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_6184,c_76]) ).
tcf(c_37533,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtpldt0(sz10,xn))),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_6184,c_13445]) ).
tcf(c_37534,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtpldt0(sz10,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_6184,c_13129]) ).
tcf(c_37542,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sK0(xn,sdtpldt0(sz10,xn)))
| ~ aNaturalNumber0(xn)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ~ doDivides0(X0,sdtasdt0(xn,sK0(xn,sdtpldt0(sz10,xn))))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6184,c_52]) ).
tcf(c_37543,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(xn,X0))
| ( sK0(xn,sdtpldt0(sz10,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ~ sdtlseqdt0(sK0(xn,sdtpldt0(sz10,xn)),X0) ),
inference(superposition,[status(thm)],[c_6184,c_79]) ).
tcf(c_37544,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(sz10,xn))
| ( sK0(xn,sdtpldt0(sz10,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_6184,c_79]) ).
tcf(c_37545,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ( sdtpldt0(X0,sK0(xn,sdtpldt0(sz10,xn))) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_6184,c_88]) ).
tcf(c_37546,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ~ doDivides0(X0,sK0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_6184,c_77]) ).
tcf(c_37547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sK0(xn,sdtpldt0(sz10,xn))))
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_6184,c_81]) ).
tcf(c_37548,plain,
! [X0: $i] :
( ( sK0(xn,sdtpldt0(sz10,xn)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ( sdtpldt0(xn,X0) != sdtpldt0(sz10,xn) ) ),
inference(superposition,[status(thm)],[c_6184,c_87]) ).
tcf(c_37549,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtpldt0(sz10,xn)) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ( sdtpldt0(sz10,xn) != sdtsldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_6184,c_8916]) ).
tcf(c_37550,plain,
! [X0: $i] :
( ( sK0(xn,sdtpldt0(sz10,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ( sdtpldt0(xn,X0) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37548,c_49]) ).
tcf(c_37555,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ~ doDivides0(X0,sK0(xn,sdtpldt0(sz10,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37546,c_49]) ).
tcf(c_37561,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ( sdtpldt0(X0,sK0(xn,sdtpldt0(sz10,xn))) != sdtpldt0(sz10,xn) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37545,c_49]) ).
tcf(c_37566,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xn,sdtpldt0(sz10,xn)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xn)
| ~ doDivides0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37529,c_49]) ).
tcf(c_37572,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(X0,sK0(xn,sdtpldt0(sz10,xn))))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37547,c_49]) ).
tcf(c_37578,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtpldt0(sz10,xn))),sdtpldt0(sz10,xn))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37528,c_49]) ).
tcf(c_37584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtpldt0(sz10,xn))
| ( sK0(xn,sdtpldt0(sz10,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtpldt0(sz10,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37544,c_49]) ).
tcf(c_37590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtpldt0(xn,X0))
| ( sK0(xn,sdtpldt0(sz10,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ~ sdtlseqdt0(sK0(xn,sdtpldt0(sz10,xn)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37543,c_49]) ).
tcf(c_37601,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sK0(xn,sdtpldt0(sz10,xn)))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ~ doDivides0(X0,sdtasdt0(xn,sK0(xn,sdtpldt0(sz10,xn))))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xn),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37542,c_49]) ).
tcf(c_37609,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtpldt0(sz10,xn))),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37533,c_49]) ).
tcf(c_37618,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtpldt0(sz10,xn)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(sz10,xn)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtpldt0(sz10,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37534,c_49]) ).
tcf(c_37637,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xm))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30863,c_104]) ).
tcf(c_37638,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30863,c_28161]) ).
tcf(c_37639,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30863,c_23072]) ).
tcf(c_37640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30863,c_16382]) ).
tcf(c_37641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_30863,c_16055]) ).
tcf(c_37644,plain,
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_30863,c_9145]) ).
tcf(c_37646,plain,
( doDivides0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30863,c_185]) ).
tcf(c_37648,plain,
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30863,c_100]) ).
tcf(c_37649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30863,c_102]) ).
tcf(c_37650,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_30863,c_107]) ).
tcf(c_37651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_30863,c_104]) ).
tcf(c_37652,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtasdt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_30863,c_106]) ).
tcf(c_37653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30863,c_102]) ).
tcf(c_37654,plain,
doDivides0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_37646,c_138,c_30349]) ).
tcf(c_37655,plain,
sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_37648,c_139,c_138,c_30349]) ).
tcf(c_37656,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37650,c_139,c_138,c_30349]) ).
tcf(c_37660,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37652,c_30354,c_138,c_30349]) ).
tcf(c_37664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37653,c_30354,c_138,c_30349]) ).
tcf(c_37669,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtasdt0(X0,sz10))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37651,c_139,c_138,c_30349]) ).
tcf(c_37674,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37649,c_30354,c_138,c_30349]) ).
tcf(c_37679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37637,c_139,c_138,c_30349]) ).
tcf(c_37684,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37639,c_139,c_138,c_30349]) ).
tcf(c_37689,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37638,c_139,c_138,c_30349]) ).
tcf(c_37694,plain,
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37644,c_139,c_138,c_30349]) ).
tcf(c_37699,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37641,c_30354,c_138,c_30349]) ).
tcf(c_37707,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37640,c_139,c_138,c_30349]) ).
tcf(c_37764,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37654,c_130]) ).
tcf(c_37765,plain,
( ( sdtpldt0(sz10,xm) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xm),sdtsldt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37654,c_133]) ).
tcf(c_37767,plain,
( ( sdtasdt0(sdtpldt0(sz10,xm),sK1(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37654,c_99]) ).
tcf(c_37770,plain,
( doDivides0(sdtpldt0(sz10,xm),xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(sdtpldt0(sz10,xm),sz10) ),
inference(superposition,[status(thm)],[c_37654,c_76]) ).
tcf(c_37771,plain,
sdtasdt0(sdtpldt0(sz10,xm),sK1(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_37767,c_30349]) ).
tcf(c_37772,plain,
( doDivides0(sdtpldt0(sz10,xm),xm)
| ~ doDivides0(sdtpldt0(sz10,xm),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37770,c_138,c_50,c_30349]) ).
tcf(c_37775,plain,
sdtasdt0(sdtpldt0(sz10,xm),sdtsldt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_37765,c_30354,c_30349]) ).
tcf(c_37776,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37764,c_30354,c_30349]) ).
tcf(c_37781,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37655,c_35501]) ).
tcf(c_37783,plain,
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_37655,c_7926]) ).
tcf(c_37785,plain,
( ( sdtpldt0(sdtpldt0(sz10,xm),sK0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37655,c_84]) ).
tcf(c_37787,plain,
sdtpldt0(sdtpldt0(sz10,xm),sK0(sdtpldt0(sz10,xm),sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_37785,c_30349]) ).
tcf(c_37788,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37781,c_30349]) ).
tcf(c_37793,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30866,c_81]) ).
tcf(c_37797,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30866,c_21679]) ).
tcf(c_37798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_30866,c_13445]) ).
tcf(c_37799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30866,c_13129]) ).
tcf(c_37805,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30866,c_188]) ).
tcf(c_37807,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sz00,sdtpldt0(sz10,xm)))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_30866,c_52]) ).
tcf(c_37808,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_30866,c_79]) ).
tcf(c_37809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30866,c_79]) ).
tcf(c_37810,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(X0,sdtpldt0(sz10,xm)) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_30866,c_88]) ).
tcf(c_37812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30866,c_81]) ).
tcf(c_37813,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_30866,c_87]) ).
tcf(c_37814,plain,
sdtlseqdt0(sz00,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_37805,c_134,c_30349]) ).
tcf(c_37815,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37813,c_134,c_30349]) ).
tcf(c_37819,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(sz10,xm)) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37810,c_134,c_30349]) ).
tcf(c_37823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sdtpldt0(sz10,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37812,c_134,c_30349]) ).
tcf(c_37828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xm)),sdtpldt0(sz10,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37793,c_134,c_30349]) ).
tcf(c_37833,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37797,c_134,c_30349]) ).
tcf(c_37838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37809,c_134,c_30349]) ).
tcf(c_37843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37808,c_134,c_30349]) ).
tcf(c_37849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37798,c_134,c_30349]) ).
tcf(c_37857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37799,c_134,c_30349]) ).
tcf(c_37970,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37814,c_127]) ).
tcf(c_37974,plain,
( ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),sz00) ),
inference(superposition,[status(thm)],[c_37814,c_128]) ).
tcf(c_37975,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37814,c_84]) ).
tcf(c_37976,plain,
( iLess0(sz00,sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37814,c_96]) ).
tcf(c_37977,plain,
iLess0(sz00,sdtpldt0(sz10,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_37976,c_30354,c_134,c_30349]) ).
tcf(c_37978,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_37975,c_134,c_30349]) ).
tcf(c_37979,plain,
~ sdtlseqdt0(sdtpldt0(sz10,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_37974,c_30354,c_134,c_30349]) ).
tcf(c_37980,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37970,c_134,c_30349]) ).
tcf(c_37988,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30867,c_81]) ).
tcf(c_37992,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30867,c_21679]) ).
tcf(c_37993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30867,c_13445]) ).
tcf(c_37994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_30867,c_13129]) ).
tcf(c_37997,plain,
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_30867,c_8360]) ).
tcf(c_38002,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| doDivides0(X0,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ doDivides0(X0,sdtasdt0(sdtpldt0(sz10,xm),sz00))
| ~ iLess0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_30867,c_52]) ).
tcf(c_38004,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30867,c_79]) ).
tcf(c_38005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30867,c_79]) ).
tcf(c_38006,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_30867,c_88]) ).
tcf(c_38008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(superposition,[status(thm)],[c_30867,c_81]) ).
tcf(c_38009,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ( sdtpldt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,xm) ) ),
inference(superposition,[status(thm)],[c_30867,c_87]) ).
tcf(c_38010,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sz10,xm),X0) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38009,c_134,c_30349]) ).
tcf(c_38014,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38006,c_134,c_30349]) ).
tcf(c_38018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtpldt0(sz10,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38005,c_134,c_30349]) ).
tcf(c_38023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38004,c_134,c_30349]) ).
tcf(c_38028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38008,c_134,c_30349]) ).
tcf(c_38033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37988,c_134,c_30349]) ).
tcf(c_38041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37994,c_134,c_30349]) ).
tcf(c_38049,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37993,c_134,c_30349]) ).
tcf(c_38144,plain,
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(global_subsumption_just,[status(thm)],[c_37694,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_37694]) ).
tcf(c_38152,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_38144,c_127]) ).
tcf(c_38153,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_38144,c_35501]) ).
tcf(c_38154,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_38144,c_25716]) ).
tcf(c_38155,plain,
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_38144,c_7926]) ).
tcf(c_38156,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_38144,c_128]) ).
tcf(c_38157,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(sz10,xm),sK0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_38144,c_84]) ).
tcf(c_38158,plain,
( iLess0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_38144,c_96]) ).
tcf(c_38161,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38152,c_30349]) ).
tcf(c_38168,plain,
( iLess0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38158,c_30349]) ).
tcf(c_38174,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(sz10,xm),sK0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38157,c_30349]) ).
tcf(c_38179,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38156,c_30349]) ).
tcf(c_38185,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38154,c_30349]) ).
tcf(c_38195,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_26900,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_26900,c_33249]) ).
tcf(c_38211,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| iLess0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X2 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_38195,c_127]) ).
tcf(c_38212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_35501]) ).
tcf(c_38213,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_38195,c_25716]) ).
tcf(c_38214,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_38195,c_7926]) ).
tcf(c_38215,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_38195,c_128]) ).
tcf(c_38216,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_84]) ).
tcf(c_38217,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_96]) ).
tcf(c_38220,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_13991]) ).
tcf(c_38221,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_38195,c_8012]) ).
tcf(c_38230,plain,
! [X0: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sz00),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_11265]) ).
tcf(c_38233,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_38195,c_75]) ).
tcf(c_38234,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,X2)
| iLess0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_38195,c_127]) ).
tcf(c_38235,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_35501]) ).
tcf(c_38236,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_38195,c_25716]) ).
tcf(c_38237,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_38195,c_7926]) ).
tcf(c_38238,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| iLess0(X0,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_38195,c_128]) ).
tcf(c_38239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_84]) ).
tcf(c_38240,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_96]) ).
tcf(c_38247,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| iLess0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_7326]) ).
tcf(c_38248,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| iLess0(xn,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_38195,c_8138]) ).
tcf(c_38249,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_13991]) ).
tcf(c_38250,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_38195,c_8012]) ).
tcf(c_38251,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| iLess0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_7322]) ).
tcf(c_38252,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_38195,c_34545]) ).
tcf(c_38255,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_7288]) ).
tcf(c_38256,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_7284]) ).
tcf(c_38260,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_7308]) ).
tcf(c_38261,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_7304]) ).
tcf(c_38262,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_7300]) ).
tcf(c_38263,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_7296]) ).
tcf(c_38264,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_7292]) ).
tcf(c_38268,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_38195,c_13445]) ).
tcf(c_38269,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_38195,c_13129]) ).
tcf(c_38270,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_38195,c_8360]) ).
tcf(c_38271,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_38195,c_16382]) ).
tcf(c_38272,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_38195,c_16055]) ).
tcf(c_38273,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_38195,c_9145]) ).
tcf(c_38280,plain,
! [X0: $i] :
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_38195,c_8338]) ).
tcf(c_38281,plain,
! [X0: $i] :
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_38195,c_9120]) ).
tcf(c_38284,plain,
! [X0: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_11272]) ).
tcf(c_38285,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| iLess0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_11265]) ).
tcf(c_38288,plain,
! [X0: $i] :
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_38195,c_23029]) ).
tcf(c_38289,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_36114]) ).
tcf(c_38290,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_32166]) ).
tcf(c_38291,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_29318]) ).
tcf(c_38292,plain,
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_29151]) ).
tcf(c_38293,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_24826]) ).
tcf(c_38294,plain,
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_24700]) ).
tcf(c_38295,plain,
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_24659]) ).
tcf(c_38297,plain,
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_24468]) ).
tcf(c_38298,plain,
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_24435]) ).
tcf(c_38299,plain,
! [X0: $i] :
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_24256]) ).
tcf(c_38300,plain,
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_38195,c_23651]) ).
tcf(c_38301,plain,
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_26250]) ).
tcf(c_38306,plain,
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_38195,c_29717]) ).
tcf(c_38316,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| iLess0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38247,c_49]) ).
tcf(c_38323,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38264,c_134]) ).
tcf(c_38330,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38263,c_134]) ).
tcf(c_38337,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38262,c_134]) ).
tcf(c_38344,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38261,c_134]) ).
tcf(c_38351,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38260,c_134]) ).
tcf(c_38358,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38256,c_138]) ).
tcf(c_38365,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38255,c_138]) ).
tcf(c_38372,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| iLess0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38251,c_50]) ).
tcf(c_38379,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38249,c_49]) ).
tcf(c_38417,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38250,c_49]) ).
tcf(c_38435,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38217,c_134]) ).
tcf(c_38452,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38216,c_134]) ).
tcf(c_38460,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38215,c_134]) ).
tcf(c_38469,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38212,c_134]) ).
tcf(c_38478,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| iLess0(xn,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38248,c_49]) ).
tcf(c_38487,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| iLess0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38211,c_134]) ).
tcf(c_38508,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38220,c_134,c_49]) ).
tcf(c_38525,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38214,c_134]) ).
tcf(c_38536,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38221,c_134,c_49]) ).
tcf(c_38547,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38213,c_134]) ).
tcf(c_38568,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_38230,c_4693]) ).
tcf(c_38569,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38568,c_134]) ).
tcf(c_38591,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38293,c_49]) ).
tcf(c_38601,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38291,c_49]) ).
tcf(c_38617,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38290,c_49]) ).
tcf(c_38629,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38289,c_49]) ).
tcf(c_38644,plain,
! [X0: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_38237,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_7929,c_33249]) ).
tcf(c_38645,plain,
! [X0: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(renaming,[status(thm)],[c_38644]) ).
tcf(c_38659,plain,
( iLess0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_38417,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_5936,c_6066,c_33249]) ).
tcf(c_38665,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_27505,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_27505,c_33249]) ).
tcf(c_38682,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_58,c_38665]) ).
tcf(c_38683,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_60,c_38665]) ).
tcf(c_38684,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xk,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69,c_38665]) ).
tcf(c_38685,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_72,c_38665]) ).
tcf(c_38686,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_38665]) ).
tcf(c_38687,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_38665]) ).
tcf(c_38688,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_38665]) ).
tcf(c_38689,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_38665]) ).
tcf(c_38690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,X2),X3))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_79,c_38665]) ).
tcf(c_38691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X2,X1),X3))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_38665]) ).
tcf(c_38692,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_188,c_38665]) ).
tcf(c_38693,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(X0,X1),X2))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_38665]) ).
tcf(c_38694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(X0,X2),X3))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_38665]) ).
tcf(c_38695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(X2,X1),X3))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_104,c_38665]) ).
tcf(c_38696,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_129,c_38665]) ).
tcf(c_38697,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_38665]) ).
tcf(c_38698,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25197,c_38665]) ).
tcf(c_38699,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_38665]) ).
tcf(c_38700,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_135,c_38665]) ).
tcf(c_38701,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4992,c_38665]) ).
tcf(c_38702,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5002,c_38665]) ).
tcf(c_38703,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5001,c_38665]) ).
tcf(c_38704,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5000,c_38665]) ).
tcf(c_38705,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4999,c_38665]) ).
tcf(c_38706,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4998,c_38665]) ).
tcf(c_38707,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4997,c_38665]) ).
tcf(c_38708,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4996,c_38665]) ).
tcf(c_38709,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4995,c_38665]) ).
tcf(c_38710,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4994,c_38665]) ).
tcf(c_38711,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4993,c_38665]) ).
tcf(c_38712,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_33603,c_38665]) ).
tcf(c_38713,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5405,c_38665]) ).
tcf(c_38714,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5448,c_38665]) ).
tcf(c_38715,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5493,c_38665]) ).
tcf(c_38716,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5490,c_38665]) ).
tcf(c_38717,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5648,c_38665]) ).
tcf(c_38718,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5646,c_38665]) ).
tcf(c_38719,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(xn,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_38665]) ).
tcf(c_38720,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(xm,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_38665]) ).
tcf(c_38721,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5663,c_38665]) ).
tcf(c_38722,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5708,c_38665]) ).
tcf(c_38723,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_37215,c_38665]) ).
tcf(c_38724,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X2))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28161,c_38665]) ).
tcf(c_38725,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27448,c_38665]) ).
tcf(c_38726,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25154,c_38665]) ).
tcf(c_38727,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X2))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23072,c_38665]) ).
tcf(c_38728,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21679,c_38665]) ).
tcf(c_38729,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X1))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8306,c_38665]) ).
tcf(c_38730,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X1))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8299,c_38665]) ).
tcf(c_38731,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8287,c_38665]) ).
tcf(c_38732,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_7380,c_38665]) ).
tcf(c_38733,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_36058,c_38665]) ).
tcf(c_38734,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_38665]) ).
tcf(c_38735,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_38665]) ).
tcf(c_38736,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31263,c_38665]) ).
tcf(c_38737,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26220,c_38665]) ).
tcf(c_38738,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_38665]) ).
tcf(c_38739,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_38665]) ).
tcf(c_38740,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_38665]) ).
tcf(c_38741,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_38665]) ).
tcf(c_38742,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25445,c_38665]) ).
tcf(c_38743,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_38665]) ).
tcf(c_38744,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_37151,c_38665]) ).
tcf(c_38745,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_34375,c_38665]) ).
tcf(c_38746,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_38665]) ).
tcf(c_38747,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19709,c_38665]) ).
tcf(c_38748,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17870,c_38665]) ).
tcf(c_38749,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_20454,c_38665]) ).
tcf(c_38750,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18192,c_38665]) ).
tcf(c_38751,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8110,c_38665]) ).
tcf(c_38752,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8038,c_38665]) ).
tcf(c_38753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_5785,c_38665]) ).
tcf(c_38754,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5982,c_38665]) ).
tcf(c_38755,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_38665]) ).
tcf(c_38756,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(xr,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_38665]) ).
tcf(c_38757,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtpldt0(xr,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_38665]) ).
tcf(c_38758,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz00,sdtpldt0(xp,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27750,c_38665]) ).
tcf(c_38759,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sz00,sdtpldt0(xp,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26638,c_38665]) ).
tcf(c_38760,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(xp,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25445,c_38665]) ).
tcf(c_38761,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtpldt0(xp,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25197,c_38665]) ).
tcf(c_38762,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz10,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_38665]) ).
tcf(c_38763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_6800,c_38665]) ).
tcf(c_38764,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_7238,c_38665]) ).
tcf(c_38765,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_18808,c_38665]) ).
tcf(c_38766,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22054,c_38665]) ).
tcf(c_38767,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22813,c_38665]) ).
tcf(c_38768,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_36070,c_38665]) ).
tcf(c_38769,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X2))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26842,c_38665]) ).
tcf(c_38770,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_38665]) ).
tcf(c_38771,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_38665]) ).
tcf(c_38772,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18337,c_38665]) ).
tcf(c_38773,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8048,c_38665]) ).
tcf(c_38774,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19193,c_38665]) ).
tcf(c_38775,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8080,c_38665]) ).
tcf(c_38776,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8099,c_38665]) ).
tcf(c_38777,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8043,c_38665]) ).
tcf(c_38779,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27750,c_38665]) ).
tcf(c_38780,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_38665]) ).
tcf(c_38781,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21679,c_38665]) ).
tcf(c_38782,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(X0,X1),X2))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_23072,c_38665]) ).
tcf(c_38787,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26638,c_38665]) ).
tcf(c_38788,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26248,c_38665]) ).
tcf(c_38789,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_38665]) ).
tcf(c_38791,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X1))
| sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11883,c_38665]) ).
tcf(c_38792,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_14099,c_38665]) ).
tcf(c_38793,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27747,c_38665]) ).
tcf(c_38794,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_16748,c_38665]) ).
tcf(c_38795,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_17666,c_38665]) ).
tcf(c_38796,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_33751,c_38665]) ).
tcf(c_38797,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20734,c_38665]) ).
tcf(c_38798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21012,c_38665]) ).
tcf(c_38799,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21305,c_38665]) ).
tcf(c_38800,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22212,c_38665]) ).
tcf(c_38801,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22409,c_38665]) ).
tcf(c_38804,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23712,c_38665]) ).
tcf(c_38805,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_31649,c_38665]) ).
tcf(c_38806,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),X1))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24872,c_38665]) ).
tcf(c_38807,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24741,c_38665]) ).
tcf(c_38808,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_37282,c_38665]) ).
tcf(c_38809,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27448,c_38665]) ).
tcf(c_38810,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(X0,X1),X2))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_28161,c_38665]) ).
tcf(c_38811,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),X0),X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_30663,c_38665]) ).
tcf(c_38812,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(sdtsldt0(xn,xr),X0),X1))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_31375,c_38665]) ).
tcf(c_38813,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29217,c_38665]) ).
tcf(c_38814,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),X1))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29390,c_38665]) ).
tcf(c_38815,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_34074,c_38665]) ).
tcf(c_38816,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28962,c_38665]) ).
tcf(c_38817,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xr,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_36542,c_38665]) ).
tcf(c_38818,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xr,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30031,c_38665]) ).
tcf(c_38819,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37814,c_38665]) ).
tcf(c_38820,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30350,c_38665]) ).
tcf(c_38824,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_32010,c_38665]) ).
tcf(c_38825,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xr,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_34867,c_38665]) ).
tcf(c_38826,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_36826,c_38665]) ).
tcf(c_38827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_33924,c_38665]) ).
tcf(c_38828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xr,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_35085,c_38665]) ).
tcf(c_38829,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37655,c_38665]) ).
tcf(c_38830,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38706,c_138]) ).
tcf(c_38835,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38705,c_66]) ).
tcf(c_38840,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38704,c_51]) ).
tcf(c_38845,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38703,c_50]) ).
tcf(c_38850,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38702,c_49]) ).
tcf(c_38855,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz00,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38701,c_134]) ).
tcf(c_38865,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38718,c_66,c_138]) ).
tcf(c_38870,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38717,c_138,c_51]) ).
tcf(c_38875,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38711,c_138,c_134]) ).
tcf(c_38880,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38710,c_66,c_134]) ).
tcf(c_38885,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38709,c_134,c_51]) ).
tcf(c_38890,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38708,c_134,c_50]) ).
tcf(c_38895,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38707,c_134,c_49]) ).
tcf(c_38900,plain,
! [X0: $i] :
( sdtlseqdt0(xk,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38685,c_51]) ).
tcf(c_38906,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xk,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38684,c_66]) ).
tcf(c_38912,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38683,c_51,c_50]) ).
tcf(c_38917,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38682,c_51,c_49]) ).
tcf(c_38922,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38829,c_30349]) ).
tcf(c_38927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xr,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38828,c_30030]) ).
tcf(c_38932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38827,c_28961]) ).
tcf(c_38937,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38801,c_5707]) ).
tcf(c_38942,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38799,c_5662]) ).
tcf(c_38947,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38795,c_5447]) ).
tcf(c_38952,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38787,c_50]) ).
tcf(c_38959,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38779,c_49]) ).
tcf(c_38966,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38763,c_5404]) ).
tcf(c_38971,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz10,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38762,c_138]) ).
tcf(c_38978,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtpldt0(xp,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38761,c_51]) ).
tcf(c_38985,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(xp,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38760,c_51]) ).
tcf(c_38992,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sz00,sdtpldt0(xp,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38759,c_51]) ).
tcf(c_38999,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz00,sdtpldt0(xp,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38758,c_51]) ).
tcf(c_39006,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtpldt0(xr,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38757,c_66]) ).
tcf(c_39013,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(xr,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38756,c_66]) ).
tcf(c_39020,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38743,c_134]) ).
tcf(c_39027,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38742,c_134]) ).
tcf(c_39034,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38741,c_134]) ).
tcf(c_39041,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38740,c_134]) ).
tcf(c_39048,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38739,c_134]) ).
tcf(c_39055,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(xm,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38720,c_50]) ).
tcf(c_39062,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtpldt0(xn,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38719,c_49]) ).
tcf(c_39069,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38699,c_138]) ).
tcf(c_39076,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38698,c_138]) ).
tcf(c_39097,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38826,c_138,c_30349]) ).
tcf(c_39102,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xr,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38825,c_138,c_30030]) ).
tcf(c_39107,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38824,c_138,c_28961]) ).
tcf(c_39112,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38820,c_50,c_30349]) ).
tcf(c_39117,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38819,c_134,c_30349]) ).
tcf(c_39122,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xr,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38818,c_50,c_30030]) ).
tcf(c_39127,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xr,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38817,c_134,c_30030]) ).
tcf(c_39132,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38816,c_50,c_28961]) ).
tcf(c_39137,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38815,c_134,c_28961]) ).
tcf(c_39142,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38800,c_138,c_5707]) ).
tcf(c_39147,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38797,c_138,c_5662]) ).
tcf(c_39152,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38794,c_138,c_5447]) ).
tcf(c_39157,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38793,c_66,c_51]) ).
tcf(c_39163,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38767,c_134,c_5707]) ).
tcf(c_39168,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38766,c_134,c_5662]) ).
tcf(c_39173,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38765,c_134,c_5447]) ).
tcf(c_39178,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38764,c_134,c_5404]) ).
tcf(c_39183,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38754,c_66,c_49]) ).
tcf(c_39190,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xn),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38722,c_49,c_5707]) ).
tcf(c_39195,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38721,c_66,c_5662]) ).
tcf(c_39200,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38716,c_138,c_50]) ).
tcf(c_39206,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38715,c_138,c_49]) ).
tcf(c_39212,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38714,c_51,c_5447]) ).
tcf(c_39217,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38713,c_50,c_5404]) ).
tcf(c_39244,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38796,c_134,c_5784]) ).
tcf(c_39249,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38777,c_66]) ).
tcf(c_39256,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38776,c_66]) ).
tcf(c_39263,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38773,c_50]) ).
tcf(c_39270,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38752,c_138]) ).
tcf(c_39277,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38745,c_138]) ).
tcf(c_39284,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38744,c_138]) ).
tcf(c_39291,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38736,c_134]) ).
tcf(c_39306,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38700,c_138]) ).
tcf(c_39314,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38775,c_66]) ).
tcf(c_39354,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38804,c_5707,c_23711]) ).
tcf(c_39359,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38798,c_5662,c_21011]) ).
tcf(c_39364,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38792,c_5447,c_14098]) ).
tcf(c_39369,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38753,c_5404,c_5784]) ).
tcf(c_39374,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38751,c_138]) ).
tcf(c_39382,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38737,c_134]) ).
tcf(c_39441,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X1))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38755,c_66]) ).
tcf(c_39450,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38746,c_138]) ).
tcf(c_39468,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38774,c_66]) ).
tcf(c_39476,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38772,c_50]) ).
tcf(c_39484,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38750,c_138]) ).
tcf(c_39492,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38749,c_138]) ).
tcf(c_39500,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),X0),X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38811,c_134]) ).
tcf(c_39508,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38780,c_49]) ).
tcf(c_39518,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38738,c_134]) ).
tcf(c_39528,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38735,c_134]) ).
tcf(c_39565,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38734,c_134]) ).
tcf(c_39584,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38748,c_138]) ).
tcf(c_39593,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38747,c_138]) ).
tcf(c_39602,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(sdtsldt0(xn,xr),X0),X1))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38812,c_134]) ).
tcf(c_39611,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38809,c_134]) ).
tcf(c_39621,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38805,c_5784]) ).
tcf(c_39628,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38781,c_49]) ).
tcf(c_39638,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38808,c_134]) ).
tcf(c_39648,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(X0,X1),X2))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38810,c_134]) ).
tcf(c_39659,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(X0,X1),X2))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38782,c_49]) ).
tcf(c_39726,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38789,c_134]) ).
tcf(c_39737,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38788,c_134]) ).
tcf(c_39746,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38813,c_134]) ).
tcf(c_39758,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38807,c_49]) ).
tcf(c_39770,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),X1))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38814,c_134]) ).
tcf(c_39783,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),X1))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38806,c_49]) ).
tcf(c_40360,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ( sdtsldt0(xn,xr) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_38732,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_7380,c_33249]) ).
tcf(c_40361,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(renaming,[status(thm)],[c_40360]) ).
tcf(c_40382,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_40361,c_24316]) ).
tcf(c_40390,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))),sdtpldt0(xn,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6185,c_81]) ).
tcf(c_40391,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xr,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6185,c_76]) ).
tcf(c_40394,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6185,c_21679]) ).
tcf(c_40395,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6185,c_13445]) ).
tcf(c_40396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK0(xr,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6185,c_13129]) ).
tcf(c_40399,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6185,c_8360]) ).
tcf(c_40404,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sK0(xr,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(xr)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ doDivides0(X0,sdtasdt0(xr,sK0(xr,sdtpldt0(xn,xr))))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_6185,c_52]) ).
tcf(c_40405,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xr,X0))
| ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xr,sdtpldt0(xn,xr)),X0) ),
inference(superposition,[status(thm)],[c_6185,c_79]) ).
tcf(c_40406,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,xr))
| ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK0(xr,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6185,c_79]) ).
tcf(c_40407,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ( sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_6185,c_88]) ).
tcf(c_40408,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ doDivides0(X0,sK0(xr,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6185,c_77]) ).
tcf(c_40409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_6185,c_81]) ).
tcf(c_40410,plain,
! [X0: $i] :
( ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ( sdtpldt0(xr,X0) != sdtpldt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_6185,c_87]) ).
tcf(c_40411,plain,
! [X0: $i] :
( ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ( sdtpldt0(xr,X0) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40410,c_66]) ).
tcf(c_40416,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ doDivides0(X0,sK0(xr,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40408,c_66]) ).
tcf(c_40422,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ( sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))) != sdtpldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40407,c_66]) ).
tcf(c_40427,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xr,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40391,c_66]) ).
tcf(c_40434,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40409,c_66]) ).
tcf(c_40441,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))),sdtpldt0(xn,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40390,c_66]) ).
tcf(c_40447,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xn,xr))
| ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK0(xr,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40406,c_66]) ).
tcf(c_40453,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),sdtpldt0(xr,X0))
| ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xr,sdtpldt0(xn,xr)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40405,c_66]) ).
tcf(c_40459,plain,
! [X0: $i] :
( doDivides0(X0,xr)
| doDivides0(X0,sK0(xr,sdtpldt0(xn,xr)))
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ doDivides0(X0,sdtasdt0(xr,sK0(xr,sdtpldt0(xn,xr))))
| ~ iLess0(sdtpldt0(sdtpldt0(xn,xr),X0),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40404,c_66]) ).
tcf(c_40467,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,sdtpldt0(xn,xr))),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40395,c_66]) ).
tcf(c_40476,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xr,sdtpldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ aNaturalNumber0(sK0(xr,sdtpldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK0(xr,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40396,c_66]) ).
tcf(c_40501,plain,
sdtpldt0(xp,xr) = sdtpldt0(xr,xp),
inference(superposition,[status(thm)],[c_66,c_5081]) ).
tcf(c_40502,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_5081]) ).
tcf(c_40503,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xp) = sdtpldt0(xp,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_5081]) ).
tcf(c_40504,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xp) = sdtpldt0(xp,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_5081]) ).
tcf(c_40505,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xp) = sdtpldt0(xp,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_5081]) ).
tcf(c_40506,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),xp) = sdtpldt0(xp,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_5081]) ).
tcf(c_40507,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),xp) = sdtpldt0(xp,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_5081]) ).
tcf(c_40508,plain,
sdtpldt0(xp,sz00) = sdtpldt0(sz00,xp),
inference(superposition,[status(thm)],[c_134,c_5081]) ).
tcf(c_40509,plain,
sdtpldt0(xp,sz10) = sdtpldt0(sz10,xp),
inference(superposition,[status(thm)],[c_138,c_5081]) ).
tcf(c_40510,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xp) = sdtpldt0(xp,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_5081]) ).
tcf(c_40511,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(xp,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_5404,c_5081]) ).
tcf(c_40512,plain,
sdtpldt0(sdtpldt0(xn,xp),xp) = sdtpldt0(xp,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_5447,c_5081]) ).
tcf(c_40513,plain,
sdtpldt0(sdtpldt0(xn,xr),xp) = sdtpldt0(xp,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_5662,c_5081]) ).
tcf(c_40514,plain,
sdtpldt0(sdtpldt0(sz10,xn),xp) = sdtpldt0(xp,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5707,c_5081]) ).
tcf(c_40515,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(superposition,[status(thm)],[c_5784,c_5081]) ).
tcf(c_40516,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xn,xp))),
inference(superposition,[status(thm)],[c_14098,c_5081]) ).
tcf(c_40517,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_21011,c_5081]) ).
tcf(c_40518,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(sz10,xn))),
inference(superposition,[status(thm)],[c_23711,c_5081]) ).
tcf(c_40519,plain,
sdtpldt0(sdtpldt0(xp,xm),xp) = sdtpldt0(xp,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_28961,c_5081]) ).
tcf(c_40520,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),xp) = sdtpldt0(xp,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))),
inference(superposition,[status(thm)],[c_29666,c_5081]) ).
tcf(c_40521,plain,
sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(xp,sdtpldt0(xr,xm)),
inference(superposition,[status(thm)],[c_30030,c_5081]) ).
tcf(c_40522,plain,
sdtpldt0(sdtpldt0(sz10,xm),xp) = sdtpldt0(xp,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_30349,c_5081]) ).
tcf(c_40552,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| doDivides0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ doDivides0(X0,sdtasdt0(xn,sK0(xn,sdtsldt0(xn,xr))))
| ~ iLess0(sdtpldt0(sdtsldt0(xn,xr),X0),sdtpldt0(xp,sdtpldt0(xn,xm))) ),
inference(demodulation,[status(thm)],[c_6747,c_40511]) ).
tcf(c_40553,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xp,sdtpldt0(xn,xm))) ),
inference(demodulation,[status(thm)],[c_52,c_40511]) ).
tcf(c_41018,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_40501,c_81]) ).
tcf(c_41019,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_40501,c_76]) ).
tcf(c_41020,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| iLess0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_40501,c_37282]) ).
tcf(c_41021,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_40501,c_27448]) ).
tcf(c_41022,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_40501,c_21679]) ).
tcf(c_41023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_40501,c_13445]) ).
tcf(c_41024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_40501,c_13129]) ).
tcf(c_41027,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_40501,c_8360]) ).
tcf(c_41029,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(xp,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_40501,c_85]) ).
tcf(c_41030,plain,
( sdtlseqdt0(xr,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_40501,c_188]) ).
tcf(c_41031,plain,
( aNaturalNumber0(sdtpldt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_40501,c_95]) ).
tcf(c_41032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(xr,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_40501,c_79]) ).
tcf(c_41033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xp,xr))
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_40501,c_79]) ).
tcf(c_41034,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_40501,c_88]) ).
tcf(c_41035,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_40501,c_77]) ).
tcf(c_41036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(X0,xp))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_40501,c_81]) ).
tcf(c_41037,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_40501,c_87]) ).
tcf(c_41038,plain,
aNaturalNumber0(sdtpldt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_41031,c_66,c_51]) ).
tcf(c_41039,plain,
sdtlseqdt0(xr,sdtpldt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_41030,c_66,c_51]) ).
tcf(c_41040,plain,
sdtpldt0(xp,xr) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_41029,c_27859,c_66,c_51]) ).
tcf(c_41041,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41037,c_66,c_51]) ).
tcf(c_41045,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41035,c_66,c_51]) ).
tcf(c_41050,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xp) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41034,c_66,c_51]) ).
tcf(c_41054,plain,
! [X0: $i] :
( doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41019,c_66,c_51]) ).
tcf(c_41059,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(X0,xp))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41036,c_66,c_51]) ).
tcf(c_41064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(xp,xr))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41033,c_66,c_51]) ).
tcf(c_41069,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(xr,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41032,c_66,c_51]) ).
tcf(c_41074,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtpldt0(xp,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41018,c_66,c_51]) ).
tcf(c_41079,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41022,c_66,c_51]) ).
tcf(c_41084,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41021,c_66,c_51]) ).
tcf(c_41089,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41027,c_66,c_51]) ).
tcf(c_41094,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| iLess0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41020,c_66,c_51]) ).
tcf(c_41099,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41024,c_66,c_51]) ).
tcf(c_41107,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,xp),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41023,c_66,c_51]) ).
tcf(c_41123,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(xp,xr)),sdtasdt0(X0,sdtpldt0(xp,xr))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(xp,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41038,c_90]) ).
tcf(c_41124,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xr),X1),sdtasdt0(sdtpldt0(xp,xr),X0)) = sdtasdt0(sdtpldt0(xp,xr),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41038,c_89]) ).
tcf(c_41125,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xr),X1),X0) = sdtasdt0(sdtpldt0(xp,xr),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41038,c_110]) ).
tcf(c_41126,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xr),X1),X0) = sdtpldt0(sdtpldt0(xp,xr),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41038,c_93]) ).
tcf(c_41127,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xr)),X0) = sdtpldt0(xp,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41038,c_195]) ).
tcf(c_41128,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xr),X0) = sdtasdt0(X0,sdtpldt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41038,c_111]) ).
tcf(c_41129,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xr),X0) = sdtpldt0(X0,sdtpldt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41038,c_94]) ).
tcf(c_41130,plain,
sdtpldt0(sdtpldt0(xp,xr),xp) = sdtpldt0(xp,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_41038,c_5081]) ).
tcf(c_41131,plain,
sdtpldt0(sdtpldt0(xp,xr),xm) = sdtpldt0(xm,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_41038,c_5080]) ).
tcf(c_41132,plain,
sdtpldt0(sdtpldt0(xp,xr),xn) = sdtpldt0(xn,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_41038,c_5079]) ).
tcf(c_41133,plain,
sdtasdt0(sz10,sdtpldt0(xp,xr)) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_41038,c_137]) ).
tcf(c_41134,plain,
sdtasdt0(sdtpldt0(xp,xr),sz10) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_41038,c_136]) ).
tcf(c_41135,plain,
sdtasdt0(sz00,sdtpldt0(xp,xr)) = sz00,
inference(superposition,[status(thm)],[c_41038,c_109]) ).
tcf(c_41136,plain,
sdtasdt0(sdtpldt0(xp,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_41038,c_108]) ).
tcf(c_41137,plain,
sdtpldt0(sz00,sdtpldt0(xp,xr)) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_41038,c_92]) ).
tcf(c_41138,plain,
sdtpldt0(sdtpldt0(xp,xr),sz00) = sdtpldt0(xp,xr),
inference(superposition,[status(thm)],[c_41038,c_91]) ).
tcf(c_41164,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41039,c_127]) ).
tcf(c_41165,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41039,c_38665]) ).
tcf(c_41166,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41039,c_35501]) ).
tcf(c_41167,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41039,c_25716]) ).
tcf(c_41168,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_41039,c_7926]) ).
tcf(c_41169,plain,
( ( sdtpldt0(xp,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xr) ),
inference(superposition,[status(thm)],[c_41039,c_128]) ).
tcf(c_41170,plain,
( ( sdtpldt0(xr,sK0(xr,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41039,c_84]) ).
tcf(c_41171,plain,
( iLess0(xr,sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41039,c_96]) ).
tcf(c_41172,plain,
( iLess0(xr,sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41171,c_66,c_41038]) ).
tcf(c_41175,plain,
sdtpldt0(xr,sK0(xr,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_41170,c_66,c_41038]) ).
tcf(c_41176,plain,
( ( sdtpldt0(xp,xr) = xr )
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41169,c_66,c_41038]) ).
tcf(c_41179,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41164,c_66,c_41038]) ).
tcf(c_41183,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41166,c_66,c_41038]) ).
tcf(c_41187,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41165,c_66,c_41038]) ).
tcf(c_41193,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41167,c_66,c_41038]) ).
tcf(c_41208,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_40509,c_81]) ).
tcf(c_41209,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_40509,c_76]) ).
tcf(c_41210,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| iLess0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_40509,c_37282]) ).
tcf(c_41211,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_40509,c_27448]) ).
tcf(c_41212,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_40509,c_21679]) ).
tcf(c_41213,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_40509,c_13445]) ).
tcf(c_41214,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_40509,c_13129]) ).
tcf(c_41217,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_40509,c_8360]) ).
tcf(c_41219,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ( sdtpldt0(sz10,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_40509,c_85]) ).
tcf(c_41220,plain,
( sdtlseqdt0(xp,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_40509,c_188]) ).
tcf(c_41221,plain,
( aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_40509,c_95]) ).
tcf(c_41222,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(xp,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_40509,c_79]) ).
tcf(c_41223,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(sz10,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_40509,c_79]) ).
tcf(c_41224,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_40509,c_88]) ).
tcf(c_41225,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xp) ),
inference(superposition,[status(thm)],[c_40509,c_77]) ).
tcf(c_41226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(X0,sz10))
| ( X0 = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_40509,c_81]) ).
tcf(c_41227,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_40509,c_87]) ).
tcf(c_41228,plain,
aNaturalNumber0(sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_41221,c_138,c_51]) ).
tcf(c_41229,plain,
sdtlseqdt0(xp,sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_41220,c_138,c_51]) ).
tcf(c_41230,plain,
sdtpldt0(sz10,xp) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_41219,c_27861,c_138,c_51]) ).
tcf(c_41231,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41227,c_138,c_51]) ).
tcf(c_41235,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41225,c_138,c_51]) ).
tcf(c_41240,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41224,c_138,c_51]) ).
tcf(c_41244,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41209,c_138,c_51]) ).
tcf(c_41249,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(X0,sz10))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41226,c_138,c_51]) ).
tcf(c_41254,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(sz10,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41223,c_138,c_51]) ).
tcf(c_41259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(xp,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41222,c_138,c_51]) ).
tcf(c_41264,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41208,c_138,c_51]) ).
tcf(c_41269,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41212,c_138,c_51]) ).
tcf(c_41274,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41211,c_138,c_51]) ).
tcf(c_41279,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41217,c_138,c_51]) ).
tcf(c_41284,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| iLess0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41210,c_138,c_51]) ).
tcf(c_41289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41214,c_138,c_51]) ).
tcf(c_41297,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41213,c_138,c_51]) ).
tcf(c_41327,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(sz10,xp)),sdtasdt0(X0,sdtpldt0(sz10,xp))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41228,c_90]) ).
tcf(c_41328,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xp),X1),sdtasdt0(sdtpldt0(sz10,xp),X0)) = sdtasdt0(sdtpldt0(sz10,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41228,c_89]) ).
tcf(c_41329,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xp),X1),X0) = sdtasdt0(sdtpldt0(sz10,xp),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41228,c_110]) ).
tcf(c_41330,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xp),X1),X0) = sdtpldt0(sdtpldt0(sz10,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41228,c_93]) ).
tcf(c_41331,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),X0) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41228,c_195]) ).
tcf(c_41332,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xp),X0) = sdtasdt0(X0,sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41228,c_111]) ).
tcf(c_41333,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xp),X0) = sdtpldt0(X0,sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41228,c_94]) ).
tcf(c_41334,plain,
sdtpldt0(sdtpldt0(sz10,xp),xp) = sdtpldt0(xp,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_41228,c_5081]) ).
tcf(c_41335,plain,
sdtpldt0(sdtpldt0(sz10,xp),xm) = sdtpldt0(xm,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_41228,c_5080]) ).
tcf(c_41336,plain,
sdtpldt0(sdtpldt0(sz10,xp),xn) = sdtpldt0(xn,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_41228,c_5079]) ).
tcf(c_41337,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xp)) = sdtpldt0(sz10,xp),
inference(superposition,[status(thm)],[c_41228,c_137]) ).
tcf(c_41338,plain,
sdtasdt0(sdtpldt0(sz10,xp),sz10) = sdtpldt0(sz10,xp),
inference(superposition,[status(thm)],[c_41228,c_136]) ).
tcf(c_41339,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xp)) = sz00,
inference(superposition,[status(thm)],[c_41228,c_109]) ).
tcf(c_41340,plain,
sdtasdt0(sdtpldt0(sz10,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_41228,c_108]) ).
tcf(c_41341,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xp)) = sdtpldt0(sz10,xp),
inference(superposition,[status(thm)],[c_41228,c_92]) ).
tcf(c_41342,plain,
sdtpldt0(sdtpldt0(sz10,xp),sz00) = sdtpldt0(sz10,xp),
inference(superposition,[status(thm)],[c_41228,c_91]) ).
tcf(c_41445,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41229,c_127]) ).
tcf(c_41446,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41229,c_38665]) ).
tcf(c_41447,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41229,c_35501]) ).
tcf(c_41448,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41229,c_25716]) ).
tcf(c_41449,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_41229,c_7926]) ).
tcf(c_41450,plain,
( ( sdtpldt0(sz10,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xp) ),
inference(superposition,[status(thm)],[c_41229,c_128]) ).
tcf(c_41451,plain,
( ( sdtpldt0(xp,sK0(xp,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41229,c_84]) ).
tcf(c_41452,plain,
( iLess0(xp,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41229,c_96]) ).
tcf(c_41453,plain,
( iLess0(xp,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41452,c_51,c_41228]) ).
tcf(c_41456,plain,
sdtpldt0(xp,sK0(xp,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_41451,c_51,c_41228]) ).
tcf(c_41457,plain,
( ( sdtpldt0(sz10,xp) = xp )
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41450,c_51,c_41228]) ).
tcf(c_41460,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41445,c_51,c_41228]) ).
tcf(c_41464,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41447,c_51,c_41228]) ).
tcf(c_41468,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41446,c_51,c_41228]) ).
tcf(c_41474,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41448,c_51,c_41228]) ).
tcf(c_41484,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(global_subsumption_just,[status(thm)],[c_41089,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_41089]) ).
tcf(c_41494,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_41484]) ).
tcf(c_41495,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_126,c_41484]) ).
tcf(c_41498,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41495,c_49,c_41038]) ).
tcf(c_41502,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41494,c_49,c_41038]) ).
tcf(c_41508,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(global_subsumption_just,[status(thm)],[c_41279,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_41279]) ).
tcf(c_41518,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_8313,c_41508]) ).
tcf(c_41519,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_126,c_41508]) ).
tcf(c_41522,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41519,c_49,c_41228]) ).
tcf(c_41526,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41518,c_49,c_41228]) ).
tcf(c_41532,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(global_subsumption_just,[status(thm)],[c_27507,c_134,c_66,c_49,c_74,c_144,c_95,c_161,c_1657,c_5737,c_6066,c_33249,c_35523]) ).
tcf(c_41550,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),X0),X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),X0) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_188,c_41532]) ).
tcf(c_41551,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(sdtsldt0(xn,xr),X0),X1))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(sdtsldt0(xn,xr),X0) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_100,c_41532]) ).
tcf(c_41553,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_41532]) ).
tcf(c_41554,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26179,c_41532]) ).
tcf(c_41555,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26051,c_41532]) ).
tcf(c_41566,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_25161,c_41532]) ).
tcf(c_41567,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25446,c_41532]) ).
tcf(c_41568,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25066,c_41532]) ).
tcf(c_41569,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27750,c_41532]) ).
tcf(c_41570,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26638,c_41532]) ).
tcf(c_41571,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25445,c_41532]) ).
tcf(c_41572,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25197,c_41532]) ).
tcf(c_41573,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,X0))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25308,c_41532]) ).
tcf(c_41579,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),X1))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11890,c_41532]) ).
tcf(c_41581,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26249,c_41532]) ).
tcf(c_41583,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,X0))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41573,c_138]) ).
tcf(c_41590,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41572,c_51]) ).
tcf(c_41597,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41571,c_51]) ).
tcf(c_41604,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41570,c_51]) ).
tcf(c_41611,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41569,c_51]) ).
tcf(c_41618,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41568,c_66]) ).
tcf(c_41625,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41567,c_66]) ).
tcf(c_41632,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41555,c_50]) ).
tcf(c_41671,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41581,c_33614]) ).
tcf(c_41691,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_41671,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_41671]) ).
tcf(c_41692,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(renaming,[status(thm)],[c_41691]) ).
tcf(c_41710,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_41692,c_127]) ).
tcf(c_41711,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_41692,c_38665]) ).
tcf(c_41712,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_41692,c_35501]) ).
tcf(c_41713,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz10,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_41692,c_25716]) ).
tcf(c_41714,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(superposition,[status(thm)],[c_41692,c_7926]) ).
tcf(c_41715,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),sz00) ),
inference(superposition,[status(thm)],[c_41692,c_128]) ).
tcf(c_41716,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))) = sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_41692,c_84]) ).
tcf(c_41717,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_41692,c_96]) ).
tcf(c_41719,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41710,c_134]) ).
tcf(c_41731,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41717,c_134]) ).
tcf(c_41742,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41711,c_134]) ).
tcf(c_41754,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))) = sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41716,c_134]) ).
tcf(c_41764,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41715,c_134]) ).
tcf(c_41775,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41714,c_134]) ).
tcf(c_41787,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz10,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41713,c_134]) ).
tcf(c_41809,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_27508,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_27508,c_33249]) ).
tcf(c_41841,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5619,c_41809]) ).
tcf(c_41844,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5688,c_41809]) ).
tcf(c_41846,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5719,c_41809]) ).
tcf(c_41851,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sK0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6026,c_41809]) ).
tcf(c_41880,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_40501,c_41809]) ).
tcf(c_41881,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,sK0(xp,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_40509,c_41809]) ).
tcf(c_41882,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_41809,c_127]) ).
tcf(c_41883,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_41809,c_38665]) ).
tcf(c_41884,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_41809,c_35501]) ).
tcf(c_41885,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_41809,c_25716]) ).
tcf(c_41887,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_41809,c_128]) ).
tcf(c_41888,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_41809,c_84]) ).
tcf(c_41889,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_41809,c_96]) ).
tcf(c_41890,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,sK0(xp,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41881,c_138,c_51]) ).
tcf(c_41894,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41880,c_66,c_51]) ).
tcf(c_41898,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41846,c_49,c_5707]) ).
tcf(c_41902,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41844,c_49,c_5662]) ).
tcf(c_41906,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41841,c_49,c_5447]) ).
tcf(c_41911,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41889,c_134]) ).
tcf(c_41919,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41888,c_134]) ).
tcf(c_41926,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41887,c_134]) ).
tcf(c_41934,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,sz00)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41882,c_134]) ).
tcf(c_41943,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sK0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41851,c_49,c_5784]) ).
tcf(c_41947,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41883,c_134]) ).
tcf(c_41956,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41885,c_134]) ).
tcf(c_41968,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_26838,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_26838,c_33249]) ).
tcf(c_41988,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,xk)
| sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_69,c_41968]) ).
tcf(c_41990,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_41968]) ).
tcf(c_41991,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_41968]) ).
tcf(c_41992,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_41968]) ).
tcf(c_41993,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_41968]) ).
tcf(c_41994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X0,X1),X3)
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_79,c_41968]) ).
tcf(c_41995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X0,X1),X3)
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_41968]) ).
tcf(c_41996,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_188,c_41968]) ).
tcf(c_41997,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_41968]) ).
tcf(c_41998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X2))
| sdtlseqdt0(sdtasdt0(X0,X1),X3)
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_41968]) ).
tcf(c_41999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X2,X1))
| sdtlseqdt0(sdtasdt0(X0,X1),X3)
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_104,c_41968]) ).
tcf(c_42001,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_41968]) ).
tcf(c_42002,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25197,c_41968]) ).
tcf(c_42003,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_41968]) ).
tcf(c_42004,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_135,c_41968]) ).
tcf(c_42016,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_33603,c_41968]) ).
tcf(c_42029,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28161,c_41968]) ).
tcf(c_42030,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27448,c_41968]) ).
tcf(c_42032,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23072,c_41968]) ).
tcf(c_42033,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21679,c_41968]) ).
tcf(c_42034,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8306,c_41968]) ).
tcf(c_42035,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8299,c_41968]) ).
tcf(c_42037,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_36058,c_41968]) ).
tcf(c_42038,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_41968]) ).
tcf(c_42039,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_41968]) ).
tcf(c_42040,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31263,c_41968]) ).
tcf(c_42041,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26220,c_41968]) ).
tcf(c_42042,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_41968]) ).
tcf(c_42043,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_41968]) ).
tcf(c_42044,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_41968]) ).
tcf(c_42045,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_41968]) ).
tcf(c_42046,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25445,c_41968]) ).
tcf(c_42047,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_41968]) ).
tcf(c_42048,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_37151,c_41968]) ).
tcf(c_42049,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_34375,c_41968]) ).
tcf(c_42050,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_41968]) ).
tcf(c_42051,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19709,c_41968]) ).
tcf(c_42052,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17870,c_41968]) ).
tcf(c_42053,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_20454,c_41968]) ).
tcf(c_42054,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18192,c_41968]) ).
tcf(c_42055,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8110,c_41968]) ).
tcf(c_42056,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8038,c_41968]) ).
tcf(c_42072,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_36070,c_41968]) ).
tcf(c_42073,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| iLess0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26842,c_41968]) ).
tcf(c_42074,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_41968]) ).
tcf(c_42075,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_41968]) ).
tcf(c_42076,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18337,c_41968]) ).
tcf(c_42077,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8048,c_41968]) ).
tcf(c_42078,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19193,c_41968]) ).
tcf(c_42079,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8080,c_41968]) ).
tcf(c_42080,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8099,c_41968]) ).
tcf(c_42081,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8043,c_41968]) ).
tcf(c_42082,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_8086,c_41968]) ).
tcf(c_42083,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27750,c_41968]) ).
tcf(c_42084,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_41968]) ).
tcf(c_42085,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21679,c_41968]) ).
tcf(c_42086,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_23072,c_41968]) ).
tcf(c_42087,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_17695,c_41968]) ).
tcf(c_42088,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_21334,c_41968]) ).
tcf(c_42089,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_22438,c_41968]) ).
tcf(c_42090,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_33614,c_41968]) ).
tcf(c_42091,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xm,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26638,c_41968]) ).
tcf(c_42092,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26248,c_41968]) ).
tcf(c_42093,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_41968]) ).
tcf(c_42094,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11890,c_41968]) ).
tcf(c_42095,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),X1)
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11883,c_41968]) ).
tcf(c_42096,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),X0)
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_14099,c_41968]) ).
tcf(c_42102,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21012,c_41968]) ).
tcf(c_42106,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_23582,c_41968]) ).
tcf(c_42107,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_41968]) ).
tcf(c_42108,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),X0)
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23712,c_41968]) ).
tcf(c_42109,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_31649,c_41968]) ).
tcf(c_42110,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24872,c_41968]) ).
tcf(c_42111,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24741,c_41968]) ).
tcf(c_42112,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_41809,c_41968]) ).
tcf(c_42113,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_37282,c_41968]) ).
tcf(c_42114,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27448,c_41968]) ).
tcf(c_42115,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_28161,c_41968]) ).
tcf(c_42116,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_30663,c_41968]) ).
tcf(c_42117,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_31375,c_41968]) ).
tcf(c_42118,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_41692,c_41968]) ).
tcf(c_42119,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29217,c_41968]) ).
tcf(c_42120,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29390,c_41968]) ).
tcf(c_42127,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xp,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_34317,c_41968]) ).
tcf(c_42128,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xr,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_35421,c_41968]) ).
tcf(c_42129,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_38144,c_41968]) ).
tcf(c_42136,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41039,c_41968]) ).
tcf(c_42137,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41229,c_41968]) ).
tcf(c_42138,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,xk)
| sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41988,c_66]) ).
tcf(c_42145,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xm,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42091,c_50]) ).
tcf(c_42159,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42083,c_49]) ).
tcf(c_42167,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42047,c_134]) ).
tcf(c_42175,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42046,c_134]) ).
tcf(c_42183,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42045,c_134]) ).
tcf(c_42191,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42044,c_134]) ).
tcf(c_42199,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42043,c_134]) ).
tcf(c_42207,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42003,c_138]) ).
tcf(c_42215,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42002,c_138]) ).
tcf(c_42239,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42137,c_51,c_41228]) ).
tcf(c_42245,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42136,c_66,c_41038]) ).
tcf(c_42261,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42081,c_66]) ).
tcf(c_42270,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42077,c_50]) ).
tcf(c_42278,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42056,c_138]) ).
tcf(c_42288,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42040,c_134]) ).
tcf(c_42297,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42004,c_138]) ).
tcf(c_42306,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42079,c_66]) ).
tcf(c_42342,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),X0)
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42108,c_5707,c_23711]) ).
tcf(c_42348,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42102,c_5662,c_21011]) ).
tcf(c_42354,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),X0)
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42096,c_5447,c_14098]) ).
tcf(c_42360,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42055,c_138]) ).
tcf(c_42369,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42041,c_134]) ).
tcf(c_42435,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42129,c_30349]) ).
tcf(c_42443,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xr,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42128,c_30030]) ).
tcf(c_42451,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xp,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42127,c_28961]) ).
tcf(c_42459,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42089,c_5707]) ).
tcf(c_42467,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42088,c_5662]) ).
tcf(c_42475,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42087,c_5447]) ).
tcf(c_42483,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42082,c_5404]) ).
tcf(c_42491,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42050,c_138]) ).
tcf(c_42511,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42078,c_66]) ).
tcf(c_42520,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42076,c_50]) ).
tcf(c_42529,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42054,c_138]) ).
tcf(c_42538,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42053,c_138]) ).
tcf(c_42547,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42116,c_134]) ).
tcf(c_42556,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42084,c_49]) ).
tcf(c_42567,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42042,c_134]) ).
tcf(c_42578,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42039,c_134]) ).
tcf(c_42619,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42038,c_134]) ).
tcf(c_42640,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42052,c_138]) ).
tcf(c_42650,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42051,c_138]) ).
tcf(c_42660,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42117,c_134]) ).
tcf(c_42670,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42114,c_134]) ).
tcf(c_42681,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42109,c_5784]) ).
tcf(c_42689,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42085,c_49]) ).
tcf(c_42700,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42113,c_134]) ).
tcf(c_42711,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42112,c_134]) ).
tcf(c_42721,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42115,c_134]) ).
tcf(c_42733,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42086,c_49]) ).
tcf(c_42838,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42093,c_134]) ).
tcf(c_42850,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42092,c_134]) ).
tcf(c_42860,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42118,c_134]) ).
tcf(c_42873,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42119,c_134]) ).
tcf(c_42886,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42111,c_49]) ).
tcf(c_42899,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42120,c_134]) ).
tcf(c_42913,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42110,c_49]) ).
tcf(c_43017,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,sdtpldt0(xn,xp))),sdtpldt0(xn,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_6186,c_81]) ).
tcf(c_43018,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xp,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_6186,c_76]) ).
tcf(c_43022,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_6186,c_21679]) ).
tcf(c_43023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,sdtpldt0(xn,xp))),sdtsldt0(xn,xr))
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_6186,c_13445]) ).
tcf(c_43024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xp,sdtpldt0(xn,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp)))
| ~ sdtlseqdt0(X0,sK0(xp,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_6186,c_13129]) ).
tcf(c_43027,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_6186,c_8360]) ).
tcf(c_43032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xp,X0))
| ( sK0(xp,sdtpldt0(xn,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp)))
| ~ sdtlseqdt0(sK0(xp,sdtpldt0(xn,xp)),X0) ),
inference(superposition,[status(thm)],[c_6186,c_79]) ).
tcf(c_43033,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
| ( sK0(xp,sdtpldt0(xn,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp)))
| ~ sdtlseqdt0(X0,sK0(xp,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_6186,c_79]) ).
tcf(c_43034,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp)))
| ( sdtpldt0(X0,sK0(xp,sdtpldt0(xn,xp))) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_6186,c_88]) ).
tcf(c_43035,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp)))
| ~ doDivides0(X0,sK0(xp,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_6186,c_77]) ).
tcf(c_43036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sK0(xp,sdtpldt0(xn,xp))))
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_6186,c_81]) ).
tcf(c_43037,plain,
! [X0: $i] :
( ( sK0(xp,sdtpldt0(xn,xp)) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp)))
| ( sdtpldt0(xp,X0) != sdtpldt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_6186,c_87]) ).
tcf(c_43038,plain,
! [X0: $i] :
( ( sK0(xp,sdtpldt0(xn,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp)))
| ( sdtpldt0(xp,X0) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43037,c_51]) ).
tcf(c_43043,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp)))
| ~ doDivides0(X0,sK0(xp,sdtpldt0(xn,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43035,c_51]) ).
tcf(c_43049,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp)))
| ( sdtpldt0(X0,sK0(xp,sdtpldt0(xn,xp))) != sdtpldt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43034,c_51]) ).
tcf(c_43054,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xp,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43018,c_51]) ).
tcf(c_43061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(X0,sK0(xp,sdtpldt0(xn,xp))))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43036,c_51]) ).
tcf(c_43068,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,sdtpldt0(xn,xp))),sdtpldt0(xn,xp))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43017,c_51]) ).
tcf(c_43074,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtpldt0(xn,xp))
| ( sK0(xp,sdtpldt0(xn,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp)))
| ~ sdtlseqdt0(X0,sK0(xp,sdtpldt0(xn,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43033,c_51]) ).
tcf(c_43080,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),sdtpldt0(xp,X0))
| ( sK0(xp,sdtpldt0(xn,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp)))
| ~ sdtlseqdt0(sK0(xp,sdtpldt0(xn,xp)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43032,c_51]) ).
tcf(c_43086,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xp,sdtpldt0(xn,xp))),sdtsldt0(xn,xr))
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43023,c_51]) ).
tcf(c_43095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xp,sdtpldt0(xn,xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ aNaturalNumber0(sK0(xp,sdtpldt0(xn,xp)))
| ~ sdtlseqdt0(X0,sK0(xp,sdtpldt0(xn,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43024,c_51]) ).
tcf(c_43554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41135,c_104]) ).
tcf(c_43557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41135,c_16382]) ).
tcf(c_43567,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtasdt0(X0,sdtpldt0(xp,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_41135,c_107]) ).
tcf(c_43568,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41135,c_104]) ).
tcf(c_43571,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43567,c_41040,c_134,c_41038]) ).
tcf(c_43575,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(xp,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43568,c_41040,c_134,c_41038]) ).
tcf(c_43580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43554,c_41040,c_134,c_41038]) ).
tcf(c_43585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43557,c_41040,c_134,c_4997,c_41038]) ).
tcf(c_43596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41136,c_16055]) ).
tcf(c_43601,plain,
( doDivides0(sdtpldt0(xp,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41136,c_185]) ).
tcf(c_43604,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41136,c_102]) ).
tcf(c_43607,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtasdt0(sdtpldt0(xp,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_41136,c_106]) ).
tcf(c_43608,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41136,c_102]) ).
tcf(c_43609,plain,
doDivides0(sdtpldt0(xp,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_43601,c_134,c_41038]) ).
tcf(c_43610,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43607,c_41040,c_134,c_41038]) ).
tcf(c_43614,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xp,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43608,c_41040,c_134,c_41038]) ).
tcf(c_43619,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xr),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43604,c_41040,c_134,c_41038]) ).
tcf(c_43624,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43596,c_41040,c_134,c_4997,c_41038]) ).
tcf(c_43631,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43609,c_130]) ).
tcf(c_43632,plain,
( ( sdtpldt0(xp,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xr),sdtsldt0(sz00,sdtpldt0(xp,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43609,c_133]) ).
tcf(c_43634,plain,
( ( sdtasdt0(sdtpldt0(xp,xr),sK1(sdtpldt0(xp,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43609,c_99]) ).
tcf(c_43636,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ doDivides0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43609,c_114]) ).
tcf(c_43637,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43636,c_134,c_41038]) ).
tcf(c_43641,plain,
sdtasdt0(sdtpldt0(xp,xr),sK1(sdtpldt0(xp,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_43634,c_134,c_41038]) ).
tcf(c_43642,plain,
sdtasdt0(sdtpldt0(xp,xr),sdtsldt0(sz00,sdtpldt0(xp,xr))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_43632,c_41040,c_134,c_41038]) ).
tcf(c_43643,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(xp,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43631,c_41040,c_134,c_41038]) ).
tcf(c_43647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41339,c_104]) ).
tcf(c_43650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41339,c_16382]) ).
tcf(c_43660,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtasdt0(X0,sdtpldt0(sz10,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_41339,c_107]) ).
tcf(c_43661,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xp)))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41339,c_104]) ).
tcf(c_43664,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43660,c_41230,c_134,c_41228]) ).
tcf(c_43668,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43661,c_41230,c_134,c_41228]) ).
tcf(c_43673,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43647,c_41230,c_134,c_41228]) ).
tcf(c_43678,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43650,c_41230,c_134,c_4997,c_41228]) ).
tcf(c_43700,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41340,c_16055]) ).
tcf(c_43705,plain,
( doDivides0(sdtpldt0(sz10,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41340,c_185]) ).
tcf(c_43708,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41340,c_102]) ).
tcf(c_43711,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtasdt0(sdtpldt0(sz10,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_41340,c_106]) ).
tcf(c_43712,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41340,c_102]) ).
tcf(c_43713,plain,
doDivides0(sdtpldt0(sz10,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_43705,c_134,c_41228]) ).
tcf(c_43714,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43711,c_41230,c_134,c_41228]) ).
tcf(c_43718,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43712,c_41230,c_134,c_41228]) ).
tcf(c_43723,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43708,c_41230,c_134,c_41228]) ).
tcf(c_43728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43700,c_41230,c_134,c_4997,c_41228]) ).
tcf(c_43735,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xp))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_43713,c_130]) ).
tcf(c_43736,plain,
( ( sdtpldt0(sz10,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xp),sdtsldt0(sz00,sdtpldt0(sz10,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_43713,c_133]) ).
tcf(c_43738,plain,
( ( sdtasdt0(sdtpldt0(sz10,xp),sK1(sdtpldt0(sz10,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_43713,c_99]) ).
tcf(c_43740,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ doDivides0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_43713,c_114]) ).
tcf(c_43741,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43740,c_134,c_41228]) ).
tcf(c_43745,plain,
sdtasdt0(sdtpldt0(sz10,xp),sK1(sdtpldt0(sz10,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_43738,c_134,c_41228]) ).
tcf(c_43746,plain,
sdtasdt0(sdtpldt0(sz10,xp),sdtsldt0(sz00,sdtpldt0(sz10,xp))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_43736,c_41230,c_134,c_41228]) ).
tcf(c_43747,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xp))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43735,c_41230,c_134,c_41228]) ).
tcf(c_43776,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sdtpldt0(xp,xr))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41133,c_104]) ).
tcf(c_43777,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41133,c_28161]) ).
tcf(c_43778,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41133,c_23072]) ).
tcf(c_43779,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_41133,c_16382]) ).
tcf(c_43780,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41133,c_16055]) ).
tcf(c_43783,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_41133,c_9145]) ).
tcf(c_43785,plain,
( doDivides0(sz10,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41133,c_185]) ).
tcf(c_43787,plain,
( sdtlseqdt0(sz10,sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41133,c_100]) ).
tcf(c_43788,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41133,c_102]) ).
tcf(c_43789,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtasdt0(X0,sdtpldt0(xp,xr)) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_41133,c_107]) ).
tcf(c_43790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtasdt0(X0,sdtpldt0(xp,xr)))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41133,c_104]) ).
tcf(c_43791,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_41133,c_106]) ).
tcf(c_43792,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_41133,c_102]) ).
tcf(c_43793,plain,
doDivides0(sz10,sdtpldt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_43785,c_138,c_41038]) ).
tcf(c_43794,plain,
sdtlseqdt0(sz10,sdtpldt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_43787,c_41040,c_138,c_41038]) ).
tcf(c_43795,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43791,c_139,c_138,c_41038]) ).
tcf(c_43799,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(xp,xr)) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43789,c_41040,c_138,c_41038]) ).
tcf(c_43803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtasdt0(sz10,X0))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43792,c_139,c_138,c_41038]) ).
tcf(c_43808,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtasdt0(X0,sdtpldt0(xp,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43790,c_41040,c_138,c_41038]) ).
tcf(c_43813,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43788,c_139,c_138,c_41038]) ).
tcf(c_43818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sdtpldt0(xp,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43776,c_41040,c_138,c_41038]) ).
tcf(c_43823,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43778,c_41040,c_138,c_41038]) ).
tcf(c_43828,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43777,c_41040,c_138,c_41038]) ).
tcf(c_43833,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43783,c_41040,c_138,c_41038]) ).
tcf(c_43838,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43780,c_139,c_138,c_41038]) ).
tcf(c_43846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43779,c_41040,c_138,c_41038]) ).
tcf(c_43873,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_42106,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_10138,c_33249]) ).
tcf(c_43882,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_127]) ).
tcf(c_43883,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_41968]) ).
tcf(c_43884,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_38665]) ).
tcf(c_43886,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_25716]) ).
tcf(c_43887,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_43873,c_7926]) ).
tcf(c_43889,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_84]) ).
tcf(c_43890,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_96]) ).
tcf(c_43894,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_43873,c_11272]) ).
tcf(c_43895,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_43873,c_24316]) ).
tcf(c_43897,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_127]) ).
tcf(c_43898,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_41968]) ).
tcf(c_43904,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_84]) ).
tcf(c_43905,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_96]) ).
tcf(c_43906,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_7326]) ).
tcf(c_43907,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_8138]) ).
tcf(c_43909,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_8012]) ).
tcf(c_43910,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_7322]) ).
tcf(c_43911,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43873,c_41532]) ).
tcf(c_43912,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn) ),
inference(superposition,[status(thm)],[c_43873,c_34545]) ).
tcf(c_43914,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_7288]) ).
tcf(c_43915,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_7284]) ).
tcf(c_43916,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_7308]) ).
tcf(c_43917,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_7304]) ).
tcf(c_43918,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_7300]) ).
tcf(c_43919,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_7296]) ).
tcf(c_43920,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_7292]) ).
tcf(c_43921,plain,
( sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_43873,c_11265]) ).
tcf(c_43924,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43920,c_134]) ).
tcf(c_43928,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43919,c_134]) ).
tcf(c_43932,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43918,c_134]) ).
tcf(c_43936,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43917,c_134]) ).
tcf(c_43940,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43916,c_134]) ).
tcf(c_43944,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43915,c_138]) ).
tcf(c_43948,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43914,c_138]) ).
tcf(c_43952,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43910,c_50]) ).
tcf(c_43956,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43906,c_49]) ).
tcf(c_44008,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43909,c_49]) ).
tcf(c_44045,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43907,c_49]) ).
tcf(c_44126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_43890,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_43890]) ).
tcf(c_44154,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_43905,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_43905]) ).
tcf(c_44165,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_43882,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_43882]) ).
tcf(c_44178,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_58,c_44165]) ).
tcf(c_44179,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_60,c_44165]) ).
tcf(c_44180,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_69,c_44165]) ).
tcf(c_44181,plain,
( sdtlseqdt0(xk,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_72,c_44165]) ).
tcf(c_44182,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_44165]) ).
tcf(c_44184,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_44165]) ).
tcf(c_44185,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_44165]) ).
tcf(c_44186,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X0,X1),sdtsldt0(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_79,c_44165]) ).
tcf(c_44187,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X0,X1),sdtsldt0(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_81,c_44165]) ).
tcf(c_44188,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_188,c_44165]) ).
tcf(c_44189,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_44165]) ).
tcf(c_44190,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X2))
| sdtlseqdt0(sdtasdt0(X0,X1),sdtsldt0(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_102,c_44165]) ).
tcf(c_44191,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X2,X1))
| sdtlseqdt0(sdtasdt0(X0,X1),sdtsldt0(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_104,c_44165]) ).
tcf(c_44193,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_44165]) ).
tcf(c_44194,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25197,c_44165]) ).
tcf(c_44195,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_44165]) ).
tcf(c_44196,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_135,c_44165]) ).
tcf(c_44197,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4992,c_44165]) ).
tcf(c_44198,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5002,c_44165]) ).
tcf(c_44199,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_5001,c_44165]) ).
tcf(c_44200,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_5000,c_44165]) ).
tcf(c_44201,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_4999,c_44165]) ).
tcf(c_44202,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4998,c_44165]) ).
tcf(c_44203,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4997,c_44165]) ).
tcf(c_44204,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4996,c_44165]) ).
tcf(c_44205,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_4995,c_44165]) ).
tcf(c_44206,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4994,c_44165]) ).
tcf(c_44207,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4993,c_44165]) ).
tcf(c_44209,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5405,c_44165]) ).
tcf(c_44210,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5448,c_44165]) ).
tcf(c_44211,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5493,c_44165]) ).
tcf(c_44212,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_5490,c_44165]) ).
tcf(c_44213,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_5648,c_44165]) ).
tcf(c_44214,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_5646,c_44165]) ).
tcf(c_44215,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_44165]) ).
tcf(c_44216,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_44165]) ).
tcf(c_44218,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5663,c_44165]) ).
tcf(c_44219,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5708,c_44165]) ).
tcf(c_44232,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_44165]) ).
tcf(c_44233,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_44165]) ).
tcf(c_44234,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31263,c_44165]) ).
tcf(c_44235,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26220,c_44165]) ).
tcf(c_44236,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_44165]) ).
tcf(c_44237,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_44165]) ).
tcf(c_44238,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_44165]) ).
tcf(c_44239,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_44165]) ).
tcf(c_44240,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25445,c_44165]) ).
tcf(c_44241,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_44165]) ).
tcf(c_44251,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_5785,c_44165]) ).
tcf(c_44252,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5982,c_44165]) ).
tcf(c_44254,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_44165]) ).
tcf(c_44255,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_44165]) ).
tcf(c_44256,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27750,c_44165]) ).
tcf(c_44257,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26638,c_44165]) ).
tcf(c_44258,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25445,c_44165]) ).
tcf(c_44259,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25197,c_44165]) ).
tcf(c_44260,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_44165]) ).
tcf(c_44261,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_6800,c_44165]) ).
tcf(c_44262,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_7238,c_44165]) ).
tcf(c_44263,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_18808,c_44165]) ).
tcf(c_44264,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_22054,c_44165]) ).
tcf(c_44265,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22813,c_44165]) ).
tcf(c_44277,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27750,c_44165]) ).
tcf(c_44278,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_44165]) ).
tcf(c_44279,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21679,c_44165]) ).
tcf(c_44280,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_23072,c_44165]) ).
tcf(c_44285,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26638,c_44165]) ).
tcf(c_44286,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26248,c_44165]) ).
tcf(c_44287,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_44165]) ).
tcf(c_44290,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_14099,c_44165]) ).
tcf(c_44291,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_27747,c_44165]) ).
tcf(c_44292,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_16748,c_44165]) ).
tcf(c_44293,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_17666,c_44165]) ).
tcf(c_44294,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_33751,c_44165]) ).
tcf(c_44295,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20734,c_44165]) ).
tcf(c_44296,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21012,c_44165]) ).
tcf(c_44297,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21305,c_44165]) ).
tcf(c_44298,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22212,c_44165]) ).
tcf(c_44299,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22409,c_44165]) ).
tcf(c_44302,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23712,c_44165]) ).
tcf(c_44304,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24872,c_44165]) ).
tcf(c_44305,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24741,c_44165]) ).
tcf(c_44306,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_41809,c_44165]) ).
tcf(c_44307,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_37282,c_44165]) ).
tcf(c_44308,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27448,c_44165]) ).
tcf(c_44309,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_28161,c_44165]) ).
tcf(c_44310,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_30663,c_44165]) ).
tcf(c_44311,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_31375,c_44165]) ).
tcf(c_44312,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_41692,c_44165]) ).
tcf(c_44313,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29217,c_44165]) ).
tcf(c_44314,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29390,c_44165]) ).
tcf(c_44315,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_34074,c_44165]) ).
tcf(c_44316,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28962,c_44165]) ).
tcf(c_44317,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_36542,c_44165]) ).
tcf(c_44318,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30031,c_44165]) ).
tcf(c_44319,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37814,c_44165]) ).
tcf(c_44320,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30350,c_44165]) ).
tcf(c_44324,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_32010,c_44165]) ).
tcf(c_44325,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_34867,c_44165]) ).
tcf(c_44326,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_36826,c_44165]) ).
tcf(c_44327,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_33924,c_44165]) ).
tcf(c_44328,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_35085,c_44165]) ).
tcf(c_44329,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37655,c_44165]) ).
tcf(c_44330,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41039,c_44165]) ).
tcf(c_44331,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41229,c_44165]) ).
tcf(c_44332,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44202,c_138]) ).
tcf(c_44335,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44201,c_66]) ).
tcf(c_44338,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44200,c_51]) ).
tcf(c_44341,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44199,c_50]) ).
tcf(c_44344,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44198,c_49]) ).
tcf(c_44347,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44197,c_134]) ).
tcf(c_44350,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44214,c_66,c_138]) ).
tcf(c_44353,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44213,c_138,c_51]) ).
tcf(c_44356,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44207,c_138,c_134]) ).
tcf(c_44359,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44206,c_66,c_134]) ).
tcf(c_44362,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44205,c_134,c_51]) ).
tcf(c_44365,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44204,c_134,c_50]) ).
tcf(c_44368,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44203,c_134,c_49]) ).
tcf(c_44371,plain,
( sdtlseqdt0(xk,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44181,c_51]) ).
tcf(c_44375,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xk)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44180,c_66]) ).
tcf(c_44379,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44179,c_51,c_50]) ).
tcf(c_44382,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44178,c_51,c_49]) ).
tcf(c_44385,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44329,c_30349]) ).
tcf(c_44388,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| sdtlseqdt0(sdtpldt0(xr,xm),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44328,c_30030]) ).
tcf(c_44391,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| sdtlseqdt0(sdtpldt0(xp,xm),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44327,c_28961]) ).
tcf(c_44394,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44299,c_5707]) ).
tcf(c_44397,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44297,c_5662]) ).
tcf(c_44400,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44293,c_5447]) ).
tcf(c_44403,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44285,c_50]) ).
tcf(c_44408,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44277,c_49]) ).
tcf(c_44413,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44261,c_5404]) ).
tcf(c_44416,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44260,c_138]) ).
tcf(c_44421,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44259,c_51]) ).
tcf(c_44426,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44258,c_51]) ).
tcf(c_44431,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44257,c_51]) ).
tcf(c_44436,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44256,c_51]) ).
tcf(c_44441,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44255,c_66]) ).
tcf(c_44446,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44254,c_66]) ).
tcf(c_44451,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44241,c_134]) ).
tcf(c_44456,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44240,c_134]) ).
tcf(c_44461,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44239,c_134]) ).
tcf(c_44466,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44238,c_134]) ).
tcf(c_44471,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44237,c_134]) ).
tcf(c_44476,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44216,c_50]) ).
tcf(c_44481,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44215,c_49]) ).
tcf(c_44486,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44195,c_138]) ).
tcf(c_44491,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44194,c_138]) ).
tcf(c_44506,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44331,c_51,c_41228]) ).
tcf(c_44509,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44330,c_66,c_41038]) ).
tcf(c_44512,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44326,c_138,c_30349]) ).
tcf(c_44515,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44325,c_138,c_30030]) ).
tcf(c_44518,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44324,c_138,c_28961]) ).
tcf(c_44521,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44320,c_50,c_30349]) ).
tcf(c_44524,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44319,c_134,c_30349]) ).
tcf(c_44527,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44318,c_50,c_30030]) ).
tcf(c_44530,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44317,c_134,c_30030]) ).
tcf(c_44533,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44316,c_50,c_28961]) ).
tcf(c_44536,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44315,c_134,c_28961]) ).
tcf(c_44539,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44298,c_138,c_5707]) ).
tcf(c_44542,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44295,c_138,c_5662]) ).
tcf(c_44545,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44292,c_138,c_5447]) ).
tcf(c_44548,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44291,c_66,c_51]) ).
tcf(c_44552,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44265,c_134,c_5707]) ).
tcf(c_44555,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44264,c_134,c_5662]) ).
tcf(c_44558,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44263,c_134,c_5447]) ).
tcf(c_44561,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44262,c_134,c_5404]) ).
tcf(c_44564,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44252,c_66,c_49]) ).
tcf(c_44568,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44219,c_49,c_5707]) ).
tcf(c_44571,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44218,c_66,c_5662]) ).
tcf(c_44574,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44212,c_138,c_50]) ).
tcf(c_44578,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44211,c_138,c_49]) ).
tcf(c_44582,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44210,c_51,c_5447]) ).
tcf(c_44585,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44209,c_50,c_5404]) ).
tcf(c_44593,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44294,c_134,c_5784]) ).
tcf(c_44596,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44234,c_134]) ).
tcf(c_44602,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44196,c_138]) ).
tcf(c_44614,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44302,c_5707,c_23711]) ).
tcf(c_44617,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44296,c_5662,c_21011]) ).
tcf(c_44620,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44290,c_5447,c_14098]) ).
tcf(c_44623,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44251,c_5404,c_5784]) ).
tcf(c_44626,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44235,c_134]) ).
tcf(c_44648,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44310,c_134]) ).
tcf(c_44655,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44278,c_49]) ).
tcf(c_44665,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44233,c_134]) ).
tcf(c_44673,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44232,c_134]) ).
tcf(c_44700,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44311,c_134]) ).
tcf(c_44708,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44308,c_134]) ).
tcf(c_44717,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44279,c_49]) ).
tcf(c_44726,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44307,c_134]) ).
tcf(c_44735,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44306,c_134]) ).
tcf(c_44763,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44309,c_134]) ).
tcf(c_44773,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44280,c_49]) ).
tcf(c_44783,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44287,c_134]) ).
tcf(c_44793,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44286,c_134]) ).
tcf(c_44801,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44312,c_134]) ).
tcf(c_44812,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44313,c_134]) ).
tcf(c_44823,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44305,c_49]) ).
tcf(c_44834,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44314,c_134]) ).
tcf(c_44846,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44304,c_49]) ).
tcf(c_45037,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_43889,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_43889]) ).
tcf(c_45047,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_127]) ).
tcf(c_45049,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_41968]) ).
tcf(c_45054,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_128]) ).
tcf(c_45055,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_84]) ).
tcf(c_45056,plain,
! [X0: $i] :
( iLess0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_96]) ).
tcf(c_45057,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_7326]) ).
tcf(c_45061,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_7322]) ).
tcf(c_45062,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45037,c_41532]) ).
tcf(c_45063,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn) ),
inference(superposition,[status(thm)],[c_45037,c_34545]) ).
tcf(c_45065,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_7288]) ).
tcf(c_45066,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_7284]) ).
tcf(c_45067,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_7308]) ).
tcf(c_45068,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_7304]) ).
tcf(c_45069,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_7300]) ).
tcf(c_45070,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_7296]) ).
tcf(c_45071,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_7292]) ).
tcf(c_45072,plain,
( sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),sK0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45037,c_11265]) ).
tcf(c_45073,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45071,c_134]) ).
tcf(c_45077,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45070,c_134]) ).
tcf(c_45081,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45069,c_134]) ).
tcf(c_45085,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45068,c_134]) ).
tcf(c_45089,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45067,c_134]) ).
tcf(c_45093,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45066,c_138]) ).
tcf(c_45097,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45065,c_138]) ).
tcf(c_45101,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45061,c_50]) ).
tcf(c_45105,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45057,c_49]) ).
tcf(c_45159,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_43897,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_43897]) ).
tcf(c_45177,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25197,c_45159]) ).
tcf(c_45178,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25066,c_45159]) ).
tcf(c_45179,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_135,c_45159]) ).
tcf(c_45180,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33603,c_45159]) ).
tcf(c_45181,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_45159]) ).
tcf(c_45184,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_40361,c_45159]) ).
tcf(c_45185,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37215,c_45159]) ).
tcf(c_45186,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28161,c_45159]) ).
tcf(c_45187,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27448,c_45159]) ).
tcf(c_45189,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23072,c_45159]) ).
tcf(c_45190,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21679,c_45159]) ).
tcf(c_45191,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8306,c_45159]) ).
tcf(c_45192,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8299,c_45159]) ).
tcf(c_45194,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36058,c_45159]) ).
tcf(c_45195,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_38195,c_45159]) ).
tcf(c_45196,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_36070,c_45159]) ).
tcf(c_45197,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_31263,c_45159]) ).
tcf(c_45198,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26220,c_45159]) ).
tcf(c_45199,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_45159]) ).
tcf(c_45200,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26179,c_45159]) ).
tcf(c_45201,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26051,c_45159]) ).
tcf(c_45202,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25446,c_45159]) ).
tcf(c_45203,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25445,c_45159]) ).
tcf(c_45204,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25308,c_45159]) ).
tcf(c_45205,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37151,c_45159]) ).
tcf(c_45206,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn) ),
inference(superposition,[status(thm)],[c_34375,c_45159]) ).
tcf(c_45207,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25161,c_45159]) ).
tcf(c_45208,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19709,c_45159]) ).
tcf(c_45209,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_17870,c_45159]) ).
tcf(c_45210,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_20454,c_45159]) ).
tcf(c_45211,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18192,c_45159]) ).
tcf(c_45212,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8110,c_45159]) ).
tcf(c_45213,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8038,c_45159]) ).
tcf(c_45214,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_45159]) ).
tcf(c_45215,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| iLess0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26842,c_45159]) ).
tcf(c_45217,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_45159]) ).
tcf(c_45218,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18337,c_45159]) ).
tcf(c_45219,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8048,c_45159]) ).
tcf(c_45220,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_19193,c_45159]) ).
tcf(c_45221,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8080,c_45159]) ).
tcf(c_45223,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8043,c_45159]) ).
tcf(c_45224,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_8086,c_45159]) ).
tcf(c_45225,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27750,c_45159]) ).
tcf(c_45226,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_45159]) ).
tcf(c_45227,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_17695,c_45159]) ).
tcf(c_45228,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_21334,c_45159]) ).
tcf(c_45229,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_22438,c_45159]) ).
tcf(c_45231,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26638,c_45159]) ).
tcf(c_45232,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),X1)
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11883,c_45159]) ).
tcf(c_45233,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_31649,c_45159]) ).
tcf(c_45234,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xp,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_34317,c_45159]) ).
tcf(c_45235,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xr,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_35421,c_45159]) ).
tcf(c_45236,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_38144,c_45159]) ).
tcf(c_45247,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45206,c_138]) ).
tcf(c_45253,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45205,c_138]) ).
tcf(c_45272,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45223,c_66]) ).
tcf(c_45279,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45219,c_50]) ).
tcf(c_45286,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45213,c_138]) ).
tcf(c_45293,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45236,c_30349]) ).
tcf(c_45299,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xr,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45235,c_30030]) ).
tcf(c_45305,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xp,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45234,c_28961]) ).
tcf(c_45311,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45197,c_134]) ).
tcf(c_45318,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45179,c_138]) ).
tcf(c_45325,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45221,c_66]) ).
tcf(c_45349,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45212,c_138]) ).
tcf(c_45391,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45229,c_5707]) ).
tcf(c_45398,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45228,c_5662]) ).
tcf(c_45405,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45227,c_5447]) ).
tcf(c_45412,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45224,c_5404]) ).
tcf(c_45419,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45207,c_138]) ).
tcf(c_45428,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(xr,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45220,c_66]) ).
tcf(c_45436,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45218,c_50]) ).
tcf(c_45444,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(sz10,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45211,c_138]) ).
tcf(c_45452,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45210,c_138]) ).
tcf(c_45478,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45226,c_49]) ).
tcf(c_45497,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45199,c_134]) ).
tcf(c_45506,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sK1(sz10,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sK1(sz10,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45209,c_138]) ).
tcf(c_45515,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xm,sz10) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45208,c_138]) ).
tcf(c_45524,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45233,c_5784]) ).
tcf(c_45532,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45195,c_134]) ).
tcf(c_45542,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45196,c_134]) ).
tcf(c_45632,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_45184]) ).
tcf(c_45637,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_45184]) ).
tcf(c_45639,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_45184]) ).
tcf(c_45640,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_135,c_45184]) ).
tcf(c_45647,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_45184]) ).
tcf(c_45648,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_45184]) ).
tcf(c_45649,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31263,c_45184]) ).
tcf(c_45653,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_45184]) ).
tcf(c_45654,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_45184]) ).
tcf(c_45656,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_45184]) ).
tcf(c_45657,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5982,c_45184]) ).
tcf(c_45661,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45657,c_66]) ).
tcf(c_45670,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45639,c_138,c_49]) ).
tcf(c_45677,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45649,c_134,c_49]) ).
tcf(c_45684,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45640,c_138,c_49]) ).
tcf(c_45691,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45632,c_49]) ).
tcf(c_45699,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45648,c_134,c_49]) ).
tcf(c_45707,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45647,c_134,c_49]) ).
tcf(c_45719,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,sdtpldt0(xn,xm))),sdtpldt0(xn,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6187,c_81]) ).
tcf(c_45720,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xm,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6187,c_76]) ).
tcf(c_45724,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6187,c_21679]) ).
tcf(c_45725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6187,c_13445]) ).
tcf(c_45726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xm,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK0(xm,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6187,c_13129]) ).
tcf(c_45729,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6187,c_8360]) ).
tcf(c_45730,plain,
( ( sK0(xm,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_6187,c_86]) ).
tcf(c_45731,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_6187,c_85]) ).
tcf(c_45734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xm,X0))
| ( sK0(xm,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sK0(xm,sdtpldt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_6187,c_79]) ).
tcf(c_45735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xn,xm))
| ( sK0(xm,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK0(xm,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6187,c_79]) ).
tcf(c_45736,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ( sdtpldt0(X0,sK0(xm,sdtpldt0(xn,xm))) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_6187,c_88]) ).
tcf(c_45737,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ~ doDivides0(X0,sK0(xm,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6187,c_77]) ).
tcf(c_45738,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sK0(xm,sdtpldt0(xn,xm))))
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6187,c_81]) ).
tcf(c_45739,plain,
! [X0: $i] :
( ( sK0(xm,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ( sdtpldt0(xm,X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_6187,c_87]) ).
tcf(c_45740,plain,
( ( xm = sz00 )
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45731,c_50]) ).
tcf(c_45744,plain,
( ( sK0(xm,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45730,c_50]) ).
tcf(c_45748,plain,
! [X0: $i] :
( ( sK0(xm,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ( sdtpldt0(xm,X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45739,c_50]) ).
tcf(c_45753,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ~ doDivides0(X0,sK0(xm,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45737,c_50]) ).
tcf(c_45759,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ( sdtpldt0(X0,sK0(xm,sdtpldt0(xn,xm))) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45736,c_50]) ).
tcf(c_45764,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xm,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45720,c_50]) ).
tcf(c_45771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sK0(xm,sdtpldt0(xn,xm))))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45738,c_50]) ).
tcf(c_45778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,sdtpldt0(xn,xm))),sdtpldt0(xn,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45719,c_50]) ).
tcf(c_45784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtpldt0(xn,xm))
| ( sK0(xm,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK0(xm,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45735,c_50]) ).
tcf(c_45790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xm,X0))
| ( sK0(xm,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sK0(xm,sdtpldt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45734,c_50]) ).
tcf(c_45796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xm,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45725,c_50]) ).
tcf(c_45805,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xm,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK0(xm,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK0(xm,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45726,c_50]) ).
tcf(c_45824,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43793,c_130]) ).
tcf(c_45825,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,xr),sz10)) = sdtpldt0(xp,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43793,c_133]) ).
tcf(c_45827,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43793,c_99]) ).
tcf(c_45829,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43793,c_114]) ).
tcf(c_45831,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45829,c_138,c_41038]) ).
tcf(c_45835,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_45827,c_138,c_41038]) ).
tcf(c_45836,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(xp,xr),sz10)) = sdtpldt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_45825,c_139,c_138,c_41038]) ).
tcf(c_45837,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45824,c_139,c_138,c_41038]) ).
tcf(c_46006,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43794,c_127]) ).
tcf(c_46007,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43794,c_44165]) ).
tcf(c_46008,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43794,c_41968]) ).
tcf(c_46009,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43794,c_38665]) ).
tcf(c_46010,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43794,c_35501]) ).
tcf(c_46012,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_43794,c_7926]) ).
tcf(c_46013,plain,
( ( sdtpldt0(xp,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),sz10) ),
inference(superposition,[status(thm)],[c_43794,c_128]) ).
tcf(c_46014,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43794,c_84]) ).
tcf(c_46015,plain,
( iLess0(sz10,sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43794,c_96]) ).
tcf(c_46016,plain,
( iLess0(sz10,sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46015,c_138,c_41038]) ).
tcf(c_46019,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_46014,c_138,c_41038]) ).
tcf(c_46020,plain,
( ( sdtpldt0(xp,xr) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(xp,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46013,c_138,c_41038]) ).
tcf(c_46023,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46007,c_138,c_41038]) ).
tcf(c_46026,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46006,c_138,c_41038]) ).
tcf(c_46030,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46010,c_138,c_41038]) ).
tcf(c_46034,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46009,c_138,c_41038]) ).
tcf(c_46040,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46008,c_138,c_41038]) ).
tcf(c_46049,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41134,c_104]) ).
tcf(c_46050,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41134,c_28161]) ).
tcf(c_46051,plain,
( sdtlseqdt0(xn,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41134,c_23072]) ).
tcf(c_46052,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41134,c_16382]) ).
tcf(c_46053,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_41134,c_16055]) ).
tcf(c_46056,plain,
( sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_41134,c_9145]) ).
tcf(c_46058,plain,
( doDivides0(sdtpldt0(xp,xr),sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41134,c_185]) ).
tcf(c_46060,plain,
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(xp,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41134,c_100]) ).
tcf(c_46061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xr),X0),sdtpldt0(xp,xr))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41134,c_102]) ).
tcf(c_46062,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_41134,c_107]) ).
tcf(c_46063,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_41134,c_104]) ).
tcf(c_46064,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtasdt0(sdtpldt0(xp,xr),X0) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_41134,c_106]) ).
tcf(c_46065,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtasdt0(sdtpldt0(xp,xr),X0))
| ( X0 = sz10 )
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41134,c_102]) ).
tcf(c_46066,plain,
doDivides0(sdtpldt0(xp,xr),sdtpldt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_46058,c_138,c_41038]) ).
tcf(c_46067,plain,
sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_46060,c_139,c_138,c_41038]) ).
tcf(c_46068,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46062,c_139,c_138,c_41038]) ).
tcf(c_46072,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(xp,xr),X0) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46064,c_41040,c_138,c_41038]) ).
tcf(c_46076,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtasdt0(sdtpldt0(xp,xr),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46065,c_41040,c_138,c_41038]) ).
tcf(c_46081,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtasdt0(X0,sz10))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46063,c_139,c_138,c_41038]) ).
tcf(c_46086,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xr),X0),sdtpldt0(xp,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46061,c_41040,c_138,c_41038]) ).
tcf(c_46091,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46049,c_139,c_138,c_41038]) ).
tcf(c_46096,plain,
( sdtlseqdt0(xn,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46051,c_139,c_138,c_41038]) ).
tcf(c_46101,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46050,c_139,c_138,c_41038]) ).
tcf(c_46106,plain,
( sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46056,c_139,c_138,c_41038]) ).
tcf(c_46111,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xp,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46053,c_41040,c_138,c_41038]) ).
tcf(c_46119,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46052,c_139,c_138,c_41038]) ).
tcf(c_46159,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xr),sdtpldt0(xp,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sdtpldt0(xp,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46066,c_130]) ).
tcf(c_46160,plain,
( ( sdtpldt0(xp,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(xp,xr),sdtsldt0(sdtpldt0(xp,xr),sdtpldt0(xp,xr))) = sdtpldt0(xp,xr) )
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46066,c_133]) ).
tcf(c_46162,plain,
( ( sdtasdt0(sdtpldt0(xp,xr),sK1(sdtpldt0(xp,xr),sdtpldt0(xp,xr))) = sdtpldt0(xp,xr) )
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46066,c_99]) ).
tcf(c_46165,plain,
( doDivides0(sdtpldt0(xp,xr),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ doDivides0(sdtpldt0(xp,xr),xp) ),
inference(superposition,[status(thm)],[c_46066,c_76]) ).
tcf(c_46166,plain,
sdtasdt0(sdtpldt0(xp,xr),sK1(sdtpldt0(xp,xr),sdtpldt0(xp,xr))) = sdtpldt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_46162,c_41038]) ).
tcf(c_46167,plain,
( doDivides0(sdtpldt0(xp,xr),xr)
| ~ doDivides0(sdtpldt0(xp,xr),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46165,c_66,c_51,c_41038]) ).
tcf(c_46170,plain,
sdtasdt0(sdtpldt0(xp,xr),sdtsldt0(sdtpldt0(xp,xr),sdtpldt0(xp,xr))) = sdtpldt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_46160,c_41040,c_41038]) ).
tcf(c_46171,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(xp,xr),sdtpldt0(xp,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(xp,xr)),sdtpldt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46159,c_41040,c_41038]) ).
tcf(c_46176,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46067,c_44165]) ).
tcf(c_46177,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46067,c_41968]) ).
tcf(c_46178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46067,c_38665]) ).
tcf(c_46179,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46067,c_35501]) ).
tcf(c_46181,plain,
( sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_46067,c_7926]) ).
tcf(c_46183,plain,
( ( sdtpldt0(sdtpldt0(xp,xr),sK0(sdtpldt0(xp,xr),sdtpldt0(xp,xr))) = sdtpldt0(xp,xr) )
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46067,c_84]) ).
tcf(c_46185,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46176,c_41038]) ).
tcf(c_46188,plain,
sdtpldt0(sdtpldt0(xp,xr),sK0(sdtpldt0(xp,xr),sdtpldt0(xp,xr))) = sdtpldt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_46183,c_41038]) ).
tcf(c_46189,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46179,c_41038]) ).
tcf(c_46193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46178,c_41038]) ).
tcf(c_46199,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46177,c_41038]) ).
tcf(c_46207,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xr)),sdtpldt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41137,c_81]) ).
tcf(c_46212,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41137,c_21679]) ).
tcf(c_46213,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_41137,c_13445]) ).
tcf(c_46214,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41137,c_13129]) ).
tcf(c_46220,plain,
( sdtlseqdt0(sz00,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41137,c_188]) ).
tcf(c_46222,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_41137,c_79]) ).
tcf(c_46223,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41137,c_79]) ).
tcf(c_46224,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtpldt0(X0,sdtpldt0(xp,xr)) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_41137,c_88]) ).
tcf(c_46226,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(X0,sdtpldt0(xp,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41137,c_81]) ).
tcf(c_46227,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_41137,c_87]) ).
tcf(c_46228,plain,
sdtlseqdt0(sz00,sdtpldt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_46220,c_134,c_41038]) ).
tcf(c_46229,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46227,c_134,c_41038]) ).
tcf(c_46233,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(xp,xr)) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46224,c_134,c_41038]) ).
tcf(c_46237,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(X0,sdtpldt0(xp,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46226,c_134,c_41038]) ).
tcf(c_46242,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xr)),sdtpldt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46207,c_134,c_41038]) ).
tcf(c_46247,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46212,c_134,c_41038]) ).
tcf(c_46252,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46223,c_134,c_41038]) ).
tcf(c_46257,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46222,c_134,c_41038]) ).
tcf(c_46262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(xp,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46213,c_134,c_41038]) ).
tcf(c_46270,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46214,c_134,c_41038]) ).
tcf(c_46287,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46228,c_127]) ).
tcf(c_46288,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46228,c_44165]) ).
tcf(c_46290,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46228,c_38665]) ).
tcf(c_46294,plain,
( ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),sz00) ),
inference(superposition,[status(thm)],[c_46228,c_128]) ).
tcf(c_46295,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46228,c_84]) ).
tcf(c_46296,plain,
( iLess0(sz00,sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46228,c_96]) ).
tcf(c_46297,plain,
iLess0(sz00,sdtpldt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_46296,c_41040,c_134,c_41038]) ).
tcf(c_46298,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_46295,c_134,c_41038]) ).
tcf(c_46299,plain,
~ sdtlseqdt0(sdtpldt0(xp,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_46294,c_41040,c_134,c_41038]) ).
tcf(c_46300,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46288,c_134,c_41038]) ).
tcf(c_46303,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46287,c_134,c_41038]) ).
tcf(c_46307,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xp,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46290,c_134,c_41038]) ).
tcf(c_46345,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_43904,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_43904]) ).
tcf(c_46354,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46345,c_127]) ).
tcf(c_46356,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46345,c_41968]) ).
tcf(c_46357,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46345,c_38665]) ).
tcf(c_46358,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46345,c_35501]) ).
tcf(c_46359,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46345,c_25716]) ).
tcf(c_46360,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_46345,c_7926]) ).
tcf(c_46361,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_46345,c_128]) ).
tcf(c_46363,plain,
! [X0: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46345,c_96]) ).
tcf(c_46367,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46345,c_45159]) ).
tcf(c_46368,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46345,c_11272]) ).
tcf(c_46369,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_46345,c_24316]) ).
tcf(c_46457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sdtpldt0(xn,xm))),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6682,c_104]) ).
tcf(c_46459,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6682,c_23072]) ).
tcf(c_46460,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6682,c_16382]) ).
tcf(c_46461,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sz10,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK1(sz10,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6682,c_16055]) ).
tcf(c_46464,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6682,c_9145]) ).
tcf(c_46465,plain,
( ( sz00 = sz10 )
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_6682,c_105]) ).
tcf(c_46468,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xm))
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6682,c_100]) ).
tcf(c_46469,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xm))
| ( sz00 = sz10 )
| ( sK1(sz10,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK1(sz10,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6682,c_102]) ).
tcf(c_46470,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,sK1(sz10,sdtpldt0(xn,xm))) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_6682,c_107]) ).
tcf(c_46471,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sK1(sz10,sdtpldt0(xn,xm))))
| ( X0 = sz10 )
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6682,c_104]) ).
tcf(c_46472,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sK1(sz10,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm)))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_6682,c_106]) ).
tcf(c_46473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sK1(sz10,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sK1(sz10,sdtpldt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_6682,c_102]) ).
tcf(c_46474,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,xm))
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46468,c_138]) ).
tcf(c_46478,plain,
( ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46465,c_139,c_138]) ).
tcf(c_46482,plain,
! [X0: $i] :
( ( sK1(sz10,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm)))
| ( sdtasdt0(sz10,X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46472,c_139,c_138]) ).
tcf(c_46487,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,sK1(sz10,sdtpldt0(xn,xm))) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46470,c_138]) ).
tcf(c_46493,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46459,c_138]) ).
tcf(c_46500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sz10,X0))
| ( sK1(sz10,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sK1(sz10,sdtpldt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46473,c_139,c_138]) ).
tcf(c_46506,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sK1(sz10,sdtpldt0(xn,xm))))
| ( X0 = sz10 )
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46471,c_138]) ).
tcf(c_46513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(xn,xm))
| ( sK1(sz10,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK1(sz10,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46469,c_139,c_138]) ).
tcf(c_46519,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46464,c_138]) ).
tcf(c_46526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sdtpldt0(xn,xm))),sdtpldt0(xn,xm))
| ( X0 = sz10 )
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46457,c_138]) ).
tcf(c_46533,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sz10,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK1(sz10,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46461,c_139,c_138]) ).
tcf(c_46542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sz10,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46460,c_138]) ).
tcf(c_46564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41138,c_81]) ).
tcf(c_46569,plain,
( sdtlseqdt0(xn,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41138,c_21679]) ).
tcf(c_46570,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41138,c_13445]) ).
tcf(c_46571,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_41138,c_13129]) ).
tcf(c_46574,plain,
( sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_41138,c_8360]) ).
tcf(c_46579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(sdtpldt0(xp,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41138,c_79]) ).
tcf(c_46580,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xr),X0),sdtpldt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41138,c_79]) ).
tcf(c_46581,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_41138,c_88]) ).
tcf(c_46583,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),X0) ),
inference(superposition,[status(thm)],[c_41138,c_81]) ).
tcf(c_46584,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ( sdtpldt0(sdtpldt0(xp,xr),X0) != sdtpldt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_41138,c_87]) ).
tcf(c_46585,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(xp,xr),X0) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46584,c_134,c_41038]) ).
tcf(c_46589,plain,
! [X0: $i] :
( ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46581,c_134,c_41038]) ).
tcf(c_46593,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xr),X0),sdtpldt0(xp,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46580,c_134,c_41038]) ).
tcf(c_46598,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(sdtpldt0(xp,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46579,c_134,c_41038]) ).
tcf(c_46603,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46583,c_134,c_41038]) ).
tcf(c_46608,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(xp,xr))
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46564,c_134,c_41038]) ).
tcf(c_46615,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xp,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46571,c_134,c_41038]) ).
tcf(c_46623,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46570,c_134,c_41038]) ).
tcf(c_46656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41337,c_104]) ).
tcf(c_46657,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41337,c_28161]) ).
tcf(c_46658,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41337,c_23072]) ).
tcf(c_46659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_41337,c_16382]) ).
tcf(c_46660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41337,c_16055]) ).
tcf(c_46663,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_41337,c_9145]) ).
tcf(c_46665,plain,
( doDivides0(sz10,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41337,c_185]) ).
tcf(c_46667,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41337,c_100]) ).
tcf(c_46668,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xp))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41337,c_102]) ).
tcf(c_46669,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtasdt0(X0,sdtpldt0(sz10,xp)) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_41337,c_107]) ).
tcf(c_46670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(X0,sdtpldt0(sz10,xp)))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41337,c_104]) ).
tcf(c_46671,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_41337,c_106]) ).
tcf(c_46672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_41337,c_102]) ).
tcf(c_46673,plain,
doDivides0(sz10,sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_46665,c_138,c_41228]) ).
tcf(c_46674,plain,
sdtlseqdt0(sz10,sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_46667,c_41230,c_138,c_41228]) ).
tcf(c_46675,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46671,c_139,c_138,c_41228]) ).
tcf(c_46679,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xp)) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46669,c_41230,c_138,c_41228]) ).
tcf(c_46683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(sz10,X0))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46672,c_139,c_138,c_41228]) ).
tcf(c_46688,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(X0,sdtpldt0(sz10,xp)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46670,c_41230,c_138,c_41228]) ).
tcf(c_46693,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46668,c_139,c_138,c_41228]) ).
tcf(c_46698,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46656,c_41230,c_138,c_41228]) ).
tcf(c_46703,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46658,c_41230,c_138,c_41228]) ).
tcf(c_46708,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46657,c_41230,c_138,c_41228]) ).
tcf(c_46713,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46663,c_41230,c_138,c_41228]) ).
tcf(c_46718,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46660,c_139,c_138,c_41228]) ).
tcf(c_46726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46659,c_41230,c_138,c_41228]) ).
tcf(c_46905,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xp),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46673,c_130]) ).
tcf(c_46906,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xp),sz10)) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46673,c_133]) ).
tcf(c_46908,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46673,c_99]) ).
tcf(c_46910,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46673,c_114]) ).
tcf(c_46912,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46910,c_138,c_41228]) ).
tcf(c_46916,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_46908,c_138,c_41228]) ).
tcf(c_46917,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xp),sz10)) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_46906,c_139,c_138,c_41228]) ).
tcf(c_46918,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xp),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46905,c_139,c_138,c_41228]) ).
tcf(c_46923,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46674,c_127]) ).
tcf(c_46924,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46674,c_44165]) ).
tcf(c_46925,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46674,c_41968]) ).
tcf(c_46926,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46674,c_38665]) ).
tcf(c_46927,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46674,c_35501]) ).
tcf(c_46929,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_46674,c_7926]) ).
tcf(c_46930,plain,
( ( sdtpldt0(sz10,xp) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),sz10) ),
inference(superposition,[status(thm)],[c_46674,c_128]) ).
tcf(c_46931,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46674,c_84]) ).
tcf(c_46932,plain,
( iLess0(sz10,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46674,c_96]) ).
tcf(c_46933,plain,
( iLess0(sz10,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46932,c_138,c_41228]) ).
tcf(c_46936,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_46931,c_138,c_41228]) ).
tcf(c_46937,plain,
( ( sdtpldt0(sz10,xp) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46930,c_138,c_41228]) ).
tcf(c_46940,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46924,c_138,c_41228]) ).
tcf(c_46943,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46923,c_138,c_41228]) ).
tcf(c_46947,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46927,c_138,c_41228]) ).
tcf(c_46951,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46926,c_138,c_41228]) ).
tcf(c_46957,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46925,c_138,c_41228]) ).
tcf(c_46966,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xp))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41338,c_104]) ).
tcf(c_46967,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41338,c_28161]) ).
tcf(c_46968,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41338,c_23072]) ).
tcf(c_46969,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41338,c_16382]) ).
tcf(c_46970,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_41338,c_16055]) ).
tcf(c_46973,plain,
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_41338,c_9145]) ).
tcf(c_46975,plain,
( doDivides0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41338,c_185]) ).
tcf(c_46977,plain,
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41338,c_100]) ).
tcf(c_46978,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sz10,xp))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41338,c_102]) ).
tcf(c_46979,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_41338,c_107]) ).
tcf(c_46980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_41338,c_104]) ).
tcf(c_46981,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtasdt0(sdtpldt0(sz10,xp),X0) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_41338,c_106]) ).
tcf(c_46982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41338,c_102]) ).
tcf(c_46983,plain,
doDivides0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_46975,c_138,c_41228]) ).
tcf(c_46984,plain,
sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_46977,c_139,c_138,c_41228]) ).
tcf(c_46985,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46979,c_139,c_138,c_41228]) ).
tcf(c_46989,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xp),X0) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46981,c_41230,c_138,c_41228]) ).
tcf(c_46993,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46982,c_41230,c_138,c_41228]) ).
tcf(c_46998,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtasdt0(X0,sz10))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46980,c_139,c_138,c_41228]) ).
tcf(c_47003,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sz10,xp))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46978,c_41230,c_138,c_41228]) ).
tcf(c_47008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46966,c_139,c_138,c_41228]) ).
tcf(c_47013,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46968,c_139,c_138,c_41228]) ).
tcf(c_47018,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46967,c_139,c_138,c_41228]) ).
tcf(c_47023,plain,
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46973,c_139,c_138,c_41228]) ).
tcf(c_47028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46970,c_41230,c_138,c_41228]) ).
tcf(c_47036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46969,c_139,c_138,c_41228]) ).
tcf(c_47076,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46983,c_130]) ).
tcf(c_47077,plain,
( ( sdtpldt0(sz10,xp) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xp),sdtsldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46983,c_133]) ).
tcf(c_47079,plain,
( ( sdtasdt0(sdtpldt0(sz10,xp),sK1(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46983,c_99]) ).
tcf(c_47082,plain,
( doDivides0(sdtpldt0(sz10,xp),xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ doDivides0(sdtpldt0(sz10,xp),sz10) ),
inference(superposition,[status(thm)],[c_46983,c_76]) ).
tcf(c_47083,plain,
sdtasdt0(sdtpldt0(sz10,xp),sK1(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_47079,c_41228]) ).
tcf(c_47084,plain,
( doDivides0(sdtpldt0(sz10,xp),xp)
| ~ doDivides0(sdtpldt0(sz10,xp),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47082,c_138,c_51,c_41228]) ).
tcf(c_47087,plain,
sdtasdt0(sdtpldt0(sz10,xp),sdtsldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_47077,c_41230,c_41228]) ).
tcf(c_47088,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47076,c_41230,c_41228]) ).
tcf(c_47093,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46984,c_44165]) ).
tcf(c_47094,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46984,c_41968]) ).
tcf(c_47095,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46984,c_38665]) ).
tcf(c_47096,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46984,c_35501]) ).
tcf(c_47098,plain,
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_46984,c_7926]) ).
tcf(c_47100,plain,
( ( sdtpldt0(sdtpldt0(sz10,xp),sK0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46984,c_84]) ).
tcf(c_47102,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47093,c_41228]) ).
tcf(c_47105,plain,
sdtpldt0(sdtpldt0(sz10,xp),sK0(sdtpldt0(sz10,xp),sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_47100,c_41228]) ).
tcf(c_47106,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47096,c_41228]) ).
tcf(c_47110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47095,c_41228]) ).
tcf(c_47116,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47094,c_41228]) ).
tcf(c_47126,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_43894,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_43894]) ).
tcf(c_47138,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47126,c_127]) ).
tcf(c_47140,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47126,c_41968]) ).
tcf(c_47145,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_47126,c_128]) ).
tcf(c_47147,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| iLess0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47126,c_96]) ).
tcf(c_47148,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47126,c_41532]) ).
tcf(c_47149,plain,
( sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47126,c_34545]) ).
tcf(c_47151,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47126,c_11265]) ).
tcf(c_47201,plain,
( sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(global_subsumption_just,[status(thm)],[c_43921,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_43921]) ).
tcf(c_47213,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47201,c_127]) ).
tcf(c_47215,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47201,c_41968]) ).
tcf(c_47216,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47201,c_38665]) ).
tcf(c_47218,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47201,c_25716]) ).
tcf(c_47219,plain,
( sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47201,c_7926]) ).
tcf(c_47220,plain,
( sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47201,c_128]) ).
tcf(c_47222,plain,
( sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| iLess0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47201,c_96]) ).
tcf(c_47223,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47201,c_45159]) ).
tcf(c_47331,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xn)),xn)
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xn)) ),
inference(superposition,[status(thm)],[c_6698,c_81]) ).
tcf(c_47332,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xr,xn))
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xr,xn)) ),
inference(superposition,[status(thm)],[c_6698,c_76]) ).
tcf(c_47337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xn)),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6698,c_13445]) ).
tcf(c_47338,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sK0(xr,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(xr,xn)) ),
inference(superposition,[status(thm)],[c_6698,c_13129]) ).
tcf(c_47341,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_6698,c_8360]) ).
tcf(c_47346,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xr,X0))
| ( xn = sz00 )
| ( sK0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ sdtlseqdt0(sK0(xr,xn),X0) ),
inference(superposition,[status(thm)],[c_6698,c_79]) ).
tcf(c_47347,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xn)
| ( xn = sz00 )
| ( sK0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ sdtlseqdt0(X0,sK0(xr,xn)) ),
inference(superposition,[status(thm)],[c_6698,c_79]) ).
tcf(c_47348,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ( sdtpldt0(X0,sK0(xr,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_6698,c_88]) ).
tcf(c_47349,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ doDivides0(X0,sK0(xr,xn)) ),
inference(superposition,[status(thm)],[c_6698,c_77]) ).
tcf(c_47350,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xr,xn)))
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,xn)) ),
inference(superposition,[status(thm)],[c_6698,c_81]) ).
tcf(c_47351,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK0(xr,xn) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ( sdtpldt0(xr,X0) != xn ) ),
inference(superposition,[status(thm)],[c_6698,c_87]) ).
tcf(c_47352,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sK0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ( sdtpldt0(xr,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47351,c_66]) ).
tcf(c_47358,plain,
! [X0: $i] :
( doDivides0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ doDivides0(X0,sK0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47349,c_66]) ).
tcf(c_47365,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ( sdtpldt0(X0,sK0(xr,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47348,c_66]) ).
tcf(c_47371,plain,
! [X0: $i] :
( doDivides0(X0,sK0(xr,xn))
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,xn)
| ~ aNaturalNumber0(sK0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47332,c_66]) ).
tcf(c_47378,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xr,xn)))
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sK0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47350,c_66]) ).
tcf(c_47385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xn)),xn)
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47331,c_66]) ).
tcf(c_47392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),xn)
| ( xn = sz00 )
| ( sK0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ sdtlseqdt0(X0,sK0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47347,c_66]) ).
tcf(c_47399,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtpldt0(xr,X0))
| ( xn = sz00 )
| ( sK0(xr,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ sdtlseqdt0(sK0(xr,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47346,c_66]) ).
tcf(c_47406,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47341,c_66,c_5002]) ).
tcf(c_47412,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xr,xn)),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47337,c_66,c_5002]) ).
tcf(c_47421,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sK0(xr,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xr,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sK0(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47338,c_66,c_5002]) ).
tcf(c_47438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41341,c_81]) ).
tcf(c_47443,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41341,c_21679]) ).
tcf(c_47444,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xp)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_41341,c_13445]) ).
tcf(c_47445,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41341,c_13129]) ).
tcf(c_47451,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41341,c_188]) ).
tcf(c_47453,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_41341,c_79]) ).
tcf(c_47454,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41341,c_79]) ).
tcf(c_47455,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtpldt0(X0,sdtpldt0(sz10,xp)) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_41341,c_88]) ).
tcf(c_47457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(X0,sdtpldt0(sz10,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41341,c_81]) ).
tcf(c_47458,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_41341,c_87]) ).
tcf(c_47459,plain,
sdtlseqdt0(sz00,sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_47451,c_134,c_41228]) ).
tcf(c_47460,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47458,c_134,c_41228]) ).
tcf(c_47464,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(sz10,xp)) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47455,c_134,c_41228]) ).
tcf(c_47468,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(X0,sdtpldt0(sz10,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47457,c_134,c_41228]) ).
tcf(c_47473,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xp)),sdtpldt0(sz10,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47438,c_134,c_41228]) ).
tcf(c_47478,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47443,c_134,c_41228]) ).
tcf(c_47483,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47454,c_134,c_41228]) ).
tcf(c_47488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47453,c_134,c_41228]) ).
tcf(c_47493,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xp)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47444,c_134,c_41228]) ).
tcf(c_47501,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47445,c_134,c_41228]) ).
tcf(c_47587,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_47459,c_127]) ).
tcf(c_47588,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_47459,c_44165]) ).
tcf(c_47590,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_47459,c_38665]) ).
tcf(c_47594,plain,
( ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),sz00) ),
inference(superposition,[status(thm)],[c_47459,c_128]) ).
tcf(c_47595,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_47459,c_84]) ).
tcf(c_47596,plain,
( iLess0(sz00,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_47459,c_96]) ).
tcf(c_47597,plain,
iLess0(sz00,sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_47596,c_41230,c_134,c_41228]) ).
tcf(c_47598,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_47595,c_134,c_41228]) ).
tcf(c_47599,plain,
~ sdtlseqdt0(sdtpldt0(sz10,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_47594,c_41230,c_134,c_41228]) ).
tcf(c_47600,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47588,c_134,c_41228]) ).
tcf(c_47603,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47587,c_134,c_41228]) ).
tcf(c_47607,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47590,c_134,c_41228]) ).
tcf(c_47650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41342,c_81]) ).
tcf(c_47655,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41342,c_21679]) ).
tcf(c_47656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41342,c_13445]) ).
tcf(c_47657,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_41342,c_13129]) ).
tcf(c_47660,plain,
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_41342,c_8360]) ).
tcf(c_47665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41342,c_79]) ).
tcf(c_47666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sz10,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41342,c_79]) ).
tcf(c_47667,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_41342,c_88]) ).
tcf(c_47669,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(superposition,[status(thm)],[c_41342,c_81]) ).
tcf(c_47670,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ( sdtpldt0(sdtpldt0(sz10,xp),X0) != sdtpldt0(sz10,xp) ) ),
inference(superposition,[status(thm)],[c_41342,c_87]) ).
tcf(c_47671,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sz10,xp),X0) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47670,c_134,c_41228]) ).
tcf(c_47675,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47667,c_134,c_41228]) ).
tcf(c_47679,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtpldt0(sz10,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47666,c_134,c_41228]) ).
tcf(c_47684,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(sdtpldt0(sz10,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47665,c_134,c_41228]) ).
tcf(c_47689,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47669,c_134,c_41228]) ).
tcf(c_47694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47650,c_134,c_41228]) ).
tcf(c_47701,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47657,c_134,c_41228]) ).
tcf(c_47709,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47656,c_134,c_41228]) ).
tcf(c_47739,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44332,c_127]) ).
tcf(c_47747,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sz10)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44332,c_84]) ).
tcf(c_47748,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),sz10)
| ( sdtsldt0(xn,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44332,c_96]) ).
tcf(c_47749,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,X0))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44332,c_41532]) ).
tcf(c_47754,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),sz10)
| ( sdtsldt0(xn,xr) = sz10 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47748,c_138]) ).
tcf(c_47759,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sz10)) = sz10 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47747,c_138]) ).
tcf(c_47763,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47739,c_138]) ).
tcf(c_47769,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,X0))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47749,c_138]) ).
tcf(c_47780,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44335,c_127]) ).
tcf(c_47788,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44335,c_84]) ).
tcf(c_47789,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xr)
| ( sdtsldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44335,c_96]) ).
tcf(c_47790,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44335,c_41532]) ).
tcf(c_47793,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xr)
| ( sdtsldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47789,c_66]) ).
tcf(c_47798,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xr)) = xr )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47788,c_66]) ).
tcf(c_47802,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47780,c_66]) ).
tcf(c_47808,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47790,c_66]) ).
tcf(c_47905,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44338,c_127]) ).
tcf(c_47913,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44338,c_84]) ).
tcf(c_47914,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xp)
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44338,c_96]) ).
tcf(c_47915,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44338,c_41532]) ).
tcf(c_47918,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xp)
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47914,c_51]) ).
tcf(c_47923,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47913,c_51]) ).
tcf(c_47927,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47905,c_51]) ).
tcf(c_47933,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47915,c_51]) ).
tcf(c_47966,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_44185,c_127]) ).
tcf(c_47967,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_44165]) ).
tcf(c_47968,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_41968]) ).
tcf(c_47969,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_38665]) ).
tcf(c_47970,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_35501]) ).
tcf(c_47971,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_25716]) ).
tcf(c_47972,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_7926]) ).
tcf(c_47973,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_44185,c_128]) ).
tcf(c_47974,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_84]) ).
tcf(c_47975,plain,
! [X0: $i,X1: $i] :
( iLess0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_96]) ).
tcf(c_47982,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_45184]) ).
tcf(c_47984,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_8138]) ).
tcf(c_47985,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_13991]) ).
tcf(c_47991,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_35468]) ).
tcf(c_48005,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_44185,c_13445]) ).
tcf(c_48006,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_44185,c_13129]) ).
tcf(c_48008,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_44185,c_16382]) ).
tcf(c_48009,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_44185,c_16055]) ).
tcf(c_48011,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_44185,c_9241]) ).
tcf(c_48012,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_44185,c_8126]) ).
tcf(c_48013,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_44185,c_16777]) ).
tcf(c_48014,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_44185,c_8121]) ).
tcf(c_48015,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_20763]) ).
tcf(c_48016,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_8105]) ).
tcf(c_48017,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_44185,c_8338]) ).
tcf(c_48018,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_44185,c_9120]) ).
tcf(c_48019,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_44185,c_30817]) ).
tcf(c_48021,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_11272]) ).
tcf(c_48022,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_11265]) ).
tcf(c_48025,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_44185,c_23029]) ).
tcf(c_48026,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_36114]) ).
tcf(c_48027,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_32166]) ).
tcf(c_48028,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_29318]) ).
tcf(c_48029,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_29151]) ).
tcf(c_48030,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_24826]) ).
tcf(c_48031,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_24700]) ).
tcf(c_48032,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_24659]) ).
tcf(c_48033,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_24504]) ).
tcf(c_48034,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_24468]) ).
tcf(c_48035,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_24435]) ).
tcf(c_48036,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_24256]) ).
tcf(c_48037,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_44185,c_23651]) ).
tcf(c_48038,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_26250]) ).
tcf(c_48041,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_44185,c_32049]) ).
tcf(c_48042,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_44185,c_29015]) ).
tcf(c_48043,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_44185,c_29717]) ).
tcf(c_48044,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_44185,c_35263]) ).
tcf(c_48045,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_44185,c_30084]) ).
tcf(c_48046,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_44185,c_37128]) ).
tcf(c_48047,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_44185,c_30403]) ).
tcf(c_48051,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_41484]) ).
tcf(c_48052,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_44185,c_41508]) ).
tcf(c_48055,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_127]) ).
tcf(c_48057,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_41968]) ).
tcf(c_48058,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_38665]) ).
tcf(c_48059,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_35501]) ).
tcf(c_48060,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_25716]) ).
tcf(c_48061,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_44185,c_7926]) ).
tcf(c_48062,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_44185,c_128]) ).
tcf(c_48063,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_84]) ).
tcf(c_48064,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_96]) ).
tcf(c_48068,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_45159]) ).
tcf(c_48069,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_11272]) ).
tcf(c_48070,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_44185,c_24316]) ).
tcf(c_48072,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_127]) ).
tcf(c_48074,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_41968]) ).
tcf(c_48079,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_128]) ).
tcf(c_48080,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_84]) ).
tcf(c_48081,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_96]) ).
tcf(c_48082,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_45184]) ).
tcf(c_48084,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_8138]) ).
tcf(c_48085,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_13991]) ).
tcf(c_48087,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_41532]) ).
tcf(c_48088,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn) ),
inference(superposition,[status(thm)],[c_44185,c_34545]) ).
tcf(c_48098,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_11265]) ).
tcf(c_48205,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48052,c_49,c_41228]) ).
tcf(c_48210,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48051,c_49,c_41038]) ).
tcf(c_48215,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48046,c_49,c_30349]) ).
tcf(c_48220,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48044,c_49,c_30030]) ).
tcf(c_48233,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47982,c_49]) ).
tcf(c_48249,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47985,c_49]) ).
tcf(c_48279,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48047,c_49,c_30349]) ).
tcf(c_48285,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48045,c_49,c_30030]) ).
tcf(c_48291,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48042,c_49,c_28961]) ).
tcf(c_48297,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48041,c_49,c_28961]) ).
tcf(c_48303,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48016,c_49,c_5662]) ).
tcf(c_48309,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48015,c_49,c_5662]) ).
tcf(c_48315,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48014,c_49,c_5447]) ).
tcf(c_48321,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48013,c_49,c_5447]) ).
tcf(c_48327,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48012,c_49,c_5404]) ).
tcf(c_48351,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48017,c_49]) ).
tcf(c_48385,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47991,c_66,c_49]) ).
tcf(c_48392,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47984,c_49]) ).
tcf(c_48422,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48084,c_49]) ).
tcf(c_48431,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48018,c_49]) ).
tcf(c_48439,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48011,c_49,c_5404]) ).
tcf(c_48460,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48043,c_49,c_29666]) ).
tcf(c_48466,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48019,c_49,c_5784]) ).
tcf(c_48490,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48038,c_49]) ).
tcf(c_48498,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48033,c_49]) ).
tcf(c_48506,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48037,c_49]) ).
tcf(c_48514,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48006,c_49]) ).
tcf(c_48526,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48005,c_49]) ).
tcf(c_48538,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48009,c_49]) ).
tcf(c_48551,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48008,c_49]) ).
tcf(c_48564,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48030,c_49]) ).
tcf(c_48574,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48028,c_49]) ).
tcf(c_48593,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48036,c_49]) ).
tcf(c_48603,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48034,c_49]) ).
tcf(c_48612,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48035,c_49]) ).
tcf(c_48620,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48032,c_49]) ).
tcf(c_48630,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48031,c_49]) ).
tcf(c_48640,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48029,c_49]) ).
tcf(c_48650,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48027,c_49]) ).
tcf(c_48662,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48026,c_49]) ).
tcf(c_48831,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7134,c_104]) ).
tcf(c_48833,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7134,c_23072]) ).
tcf(c_48834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7134,c_16382]) ).
tcf(c_48835,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7134,c_16055]) ).
tcf(c_48838,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7134,c_9145]) ).
tcf(c_48843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7134,c_102]) ).
tcf(c_48844,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_7134,c_107]) ).
tcf(c_48845,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))))
| ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7134,c_104]) ).
tcf(c_48846,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_7134,c_106]) ).
tcf(c_48847,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sdtpldt0(xn,xm),X0))
| ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_7134,c_102]) ).
tcf(c_48848,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48846,c_5404]) ).
tcf(c_48854,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48833,c_5404]) ).
tcf(c_48861,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48844,c_5404]) ).
tcf(c_48867,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48838,c_5404]) ).
tcf(c_48874,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(sdtpldt0(xn,xm),X0))
| ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48847,c_5404]) ).
tcf(c_48881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))))
| ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48845,c_5404]) ).
tcf(c_48888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48843,c_5404]) ).
tcf(c_48895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48831,c_5404]) ).
tcf(c_48902,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48835,c_5404]) ).
tcf(c_48912,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48834,c_5404]) ).
tcf(c_48933,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44379,c_127]) ).
tcf(c_48940,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44379,c_128]) ).
tcf(c_48941,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44379,c_84]) ).
tcf(c_48942,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xp)
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44379,c_96]) ).
tcf(c_48943,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44379,c_41532]) ).
tcf(c_48946,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xp)
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48942,c_51]) ).
tcf(c_48951,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48941,c_51]) ).
tcf(c_48955,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48940,c_51]) ).
tcf(c_48960,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48933,c_51]) ).
tcf(c_48966,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48943,c_51]) ).
tcf(c_49001,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44382,c_127]) ).
tcf(c_49008,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44382,c_128]) ).
tcf(c_49009,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44382,c_84]) ).
tcf(c_49010,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xp)
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44382,c_96]) ).
tcf(c_49011,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44382,c_41532]) ).
tcf(c_49014,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xp)
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49010,c_51]) ).
tcf(c_49019,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49009,c_51]) ).
tcf(c_49023,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49008,c_51]) ).
tcf(c_49028,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49001,c_51]) ).
tcf(c_49034,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49011,c_51]) ).
tcf(c_49048,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(xr,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_5082]) ).
tcf(c_49049,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),xr) = sdtpldt0(xr,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_5082]) ).
tcf(c_49050,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xr) = sdtpldt0(xr,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_5082]) ).
tcf(c_49051,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),xr) = sdtpldt0(xr,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_5082]) ).
tcf(c_49052,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),xr) = sdtpldt0(xr,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_5082]) ).
tcf(c_49053,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),xr) = sdtpldt0(xr,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_5082]) ).
tcf(c_49054,plain,
sdtpldt0(sz00,xr) = sdtpldt0(xr,sz00),
inference(superposition,[status(thm)],[c_134,c_5082]) ).
tcf(c_49055,plain,
sdtpldt0(sz10,xr) = sdtpldt0(xr,sz10),
inference(superposition,[status(thm)],[c_138,c_5082]) ).
tcf(c_49056,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xr) = sdtpldt0(xr,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_5082]) ).
tcf(c_49057,plain,
sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(xr,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_5404,c_5082]) ).
tcf(c_49058,plain,
sdtpldt0(sdtpldt0(xn,xp),xr) = sdtpldt0(xr,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_5447,c_5082]) ).
tcf(c_49059,plain,
sdtpldt0(sdtpldt0(xn,xr),xr) = sdtpldt0(xr,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_5662,c_5082]) ).
tcf(c_49060,plain,
sdtpldt0(sdtpldt0(sz10,xn),xr) = sdtpldt0(xr,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5707,c_5082]) ).
tcf(c_49061,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(superposition,[status(thm)],[c_5784,c_5082]) ).
tcf(c_49062,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xn,xp))),
inference(superposition,[status(thm)],[c_14098,c_5082]) ).
tcf(c_49063,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_21011,c_5082]) ).
tcf(c_49064,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(sz10,xn))),
inference(superposition,[status(thm)],[c_23711,c_5082]) ).
tcf(c_49065,plain,
sdtpldt0(sdtpldt0(xp,xm),xr) = sdtpldt0(xr,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_28961,c_5082]) ).
tcf(c_49066,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),xr) = sdtpldt0(xr,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))),
inference(superposition,[status(thm)],[c_29666,c_5082]) ).
tcf(c_49067,plain,
sdtpldt0(sdtpldt0(xr,xm),xr) = sdtpldt0(xr,sdtpldt0(xr,xm)),
inference(superposition,[status(thm)],[c_30030,c_5082]) ).
tcf(c_49068,plain,
sdtpldt0(sdtpldt0(sz10,xm),xr) = sdtpldt0(xr,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_30349,c_5082]) ).
tcf(c_49069,plain,
sdtpldt0(sdtpldt0(xp,xr),xr) = sdtpldt0(xr,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_41038,c_5082]) ).
tcf(c_49070,plain,
sdtpldt0(sdtpldt0(sz10,xp),xr) = sdtpldt0(xr,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_41228,c_5082]) ).
tcf(c_49178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_49055,c_81]) ).
tcf(c_49179,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49055,c_76]) ).
tcf(c_49180,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_49055,c_41809]) ).
tcf(c_49181,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| iLess0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_49055,c_37282]) ).
tcf(c_49182,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_49055,c_27448]) ).
tcf(c_49183,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_49055,c_21679]) ).
tcf(c_49184,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_49055,c_13445]) ).
tcf(c_49185,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_49055,c_13129]) ).
tcf(c_49188,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_49055,c_8360]) ).
tcf(c_49190,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ( sdtpldt0(sz10,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_49055,c_85]) ).
tcf(c_49191,plain,
( sdtlseqdt0(xr,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_49055,c_188]) ).
tcf(c_49192,plain,
( aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_49055,c_95]) ).
tcf(c_49193,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(xr,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(superposition,[status(thm)],[c_49055,c_79]) ).
tcf(c_49194,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(sz10,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_49055,c_79]) ).
tcf(c_49195,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_49055,c_88]) ).
tcf(c_49196,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10) ),
inference(superposition,[status(thm)],[c_49055,c_77]) ).
tcf(c_49197,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(X0,sz10))
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_49055,c_81]) ).
tcf(c_49198,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_49055,c_87]) ).
tcf(c_49199,plain,
aNaturalNumber0(sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_49192,c_66,c_138]) ).
tcf(c_49200,plain,
sdtlseqdt0(xr,sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_49191,c_66,c_138]) ).
tcf(c_49201,plain,
sdtpldt0(sz10,xr) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_49190,c_27859,c_66,c_138]) ).
tcf(c_49202,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xr,X0) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49198,c_66,c_138]) ).
tcf(c_49206,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49196,c_66,c_138]) ).
tcf(c_49211,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49195,c_66,c_138]) ).
tcf(c_49215,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ doDivides0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49179,c_66,c_138]) ).
tcf(c_49220,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(X0,sz10))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49197,c_66,c_138]) ).
tcf(c_49225,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtpldt0(sz10,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49194,c_66,c_138]) ).
tcf(c_49230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(xr,X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49193,c_66,c_138]) ).
tcf(c_49235,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtpldt0(sz10,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49178,c_66,c_138]) ).
tcf(c_49240,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49183,c_66,c_138]) ).
tcf(c_49245,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49182,c_66,c_138]) ).
tcf(c_49250,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49188,c_66,c_138]) ).
tcf(c_49255,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| iLess0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49181,c_66,c_138]) ).
tcf(c_49260,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49180,c_66,c_138]) ).
tcf(c_49264,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49185,c_66,c_138]) ).
tcf(c_49272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz10),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49184,c_66,c_138]) ).
tcf(c_49313,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtpldt0(sz10,xr)),sdtasdt0(X0,sdtpldt0(sz10,xr))) = sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49199,c_90]) ).
tcf(c_49314,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz10,xr),X1),sdtasdt0(sdtpldt0(sz10,xr),X0)) = sdtasdt0(sdtpldt0(sz10,xr),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49199,c_89]) ).
tcf(c_49315,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz10,xr),X1),X0) = sdtasdt0(sdtpldt0(sz10,xr),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49199,c_110]) ).
tcf(c_49316,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz10,xr),X1),X0) = sdtpldt0(sdtpldt0(sz10,xr),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49199,c_93]) ).
tcf(c_49317,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),X0) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49199,c_195]) ).
tcf(c_49318,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz10,xr),X0) = sdtasdt0(X0,sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49199,c_111]) ).
tcf(c_49319,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz10,xr),X0) = sdtpldt0(X0,sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49199,c_94]) ).
tcf(c_49320,plain,
sdtpldt0(sdtpldt0(sz10,xr),xr) = sdtpldt0(xr,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_49199,c_5082]) ).
tcf(c_49321,plain,
sdtpldt0(sdtpldt0(sz10,xr),xp) = sdtpldt0(xp,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_49199,c_5081]) ).
tcf(c_49322,plain,
sdtpldt0(sdtpldt0(sz10,xr),xm) = sdtpldt0(xm,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_49199,c_5080]) ).
tcf(c_49323,plain,
sdtpldt0(sdtpldt0(sz10,xr),xn) = sdtpldt0(xn,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_49199,c_5079]) ).
tcf(c_49324,plain,
sdtasdt0(sz10,sdtpldt0(sz10,xr)) = sdtpldt0(sz10,xr),
inference(superposition,[status(thm)],[c_49199,c_137]) ).
tcf(c_49325,plain,
sdtasdt0(sdtpldt0(sz10,xr),sz10) = sdtpldt0(sz10,xr),
inference(superposition,[status(thm)],[c_49199,c_136]) ).
tcf(c_49326,plain,
sdtasdt0(sz00,sdtpldt0(sz10,xr)) = sz00,
inference(superposition,[status(thm)],[c_49199,c_109]) ).
tcf(c_49327,plain,
sdtasdt0(sdtpldt0(sz10,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_49199,c_108]) ).
tcf(c_49328,plain,
sdtpldt0(sz00,sdtpldt0(sz10,xr)) = sdtpldt0(sz10,xr),
inference(superposition,[status(thm)],[c_49199,c_92]) ).
tcf(c_49329,plain,
sdtpldt0(sdtpldt0(sz10,xr),sz00) = sdtpldt0(sz10,xr),
inference(superposition,[status(thm)],[c_49199,c_91]) ).
tcf(c_49414,plain,
sdtpldt0(sz00,xr) = xr,
inference(superposition,[status(thm)],[c_66,c_92]) ).
tcf(c_49431,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_108]) ).
tcf(c_49434,plain,
sdtasdt0(xr,sz00) = sz00,
inference(superposition,[status(thm)],[c_66,c_108]) ).
tcf(c_49562,plain,
( doDivides0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_49431,c_185]) ).
tcf(c_49565,plain,
( doDivides0(xr,sz00)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_49434,c_185]) ).
tcf(c_49570,plain,
doDivides0(xr,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_49565,c_66,c_134]) ).
tcf(c_49573,plain,
doDivides0(xn,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_49562,c_134,c_49]) ).
tcf(c_49590,plain,
( sdtlseqdt0(sz00,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_49414,c_188]) ).
tcf(c_49594,plain,
sdtlseqdt0(sz00,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_49590,c_66,c_134]) ).
tcf(c_49657,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_126,c_75]) ).
tcf(c_49660,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49657,c_49]) ).
tcf(c_49917,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_49660,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_5022,c_6066,c_33249]) ).
tcf(c_50006,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xr) = sdtasdt0(xr,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_66,c_111]) ).
tcf(c_51016,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_49917,c_84]) ).
tcf(c_51057,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51016,c_49]) ).
tcf(c_51175,plain,
( ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(xr,sz00) ),
inference(superposition,[status(thm)],[c_49594,c_128]) ).
tcf(c_51181,plain,
( ( sz00 = xr )
| ~ sdtlseqdt0(xr,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51175,c_66,c_134]) ).
tcf(c_51372,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(global_subsumption_just,[status(thm)],[c_51057,c_6719]) ).
tcf(c_51381,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_51372,c_95]) ).
tcf(c_51382,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51381,c_49]) ).
tcf(c_51396,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(global_subsumption_just,[status(thm)],[c_51382,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249]) ).
tcf(c_51409,plain,
sdtasdt0(sz10,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr),
inference(superposition,[status(thm)],[c_51396,c_137]) ).
tcf(c_51413,plain,
sdtpldt0(sz00,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr),
inference(superposition,[status(thm)],[c_51396,c_92]) ).
tcf(c_51680,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_49917,c_127]) ).
tcf(c_51740,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51680,c_49,c_51396]) ).
tcf(c_51896,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_51740,c_128]) ).
tcf(c_51918,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51896,c_51396]) ).
tcf(c_52011,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_51918,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_8200,c_33249]) ).
tcf(c_52012,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(renaming,[status(thm)],[c_52011]) ).
tcf(c_52545,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_51409,c_100]) ).
tcf(c_52547,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52545,c_138,c_51396]) ).
tcf(c_52587,plain,
( sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_51413,c_188]) ).
tcf(c_52589,plain,
sdtlseqdt0(sz00,sdtsldt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_52587,c_134,c_51396]) ).
tcf(c_52932,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(xn,xr)) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_74,c_133]) ).
tcf(c_52939,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sz00,xr)) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_49570,c_133]) ).
tcf(c_52941,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_49573,c_133]) ).
tcf(c_52957,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,sdtsldt0(sz00,xn)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52941,c_134,c_49]) ).
tcf(c_52961,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sz00,xr)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52939,c_66,c_134]) ).
tcf(c_52967,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(xn,xr)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52932,c_66,c_49]) ).
tcf(c_53061,plain,
~ sdtlseqdt0(xr,sz00),
inference(global_subsumption_just,[status(thm)],[c_51181,c_134,c_66,c_1657,c_4994,c_6056]) ).
tcf(c_53159,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_52547,c_127]) ).
tcf(c_53181,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53159,c_138,c_51396]) ).
tcf(c_55924,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49200,c_127]) ).
tcf(c_55925,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49200,c_44165]) ).
tcf(c_55926,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49200,c_41968]) ).
tcf(c_55927,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49200,c_38665]) ).
tcf(c_55928,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49200,c_35501]) ).
tcf(c_55929,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49200,c_25716]) ).
tcf(c_55930,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_49200,c_7926]) ).
tcf(c_55931,plain,
( ( sdtpldt0(sz10,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xr) ),
inference(superposition,[status(thm)],[c_49200,c_128]) ).
tcf(c_55932,plain,
( ( sdtpldt0(xr,sK0(xr,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49200,c_84]) ).
tcf(c_55933,plain,
( iLess0(xr,sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49200,c_96]) ).
tcf(c_55934,plain,
( iLess0(xr,sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55933,c_66,c_49199]) ).
tcf(c_55937,plain,
sdtpldt0(xr,sK0(xr,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_55932,c_66,c_49199]) ).
tcf(c_55938,plain,
( ( sdtpldt0(sz10,xr) = xr )
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55931,c_66,c_49199]) ).
tcf(c_55941,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55925,c_66,c_49199]) ).
tcf(c_55944,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55924,c_66,c_49199]) ).
tcf(c_55948,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55928,c_66,c_49199]) ).
tcf(c_55952,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55927,c_66,c_49199]) ).
tcf(c_55958,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55926,c_66,c_49199]) ).
tcf(c_55964,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55929,c_66,c_49199]) ).
tcf(c_56008,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49326,c_104]) ).
tcf(c_56011,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49326,c_16382]) ).
tcf(c_56021,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtasdt0(X0,sdtpldt0(sz10,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_49326,c_107]) ).
tcf(c_56022,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xr)))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49326,c_104]) ).
tcf(c_56025,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56021,c_49201,c_134,c_49199]) ).
tcf(c_56029,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtpldt0(sz10,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56022,c_49201,c_134,c_49199]) ).
tcf(c_56034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56008,c_49201,c_134,c_49199]) ).
tcf(c_56039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56011,c_49201,c_134,c_4997,c_49199]) ).
tcf(c_56050,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_48070,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_10138,c_24256,c_33249]) ).
tcf(c_56051,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_56050]) ).
tcf(c_56069,plain,
! [X0: $i] :
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_56051]) ).
tcf(c_56070,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_56051]) ).
tcf(c_56071,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_56051]) ).
tcf(c_56073,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_56051]) ).
tcf(c_56074,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_56051]) ).
tcf(c_56075,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_56051]) ).
tcf(c_56084,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56074,c_49]) ).
tcf(c_56094,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56073,c_49]) ).
tcf(c_56104,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56071,c_49]) ).
tcf(c_56115,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56070,c_49]) ).
tcf(c_56131,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtsldt0(xn,xr) = xn )
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,X0) ),
inference(global_subsumption_just,[status(thm)],[c_45670,c_138,c_14180,c_21472,c_53181]) ).
tcf(c_56132,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(renaming,[status(thm)],[c_56131]) ).
tcf(c_56141,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56132,c_127]) ).
tcf(c_56143,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56132,c_41968]) ).
tcf(c_56144,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56132,c_38665]) ).
tcf(c_56145,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56132,c_35501]) ).
tcf(c_56148,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_56132,c_128]) ).
tcf(c_56149,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56132,c_84]) ).
tcf(c_56150,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56132,c_96]) ).
tcf(c_56154,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56132,c_45159]) ).
tcf(c_56155,plain,
( sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56132,c_11272]) ).
tcf(c_56156,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_56132,c_24316]) ).
tcf(c_56235,plain,
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_56156]) ).
tcf(c_56236,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_56156]) ).
tcf(c_56237,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_8313,c_56156]) ).
tcf(c_56239,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_56156]) ).
tcf(c_56240,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_56156]) ).
tcf(c_56241,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_56156]) ).
tcf(c_56249,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56240,c_49]) ).
tcf(c_56258,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56239,c_49]) ).
tcf(c_56267,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56237,c_49]) ).
tcf(c_56277,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56236,c_49]) ).
tcf(c_56335,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45661,c_45159]) ).
tcf(c_56345,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_43833,c_134,c_140,c_144,c_161,c_4997,c_5716,c_8201,c_10146,c_52547]) ).
tcf(c_56351,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56345,c_127]) ).
tcf(c_56353,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56345,c_41968]) ).
tcf(c_56354,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56345,c_38665]) ).
tcf(c_56358,plain,
( ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(superposition,[status(thm)],[c_56345,c_128]) ).
tcf(c_56359,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56345,c_84]) ).
tcf(c_56360,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56345,c_96]) ).
tcf(c_56361,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56345,c_45159]) ).
tcf(c_56363,plain,
( iLess0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56360,c_138]) ).
tcf(c_56368,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56359,c_138]) ).
tcf(c_56372,plain,
( ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56358,c_138]) ).
tcf(c_56377,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56351,c_138]) ).
tcf(c_56385,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7151,c_81]) ).
tcf(c_56386,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7151,c_76]) ).
tcf(c_56391,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7151,c_13445]) ).
tcf(c_56392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7151,c_13129]) ).
tcf(c_56395,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7151,c_8360]) ).
tcf(c_56396,plain,
( ( sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_7151,c_86]) ).
tcf(c_56400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),X0))
| ( sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_7151,c_79]) ).
tcf(c_56401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7151,c_79]) ).
tcf(c_56402,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ( sdtpldt0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_7151,c_88]) ).
tcf(c_56404,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7151,c_81]) ).
tcf(c_56405,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_7151,c_87]) ).
tcf(c_56406,plain,
( ( sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56396,c_5404]) ).
tcf(c_56410,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56386,c_5404]) ).
tcf(c_56415,plain,
! [X0: $i] :
( ( sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56405,c_5404]) ).
tcf(c_56420,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ( sdtpldt0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56402,c_5404]) ).
tcf(c_56426,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56404,c_5404]) ).
tcf(c_56432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56385,c_5404]) ).
tcf(c_56438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm))
| ( sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56401,c_5404]) ).
tcf(c_56444,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),X0))
| ( sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56400,c_5404]) ).
tcf(c_56450,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56391,c_5404]) ).
tcf(c_56459,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56392,c_5404]) ).
tcf(c_56480,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49327,c_16055]) ).
tcf(c_56485,plain,
( doDivides0(sdtpldt0(sz10,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49327,c_185]) ).
tcf(c_56488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49327,c_102]) ).
tcf(c_56491,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtasdt0(sdtpldt0(sz10,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_49327,c_106]) ).
tcf(c_56492,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz00 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49327,c_102]) ).
tcf(c_56493,plain,
doDivides0(sdtpldt0(sz10,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_56485,c_134,c_49199]) ).
tcf(c_56494,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56491,c_49201,c_134,c_49199]) ).
tcf(c_56498,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56492,c_49201,c_134,c_49199]) ).
tcf(c_56503,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56488,c_49201,c_134,c_49199]) ).
tcf(c_56508,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56480,c_49201,c_134,c_4997,c_49199]) ).
tcf(c_56515,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56493,c_130]) ).
tcf(c_56516,plain,
( ( sdtpldt0(sz10,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xr),sdtsldt0(sz00,sdtpldt0(sz10,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56493,c_133]) ).
tcf(c_56518,plain,
( ( sdtasdt0(sdtpldt0(sz10,xr),sK1(sdtpldt0(sz10,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56493,c_99]) ).
tcf(c_56520,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ doDivides0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56493,c_114]) ).
tcf(c_56521,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56520,c_134,c_49199]) ).
tcf(c_56525,plain,
sdtasdt0(sdtpldt0(sz10,xr),sK1(sdtpldt0(sz10,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_56518,c_134,c_49199]) ).
tcf(c_56526,plain,
sdtasdt0(sdtpldt0(sz10,xr),sdtsldt0(sz00,sdtpldt0(sz10,xr))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_56516,c_49201,c_134,c_49199]) ).
tcf(c_56527,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtpldt0(sz10,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56515,c_49201,c_134,c_49199]) ).
tcf(c_56531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49324,c_104]) ).
tcf(c_56532,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49324,c_28161]) ).
tcf(c_56533,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49324,c_23072]) ).
tcf(c_56534,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_49324,c_16382]) ).
tcf(c_56535,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49324,c_16055]) ).
tcf(c_56540,plain,
( doDivides0(sz10,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49324,c_185]) ).
tcf(c_56542,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49324,c_100]) ).
tcf(c_56543,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49324,c_102]) ).
tcf(c_56544,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtasdt0(X0,sdtpldt0(sz10,xr)) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_49324,c_107]) ).
tcf(c_56545,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(X0,sdtpldt0(sz10,xr)))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49324,c_104]) ).
tcf(c_56546,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_49324,c_106]) ).
tcf(c_56547,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_49324,c_102]) ).
tcf(c_56548,plain,
doDivides0(sz10,sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_56540,c_138,c_49199]) ).
tcf(c_56549,plain,
sdtlseqdt0(sz10,sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_56542,c_49201,c_138,c_49199]) ).
tcf(c_56550,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56546,c_139,c_138,c_49199]) ).
tcf(c_56554,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtpldt0(sz10,xr)) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56544,c_49201,c_138,c_49199]) ).
tcf(c_56558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(sz10,X0))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56547,c_139,c_138,c_49199]) ).
tcf(c_56563,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(X0,sdtpldt0(sz10,xr)))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56545,c_49201,c_138,c_49199]) ).
tcf(c_56568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56543,c_139,c_138,c_49199]) ).
tcf(c_56573,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56531,c_49201,c_138,c_49199]) ).
tcf(c_56578,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56533,c_49201,c_138,c_49199]) ).
tcf(c_56583,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56532,c_49201,c_138,c_49199]) ).
tcf(c_56588,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56535,c_139,c_138,c_49199]) ).
tcf(c_56596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56534,c_49201,c_138,c_49199]) ).
tcf(c_56611,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56548,c_130]) ).
tcf(c_56612,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xr),sz10)) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56548,c_133]) ).
tcf(c_56614,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56548,c_99]) ).
tcf(c_56616,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56548,c_114]) ).
tcf(c_56618,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56616,c_138,c_49199]) ).
tcf(c_56622,plain,
sdtasdt0(sz10,sK1(sz10,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_56614,c_138,c_49199]) ).
tcf(c_56623,plain,
sdtasdt0(sz10,sdtsldt0(sdtpldt0(sz10,xr),sz10)) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_56612,c_139,c_138,c_49199]) ).
tcf(c_56624,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56611,c_139,c_138,c_49199]) ).
tcf(c_56629,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56549,c_127]) ).
tcf(c_56630,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56549,c_44165]) ).
tcf(c_56631,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56549,c_41968]) ).
tcf(c_56632,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56549,c_38665]) ).
tcf(c_56633,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56549,c_35501]) ).
tcf(c_56636,plain,
( ( sdtpldt0(sz10,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),sz10) ),
inference(superposition,[status(thm)],[c_56549,c_128]) ).
tcf(c_56637,plain,
( ( sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56549,c_84]) ).
tcf(c_56638,plain,
( iLess0(sz10,sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56549,c_96]) ).
tcf(c_56639,plain,
( iLess0(sz10,sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56638,c_138,c_49199]) ).
tcf(c_56642,plain,
sdtpldt0(sz10,sK0(sz10,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_56637,c_138,c_49199]) ).
tcf(c_56643,plain,
( ( sdtpldt0(sz10,xr) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56636,c_138,c_49199]) ).
tcf(c_56646,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56630,c_138,c_49199]) ).
tcf(c_56649,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56629,c_138,c_49199]) ).
tcf(c_56653,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56633,c_138,c_49199]) ).
tcf(c_56657,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56632,c_138,c_49199]) ).
tcf(c_56662,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56631,c_138,c_49199]) ).
tcf(c_56674,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44341,c_127]) ).
tcf(c_56682,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xm)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44341,c_84]) ).
tcf(c_56683,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xm)
| ( sdtsldt0(xn,xr) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44341,c_96]) ).
tcf(c_56685,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44341,c_41532]) ).
tcf(c_56686,plain,
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xr,xn) ),
inference(superposition,[status(thm)],[c_44341,c_34545]) ).
tcf(c_56688,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xm)
| ( sdtsldt0(xn,xr) = xm )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56683,c_50]) ).
tcf(c_56693,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xm)) = xm )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56682,c_50]) ).
tcf(c_56697,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56674,c_50]) ).
tcf(c_56703,plain,
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56686,c_50]) ).
tcf(c_56709,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xm,X0))
| ( sdtsldt0(xn,xr) = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56685,c_50]) ).
tcf(c_56757,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44344,c_127]) ).
tcf(c_56765,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44344,c_84]) ).
tcf(c_56766,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xn)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44344,c_96]) ).
tcf(c_56773,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xn)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56766,c_49]) ).
tcf(c_56778,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xn)) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56765,c_49]) ).
tcf(c_56782,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56757,c_49]) ).
tcf(c_56788,plain,
sdtlseqdt0(sz00,sdtsldt0(xn,xr)),
inference(global_subsumption_just,[status(thm)],[c_44347,c_52589]) ).
tcf(c_56790,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56788,c_127]) ).
tcf(c_56797,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz00) ),
inference(superposition,[status(thm)],[c_56788,c_128]) ).
tcf(c_56798,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56788,c_84]) ).
tcf(c_56799,plain,
( iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56788,c_96]) ).
tcf(c_56800,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56788,c_45159]) ).
tcf(c_56801,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56800,c_134]) ).
tcf(c_56805,plain,
( iLess0(sz00,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56799,c_134]) ).
tcf(c_56809,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56798,c_134]) ).
tcf(c_56812,plain,
( ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56797,c_134]) ).
tcf(c_56816,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56790,c_134]) ).
tcf(c_56823,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(global_subsumption_just,[status(thm)],[c_49250,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_49250]) ).
tcf(c_56833,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_8313,c_56823]) ).
tcf(c_56835,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_56823]) ).
tcf(c_56836,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_126,c_56823]) ).
tcf(c_56838,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56836,c_49,c_49199]) ).
tcf(c_56842,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56835,c_49,c_49199]) ).
tcf(c_56847,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56833,c_49,c_49199]) ).
tcf(c_56853,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_44188,c_95,c_44188]) ).
tcf(c_56892,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6032,c_56853]) ).
tcf(c_56893,plain,
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6026,c_56853]) ).
tcf(c_56933,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56853,c_127]) ).
tcf(c_56935,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56853,c_41968]) ).
tcf(c_56940,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtpldt0(X0,X1) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56853,c_128]) ).
tcf(c_56941,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56853,c_84]) ).
tcf(c_56942,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtpldt0(X0,X1) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56853,c_96]) ).
tcf(c_56943,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56853,c_41532]) ).
tcf(c_56944,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56853,c_34545]) ).
tcf(c_56946,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56892,c_134,c_5784]) ).
tcf(c_56949,plain,
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56893,c_49,c_5784]) ).
tcf(c_57043,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_45185,c_127]) ).
tcf(c_57045,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_41968]) ).
tcf(c_57046,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_38665]) ).
tcf(c_57047,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_35501]) ).
tcf(c_57050,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_45185,c_128]) ).
tcf(c_57051,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_84]) ).
tcf(c_57052,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_96]) ).
tcf(c_57053,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_6493]) ).
tcf(c_57054,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_45184]) ).
tcf(c_57066,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_11265]) ).
tcf(c_57070,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_45185,c_127]) ).
tcf(c_57071,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_44165]) ).
tcf(c_57072,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_41968]) ).
tcf(c_57073,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_38665]) ).
tcf(c_57074,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_35501]) ).
tcf(c_57077,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_45185,c_128]) ).
tcf(c_57078,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_84]) ).
tcf(c_57079,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_96]) ).
tcf(c_57086,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_45184]) ).
tcf(c_57089,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_7322]) ).
tcf(c_57119,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_11272]) ).
tcf(c_57120,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_11265]) ).
tcf(c_57123,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_45185,c_23029]) ).
tcf(c_57124,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_56156]) ).
tcf(c_57125,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_56051]) ).
tcf(c_57126,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_36114]) ).
tcf(c_57127,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_32166]) ).
tcf(c_57128,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_29318]) ).
tcf(c_57129,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_24826]) ).
tcf(c_57130,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_24700]) ).
tcf(c_57131,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_24504]) ).
tcf(c_57132,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_24468]) ).
tcf(c_57133,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_24435]) ).
tcf(c_57134,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_24256]) ).
tcf(c_57135,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_45185,c_23651]) ).
tcf(c_57136,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_26250]) ).
tcf(c_57146,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_45185,c_41484]) ).
tcf(c_57147,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_45185,c_41508]) ).
tcf(c_57150,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_45185,c_56823]) ).
tcf(c_57164,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_45159]) ).
tcf(c_57166,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_45185,c_24316]) ).
tcf(c_57173,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57089,c_50]) ).
tcf(c_57179,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57053,c_134]) ).
tcf(c_57220,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57150,c_49,c_49199]) ).
tcf(c_57225,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57147,c_49,c_41228]) ).
tcf(c_57230,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57146,c_49,c_41038]) ).
tcf(c_57250,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57052,c_49]) ).
tcf(c_57258,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57086,c_49]) ).
tcf(c_57266,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57054,c_49]) ).
tcf(c_57274,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57051,c_49]) ).
tcf(c_57281,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57050,c_49]) ).
tcf(c_57289,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57047,c_49]) ).
tcf(c_57305,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57043,c_49]) ).
tcf(c_57323,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57046,c_49]) ).
tcf(c_57332,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57045,c_49]) ).
tcf(c_57356,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57066,c_49]) ).
tcf(c_57368,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57129,c_49]) ).
tcf(c_57378,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57128,c_49]) ).
tcf(c_57403,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57127,c_49]) ).
tcf(c_57415,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57126,c_49]) ).
tcf(c_57449,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_56154,c_127]) ).
tcf(c_57450,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_44165]) ).
tcf(c_57451,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_41968]) ).
tcf(c_57452,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_38665]) ).
tcf(c_57453,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_35501]) ).
tcf(c_57454,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56154,c_25716]) ).
tcf(c_57455,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56154,c_7926]) ).
tcf(c_57456,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_56154,c_128]) ).
tcf(c_57457,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_84]) ).
tcf(c_57458,plain,
! [X0: $i,X1: $i] :
( iLess0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_96]) ).
tcf(c_57460,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_45184]) ).
tcf(c_57462,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_13991]) ).
tcf(c_57464,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56154,c_45159]) ).
tcf(c_57467,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_7308]) ).
tcf(c_57468,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_7304]) ).
tcf(c_57472,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sz10),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_11265]) ).
tcf(c_57476,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_56154,c_127]) ).
tcf(c_57477,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_44165]) ).
tcf(c_57478,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_41968]) ).
tcf(c_57479,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_38665]) ).
tcf(c_57480,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_35501]) ).
tcf(c_57481,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56154,c_25716]) ).
tcf(c_57482,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56154,c_7926]) ).
tcf(c_57483,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_56154,c_128]) ).
tcf(c_57484,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_84]) ).
tcf(c_57485,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_96]) ).
tcf(c_57492,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_45184]) ).
tcf(c_57495,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_7322]) ).
tcf(c_57497,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56154,c_34545]) ).
tcf(c_57513,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56154,c_13445]) ).
tcf(c_57514,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56154,c_13129]) ).
tcf(c_57515,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56154,c_8360]) ).
tcf(c_57516,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56154,c_16382]) ).
tcf(c_57517,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56154,c_16055]) ).
tcf(c_57518,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56154,c_9145]) ).
tcf(c_57522,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_56154,c_8338]) ).
tcf(c_57523,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_56154,c_9120]) ).
tcf(c_57524,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_56154,c_8404]) ).
tcf(c_57525,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_11272]) ).
tcf(c_57526,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_11265]) ).
tcf(c_57527,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_56154,c_14142]) ).
tcf(c_57528,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_21055]) ).
tcf(c_57529,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_56154,c_23029]) ).
tcf(c_57530,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_56156]) ).
tcf(c_57531,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_56051]) ).
tcf(c_57532,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_36114]) ).
tcf(c_57533,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_32166]) ).
tcf(c_57534,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_29318]) ).
tcf(c_57535,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_24826]) ).
tcf(c_57536,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_24700]) ).
tcf(c_57537,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_24504]) ).
tcf(c_57538,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_24468]) ).
tcf(c_57539,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_24435]) ).
tcf(c_57540,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_24256]) ).
tcf(c_57541,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_56154,c_23651]) ).
tcf(c_57542,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_26250]) ).
tcf(c_57544,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_56154,c_23760]) ).
tcf(c_57546,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_56154,c_29717]) ).
tcf(c_57557,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56154,c_127]) ).
tcf(c_57560,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56154,c_38665]) ).
tcf(c_57562,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56154,c_25716]) ).
tcf(c_57564,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_56154,c_128]) ).
tcf(c_57565,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56154,c_84]) ).
tcf(c_57566,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56154,c_96]) ).
tcf(c_57570,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_45159]) ).
tcf(c_57571,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_11272]) ).
tcf(c_57572,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_56154,c_24316]) ).
tcf(c_57579,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57495,c_50]) ).
tcf(c_57637,plain,
! [X0: $i,X1: $i] :
( iLess0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57458,c_138]) ).
tcf(c_57645,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57492,c_49]) ).
tcf(c_57653,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57457,c_138]) ).
tcf(c_57660,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57456,c_138]) ).
tcf(c_57668,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57453,c_138]) ).
tcf(c_57684,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57450,c_138]) ).
tcf(c_57692,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57449,c_138]) ).
tcf(c_57726,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57460,c_138,c_49]) ).
tcf(c_57758,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57462,c_138,c_49]) ).
tcf(c_57764,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57522,c_49]) ).
tcf(c_57771,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57452,c_138]) ).
tcf(c_57806,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57455,c_138]) ).
tcf(c_57815,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57451,c_138]) ).
tcf(c_57834,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57464,c_138]) ).
tcf(c_57843,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57544,c_49,c_23711]) ).
tcf(c_57849,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57528,c_49,c_21011]) ).
tcf(c_57855,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57527,c_49,c_14098]) ).
tcf(c_57861,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57524,c_49,c_5784]) ).
tcf(c_57867,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57523,c_49]) ).
tcf(c_57875,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57515,c_49]) ).
tcf(c_57899,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57518,c_49]) ).
tcf(c_57909,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57546,c_49,c_29666]) ).
tcf(c_57915,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_57472,c_5365]) ).
tcf(c_57916,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57915,c_138]) ).
tcf(c_57932,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57529,c_49]) ).
tcf(c_57941,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57542,c_49]) ).
tcf(c_57949,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57537,c_49]) ).
tcf(c_57957,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57541,c_49]) ).
tcf(c_57965,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57514,c_49]) ).
tcf(c_57977,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57513,c_49]) ).
tcf(c_57989,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57517,c_49]) ).
tcf(c_58002,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57516,c_49]) ).
tcf(c_58015,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57535,c_49]) ).
tcf(c_58025,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57534,c_49]) ).
tcf(c_58035,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57531,c_49]) ).
tcf(c_58054,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57540,c_49]) ).
tcf(c_58064,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57538,c_49]) ).
tcf(c_58073,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57530,c_49]) ).
tcf(c_58082,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57539,c_49]) ).
tcf(c_58090,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57536,c_49]) ).
tcf(c_58100,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57533,c_49]) ).
tcf(c_58112,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57532,c_49]) ).
tcf(c_58255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sz00)),sz00)
| ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(superposition,[status(thm)],[c_7202,c_104]) ).
tcf(c_58257,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(superposition,[status(thm)],[c_7202,c_23072]) ).
tcf(c_58258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sz00)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(superposition,[status(thm)],[c_7202,c_16382]) ).
tcf(c_58259,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xm),sz00)) ),
inference(superposition,[status(thm)],[c_7202,c_16055]) ).
tcf(c_58262,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(superposition,[status(thm)],[c_7202,c_9145]) ).
tcf(c_58263,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(superposition,[status(thm)],[c_7202,c_105]) ).
tcf(c_58266,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sz00)
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(superposition,[status(thm)],[c_7202,c_100]) ).
tcf(c_58267,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00)
| ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xm),sz00)) ),
inference(superposition,[status(thm)],[c_7202,c_102]) ).
tcf(c_58268,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7202,c_107]) ).
tcf(c_58269,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sz00)))
| ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(superposition,[status(thm)],[c_7202,c_104]) ).
tcf(c_58270,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7202,c_106]) ).
tcf(c_58271,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xm),X0))
| ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xn,xm),sz00),X0) ),
inference(superposition,[status(thm)],[c_7202,c_102]) ).
tcf(c_58272,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sz00)
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58266,c_5404]) ).
tcf(c_58276,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58263,c_5404]) ).
tcf(c_58280,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58270,c_5404]) ).
tcf(c_58286,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58268,c_5404]) ).
tcf(c_58299,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58262,c_4997,c_5404]) ).
tcf(c_58305,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xm),X0))
| ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xn,xm),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58271,c_5404]) ).
tcf(c_58312,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sz00)))
| ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xm),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58269,c_5404]) ).
tcf(c_58319,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00)
| ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58267,c_5404]) ).
tcf(c_58326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sz00)),sz00)
| ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58255,c_5404]) ).
tcf(c_58333,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ( sK1(sdtpldt0(xn,xm),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58259,c_4997,c_5404]) ).
tcf(c_58342,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xm),sz00)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58258,c_4997,c_5404]) ).
tcf(c_58396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xr))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49325,c_104]) ).
tcf(c_58397,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49325,c_28161]) ).
tcf(c_58398,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49325,c_23072]) ).
tcf(c_58399,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49325,c_16382]) ).
tcf(c_58400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_49325,c_16055]) ).
tcf(c_58403,plain,
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_49325,c_9145]) ).
tcf(c_58405,plain,
( doDivides0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49325,c_185]) ).
tcf(c_58407,plain,
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49325,c_100]) ).
tcf(c_58408,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sz10,xr))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49325,c_102]) ).
tcf(c_58409,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_49325,c_107]) ).
tcf(c_58410,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_49325,c_104]) ).
tcf(c_58411,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtasdt0(sdtpldt0(sz10,xr),X0) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_49325,c_106]) ).
tcf(c_58412,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz10 )
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49325,c_102]) ).
tcf(c_58413,plain,
doDivides0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_58405,c_138,c_49199]) ).
tcf(c_58414,plain,
sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_58407,c_139,c_138,c_49199]) ).
tcf(c_58415,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58409,c_139,c_138,c_49199]) ).
tcf(c_58419,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtpldt0(sz10,xr),X0) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58411,c_49201,c_138,c_49199]) ).
tcf(c_58423,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58412,c_49201,c_138,c_49199]) ).
tcf(c_58428,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtasdt0(X0,sz10))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58410,c_139,c_138,c_49199]) ).
tcf(c_58433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sz10,xr))
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58408,c_49201,c_138,c_49199]) ).
tcf(c_58438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58396,c_139,c_138,c_49199]) ).
tcf(c_58443,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58398,c_139,c_138,c_49199]) ).
tcf(c_58448,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58397,c_139,c_138,c_49199]) ).
tcf(c_58453,plain,
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58403,c_139,c_138,c_49199]) ).
tcf(c_58458,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58400,c_49201,c_138,c_49199]) ).
tcf(c_58466,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58399,c_139,c_138,c_49199]) ).
tcf(c_58527,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_58413,c_130]) ).
tcf(c_58528,plain,
( ( sdtpldt0(sz10,xr) = sz00 )
| ( sdtasdt0(sdtpldt0(sz10,xr),sdtsldt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_58413,c_133]) ).
tcf(c_58530,plain,
( ( sdtasdt0(sdtpldt0(sz10,xr),sK1(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_58413,c_99]) ).
tcf(c_58533,plain,
( doDivides0(sdtpldt0(sz10,xr),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ doDivides0(sdtpldt0(sz10,xr),sz10) ),
inference(superposition,[status(thm)],[c_58413,c_76]) ).
tcf(c_58534,plain,
sdtasdt0(sdtpldt0(sz10,xr),sK1(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_58530,c_49199]) ).
tcf(c_58535,plain,
( doDivides0(sdtpldt0(sz10,xr),xr)
| ~ doDivides0(sdtpldt0(sz10,xr),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58533,c_66,c_138,c_49199]) ).
tcf(c_58538,plain,
sdtasdt0(sdtpldt0(sz10,xr),sdtsldt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_58528,c_49201,c_49199]) ).
tcf(c_58539,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtsldt0(sdtasdt0(X0,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58527,c_49201,c_49199]) ).
tcf(c_58544,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_58414,c_44165]) ).
tcf(c_58545,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_58414,c_41968]) ).
tcf(c_58546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_58414,c_38665]) ).
tcf(c_58547,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_58414,c_35501]) ).
tcf(c_58549,plain,
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_58414,c_7926]) ).
tcf(c_58551,plain,
( ( sdtpldt0(sdtpldt0(sz10,xr),sK0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_58414,c_84]) ).
tcf(c_58553,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58544,c_49199]) ).
tcf(c_58556,plain,
sdtpldt0(sdtpldt0(sz10,xr),sK0(sdtpldt0(sz10,xr),sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_58551,c_49199]) ).
tcf(c_58557,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58547,c_49199]) ).
tcf(c_58561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(sz10,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58546,c_49199]) ).
tcf(c_58567,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58545,c_49199]) ).
tcf(c_58714,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49328,c_81]) ).
tcf(c_58721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_49328,c_13445]) ).
tcf(c_58722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49328,c_13129]) ).
tcf(c_58728,plain,
( sdtlseqdt0(sz00,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49328,c_188]) ).
tcf(c_58730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_49328,c_79]) ).
tcf(c_58731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49328,c_79]) ).
tcf(c_58732,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtpldt0(X0,sdtpldt0(sz10,xr)) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_49328,c_88]) ).
tcf(c_58734,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(X0,sdtpldt0(sz10,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49328,c_81]) ).
tcf(c_58735,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_49328,c_87]) ).
tcf(c_58736,plain,
sdtlseqdt0(sz00,sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_58728,c_134,c_49199]) ).
tcf(c_58737,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58735,c_134,c_49199]) ).
tcf(c_58741,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtpldt0(sz10,xr)) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58732,c_134,c_49199]) ).
tcf(c_58745,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(X0,sdtpldt0(sz10,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58734,c_134,c_49199]) ).
tcf(c_58750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xr)),sdtpldt0(sz10,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58714,c_134,c_49199]) ).
tcf(c_58755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58731,c_134,c_49199]) ).
tcf(c_58760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sz00,X0))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58730,c_134,c_49199]) ).
tcf(c_58765,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtpldt0(sz10,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58721,c_134,c_49199]) ).
tcf(c_58773,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58722,c_134,c_49199]) ).
tcf(c_58785,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_58736,c_127]) ).
tcf(c_58792,plain,
( ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),sz00) ),
inference(superposition,[status(thm)],[c_58736,c_128]) ).
tcf(c_58793,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_58736,c_84]) ).
tcf(c_58794,plain,
( iLess0(sz00,sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_58736,c_96]) ).
tcf(c_58795,plain,
iLess0(sz00,sdtpldt0(sz10,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_58794,c_49201,c_134,c_49199]) ).
tcf(c_58796,plain,
sdtpldt0(sz00,sK0(sz00,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_58793,c_134,c_49199]) ).
tcf(c_58797,plain,
~ sdtlseqdt0(sdtpldt0(sz10,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_58792,c_49201,c_134,c_49199]) ).
tcf(c_58798,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58785,c_134,c_49199]) ).
tcf(c_58813,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44350,c_127]) ).
tcf(c_58820,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xr,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44350,c_128]) ).
tcf(c_58821,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44350,c_84]) ).
tcf(c_58822,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xr)
| ( sdtsldt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44350,c_96]) ).
tcf(c_58823,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44350,c_41532]) ).
tcf(c_58826,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xr)
| ( sdtsldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58822,c_66]) ).
tcf(c_58831,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xr)) = xr )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58821,c_66]) ).
tcf(c_58835,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xr )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xr,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58820,c_66]) ).
tcf(c_58840,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58813,c_66]) ).
tcf(c_58846,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xr,X0))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58823,c_66]) ).
tcf(c_58878,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_57572,c_138,c_134,c_140,c_144,c_161,c_4997,c_5716,c_8201,c_10146,c_14180,c_24256,c_53181]) ).
tcf(c_58879,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_58878]) ).
tcf(c_58897,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_58879]) ).
tcf(c_58898,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_58879]) ).
tcf(c_58899,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_58879]) ).
tcf(c_58900,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_58879]) ).
tcf(c_58902,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_58879]) ).
tcf(c_58903,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_58879]) ).
tcf(c_58904,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_58879]) ).
tcf(c_58913,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58903,c_49]) ).
tcf(c_58922,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58899,c_49]) ).
tcf(c_58932,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58898,c_49]) ).
tcf(c_58942,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58897,c_49]) ).
tcf(c_58952,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58902,c_49]) ).
tcf(c_58962,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58900,c_49]) ).
tcf(c_58980,plain,
( sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(global_subsumption_just,[status(thm)],[c_46106,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_46106]) ).
tcf(c_58988,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_58980,c_127]) ).
tcf(c_58993,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_58980,c_25716]) ).
tcf(c_58994,plain,
( sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_58980,c_7926]) ).
tcf(c_58995,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_58980,c_128]) ).
tcf(c_58996,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xp,xr),sK0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_58980,c_84]) ).
tcf(c_58997,plain,
( iLess0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_58980,c_96]) ).
tcf(c_58998,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_58980,c_45159]) ).
tcf(c_58999,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58998,c_41038]) ).
tcf(c_59006,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58988,c_41038]) ).
tcf(c_59013,plain,
( iLess0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58997,c_41038]) ).
tcf(c_59019,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(xp,xr),sK0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58996,c_41038]) ).
tcf(c_59024,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xp,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58995,c_41038]) ).
tcf(c_59030,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58993,c_41038]) ).
tcf(c_59154,plain,
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(global_subsumption_just,[status(thm)],[c_47023,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_47023]) ).
tcf(c_59162,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_59154,c_127]) ).
tcf(c_59167,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_59154,c_25716]) ).
tcf(c_59168,plain,
( sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_59154,c_7926]) ).
tcf(c_59169,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_59154,c_128]) ).
tcf(c_59170,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(sz10,xp),sK0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_59154,c_84]) ).
tcf(c_59171,plain,
( iLess0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_59154,c_96]) ).
tcf(c_59172,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_59154,c_45159]) ).
tcf(c_59173,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59172,c_41228]) ).
tcf(c_59180,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59162,c_41228]) ).
tcf(c_59187,plain,
( iLess0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59171,c_41228]) ).
tcf(c_59193,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(sz10,xp),sK0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59170,c_41228]) ).
tcf(c_59198,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xp) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59169,c_41228]) ).
tcf(c_59204,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59167,c_41228]) ).
tcf(c_59211,plain,
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(global_subsumption_just,[status(thm)],[c_58453,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_58453]) ).
tcf(c_59219,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_59211,c_127]) ).
tcf(c_59224,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_59211,c_25716]) ).
tcf(c_59225,plain,
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_59211,c_7926]) ).
tcf(c_59226,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_59211,c_128]) ).
tcf(c_59227,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(sz10,xr),sK0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_59211,c_84]) ).
tcf(c_59228,plain,
( iLess0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_59211,c_96]) ).
tcf(c_59229,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_59211,c_45159]) ).
tcf(c_59230,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59229,c_49199]) ).
tcf(c_59237,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59219,c_49199]) ).
tcf(c_59244,plain,
( iLess0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59228,c_49199]) ).
tcf(c_59250,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtpldt0(sz10,xr),sK0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59227,c_49199]) ).
tcf(c_59255,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59226,c_49199]) ).
tcf(c_59261,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59224,c_49199]) ).
tcf(c_59272,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_47406,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_8099,c_33249]) ).
tcf(c_59305,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_55]) ).
tcf(c_59306,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_56]) ).
tcf(c_59308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_48068,c_127]) ).
tcf(c_59309,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_44165]) ).
tcf(c_59310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_41968]) ).
tcf(c_59311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sdtpldt0(X0,X3))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_38665]) ).
tcf(c_59312,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_35501]) ).
tcf(c_59313,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_25716]) ).
tcf(c_59314,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_7926]) ).
tcf(c_59315,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_48068,c_128]) ).
tcf(c_59316,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_84]) ).
tcf(c_59317,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| iLess0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_96]) ).
tcf(c_59318,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_6483]) ).
tcf(c_59319,plain,
! [X0: $i] :
( sdtlseqdt0(xk,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_6496]) ).
tcf(c_59320,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_6493]) ).
tcf(c_59321,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_6490]) ).
tcf(c_59322,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_19458]) ).
tcf(c_59323,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_19454]) ).
tcf(c_59324,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_45184]) ).
tcf(c_59325,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_7326]) ).
tcf(c_59326,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_13991]) ).
tcf(c_59327,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_7322]) ).
tcf(c_59332,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_35468]) ).
tcf(c_59333,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_7288]) ).
tcf(c_59334,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_7284]) ).
tcf(c_59335,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_19228]) ).
tcf(c_59336,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_19224]) ).
tcf(c_59337,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_7308]) ).
tcf(c_59338,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_7304]) ).
tcf(c_59339,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_7300]) ).
tcf(c_59340,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_7296]) ).
tcf(c_59341,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_7292]) ).
tcf(c_59342,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_48068,c_18902]) ).
tcf(c_59343,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_22117]) ).
tcf(c_59344,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_48068,c_22871]) ).
tcf(c_59345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_48068,c_13445]) ).
tcf(c_59346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_48068,c_13129]) ).
tcf(c_59347,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_48068,c_8360]) ).
tcf(c_59348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_48068,c_16382]) ).
tcf(c_59349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_48068,c_16055]) ).
tcf(c_59350,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_48068,c_9145]) ).
tcf(c_59351,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_8126]) ).
tcf(c_59352,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_48068,c_8121]) ).
tcf(c_59353,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_8105]) ).
tcf(c_59354,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_48068,c_8338]) ).
tcf(c_59355,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_48068,c_9120]) ).
tcf(c_59357,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_11272]) ).
tcf(c_59358,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_11265]) ).
tcf(c_59361,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_48068,c_23029]) ).
tcf(c_59362,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_58879]) ).
tcf(c_59363,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_56156]) ).
tcf(c_59364,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_56051]) ).
tcf(c_59365,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_36114]) ).
tcf(c_59366,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X1 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_32166]) ).
tcf(c_59367,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_29318]) ).
tcf(c_59368,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_24826]) ).
tcf(c_59369,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_24700]) ).
tcf(c_59370,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_24504]) ).
tcf(c_59371,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_24468]) ).
tcf(c_59372,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_24435]) ).
tcf(c_59373,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_24256]) ).
tcf(c_59374,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_48068,c_23651]) ).
tcf(c_59375,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_26250]) ).
tcf(c_59376,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_48068,c_24316]) ).
tcf(c_59378,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_29015]) ).
tcf(c_59380,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_30084]) ).
tcf(c_59381,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_30403]) ).
tcf(c_59382,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_34312]) ).
tcf(c_59383,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_36606]) ).
tcf(c_59384,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_37979]) ).
tcf(c_59385,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_41484]) ).
tcf(c_59386,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_48068,c_41508]) ).
tcf(c_59387,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_46299]) ).
tcf(c_59388,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_48068,c_47599]) ).
tcf(c_59389,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_56823]) ).
tcf(c_59390,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_58797]) ).
tcf(c_59391,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_55]) ).
tcf(c_59392,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_56]) ).
tcf(c_59394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_48068,c_127]) ).
tcf(c_59395,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_44165]) ).
tcf(c_59396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_41968]) ).
tcf(c_59397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sdtpldt0(X2,X3))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_38665]) ).
tcf(c_59398,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_35501]) ).
tcf(c_59399,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_25716]) ).
tcf(c_59400,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_7926]) ).
tcf(c_59401,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_48068,c_128]) ).
tcf(c_59402,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X0,sK0(X0,X2)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_84]) ).
tcf(c_59403,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| iLess0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_96]) ).
tcf(c_59405,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xk,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_6496]) ).
tcf(c_59410,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_45184]) ).
tcf(c_59411,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_7326]) ).
tcf(c_59412,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_13991]) ).
tcf(c_59413,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_7322]) ).
tcf(c_59414,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_41532]) ).
tcf(c_59415,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_34545]) ).
tcf(c_59418,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_35468]) ).
tcf(c_59419,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_7288]) ).
tcf(c_59420,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_7284]) ).
tcf(c_59421,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_19228]) ).
tcf(c_59422,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_19224]) ).
tcf(c_59431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_48068,c_13445]) ).
tcf(c_59432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_48068,c_13129]) ).
tcf(c_59433,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_48068,c_8360]) ).
tcf(c_59434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_48068,c_16382]) ).
tcf(c_59435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_48068,c_16055]) ).
tcf(c_59436,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_48068,c_9145]) ).
tcf(c_59437,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_8126]) ).
tcf(c_59438,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_48068,c_8121]) ).
tcf(c_59439,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_8105]) ).
tcf(c_59440,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_48068,c_8338]) ).
tcf(c_59441,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_48068,c_9120]) ).
tcf(c_59442,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_48068,c_8404]) ).
tcf(c_59443,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_11272]) ).
tcf(c_59444,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_11265]) ).
tcf(c_59445,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_48068,c_14142]) ).
tcf(c_59446,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_21055]) ).
tcf(c_59447,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_48068,c_23029]) ).
tcf(c_59448,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_58879]) ).
tcf(c_59449,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_56156]) ).
tcf(c_59450,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_56051]) ).
tcf(c_59451,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_36114]) ).
tcf(c_59452,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X1 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_32166]) ).
tcf(c_59453,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_29318]) ).
tcf(c_59454,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_24826]) ).
tcf(c_59455,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_24700]) ).
tcf(c_59456,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_24504]) ).
tcf(c_59457,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_24468]) ).
tcf(c_59458,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_24435]) ).
tcf(c_59459,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_24256]) ).
tcf(c_59460,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_48068,c_23651]) ).
tcf(c_59461,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_26250]) ).
tcf(c_59463,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_48068,c_23760]) ).
tcf(c_59464,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_29015]) ).
tcf(c_59465,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_48068,c_29717]) ).
tcf(c_59466,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_30084]) ).
tcf(c_59467,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_30403]) ).
tcf(c_59471,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_41484]) ).
tcf(c_59472,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_48068,c_41508]) ).
tcf(c_59475,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_56823]) ).
tcf(c_59477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_127]) ).
tcf(c_59480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X3))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_38665]) ).
tcf(c_59482,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_25716]) ).
tcf(c_59483,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_48068,c_7926]) ).
tcf(c_59484,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_48068,c_128]) ).
tcf(c_59485,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_84]) ).
tcf(c_59486,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| iLess0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_96]) ).
tcf(c_59490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_45159]) ).
tcf(c_59491,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_11272]) ).
tcf(c_59492,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_48068,c_24316]) ).
tcf(c_59494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_127]) ).
tcf(c_59496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_41968]) ).
tcf(c_59501,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_128]) ).
tcf(c_59502,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_84]) ).
tcf(c_59503,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_96]) ).
tcf(c_59504,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_45184]) ).
tcf(c_59505,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_7326]) ).
tcf(c_59506,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_13991]) ).
tcf(c_59507,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_7322]) ).
tcf(c_59508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X3))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_41532]) ).
tcf(c_59509,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn) ),
inference(superposition,[status(thm)],[c_48068,c_34545]) ).
tcf(c_59511,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_45159]) ).
tcf(c_59512,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_7288]) ).
tcf(c_59513,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_7284]) ).
tcf(c_59514,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_7308]) ).
tcf(c_59515,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_7304]) ).
tcf(c_59516,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_7300]) ).
tcf(c_59517,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_7296]) ).
tcf(c_59518,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_7292]) ).
tcf(c_59519,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_11265]) ).
tcf(c_59534,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xk,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59405,c_51]) ).
tcf(c_59546,plain,
! [X0: $i] :
( sdtlseqdt0(xk,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59319,c_51]) ).
tcf(c_59555,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59420,c_138]) ).
tcf(c_59562,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59419,c_138]) ).
tcf(c_59569,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59413,c_50]) ).
tcf(c_59576,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59411,c_49]) ).
tcf(c_59583,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59341,c_134]) ).
tcf(c_59590,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59340,c_134]) ).
tcf(c_59597,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59339,c_134]) ).
tcf(c_59604,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59338,c_134]) ).
tcf(c_59611,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59337,c_134]) ).
tcf(c_59618,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59334,c_138]) ).
tcf(c_59625,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59333,c_138]) ).
tcf(c_59632,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59327,c_50]) ).
tcf(c_59639,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59325,c_49]) ).
tcf(c_59646,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59390,c_134,c_49199]) ).
tcf(c_59651,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59388,c_134,c_41228]) ).
tcf(c_59656,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59387,c_134,c_41038]) ).
tcf(c_59661,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59384,c_134,c_30349]) ).
tcf(c_59666,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59383,c_134,c_30030]) ).
tcf(c_59671,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59382,c_134,c_28961]) ).
tcf(c_59676,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59344,c_134,c_5707]) ).
tcf(c_59681,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59343,c_134,c_5662]) ).
tcf(c_59686,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59342,c_134,c_5447]) ).
tcf(c_59691,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59321,c_134,c_50]) ).
tcf(c_59697,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59320,c_134,c_49]) ).
tcf(c_59719,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59518,c_134]) ).
tcf(c_59727,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59517,c_134]) ).
tcf(c_59735,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59516,c_134]) ).
tcf(c_59743,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59515,c_134]) ).
tcf(c_59751,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59514,c_134]) ).
tcf(c_59759,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59513,c_138]) ).
tcf(c_59767,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59512,c_138]) ).
tcf(c_59775,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59507,c_50]) ).
tcf(c_59783,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59505,c_49]) ).
tcf(c_59963,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59475,c_49,c_49199]) ).
tcf(c_59970,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59472,c_49,c_41228]) ).
tcf(c_59977,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59471,c_49,c_41038]) ).
tcf(c_59984,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59389,c_49,c_49199]) ).
tcf(c_59991,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59386,c_49,c_41228]) ).
tcf(c_59998,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59385,c_49,c_41038]) ).
tcf(c_60015,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59410,c_49]) ).
tcf(c_60025,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59324,c_49]) ).
tcf(c_60045,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59412,c_49]) ).
tcf(c_60053,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59326,c_49]) ).
tcf(c_60091,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59467,c_49,c_30349]) ).
tcf(c_60099,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59466,c_49,c_30030]) ).
tcf(c_60107,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59464,c_49,c_28961]) ).
tcf(c_60115,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59439,c_49,c_5662]) ).
tcf(c_60123,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59438,c_49,c_5447]) ).
tcf(c_60131,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59437,c_49,c_5404]) ).
tcf(c_60160,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59381,c_49,c_30349]) ).
tcf(c_60168,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59380,c_49,c_30030]) ).
tcf(c_60176,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59378,c_49,c_28961]) ).
tcf(c_60184,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59353,c_49,c_5662]) ).
tcf(c_60192,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59352,c_49,c_5447]) ).
tcf(c_60200,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59351,c_49,c_5404]) ).
tcf(c_60229,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59504,c_49]) ).
tcf(c_60240,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59440,c_49]) ).
tcf(c_60249,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59354,c_49]) ).
tcf(c_60312,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59418,c_66,c_49]) ).
tcf(c_60331,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59332,c_66,c_49]) ).
tcf(c_60353,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59463,c_49,c_23711]) ).
tcf(c_60361,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59446,c_49,c_21011]) ).
tcf(c_60369,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59445,c_49,c_14098]) ).
tcf(c_60377,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59442,c_49,c_5784]) ).
tcf(c_60385,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59441,c_49]) ).
tcf(c_60395,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59433,c_49]) ).
tcf(c_60406,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59355,c_49]) ).
tcf(c_60416,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59347,c_49]) ).
tcf(c_60463,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59436,c_49]) ).
tcf(c_60475,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59350,c_49]) ).
tcf(c_60487,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59465,c_49,c_29666]) ).
tcf(c_60515,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59447,c_49]) ).
tcf(c_60526,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59361,c_49]) ).
tcf(c_60538,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59456,c_49]) ).
tcf(c_60548,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59375,c_49]) ).
tcf(c_60558,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59370,c_49]) ).
tcf(c_60568,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59460,c_49]) ).
tcf(c_60578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59432,c_49]) ).
tcf(c_60592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59431,c_49]) ).
tcf(c_60606,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59374,c_49]) ).
tcf(c_60616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59346,c_49]) ).
tcf(c_60630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59345,c_49]) ).
tcf(c_60644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59435,c_49]) ).
tcf(c_60659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59434,c_49]) ).
tcf(c_60674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59349,c_49]) ).
tcf(c_60689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59348,c_49]) ).
tcf(c_60704,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59454,c_49]) ).
tcf(c_60716,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59453,c_49]) ).
tcf(c_60728,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59448,c_49]) ).
tcf(c_60740,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59368,c_49]) ).
tcf(c_60752,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59367,c_49]) ).
tcf(c_60764,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59362,c_49]) ).
tcf(c_60776,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59450,c_49]) ).
tcf(c_60788,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59364,c_49]) ).
tcf(c_60811,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59459,c_49]) ).
tcf(c_60823,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59373,c_49]) ).
tcf(c_60835,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59457,c_49]) ).
tcf(c_60846,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59449,c_49]) ).
tcf(c_60857,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59371,c_49]) ).
tcf(c_60868,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59363,c_49]) ).
tcf(c_60879,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59458,c_49]) ).
tcf(c_60889,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59372,c_49]) ).
tcf(c_60899,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59455,c_49]) ).
tcf(c_60911,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59369,c_49]) ).
tcf(c_60934,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X1 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59452,c_49]) ).
tcf(c_60948,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X1 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59366,c_49]) ).
tcf(c_60962,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59451,c_49]) ).
tcf(c_60975,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59365,c_49]) ).
tcf(c_61020,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ( xn = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_61040,plain,
! [X0: $i] :
( aNaturalNumber0(sdtsldt0(X0,xn))
| ( xn = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xn,X0) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_61054,plain,
( aNaturalNumber0(sdtsldt0(sz00,xn))
| ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ doDivides0(xn,sz00) ),
inference(instantiation,[status(thm)],[c_61040]) ).
tcf(c_61268,plain,
( ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_52957,c_105]) ).
tcf(c_61277,plain,
( ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61268,c_49]) ).
tcf(c_61814,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xp),sz00)),sz00)
| ( sdtpldt0(xn,xp) = X0 )
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00)) ),
inference(superposition,[status(thm)],[c_7217,c_104]) ).
tcf(c_61816,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00)) ),
inference(superposition,[status(thm)],[c_7217,c_23072]) ).
tcf(c_61817,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xp),sz00)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = X0 )
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00)) ),
inference(superposition,[status(thm)],[c_7217,c_16382]) ).
tcf(c_61818,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = sz00 )
| ( sK1(sdtpldt0(xn,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xp),sz00)) ),
inference(superposition,[status(thm)],[c_7217,c_16055]) ).
tcf(c_61821,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00)) ),
inference(superposition,[status(thm)],[c_7217,c_9145]) ).
tcf(c_61822,plain,
( ( sdtpldt0(xn,xp) = sz00 )
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00)) ),
inference(superposition,[status(thm)],[c_7217,c_105]) ).
tcf(c_61825,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sz00)
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00)) ),
inference(superposition,[status(thm)],[c_7217,c_100]) ).
tcf(c_61826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sz00)
| ( sdtpldt0(xn,xp) = sz00 )
| ( sK1(sdtpldt0(xn,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xp),sz00)) ),
inference(superposition,[status(thm)],[c_7217,c_102]) ).
tcf(c_61827,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xn,xp),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7217,c_107]) ).
tcf(c_61828,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xn,xp),sz00)))
| ( sdtpldt0(xn,xp) = X0 )
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00)) ),
inference(superposition,[status(thm)],[c_7217,c_104]) ).
tcf(c_61829,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = sz00 )
| ( sK1(sdtpldt0(xn,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00))
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7217,c_106]) ).
tcf(c_61830,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xp),X0))
| ( sdtpldt0(xn,xp) = sz00 )
| ( sK1(sdtpldt0(xn,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xn,xp),sz00),X0) ),
inference(superposition,[status(thm)],[c_7217,c_102]) ).
tcf(c_61831,plain,
( ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61825,c_18902,c_5447]) ).
tcf(c_61835,plain,
! [X0: $i] :
( ( sK1(sdtpldt0(xn,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00))
| ( sdtasdt0(sdtpldt0(xn,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61829,c_9578,c_5447]) ).
tcf(c_61840,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xp) = X0 )
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xn,xp),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61827,c_5447]) ).
tcf(c_61853,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61821,c_4997,c_5447]) ).
tcf(c_61859,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xp),X0))
| ( sK1(sdtpldt0(xn,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xn,xp),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61830,c_9578,c_5447]) ).
tcf(c_61865,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xn,xp),sz00)))
| ( sdtpldt0(xn,xp) = X0 )
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xp),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61828,c_5447]) ).
tcf(c_61872,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sz00)
| ( sK1(sdtpldt0(xn,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61826,c_9578,c_5447]) ).
tcf(c_61878,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xp),sz00)),sz00)
| ( sdtpldt0(xn,xp) = X0 )
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61814,c_5447]) ).
tcf(c_61885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xp),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61818,c_9578,c_4997,c_5447]) ).
tcf(c_61893,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xp),sz00)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xp) = X0 )
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61817,c_4997,c_5447]) ).
tcf(c_62019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49329,c_81]) ).
tcf(c_62025,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49329,c_21679]) ).
tcf(c_62026,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49329,c_13445]) ).
tcf(c_62027,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_49329,c_13129]) ).
tcf(c_62030,plain,
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_49329,c_8360]) ).
tcf(c_62035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49329,c_79]) ).
tcf(c_62036,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sz10,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49329,c_79]) ).
tcf(c_62037,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_49329,c_88]) ).
tcf(c_62039,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(superposition,[status(thm)],[c_49329,c_81]) ).
tcf(c_62040,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ( sdtpldt0(sdtpldt0(sz10,xr),X0) != sdtpldt0(sz10,xr) ) ),
inference(superposition,[status(thm)],[c_49329,c_87]) ).
tcf(c_62041,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtpldt0(sz10,xr),X0) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62040,c_134,c_49199]) ).
tcf(c_62045,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz10,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62037,c_134,c_49199]) ).
tcf(c_62049,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtpldt0(sz10,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62036,c_134,c_49199]) ).
tcf(c_62054,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(sdtpldt0(sz10,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62035,c_134,c_49199]) ).
tcf(c_62059,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),sdtpldt0(X0,sz00))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62039,c_134,c_49199]) ).
tcf(c_62064,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62019,c_134,c_49199]) ).
tcf(c_62071,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtpldt0(sz10,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62027,c_134,c_49199]) ).
tcf(c_62079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62026,c_134,c_49199]) ).
tcf(c_62220,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_5086]) ).
tcf(c_62221,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),sz00) = sdtpldt0(sz00,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_5086]) ).
tcf(c_62222,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtpldt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_5086]) ).
tcf(c_62223,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),sz00) = sdtpldt0(sz00,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_5086]) ).
tcf(c_62224,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),sz00) = sdtpldt0(sz00,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_5086]) ).
tcf(c_62225,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),sz00) = sdtpldt0(sz00,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_5086]) ).
tcf(c_62227,plain,
sdtpldt0(sz00,sz10) = sdtpldt0(sz10,sz00),
inference(superposition,[status(thm)],[c_138,c_5086]) ).
tcf(c_62228,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sz00) = sdtpldt0(sz00,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_5086]) ).
tcf(c_62229,plain,
sdtpldt0(sdtpldt0(xn,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_5404,c_5086]) ).
tcf(c_62230,plain,
sdtpldt0(sdtpldt0(xn,xp),sz00) = sdtpldt0(sz00,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_5447,c_5086]) ).
tcf(c_62231,plain,
sdtpldt0(sdtpldt0(xn,xr),sz00) = sdtpldt0(sz00,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_5662,c_5086]) ).
tcf(c_62232,plain,
sdtpldt0(sdtpldt0(sz10,xn),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5707,c_5086]) ).
tcf(c_62233,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(superposition,[status(thm)],[c_5784,c_5086]) ).
tcf(c_62234,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp))),
inference(superposition,[status(thm)],[c_14098,c_5086]) ).
tcf(c_62235,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_21011,c_5086]) ).
tcf(c_62236,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn))),
inference(superposition,[status(thm)],[c_23711,c_5086]) ).
tcf(c_62237,plain,
sdtpldt0(sdtpldt0(xp,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_28961,c_5086]) ).
tcf(c_62238,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))),
inference(superposition,[status(thm)],[c_29666,c_5086]) ).
tcf(c_62239,plain,
sdtpldt0(sdtpldt0(xr,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xr,xm)),
inference(superposition,[status(thm)],[c_30030,c_5086]) ).
tcf(c_62240,plain,
sdtpldt0(sdtpldt0(sz10,xm),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_30349,c_5086]) ).
tcf(c_62241,plain,
sdtpldt0(sdtpldt0(xp,xr),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_41038,c_5086]) ).
tcf(c_62242,plain,
sdtpldt0(sdtpldt0(sz10,xp),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_41228,c_5086]) ).
tcf(c_62243,plain,
sdtpldt0(sdtpldt0(sz10,xr),sz00) = sdtpldt0(sz00,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_49199,c_5086]) ).
tcf(c_62296,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_5087]) ).
tcf(c_62297,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK0(X0,X1),sz10) = sdtpldt0(sz10,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_5087]) ).
tcf(c_62298,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_5087]) ).
tcf(c_62299,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X0,X1),sz10) = sdtpldt0(sz10,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_5087]) ).
tcf(c_62300,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK2(X0),sz10) = sdtpldt0(sz10,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_5087]) ).
tcf(c_62301,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sK3(X0),sz10) = sdtpldt0(sz10,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_5087]) ).
tcf(c_62304,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sz10) = sdtpldt0(sz10,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_5087]) ).
tcf(c_62305,plain,
sdtpldt0(sdtpldt0(xn,xm),sz10) = sdtpldt0(sz10,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_5404,c_5087]) ).
tcf(c_62306,plain,
sdtpldt0(sdtpldt0(xn,xp),sz10) = sdtpldt0(sz10,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_5447,c_5087]) ).
tcf(c_62307,plain,
sdtpldt0(sdtpldt0(xn,xr),sz10) = sdtpldt0(sz10,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_5662,c_5087]) ).
tcf(c_62308,plain,
sdtpldt0(sdtpldt0(sz10,xn),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5707,c_5087]) ).
tcf(c_62309,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz10) = sdtpldt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(superposition,[status(thm)],[c_5784,c_5087]) ).
tcf(c_62310,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sz10) = sdtpldt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xp))),
inference(superposition,[status(thm)],[c_14098,c_5087]) ).
tcf(c_62311,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sz10) = sdtpldt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_21011,c_5087]) ).
tcf(c_62312,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sz10) = sdtpldt0(sz10,sdtpldt0(xn,sdtpldt0(sz10,xn))),
inference(superposition,[status(thm)],[c_23711,c_5087]) ).
tcf(c_62313,plain,
sdtpldt0(sdtpldt0(xp,xm),sz10) = sdtpldt0(sz10,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_28961,c_5087]) ).
tcf(c_62314,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sz10) = sdtpldt0(sz10,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))),
inference(superposition,[status(thm)],[c_29666,c_5087]) ).
tcf(c_62315,plain,
sdtpldt0(sdtpldt0(xr,xm),sz10) = sdtpldt0(sz10,sdtpldt0(xr,xm)),
inference(superposition,[status(thm)],[c_30030,c_5087]) ).
tcf(c_62316,plain,
sdtpldt0(sdtpldt0(sz10,xm),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_30349,c_5087]) ).
tcf(c_62317,plain,
sdtpldt0(sdtpldt0(xp,xr),sz10) = sdtpldt0(sz10,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_41038,c_5087]) ).
tcf(c_62318,plain,
sdtpldt0(sdtpldt0(sz10,xp),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_41228,c_5087]) ).
tcf(c_62319,plain,
sdtpldt0(sdtpldt0(sz10,xr),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_49199,c_5087]) ).
tcf(c_62353,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_50,c_5214]) ).
tcf(c_62354,plain,
sdtasdt0(xn,xp) = sdtasdt0(xp,xn),
inference(superposition,[status(thm)],[c_51,c_5214]) ).
tcf(c_62355,plain,
sdtasdt0(xn,xr) = sdtasdt0(xr,xn),
inference(superposition,[status(thm)],[c_66,c_5214]) ).
tcf(c_62356,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_5214]) ).
tcf(c_62357,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),xn) = sdtasdt0(xn,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_5214]) ).
tcf(c_62358,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_5214]) ).
tcf(c_62359,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),xn) = sdtasdt0(xn,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_5214]) ).
tcf(c_62360,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),xn) = sdtasdt0(xn,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_5214]) ).
tcf(c_62361,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),xn) = sdtasdt0(xn,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_5214]) ).
tcf(c_62362,plain,
sdtasdt0(xn,sz00) = sdtasdt0(sz00,xn),
inference(superposition,[status(thm)],[c_134,c_5214]) ).
tcf(c_62363,plain,
sdtasdt0(xn,sz10) = sdtasdt0(sz10,xn),
inference(superposition,[status(thm)],[c_138,c_5214]) ).
tcf(c_62364,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),xn) = sdtasdt0(xn,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_5214]) ).
tcf(c_62365,plain,
sdtasdt0(sdtpldt0(xn,xm),xn) = sdtasdt0(xn,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_5404,c_5214]) ).
tcf(c_62366,plain,
sdtasdt0(sdtpldt0(xn,xp),xn) = sdtasdt0(xn,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_5447,c_5214]) ).
tcf(c_62367,plain,
sdtasdt0(sdtpldt0(xn,xr),xn) = sdtasdt0(xn,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_5662,c_5214]) ).
tcf(c_62368,plain,
sdtasdt0(sdtpldt0(sz10,xn),xn) = sdtasdt0(xn,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5707,c_5214]) ).
tcf(c_62369,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(superposition,[status(thm)],[c_5784,c_5214]) ).
tcf(c_62370,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xp))),
inference(superposition,[status(thm)],[c_14098,c_5214]) ).
tcf(c_62371,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_21011,c_5214]) ).
tcf(c_62372,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz10,xn))),
inference(superposition,[status(thm)],[c_23711,c_5214]) ).
tcf(c_62373,plain,
sdtasdt0(sdtpldt0(xp,xm),xn) = sdtasdt0(xn,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_28961,c_5214]) ).
tcf(c_62374,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))),
inference(superposition,[status(thm)],[c_29666,c_5214]) ).
tcf(c_62375,plain,
sdtasdt0(sdtpldt0(xr,xm),xn) = sdtasdt0(xn,sdtpldt0(xr,xm)),
inference(superposition,[status(thm)],[c_30030,c_5214]) ).
tcf(c_62376,plain,
sdtasdt0(sdtpldt0(sz10,xm),xn) = sdtasdt0(xn,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_30349,c_5214]) ).
tcf(c_62377,plain,
sdtasdt0(sdtpldt0(xp,xr),xn) = sdtasdt0(xn,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_41038,c_5214]) ).
tcf(c_62378,plain,
sdtasdt0(sdtpldt0(sz10,xp),xn) = sdtasdt0(xn,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_41228,c_5214]) ).
tcf(c_62379,plain,
sdtasdt0(sdtpldt0(sz10,xr),xn) = sdtasdt0(xn,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_49199,c_5214]) ).
tcf(c_62513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_62353,c_104]) ).
tcf(c_62514,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_62353,c_28161]) ).
tcf(c_62515,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_62353,c_23072]) ).
tcf(c_62516,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_62353,c_16382]) ).
tcf(c_62517,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_62353,c_16055]) ).
tcf(c_62520,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_62353,c_9145]) ).
tcf(c_62521,plain,
( ( xm = sz00 )
| ( xn = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_62353,c_105]) ).
tcf(c_62522,plain,
( doDivides0(xm,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_62353,c_185]) ).
tcf(c_62523,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_62353,c_112]) ).
tcf(c_62524,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_62353,c_100]) ).
tcf(c_62525,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xn,xm))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_62353,c_102]) ).
tcf(c_62526,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_62353,c_107]) ).
tcf(c_62527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_62353,c_104]) ).
tcf(c_62528,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_62353,c_106]) ).
tcf(c_62529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_62353,c_102]) ).
tcf(c_62530,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_62523,c_50,c_49]) ).
tcf(c_62531,plain,
doDivides0(xm,sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_62522,c_50,c_49]) ).
tcf(c_62532,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62524,c_50,c_49]) ).
tcf(c_62535,plain,
( ( xm = sz00 )
| ( xn = sz00 )
| ( sdtasdt0(xn,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62521,c_50,c_49]) ).
tcf(c_62539,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62528,c_50,c_49]) ).
tcf(c_62544,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62526,c_50,c_49]) ).
tcf(c_62549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62529,c_50,c_49]) ).
tcf(c_62555,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62527,c_50,c_49]) ).
tcf(c_62561,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xn,xm))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62525,c_50,c_49]) ).
tcf(c_62567,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62513,c_50,c_49]) ).
tcf(c_62573,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62515,c_50,c_49]) ).
tcf(c_62579,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62514,c_50,c_49]) ).
tcf(c_62585,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62520,c_50,c_49]) ).
tcf(c_62591,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62517,c_50,c_49]) ).
tcf(c_62600,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62516,c_50,c_49]) ).
tcf(c_62755,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xn,xm)),sdtasdt0(X0,sdtasdt0(xn,xm))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62530,c_90]) ).
tcf(c_62756,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,xm),X1),sdtasdt0(sdtasdt0(xn,xm),X0)) = sdtasdt0(sdtasdt0(xn,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62530,c_89]) ).
tcf(c_62757,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X1),X0) = sdtasdt0(sdtasdt0(xn,xm),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62530,c_110]) ).
tcf(c_62758,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),X1),X0) = sdtpldt0(sdtasdt0(xn,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62530,c_93]) ).
tcf(c_62759,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),X0) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62530,c_195]) ).
tcf(c_62760,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xm),X0) = sdtasdt0(X0,sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62530,c_111]) ).
tcf(c_62761,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xm),X0) = sdtpldt0(X0,sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62530,c_94]) ).
tcf(c_62762,plain,
sdtasdt0(sdtasdt0(xn,xm),xn) = sdtasdt0(xn,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_62530,c_5214]) ).
tcf(c_62763,plain,
sdtpldt0(sdtasdt0(xn,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_62530,c_5087]) ).
tcf(c_62764,plain,
sdtpldt0(sdtasdt0(xn,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_62530,c_5086]) ).
tcf(c_62765,plain,
sdtpldt0(sdtasdt0(xn,xm),xr) = sdtpldt0(xr,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_62530,c_5082]) ).
tcf(c_62766,plain,
sdtpldt0(sdtasdt0(xn,xm),xp) = sdtpldt0(xp,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_62530,c_5081]) ).
tcf(c_62767,plain,
sdtpldt0(sdtasdt0(xn,xm),xm) = sdtpldt0(xm,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_62530,c_5080]) ).
tcf(c_62768,plain,
sdtpldt0(sdtasdt0(xn,xm),xn) = sdtpldt0(xn,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_62530,c_5079]) ).
tcf(c_62769,plain,
sdtasdt0(sz10,sdtasdt0(xn,xm)) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_62530,c_137]) ).
tcf(c_62770,plain,
sdtasdt0(sdtasdt0(xn,xm),sz10) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_62530,c_136]) ).
tcf(c_62771,plain,
sdtasdt0(sz00,sdtasdt0(xn,xm)) = sz00,
inference(superposition,[status(thm)],[c_62530,c_109]) ).
tcf(c_62772,plain,
sdtasdt0(sdtasdt0(xn,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_62530,c_108]) ).
tcf(c_62773,plain,
sdtpldt0(sz00,sdtasdt0(xn,xm)) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_62530,c_92]) ).
tcf(c_62774,plain,
sdtpldt0(sdtasdt0(xn,xm),sz00) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_62530,c_91]) ).
tcf(c_62843,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xm)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62531,c_130]) ).
tcf(c_62844,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xn,xm),xm)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62531,c_133]) ).
tcf(c_62845,plain,
( ( xm = sz10 )
| ( sdtasdt0(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ isPrime0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62531,c_124]) ).
tcf(c_62846,plain,
( ( sdtasdt0(xm,sK1(xm,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62531,c_99]) ).
tcf(c_62847,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62531,c_113]) ).
tcf(c_62848,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62531,c_114]) ).
tcf(c_62849,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62847,c_50,c_62530]) ).
tcf(c_62852,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62848,c_50,c_62530]) ).
tcf(c_62856,plain,
sdtasdt0(xm,sK1(xm,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_62846,c_50,c_62530]) ).
tcf(c_62857,plain,
( ( xm = sz10 )
| ( sdtasdt0(xn,xm) = xm )
| ~ isPrime0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62845,c_50,c_62530]) ).
tcf(c_62861,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xn,xm),xm)) = sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62844,c_50,c_62530]) ).
tcf(c_62864,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xm)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62843,c_50,c_62530]) ).
tcf(c_62870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_62354,c_104]) ).
tcf(c_62871,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_62354,c_28161]) ).
tcf(c_62872,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_62354,c_23072]) ).
tcf(c_62873,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_62354,c_16382]) ).
tcf(c_62874,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_62354,c_16055]) ).
tcf(c_62877,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_62354,c_9145]) ).
tcf(c_62878,plain,
( ( xp = sz00 )
| ( xn = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xn,xp) != sz00 ) ),
inference(superposition,[status(thm)],[c_62354,c_105]) ).
tcf(c_62879,plain,
( doDivides0(xp,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_62354,c_185]) ).
tcf(c_62880,plain,
( aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_62354,c_112]) ).
tcf(c_62881,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_62354,c_100]) ).
tcf(c_62882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xp))
| ( xp = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_62354,c_102]) ).
tcf(c_62883,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_62354,c_107]) ).
tcf(c_62884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_62354,c_104]) ).
tcf(c_62885,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_62354,c_106]) ).
tcf(c_62886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_62354,c_102]) ).
tcf(c_62887,plain,
aNaturalNumber0(sdtasdt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_62880,c_51,c_49]) ).
tcf(c_62888,plain,
doDivides0(xp,sdtasdt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_62879,c_51,c_49]) ).
tcf(c_62889,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62881,c_51,c_49]) ).
tcf(c_62892,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xp) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62878,c_27861,c_51,c_49]) ).
tcf(c_62895,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62885,c_27861,c_51,c_49]) ).
tcf(c_62899,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62883,c_51,c_49]) ).
tcf(c_62904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(xp,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62886,c_27861,c_51,c_49]) ).
tcf(c_62909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62884,c_51,c_49]) ).
tcf(c_62915,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xp))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62882,c_27861,c_51,c_49]) ).
tcf(c_62920,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62870,c_51,c_49]) ).
tcf(c_62926,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62872,c_51,c_49]) ).
tcf(c_62932,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62871,c_51,c_49]) ).
tcf(c_62938,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62877,c_51,c_49]) ).
tcf(c_62944,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62874,c_27861,c_51,c_49]) ).
tcf(c_62952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62873,c_51,c_49]) ).
tcf(c_63070,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(global_subsumption_just,[status(thm)],[c_59314,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_8012,c_33249,c_47966]) ).
tcf(c_63076,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_59492,c_24256,c_44185]) ).
tcf(c_63077,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_63076]) ).
tcf(c_63098,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_63077]) ).
tcf(c_63099,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_63077]) ).
tcf(c_63100,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_63077]) ).
tcf(c_63101,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_63077]) ).
tcf(c_63103,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_63077]) ).
tcf(c_63104,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_63077]) ).
tcf(c_63105,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_63077]) ).
tcf(c_63106,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_63077]) ).
tcf(c_63107,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_63077]) ).
tcf(c_63118,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63106,c_49]) ).
tcf(c_63129,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63100,c_49]) ).
tcf(c_63141,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63099,c_49]) ).
tcf(c_63153,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63098,c_49]) ).
tcf(c_63165,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63105,c_49]) ).
tcf(c_63177,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63101,c_49]) ).
tcf(c_63190,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63104,c_49]) ).
tcf(c_63204,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63103,c_49]) ).
tcf(c_63247,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_46367,c_55]) ).
tcf(c_63248,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_46367,c_56]) ).
tcf(c_63250,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_46367,c_127]) ).
tcf(c_63251,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_44165]) ).
tcf(c_63252,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_41968]) ).
tcf(c_63253,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_38665]) ).
tcf(c_63254,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_35501]) ).
tcf(c_63255,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46367,c_25716]) ).
tcf(c_63256,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46367,c_7926]) ).
tcf(c_63257,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_46367,c_128]) ).
tcf(c_63258,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_84]) ).
tcf(c_63259,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_96]) ).
tcf(c_63261,plain,
( sdtlseqdt0(xk,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_46367,c_6496]) ).
tcf(c_63266,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_45184]) ).
tcf(c_63267,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_7326]) ).
tcf(c_63269,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_7322]) ).
tcf(c_63270,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46367,c_41532]) ).
tcf(c_63271,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46367,c_34545]) ).
tcf(c_63272,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46367,c_8200]) ).
tcf(c_63275,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_7288]) ).
tcf(c_63276,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_7284]) ).
tcf(c_63277,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_46367,c_19228]) ).
tcf(c_63278,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_46367,c_19224]) ).
tcf(c_63287,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_46367,c_13445]) ).
tcf(c_63288,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_46367,c_13129]) ).
tcf(c_63289,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_46367,c_8360]) ).
tcf(c_63290,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_46367,c_16382]) ).
tcf(c_63291,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_46367,c_16055]) ).
tcf(c_63292,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_46367,c_9145]) ).
tcf(c_63297,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))) = sdtasdt0(sdtsldt0(xn,xr),X0) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_46367,c_9120]) ).
tcf(c_63298,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtpldt0(xn,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_46367,c_8404]) ).
tcf(c_63299,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_11272]) ).
tcf(c_63300,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_11265]) ).
tcf(c_63301,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xp)))) = sdtpldt0(xn,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_46367,c_14142]) ).
tcf(c_63302,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtpldt0(xn,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_21055]) ).
tcf(c_63303,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))) = sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_46367,c_23029]) ).
tcf(c_63304,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_63077]) ).
tcf(c_63305,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_58879]) ).
tcf(c_63306,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_56156]) ).
tcf(c_63307,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_56051]) ).
tcf(c_63309,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_32166]) ).
tcf(c_63310,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_29318]) ).
tcf(c_63311,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_24826]) ).
tcf(c_63312,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_24700]) ).
tcf(c_63313,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_24504]) ).
tcf(c_63314,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_24468]) ).
tcf(c_63316,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_24256]) ).
tcf(c_63318,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_26250]) ).
tcf(c_63320,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(sz10,xn)))) = sdtpldt0(xn,sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_46367,c_23760]) ).
tcf(c_63322,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_46367,c_29717]) ).
tcf(c_63334,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X2)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46367,c_127]) ).
tcf(c_63337,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46367,c_38665]) ).
tcf(c_63339,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46367,c_25716]) ).
tcf(c_63340,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_46367,c_7926]) ).
tcf(c_63341,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_46367,c_128]) ).
tcf(c_63342,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46367,c_84]) ).
tcf(c_63343,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_46367,c_96]) ).
tcf(c_63347,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_45159]) ).
tcf(c_63348,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_11272]) ).
tcf(c_63349,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_46367,c_24316]) ).
tcf(c_63352,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xr)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63278,c_66,c_138]) ).
tcf(c_63355,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63277,c_138,c_51]) ).
tcf(c_63358,plain,
( sdtlseqdt0(xk,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp )
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63261,c_51]) ).
tcf(c_63362,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63248,c_51,c_50]) ).
tcf(c_63365,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),xp)) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63247,c_51,c_49]) ).
tcf(c_63368,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63276,c_138]) ).
tcf(c_63373,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63275,c_138]) ).
tcf(c_63378,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63269,c_50]) ).
tcf(c_63383,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63267,c_49]) ).
tcf(c_63461,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63266,c_49]) ).
tcf(c_63531,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63289,c_49]) ).
tcf(c_63547,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(sz10,xn)))) = sdtpldt0(xn,sdtpldt0(sz10,xn)) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63320,c_49,c_23711]) ).
tcf(c_63553,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtpldt0(xn,sdtpldt0(xn,xr)) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63302,c_49,c_21011]) ).
tcf(c_63559,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xp)))) = sdtpldt0(xn,sdtpldt0(xn,xp)) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63301,c_49,c_14098]) ).
tcf(c_63565,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtpldt0(xn,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63298,c_49,c_5784]) ).
tcf(c_63571,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))) = sdtasdt0(sdtsldt0(xn,xr),X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63297,c_49]) ).
tcf(c_63579,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63292,c_49]) ).
tcf(c_63604,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63322,c_49,c_29666]) ).
tcf(c_63610,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63288,c_49]) ).
tcf(c_63622,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63287,c_49]) ).
tcf(c_63635,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63313,c_49]) ).
tcf(c_63643,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))) = sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63303,c_49]) ).
tcf(c_63652,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63291,c_49]) ).
tcf(c_63665,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63290,c_49]) ).
tcf(c_63687,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63311,c_49]) ).
tcf(c_63697,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63310,c_49]) ).
tcf(c_63707,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63305,c_49]) ).
tcf(c_63717,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63307,c_49]) ).
tcf(c_63727,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63316,c_49]) ).
tcf(c_63737,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63314,c_49]) ).
tcf(c_63746,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63306,c_49]) ).
tcf(c_63755,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63312,c_49]) ).
tcf(c_63765,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63304,c_49]) ).
tcf(c_63777,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63309,c_49]) ).
tcf(c_64159,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xr),sz00)),sz00)
| ( sdtpldt0(xn,xr) = X0 )
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_7232,c_104]) ).
tcf(c_64161,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_7232,c_23072]) ).
tcf(c_64162,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xr),sz00)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = X0 )
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_7232,c_16382]) ).
tcf(c_64163,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = sz00 )
| ( sK1(sdtpldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_7232,c_16055]) ).
tcf(c_64166,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_7232,c_9145]) ).
tcf(c_64167,plain,
( ( sdtpldt0(xn,xr) = sz00 )
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_7232,c_105]) ).
tcf(c_64170,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sz00)
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_7232,c_100]) ).
tcf(c_64171,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sz00)
| ( sdtpldt0(xn,xr) = sz00 )
| ( sK1(sdtpldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_7232,c_102]) ).
tcf(c_64172,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xn,xr),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7232,c_107]) ).
tcf(c_64173,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xn,xr),sz00)))
| ( sdtpldt0(xn,xr) = X0 )
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_7232,c_104]) ).
tcf(c_64174,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = sz00 )
| ( sK1(sdtpldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00))
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7232,c_106]) ).
tcf(c_64175,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xr),X0))
| ( sdtpldt0(xn,xr) = sz00 )
| ( sK1(sdtpldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xn,xr),sz00),X0) ),
inference(superposition,[status(thm)],[c_7232,c_102]) ).
tcf(c_64176,plain,
( ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64170,c_22117,c_5662]) ).
tcf(c_64180,plain,
! [X0: $i] :
( ( sK1(sdtpldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00))
| ( sdtasdt0(sdtpldt0(xn,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64174,c_20390,c_5662]) ).
tcf(c_64185,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xr) = X0 )
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(xn,xr),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64172,c_5662]) ).
tcf(c_64198,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64166,c_4997,c_5662]) ).
tcf(c_64204,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,xr),X0))
| ( sK1(sdtpldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(xn,xr),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64175,c_20390,c_5662]) ).
tcf(c_64210,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(xn,xr),sz00)))
| ( sdtpldt0(xn,xr) = X0 )
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xn,xr),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64173,c_5662]) ).
tcf(c_64217,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sz00)
| ( sK1(sdtpldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64171,c_20390,c_5662]) ).
tcf(c_64223,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xr),sz00)),sz00)
| ( sdtpldt0(xn,xr) = X0 )
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64159,c_5662]) ).
tcf(c_64230,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(xn,xr),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(xn,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64163,c_20390,c_4997,c_5662]) ).
tcf(c_64238,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(xn,xr),sz00)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,xr) = X0 )
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64162,c_4997,c_5662]) ).
tcf(c_64247,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xn,xp)),sdtasdt0(X0,sdtasdt0(xn,xp))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xn,xp)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62887,c_90]) ).
tcf(c_64248,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,xp),X1),sdtasdt0(sdtasdt0(xn,xp),X0)) = sdtasdt0(sdtasdt0(xn,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62887,c_89]) ).
tcf(c_64249,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xp),X1),X0) = sdtasdt0(sdtasdt0(xn,xp),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62887,c_110]) ).
tcf(c_64250,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,xp),X1),X0) = sdtpldt0(sdtasdt0(xn,xp),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62887,c_93]) ).
tcf(c_64251,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xp)),X0) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62887,c_195]) ).
tcf(c_64252,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xp),X0) = sdtasdt0(X0,sdtasdt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62887,c_111]) ).
tcf(c_64253,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xp),X0) = sdtpldt0(X0,sdtasdt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62887,c_94]) ).
tcf(c_64254,plain,
sdtasdt0(sdtasdt0(xn,xp),xn) = sdtasdt0(xn,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_62887,c_5214]) ).
tcf(c_64255,plain,
sdtpldt0(sdtasdt0(xn,xp),sz10) = sdtpldt0(sz10,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_62887,c_5087]) ).
tcf(c_64256,plain,
sdtpldt0(sdtasdt0(xn,xp),sz00) = sdtpldt0(sz00,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_62887,c_5086]) ).
tcf(c_64257,plain,
sdtpldt0(sdtasdt0(xn,xp),xr) = sdtpldt0(xr,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_62887,c_5082]) ).
tcf(c_64258,plain,
sdtpldt0(sdtasdt0(xn,xp),xp) = sdtpldt0(xp,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_62887,c_5081]) ).
tcf(c_64259,plain,
sdtpldt0(sdtasdt0(xn,xp),xm) = sdtpldt0(xm,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_62887,c_5080]) ).
tcf(c_64260,plain,
sdtpldt0(sdtasdt0(xn,xp),xn) = sdtpldt0(xn,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_62887,c_5079]) ).
tcf(c_64261,plain,
sdtasdt0(sz10,sdtasdt0(xn,xp)) = sdtasdt0(xn,xp),
inference(superposition,[status(thm)],[c_62887,c_137]) ).
tcf(c_64262,plain,
sdtasdt0(sdtasdt0(xn,xp),sz10) = sdtasdt0(xn,xp),
inference(superposition,[status(thm)],[c_62887,c_136]) ).
tcf(c_64263,plain,
sdtasdt0(sz00,sdtasdt0(xn,xp)) = sz00,
inference(superposition,[status(thm)],[c_62887,c_109]) ).
tcf(c_64264,plain,
sdtasdt0(sdtasdt0(xn,xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_62887,c_108]) ).
tcf(c_64265,plain,
sdtpldt0(sz00,sdtasdt0(xn,xp)) = sdtasdt0(xn,xp),
inference(superposition,[status(thm)],[c_62887,c_92]) ).
tcf(c_64266,plain,
sdtpldt0(sdtasdt0(xn,xp),sz00) = sdtasdt0(xn,xp),
inference(superposition,[status(thm)],[c_62887,c_91]) ).
tcf(c_64394,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xp),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xp)),xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62888,c_130]) ).
tcf(c_64395,plain,
( ( xp = sz00 )
| ( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xp),xp)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62888,c_133]) ).
tcf(c_64396,plain,
( ( xp = sz10 )
| ( sdtasdt0(xn,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ isPrime0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62888,c_124]) ).
tcf(c_64397,plain,
( ( sdtasdt0(xp,sK1(xp,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62888,c_99]) ).
tcf(c_64398,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62888,c_113]) ).
tcf(c_64399,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62888,c_114]) ).
tcf(c_64400,plain,
( sdtlseqdt0(xp,sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64398,c_51,c_62887]) ).
tcf(c_64403,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64399,c_51,c_62887]) ).
tcf(c_64407,plain,
sdtasdt0(xp,sK1(xp,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_64397,c_51,c_62887]) ).
tcf(c_64408,plain,
( ( xp = sz10 )
| ( sdtasdt0(xn,xp) = xp )
| ~ isPrime0(sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64396,c_51,c_62887]) ).
tcf(c_64412,plain,
sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xp),xp)) = sdtasdt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_64395,c_27861,c_51,c_62887]) ).
tcf(c_64413,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xp),xp)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xp)),xp) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64394,c_27861,c_51,c_62887]) ).
tcf(c_64418,plain,
sdtasdt0(xr,sdtsldt0(sz00,xr)) = sz00,
inference(global_subsumption_just,[status(thm)],[c_52961,c_1657,c_9837]) ).
tcf(c_64426,plain,
( sdtlseqdt0(xr,sz00)
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_64418,c_100]) ).
tcf(c_64432,plain,
( ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64426,c_53061,c_66]) ).
tcf(c_64478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_62355,c_104]) ).
tcf(c_64479,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_62355,c_28161]) ).
tcf(c_64480,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_62355,c_23072]) ).
tcf(c_64481,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_62355,c_16382]) ).
tcf(c_64482,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_62355,c_16055]) ).
tcf(c_64486,plain,
( ( sz00 = xr )
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xn,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_62355,c_105]) ).
tcf(c_64487,plain,
( doDivides0(xr,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_62355,c_185]) ).
tcf(c_64488,plain,
( aNaturalNumber0(sdtasdt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_62355,c_112]) ).
tcf(c_64489,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_62355,c_100]) ).
tcf(c_64490,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xn,xr))
| ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_62355,c_102]) ).
tcf(c_64491,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_62355,c_107]) ).
tcf(c_64492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_62355,c_104]) ).
tcf(c_64493,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_62355,c_106]) ).
tcf(c_64494,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_62355,c_102]) ).
tcf(c_64495,plain,
aNaturalNumber0(sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_64488,c_66,c_49]) ).
tcf(c_64496,plain,
doDivides0(xr,sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_64487,c_66,c_49]) ).
tcf(c_64497,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xr))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64489,c_66,c_49]) ).
tcf(c_64500,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xr) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64486,c_27859,c_66,c_49]) ).
tcf(c_64503,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64493,c_27859,c_66,c_49]) ).
tcf(c_64507,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64491,c_66,c_49]) ).
tcf(c_64512,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(xr,X0))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64494,c_27859,c_66,c_49]) ).
tcf(c_64517,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,xn))
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64492,c_66,c_49]) ).
tcf(c_64523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xn,xr))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64490,c_27859,c_66,c_49]) ).
tcf(c_64528,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64478,c_66,c_49]) ).
tcf(c_64534,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64480,c_66,c_49]) ).
tcf(c_64540,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64479,c_66,c_49]) ).
tcf(c_64546,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64482,c_27859,c_66,c_49]) ).
tcf(c_64554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xn),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64481,c_66,c_49]) ).
tcf(c_64595,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xn,xr)),sdtasdt0(X0,sdtasdt0(xn,xr))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64495,c_90]) ).
tcf(c_64596,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,xr),X1),sdtasdt0(sdtasdt0(xn,xr),X0)) = sdtasdt0(sdtasdt0(xn,xr),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64495,c_89]) ).
tcf(c_64597,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xr),X1),X0) = sdtasdt0(sdtasdt0(xn,xr),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64495,c_110]) ).
tcf(c_64598,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,xr),X1),X0) = sdtpldt0(sdtasdt0(xn,xr),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64495,c_93]) ).
tcf(c_64599,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),X0) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64495,c_195]) ).
tcf(c_64600,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xr),X0) = sdtasdt0(X0,sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64495,c_111]) ).
tcf(c_64601,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xr),X0) = sdtpldt0(X0,sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64495,c_94]) ).
tcf(c_64602,plain,
sdtasdt0(sdtasdt0(xn,xr),xn) = sdtasdt0(xn,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_64495,c_5214]) ).
tcf(c_64603,plain,
sdtpldt0(sdtasdt0(xn,xr),sz10) = sdtpldt0(sz10,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_64495,c_5087]) ).
tcf(c_64604,plain,
sdtpldt0(sdtasdt0(xn,xr),sz00) = sdtpldt0(sz00,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_64495,c_5086]) ).
tcf(c_64605,plain,
sdtpldt0(sdtasdt0(xn,xr),xr) = sdtpldt0(xr,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_64495,c_5082]) ).
tcf(c_64606,plain,
sdtpldt0(sdtasdt0(xn,xr),xp) = sdtpldt0(xp,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_64495,c_5081]) ).
tcf(c_64607,plain,
sdtpldt0(sdtasdt0(xn,xr),xm) = sdtpldt0(xm,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_64495,c_5080]) ).
tcf(c_64608,plain,
sdtpldt0(sdtasdt0(xn,xr),xn) = sdtpldt0(xn,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_64495,c_5079]) ).
tcf(c_64609,plain,
sdtasdt0(sz10,sdtasdt0(xn,xr)) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_64495,c_137]) ).
tcf(c_64610,plain,
sdtasdt0(sdtasdt0(xn,xr),sz10) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_64495,c_136]) ).
tcf(c_64611,plain,
sdtasdt0(sz00,sdtasdt0(xn,xr)) = sz00,
inference(superposition,[status(thm)],[c_64495,c_109]) ).
tcf(c_64612,plain,
sdtasdt0(sdtasdt0(xn,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_64495,c_108]) ).
tcf(c_64613,plain,
sdtpldt0(sz00,sdtasdt0(xn,xr)) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_64495,c_92]) ).
tcf(c_64614,plain,
sdtpldt0(sdtasdt0(xn,xr),sz00) = sdtasdt0(xn,xr),
inference(superposition,[status(thm)],[c_64495,c_91]) ).
tcf(c_64687,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xr),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64496,c_130]) ).
tcf(c_64688,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xr),xr)) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64496,c_133]) ).
tcf(c_64689,plain,
( ( sz10 = xr )
| ( sdtasdt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ isPrime0(sdtasdt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64496,c_124]) ).
tcf(c_64690,plain,
( ( sdtasdt0(xr,sK1(xr,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64496,c_99]) ).
tcf(c_64691,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64496,c_113]) ).
tcf(c_64692,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64496,c_114]) ).
tcf(c_64693,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64691,c_66,c_64495]) ).
tcf(c_64696,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64692,c_66,c_64495]) ).
tcf(c_64700,plain,
sdtasdt0(xr,sK1(xr,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_64690,c_66,c_64495]) ).
tcf(c_64701,plain,
( ( sz10 = xr )
| ( sdtasdt0(xn,xr) = xr )
| ~ isPrime0(sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64689,c_66,c_64495]) ).
tcf(c_64705,plain,
sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xr),xr)) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_64688,c_27859,c_66,c_64495]) ).
tcf(c_64706,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xr),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64687,c_27859,c_66,c_64495]) ).
tcf(c_64757,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62771,c_104]) ).
tcf(c_64760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62771,c_16382]) ).
tcf(c_64770,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(X0,sdtasdt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_62771,c_107]) ).
tcf(c_64771,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62771,c_104]) ).
tcf(c_64774,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64770,c_134,c_62530]) ).
tcf(c_64779,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64771,c_134,c_62530]) ).
tcf(c_64785,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64757,c_134,c_62530]) ).
tcf(c_64791,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64760,c_134,c_4997,c_62530]) ).
tcf(c_64803,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62772,c_16055]) ).
tcf(c_64808,plain,
( doDivides0(sdtasdt0(xn,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62772,c_185]) ).
tcf(c_64811,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62772,c_102]) ).
tcf(c_64814,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_62772,c_106]) ).
tcf(c_64815,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62772,c_102]) ).
tcf(c_64816,plain,
doDivides0(sdtasdt0(xn,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_64808,c_134,c_62530]) ).
tcf(c_64817,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64814,c_134,c_62530]) ).
tcf(c_64822,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64815,c_134,c_62530]) ).
tcf(c_64828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64811,c_134,c_62530]) ).
tcf(c_64834,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64803,c_134,c_4997,c_62530]) ).
tcf(c_64927,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_64816,c_130]) ).
tcf(c_64928,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sz00,sdtasdt0(xn,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_64816,c_133]) ).
tcf(c_64930,plain,
( ( sdtasdt0(sdtasdt0(xn,xm),sK1(sdtasdt0(xn,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_64816,c_99]) ).
tcf(c_64932,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_64816,c_114]) ).
tcf(c_64933,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64932,c_134,c_62530]) ).
tcf(c_64937,plain,
sdtasdt0(sdtasdt0(xn,xm),sK1(sdtasdt0(xn,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_64930,c_134,c_62530]) ).
tcf(c_64938,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sz00,sdtasdt0(xn,xm))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64928,c_134,c_62530]) ).
tcf(c_64941,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64927,c_134,c_62530]) ).
tcf(c_64946,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_63349,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_23593,c_33249,c_43904]) ).
tcf(c_64947,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_64946]) ).
tcf(c_64965,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_64947]) ).
tcf(c_64966,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_64947]) ).
tcf(c_64967,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_64947]) ).
tcf(c_64968,plain,
! [X0: $i] :
( iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_64947]) ).
tcf(c_64969,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_64947]) ).
tcf(c_64971,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_64947]) ).
tcf(c_64972,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_64947]) ).
tcf(c_64973,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_64947]) ).
tcf(c_64974,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_64947]) ).
tcf(c_64975,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_64947]) ).
tcf(c_64984,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64974,c_49]) ).
tcf(c_64995,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64966,c_49]) ).
tcf(c_65005,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64973,c_49]) ).
tcf(c_65015,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64969,c_49]) ).
tcf(c_65026,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64972,c_49]) ).
tcf(c_65038,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64971,c_49]) ).
tcf(c_65050,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64965,c_49]) ).
tcf(c_65068,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(global_subsumption_just,[status(thm)],[c_62585,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_62585]) ).
tcf(c_65078,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_46367,c_65068]) ).
tcf(c_65079,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_56154,c_65068]) ).
tcf(c_65080,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_45185,c_65068]) ).
tcf(c_65081,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| iLess0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_38195,c_65068]) ).
tcf(c_65082,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_26221,c_65068]) ).
tcf(c_65084,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_65068]) ).
tcf(c_65085,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_65068]) ).
tcf(c_65086,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_44185,c_65068]) ).
tcf(c_65087,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_126,c_65068]) ).
tcf(c_65088,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_26179,c_65068]) ).
tcf(c_65089,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65088,c_62530]) ).
tcf(c_65094,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65087,c_49,c_62530]) ).
tcf(c_65099,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| iLess0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65081,c_49,c_62530]) ).
tcf(c_65105,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65080,c_49,c_62530]) ).
tcf(c_65111,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65079,c_49,c_62530]) ).
tcf(c_65117,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65086,c_49,c_62530]) ).
tcf(c_65123,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65082,c_49,c_62530]) ).
tcf(c_65130,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65085,c_49,c_62530]) ).
tcf(c_65138,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65084,c_49,c_62530]) ).
tcf(c_65146,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65078,c_49,c_62530]) ).
tcf(c_65153,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(global_subsumption_just,[status(thm)],[c_62938,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_62938]) ).
tcf(c_65163,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_46367,c_65153]) ).
tcf(c_65164,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_56154,c_65153]) ).
tcf(c_65165,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_45185,c_65153]) ).
tcf(c_65166,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| iLess0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_38195,c_65153]) ).
tcf(c_65167,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_26221,c_65153]) ).
tcf(c_65169,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_48068,c_65153]) ).
tcf(c_65170,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_48068,c_65153]) ).
tcf(c_65171,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_44185,c_65153]) ).
tcf(c_65172,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_126,c_65153]) ).
tcf(c_65173,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_26179,c_65153]) ).
tcf(c_65174,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65173,c_62887]) ).
tcf(c_65179,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65172,c_49,c_62887]) ).
tcf(c_65184,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| iLess0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65166,c_49,c_62887]) ).
tcf(c_65190,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65165,c_49,c_62887]) ).
tcf(c_65196,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65164,c_49,c_62887]) ).
tcf(c_65202,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65171,c_49,c_62887]) ).
tcf(c_65208,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65167,c_49,c_62887]) ).
tcf(c_65215,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65170,c_49,c_62887]) ).
tcf(c_65223,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65169,c_49,c_62887]) ).
tcf(c_65231,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65163,c_49,c_62887]) ).
tcf(c_65238,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_44189,c_112,c_44189]) ).
tcf(c_65271,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( xn = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_62353,c_65238]) ).
tcf(c_65272,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5420,c_65238]) ).
tcf(c_65276,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_62354,c_65238]) ).
tcf(c_65281,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr))
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_62355,c_65238]) ).
tcf(c_65290,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6027,c_65238]) ).
tcf(c_65294,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sK1(xr,xn) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK1(xr,xn)) ),
inference(superposition,[status(thm)],[c_6298,c_65238]) ).
tcf(c_65295,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( sK1(sz10,sz00) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,sz00)) ),
inference(superposition,[status(thm)],[c_6295,c_65238]) ).
tcf(c_65296,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(superposition,[status(thm)],[c_6294,c_65238]) ).
tcf(c_65297,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(superposition,[status(thm)],[c_6293,c_65238]) ).
tcf(c_65300,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(superposition,[status(thm)],[c_6292,c_65238]) ).
tcf(c_65305,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(superposition,[status(thm)],[c_6290,c_65238]) ).
tcf(c_65307,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_6682,c_65238]) ).
tcf(c_65309,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(superposition,[status(thm)],[c_7202,c_65238]) ).
tcf(c_65310,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sK1(sdtpldt0(xn,xp),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xp),sz00)) ),
inference(superposition,[status(thm)],[c_7217,c_65238]) ).
tcf(c_65311,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sK1(sdtpldt0(xn,xr),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xr),sz00)) ),
inference(superposition,[status(thm)],[c_7232,c_65238]) ).
tcf(c_65312,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(superposition,[status(thm)],[c_9829,c_65238]) ).
tcf(c_65315,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(superposition,[status(thm)],[c_9827,c_65238]) ).
tcf(c_65349,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ( X2 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_65238,c_127]) ).
tcf(c_65351,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_65238,c_41968]) ).
tcf(c_65356,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_65238,c_128]) ).
tcf(c_65357,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_65238,c_84]) ).
tcf(c_65358,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_65238,c_96]) ).
tcf(c_65359,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(X0,X1),X2))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_65238,c_41532]) ).
tcf(c_65360,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_65238,c_34545]) ).
tcf(c_65362,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65281,c_66,c_49]) ).
tcf(c_65366,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65276,c_51,c_49]) ).
tcf(c_65370,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65271,c_50,c_49]) ).
tcf(c_65374,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sdtsldt0(xm,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65315,c_138]) ).
tcf(c_65379,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtsldt0(xn,sz10) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,sz10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65312,c_138]) ).
tcf(c_65384,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sK1(sz10,xm) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65305,c_138]) ).
tcf(c_65389,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sK1(sz10,xn) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65300,c_138]) ).
tcf(c_65394,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( sK1(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xm,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65297,c_50]) ).
tcf(c_65399,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( sK1(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sK1(xn,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65296,c_49]) ).
tcf(c_65405,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sK1(xr,xn) = sz00 )
| ~ aNaturalNumber0(sK1(xr,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65294,c_66]) ).
tcf(c_65410,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtpldt0(xn,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65272,c_138,c_5404]) ).
tcf(c_65414,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sK1(sz10,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sK1(sz10,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65307,c_138]) ).
tcf(c_65421,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sK1(sdtpldt0(xn,xm),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(xn,xm),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65309,c_5404]) ).
tcf(c_65426,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65290,c_138,c_5784]) ).
tcf(c_65587,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_56335,c_127]) ).
tcf(c_65588,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_44165]) ).
tcf(c_65589,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_41968]) ).
tcf(c_65590,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_38665]) ).
tcf(c_65591,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_35501]) ).
tcf(c_65592,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_25716]) ).
tcf(c_65593,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_7926]) ).
tcf(c_65594,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_56335,c_128]) ).
tcf(c_65595,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,X0)) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_84]) ).
tcf(c_65596,plain,
! [X0: $i,X1: $i] :
( iLess0(xr,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_96]) ).
tcf(c_65598,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_45184]) ).
tcf(c_65599,plain,
! [X0: $i] :
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_7326]) ).
tcf(c_65601,plain,
! [X0: $i] :
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_7322]) ).
tcf(c_65602,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_45159]) ).
tcf(c_65603,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_35468]) ).
tcf(c_65604,plain,
! [X0: $i] :
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_7288]) ).
tcf(c_65607,plain,
! [X0: $i] :
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_7308]) ).
tcf(c_65608,plain,
! [X0: $i] :
( sdtlseqdt0(xr,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_7304]) ).
tcf(c_65609,plain,
! [X0: $i] :
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_7300]) ).
tcf(c_65611,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sz10)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_7292]) ).
tcf(c_65612,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_11265]) ).
tcf(c_65613,plain,
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_56335,c_55]) ).
tcf(c_65614,plain,
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_56335,c_56]) ).
tcf(c_65615,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_75]) ).
tcf(c_65616,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_56335,c_127]) ).
tcf(c_65617,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_44165]) ).
tcf(c_65618,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_41968]) ).
tcf(c_65619,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_38665]) ).
tcf(c_65620,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_35501]) ).
tcf(c_65621,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_25716]) ).
tcf(c_65622,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_7926]) ).
tcf(c_65623,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_56335,c_128]) ).
tcf(c_65624,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_84]) ).
tcf(c_65625,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| iLess0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_96]) ).
tcf(c_65627,plain,
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xk,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_56335,c_6496]) ).
tcf(c_65632,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_45184]) ).
tcf(c_65633,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_7326]) ).
tcf(c_65634,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_13991]) ).
tcf(c_65635,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_7322]) ).
tcf(c_65636,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_41532]) ).
tcf(c_65637,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_34545]) ).
tcf(c_65638,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_8200]) ).
tcf(c_65641,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_7288]) ).
tcf(c_65642,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_7284]) ).
tcf(c_65643,plain,
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_56335,c_19228]) ).
tcf(c_65653,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56335,c_13445]) ).
tcf(c_65654,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56335,c_13129]) ).
tcf(c_65655,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(X0,X1))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56335,c_8360]) ).
tcf(c_65656,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56335,c_16382]) ).
tcf(c_65657,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56335,c_16055]) ).
tcf(c_65658,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtasdt0(X0,X1))
| ( xn = sz00 )
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56335,c_9145]) ).
tcf(c_65659,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_56335,c_8126]) ).
tcf(c_65660,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_56335,c_8121]) ).
tcf(c_65662,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_56335,c_8338]) ).
tcf(c_65663,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_56335,c_9120]) ).
tcf(c_65664,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_56335,c_8404]) ).
tcf(c_65665,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_11272]) ).
tcf(c_65666,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_11265]) ).
tcf(c_65667,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_56335,c_14142]) ).
tcf(c_65668,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_21055]) ).
tcf(c_65669,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_56335,c_23029]) ).
tcf(c_65670,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_64947]) ).
tcf(c_65671,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_63077]) ).
tcf(c_65672,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_58879]) ).
tcf(c_65673,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_56156]) ).
tcf(c_65674,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_56051]) ).
tcf(c_65675,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_36114]) ).
tcf(c_65676,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_32166]) ).
tcf(c_65677,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_29318]) ).
tcf(c_65678,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_24826]) ).
tcf(c_65679,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_24700]) ).
tcf(c_65680,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_24504]) ).
tcf(c_65681,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_24468]) ).
tcf(c_65682,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_24435]) ).
tcf(c_65683,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_24256]) ).
tcf(c_65684,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_56335,c_23651]) ).
tcf(c_65685,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_26250]) ).
tcf(c_65687,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_56335,c_23760]) ).
tcf(c_65688,plain,
( sdtlseqdt0(xr,sdtpldt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_56335,c_29015]) ).
tcf(c_65689,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_56335,c_29717]) ).
tcf(c_65690,plain,
( sdtlseqdt0(xr,sdtpldt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_56335,c_30084]) ).
tcf(c_65691,plain,
( sdtlseqdt0(xr,sdtpldt0(sz10,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_56335,c_30403]) ).
tcf(c_65696,plain,
( sdtlseqdt0(xr,sdtpldt0(sz10,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_56335,c_41508]) ).
tcf(c_65701,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_56335,c_65068]) ).
tcf(c_65702,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_56335,c_65153]) ).
tcf(c_65703,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_127]) ).
tcf(c_65706,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X2))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_38665]) ).
tcf(c_65708,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_25716]) ).
tcf(c_65710,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X1,X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_56335,c_128]) ).
tcf(c_65711,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,X1)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_84]) ).
tcf(c_65712,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_96]) ).
tcf(c_65716,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_45159]) ).
tcf(c_65717,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_11272]) ).
tcf(c_65718,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_56335,c_24316]) ).
tcf(c_65725,plain,
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65643,c_138,c_51]) ).
tcf(c_65730,plain,
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xk,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65627,c_51]) ).
tcf(c_65736,plain,
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65614,c_51,c_50]) ).
tcf(c_65741,plain,
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65613,c_51,c_49]) ).
tcf(c_65746,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65642,c_138]) ).
tcf(c_65753,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65641,c_138]) ).
tcf(c_65760,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65635,c_50]) ).
tcf(c_65767,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65633,c_49]) ).
tcf(c_65774,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65615,c_49]) ).
tcf(c_65785,plain,
! [X0: $i] :
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65601,c_66,c_50]) ).
tcf(c_65792,plain,
! [X0: $i] :
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65599,c_66,c_49]) ).
tcf(c_65846,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65702,c_49,c_62887]) ).
tcf(c_65852,plain,
( sdtlseqdt0(xr,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65701,c_49,c_62530]) ).
tcf(c_65858,plain,
( sdtlseqdt0(xr,sdtpldt0(sz10,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65696,c_49,c_41228]) ).
tcf(c_65881,plain,
! [X0: $i,X1: $i] :
( iLess0(xr,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65596,c_66]) ).
tcf(c_65890,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65632,c_49]) ).
tcf(c_65899,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65595,c_66]) ).
tcf(c_65907,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65594,c_66]) ).
tcf(c_65916,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65591,c_66]) ).
tcf(c_65925,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65634,c_49]) ).
tcf(c_65941,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65588,c_66]) ).
tcf(c_65950,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65587,c_66]) ).
tcf(c_65969,plain,
( sdtlseqdt0(xr,sdtpldt0(sz10,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65691,c_49,c_30349]) ).
tcf(c_65976,plain,
( sdtlseqdt0(xr,sdtpldt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65690,c_49,c_30030]) ).
tcf(c_65983,plain,
( sdtlseqdt0(xr,sdtpldt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65688,c_49,c_28961]) ).
tcf(c_65990,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65660,c_49,c_5447]) ).
tcf(c_65997,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65659,c_49,c_5404]) ).
tcf(c_66023,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65598,c_66,c_49]) ).
tcf(c_66059,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65662,c_49]) ).
tcf(c_66067,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65590,c_66]) ).
tcf(c_66106,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65593,c_66]) ).
tcf(c_66116,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65589,c_66]) ).
tcf(c_66146,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65603,c_49]) ).
tcf(c_66155,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65602,c_66]) ).
tcf(c_66165,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65687,c_49,c_23711]) ).
tcf(c_66172,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65668,c_49,c_21011]) ).
tcf(c_66179,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65667,c_49,c_14098]) ).
tcf(c_66186,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65664,c_49,c_5784]) ).
tcf(c_66193,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65663,c_49]) ).
tcf(c_66202,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(X0,X1))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65655,c_49]) ).
tcf(c_66212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65592,c_66]) ).
tcf(c_66239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtasdt0(X0,X1))
| ( xn = sz00 )
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65658,c_49]) ).
tcf(c_66250,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65689,c_49,c_29666]) ).
tcf(c_66257,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xr )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65612,c_66]) ).
tcf(c_66275,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65669,c_49]) ).
tcf(c_66285,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65685,c_49]) ).
tcf(c_66294,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65680,c_49]) ).
tcf(c_66303,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65684,c_49]) ).
tcf(c_66312,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65654,c_49]) ).
tcf(c_66325,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65653,c_49]) ).
tcf(c_66338,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65657,c_49]) ).
tcf(c_66352,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65656,c_49]) ).
tcf(c_66366,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65678,c_49]) ).
tcf(c_66377,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65677,c_49]) ).
tcf(c_66388,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65672,c_49]) ).
tcf(c_66399,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65674,c_49]) ).
tcf(c_66420,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65683,c_49]) ).
tcf(c_66431,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65681,c_49]) ).
tcf(c_66441,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65679,c_49]) ).
tcf(c_66451,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65673,c_49]) ).
tcf(c_66461,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65682,c_49]) ).
tcf(c_66470,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65671,c_49]) ).
tcf(c_66483,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65670,c_49]) ).
tcf(c_66494,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65676,c_49]) ).
tcf(c_66507,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_65675,c_49]) ).
tcf(c_66761,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xn,xm))),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7891,c_81]) ).
tcf(c_66762,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7891,c_76]) ).
tcf(c_66768,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7891,c_13445]) ).
tcf(c_66769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(sz00,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7891,c_13129]) ).
tcf(c_66773,plain,
( ( sK0(sz00,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_7891,c_86]) ).
tcf(c_66777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xn,xm)),X0) ),
inference(superposition,[status(thm)],[c_7891,c_79]) ).
tcf(c_66778,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xm))
| ( sK0(sz00,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7891,c_79]) ).
tcf(c_66779,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xn,xm))) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_7891,c_88]) ).
tcf(c_66780,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7891,c_77]) ).
tcf(c_66781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sK0(sz00,sdtpldt0(xn,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_7891,c_81]) ).
tcf(c_66782,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_7891,c_87]) ).
tcf(c_66783,plain,
( ( sK0(sz00,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ( sdtpldt0(xn,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66773,c_134]) ).
tcf(c_66787,plain,
! [X0: $i] :
( ( sK0(sz00,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66782,c_134]) ).
tcf(c_66792,plain,
! [X0: $i] :
( doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ~ doDivides0(X0,sK0(sz00,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66780,c_134]) ).
tcf(c_66798,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ( sdtpldt0(X0,sK0(sz00,sdtpldt0(xn,xm))) != sdtpldt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66779,c_134]) ).
tcf(c_66803,plain,
! [X0: $i] :
( doDivides0(X0,sK0(sz00,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz00)
| ~ doDivides0(X0,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66762,c_134]) ).
tcf(c_66809,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(X0,sK0(sz00,sdtpldt0(xn,xm))))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66781,c_134]) ).
tcf(c_66815,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xn,xm))),sdtpldt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66761,c_134]) ).
tcf(c_66821,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtpldt0(xn,xm))
| ( sK0(sz00,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66778,c_134]) ).
tcf(c_66827,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sz00,X0))
| ( sK0(sz00,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sK0(sz00,sdtpldt0(xn,xm)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66777,c_134]) ).
tcf(c_66833,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(sz00,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66768,c_134]) ).
tcf(c_66842,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(sz00,sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sK0(sz00,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(X0,sK0(sz00,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66769,c_134]) ).
tcf(c_66857,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64263,c_104]) ).
tcf(c_66861,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64263,c_16382]) ).
tcf(c_66871,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtasdt0(X0,sdtasdt0(xn,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_64263,c_107]) ).
tcf(c_66872,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xp)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64263,c_104]) ).
tcf(c_66875,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66871,c_134,c_62887]) ).
tcf(c_66880,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xp)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66872,c_134,c_62887]) ).
tcf(c_66886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66857,c_134,c_62887]) ).
tcf(c_66892,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66861,c_134,c_4997,c_62887]) ).
tcf(c_66932,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64264,c_16055]) ).
tcf(c_66937,plain,
( doDivides0(sdtasdt0(xn,xp),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64264,c_185]) ).
tcf(c_66940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64264,c_102]) ).
tcf(c_66943,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtasdt0(sdtasdt0(xn,xp),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_64264,c_106]) ).
tcf(c_66944,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xp),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64264,c_102]) ).
tcf(c_66945,plain,
doDivides0(sdtasdt0(xn,xp),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_66937,c_134,c_62887]) ).
tcf(c_66946,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xp),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66943,c_134,c_62887]) ).
tcf(c_66951,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xp),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66944,c_134,c_62887]) ).
tcf(c_66957,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xp),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66940,c_134,c_62887]) ).
tcf(c_66963,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66932,c_134,c_4997,c_62887]) ).
tcf(c_66971,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xp))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,xp)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_66945,c_130]) ).
tcf(c_66972,plain,
( ( sdtasdt0(xn,xp) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xp),sdtsldt0(sz00,sdtasdt0(xn,xp))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_66945,c_133]) ).
tcf(c_66974,plain,
( ( sdtasdt0(sdtasdt0(xn,xp),sK1(sdtasdt0(xn,xp),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_66945,c_99]) ).
tcf(c_66976,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ doDivides0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_66945,c_114]) ).
tcf(c_66977,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66976,c_134,c_62887]) ).
tcf(c_66981,plain,
sdtasdt0(sdtasdt0(xn,xp),sK1(sdtasdt0(xn,xp),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_66974,c_134,c_62887]) ).
tcf(c_66982,plain,
( ( sdtasdt0(xn,xp) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xp),sdtsldt0(sz00,sdtasdt0(xn,xp))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66972,c_134,c_62887]) ).
tcf(c_66985,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xp))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66971,c_134,c_62887]) ).
tcf(c_67031,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64611,c_104]) ).
tcf(c_67035,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64611,c_16382]) ).
tcf(c_67045,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(X0,sdtasdt0(xn,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_64611,c_107]) ).
tcf(c_67046,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64611,c_104]) ).
tcf(c_67049,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67045,c_134,c_64495]) ).
tcf(c_67054,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67046,c_134,c_64495]) ).
tcf(c_67060,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67031,c_134,c_64495]) ).
tcf(c_67066,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67035,c_134,c_4997,c_64495]) ).
tcf(c_67079,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64612,c_16055]) ).
tcf(c_67084,plain,
( doDivides0(sdtasdt0(xn,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64612,c_185]) ).
tcf(c_67087,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64612,c_102]) ).
tcf(c_67090,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(sdtasdt0(xn,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_64612,c_106]) ).
tcf(c_67091,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64612,c_102]) ).
tcf(c_67092,plain,
doDivides0(sdtasdt0(xn,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_67084,c_134,c_64495]) ).
tcf(c_67093,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67090,c_134,c_64495]) ).
tcf(c_67098,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67091,c_134,c_64495]) ).
tcf(c_67104,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67087,c_134,c_64495]) ).
tcf(c_67110,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67079,c_134,c_4997,c_64495]) ).
tcf(c_67118,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_67092,c_130]) ).
tcf(c_67119,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xr),sdtsldt0(sz00,sdtasdt0(xn,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_67092,c_133]) ).
tcf(c_67121,plain,
( ( sdtasdt0(sdtasdt0(xn,xr),sK1(sdtasdt0(xn,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_67092,c_99]) ).
tcf(c_67123,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ doDivides0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_67092,c_114]) ).
tcf(c_67124,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67123,c_134,c_64495]) ).
tcf(c_67128,plain,
sdtasdt0(sdtasdt0(xn,xr),sK1(sdtasdt0(xn,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_67121,c_134,c_64495]) ).
tcf(c_67129,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xr),sdtsldt0(sz00,sdtasdt0(xn,xr))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67119,c_134,c_64495]) ).
tcf(c_67132,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67118,c_134,c_64495]) ).
tcf(c_67141,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62532,c_127]) ).
tcf(c_67143,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62532,c_41968]) ).
tcf(c_67144,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xn,xm),X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62532,c_38665]) ).
tcf(c_67146,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62532,c_25716]) ).
tcf(c_67147,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_62532,c_7926]) ).
tcf(c_67148,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xm) ),
inference(superposition,[status(thm)],[c_62532,c_128]) ).
tcf(c_67149,plain,
( ( xn = sz00 )
| ( sdtpldt0(xm,sK0(xm,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62532,c_84]) ).
tcf(c_67150,plain,
( iLess0(xm,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtasdt0(xn,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62532,c_96]) ).
tcf(c_67151,plain,
( iLess0(xm,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtasdt0(xn,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67150,c_50,c_62530]) ).
tcf(c_67155,plain,
( ( xn = sz00 )
| ( sdtpldt0(xm,sK0(xm,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67149,c_50,c_62530]) ).
tcf(c_67158,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xm) = xm )
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67148,c_50,c_62530]) ).
tcf(c_67162,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67141,c_50,c_62530]) ).
tcf(c_67167,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xn,xm),X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67144,c_50,c_62530]) ).
tcf(c_67174,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67143,c_50,c_62530]) ).
tcf(c_67181,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67146,c_50,c_62530]) ).
tcf(c_67254,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62889,c_127]) ).
tcf(c_67256,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62889,c_41968]) ).
tcf(c_67257,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xn,xp),X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62889,c_38665]) ).
tcf(c_67259,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62889,c_25716]) ).
tcf(c_67260,plain,
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_62889,c_7926]) ).
tcf(c_67261,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xp) ),
inference(superposition,[status(thm)],[c_62889,c_128]) ).
tcf(c_67262,plain,
( ( xn = sz00 )
| ( sdtpldt0(xp,sK0(xp,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62889,c_84]) ).
tcf(c_67263,plain,
( iLess0(xp,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtasdt0(xn,xp) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62889,c_96]) ).
tcf(c_67264,plain,
( iLess0(xp,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtasdt0(xn,xp) = xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67263,c_51,c_62887]) ).
tcf(c_67268,plain,
( ( xn = sz00 )
| ( sdtpldt0(xp,sK0(xp,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67262,c_51,c_62887]) ).
tcf(c_67271,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xp) = xp )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67261,c_51,c_62887]) ).
tcf(c_67275,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67254,c_51,c_62887]) ).
tcf(c_67280,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xn,xp),X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67257,c_51,c_62887]) ).
tcf(c_67287,plain,
! [X0: $i] :
( sdtlseqdt0(xp,X0)
| sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67256,c_51,c_62887]) ).
tcf(c_67294,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67259,c_51,c_62887]) ).
tcf(c_67307,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_65718,c_24256,c_45661]) ).
tcf(c_67308,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(renaming,[status(thm)],[c_67307]) ).
tcf(c_67328,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_67308]) ).
tcf(c_67329,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_67308]) ).
tcf(c_67330,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_67308]) ).
tcf(c_67331,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_67308]) ).
tcf(c_67332,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_67308]) ).
tcf(c_67333,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_67308]) ).
tcf(c_67335,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_67308]) ).
tcf(c_67336,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_67308]) ).
tcf(c_67337,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_67308]) ).
tcf(c_67338,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_67308]) ).
tcf(c_67339,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_67308]) ).
tcf(c_67349,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67338,c_49]) ).
tcf(c_67359,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67332,c_49]) ).
tcf(c_67370,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67331,c_49]) ).
tcf(c_67381,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67330,c_49]) ).
tcf(c_67392,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67328,c_49]) ).
tcf(c_67403,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67337,c_49]) ).
tcf(c_67414,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67333,c_49]) ).
tcf(c_67426,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67336,c_49]) ).
tcf(c_67439,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67335,c_49]) ).
tcf(c_67452,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67329,c_49]) ).
tcf(c_67524,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(sz10,xn),sz00)),sz00)
| ( sdtpldt0(sz10,xn) = X0 )
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(superposition,[status(thm)],[c_7915,c_104]) ).
tcf(c_67525,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(superposition,[status(thm)],[c_7915,c_65238]) ).
tcf(c_67527,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(superposition,[status(thm)],[c_7915,c_23072]) ).
tcf(c_67528,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(sz10,xn),sz00)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = X0 )
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(superposition,[status(thm)],[c_7915,c_16382]) ).
tcf(c_67529,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = sz00 )
| ( sK1(sdtpldt0(sz10,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(superposition,[status(thm)],[c_7915,c_16055]) ).
tcf(c_67532,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(superposition,[status(thm)],[c_7915,c_9145]) ).
tcf(c_67533,plain,
( ( sdtpldt0(sz10,xn) = sz00 )
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(superposition,[status(thm)],[c_7915,c_105]) ).
tcf(c_67536,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sz00)
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(superposition,[status(thm)],[c_7915,c_100]) ).
tcf(c_67537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sz00)
| ( sdtpldt0(sz10,xn) = sz00 )
| ( sK1(sdtpldt0(sz10,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(superposition,[status(thm)],[c_7915,c_102]) ).
tcf(c_67538,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(sz10,xn),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7915,c_107]) ).
tcf(c_67539,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(sz10,xn),sz00)))
| ( sdtpldt0(sz10,xn) = X0 )
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(superposition,[status(thm)],[c_7915,c_104]) ).
tcf(c_67540,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = sz00 )
| ( sK1(sdtpldt0(sz10,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00))
| ( sdtasdt0(sdtpldt0(sz10,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7915,c_106]) ).
tcf(c_67541,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xn),X0))
| ( sdtpldt0(sz10,xn) = sz00 )
| ( sK1(sdtpldt0(sz10,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(sz10,xn),sz00),X0) ),
inference(superposition,[status(thm)],[c_7915,c_102]) ).
tcf(c_67542,plain,
( ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67536,c_22871,c_5707]) ).
tcf(c_67547,plain,
! [X0: $i] :
( ( sK1(sdtpldt0(sz10,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00))
| ( sdtasdt0(sdtpldt0(sz10,xn),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67540,c_5820,c_5707]) ).
tcf(c_67552,plain,
! [X0: $i] :
( ( sdtpldt0(sz10,xn) = X0 )
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00))
| ( sdtasdt0(X0,sK1(sdtpldt0(sz10,xn),sz00)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67538,c_5707]) ).
tcf(c_67565,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67532,c_4997,c_5707]) ).
tcf(c_67571,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(sz10,xn),X0))
| ( sK1(sdtpldt0(sz10,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00))
| ~ sdtlseqdt0(sK1(sdtpldt0(sz10,xn),sz00),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67541,c_5820,c_5707]) ).
tcf(c_67577,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sK1(sdtpldt0(sz10,xn),sz00)))
| ( sdtpldt0(sz10,xn) = X0 )
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67539,c_5707]) ).
tcf(c_67584,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sz00)
| ( sK1(sdtpldt0(sz10,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67537,c_5820,c_5707]) ).
tcf(c_67590,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(sz10,xn),sz00)),sz00)
| ( sdtpldt0(sz10,xn) = X0 )
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67524,c_5707]) ).
tcf(c_67597,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(sz10,xn),X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK1(sdtpldt0(sz10,xn),sz00) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00))
| ~ sdtlseqdt0(X0,sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67529,c_5820,c_4997,c_5707]) ).
tcf(c_67605,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sK1(sdtpldt0(sz10,xn),sz00)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,xn) = X0 )
| ( sK1(sdtpldt0(sz10,xn),sz00) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sK1(sdtpldt0(sz10,xn),sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67528,c_4997,c_5707]) ).
tcf(c_67618,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64497,c_127]) ).
tcf(c_67620,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64497,c_41968]) ).
tcf(c_67621,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xn,xr),X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64497,c_38665]) ).
tcf(c_67622,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64497,c_35501]) ).
tcf(c_67623,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64497,c_25716]) ).
tcf(c_67625,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_64497,c_128]) ).
tcf(c_67626,plain,
( ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64497,c_84]) ).
tcf(c_67627,plain,
( iLess0(xr,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( sdtasdt0(xn,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64497,c_96]) ).
tcf(c_67628,plain,
( iLess0(xr,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( sdtasdt0(xn,xr) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67627,c_66,c_64495]) ).
tcf(c_67632,plain,
( ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67626,c_66,c_64495]) ).
tcf(c_67635,plain,
( ( xn = sz00 )
| ( sdtasdt0(xn,xr) = xr )
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67625,c_66,c_64495]) ).
tcf(c_67639,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67618,c_66,c_64495]) ).
tcf(c_67644,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67622,c_66,c_64495]) ).
tcf(c_67649,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xn,xr),X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67621,c_66,c_64495]) ).
tcf(c_67655,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67620,c_66,c_64495]) ).
tcf(c_67662,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67623,c_66,c_64495]) ).
tcf(c_67720,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62769,c_104]) ).
tcf(c_67721,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62769,c_65238]) ).
tcf(c_67722,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62769,c_28161]) ).
tcf(c_67723,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62769,c_23072]) ).
tcf(c_67724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_62769,c_16382]) ).
tcf(c_67725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62769,c_16055]) ).
tcf(c_67730,plain,
( doDivides0(sz10,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62769,c_185]) ).
tcf(c_67732,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62769,c_100]) ).
tcf(c_67733,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xm))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62769,c_102]) ).
tcf(c_67734,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(X0,sdtasdt0(xn,xm)) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_62769,c_107]) ).
tcf(c_67735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62769,c_104]) ).
tcf(c_67736,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_62769,c_106]) ).
tcf(c_67737,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_62769,c_102]) ).
tcf(c_67738,plain,
doDivides0(sz10,sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_67730,c_138,c_62530]) ).
tcf(c_67739,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67732,c_138,c_62530]) ).
tcf(c_67742,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67721,c_138,c_62530]) ).
tcf(c_67746,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67736,c_139,c_138,c_62530]) ).
tcf(c_67750,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xm)) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67734,c_138,c_62530]) ).
tcf(c_67755,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sz10,X0))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67737,c_139,c_138,c_62530]) ).
tcf(c_67760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67735,c_138,c_62530]) ).
tcf(c_67766,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67733,c_139,c_138,c_62530]) ).
tcf(c_67771,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67720,c_138,c_62530]) ).
tcf(c_67777,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67723,c_138,c_62530]) ).
tcf(c_67783,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67722,c_138,c_62530]) ).
tcf(c_67789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67725,c_139,c_138,c_62530]) ).
tcf(c_67797,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67724,c_138,c_62530]) ).
tcf(c_67854,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67738,c_130]) ).
tcf(c_67855,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xm),sz10)) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67738,c_133]) ).
tcf(c_67857,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67738,c_99]) ).
tcf(c_67859,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67738,c_114]) ).
tcf(c_67860,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67859,c_138,c_62530]) ).
tcf(c_67864,plain,
sdtasdt0(sz10,sK1(sz10,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_67857,c_138,c_62530]) ).
tcf(c_67865,plain,
sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xm),sz10)) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_67855,c_139,c_138,c_62530]) ).
tcf(c_67866,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67854,c_139,c_138,c_62530]) ).
tcf(c_67871,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xm))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62770,c_104]) ).
tcf(c_67872,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62770,c_65238]) ).
tcf(c_67873,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62770,c_28161]) ).
tcf(c_67874,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62770,c_23072]) ).
tcf(c_67875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62770,c_16382]) ).
tcf(c_67876,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_62770,c_16055]) ).
tcf(c_67879,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_62770,c_9145]) ).
tcf(c_67881,plain,
( doDivides0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62770,c_185]) ).
tcf(c_67883,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62770,c_100]) ).
tcf(c_67884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62770,c_102]) ).
tcf(c_67885,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_62770,c_107]) ).
tcf(c_67886,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_62770,c_104]) ).
tcf(c_67887,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_62770,c_106]) ).
tcf(c_67888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62770,c_102]) ).
tcf(c_67889,plain,
doDivides0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_67881,c_138,c_62530]) ).
tcf(c_67890,plain,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_67883,c_139,c_138,c_62530]) ).
tcf(c_67891,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67872,c_139,c_138,c_62530]) ).
tcf(c_67894,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67885,c_139,c_138,c_62530]) ).
tcf(c_67898,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67887,c_138,c_62530]) ).
tcf(c_67903,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67888,c_138,c_62530]) ).
tcf(c_67909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(X0,sz10))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67886,c_139,c_138,c_62530]) ).
tcf(c_67914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67884,c_138,c_62530]) ).
tcf(c_67920,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67871,c_139,c_138,c_62530]) ).
tcf(c_67925,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67874,c_139,c_138,c_62530]) ).
tcf(c_67930,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67873,c_139,c_138,c_62530]) ).
tcf(c_67935,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67879,c_139,c_138,c_62530]) ).
tcf(c_67940,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67876,c_138,c_62530]) ).
tcf(c_67949,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67875,c_139,c_138,c_62530]) ).
tcf(c_67964,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67889,c_130]) ).
tcf(c_67965,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67889,c_133]) ).
tcf(c_67967,plain,
( ( sdtasdt0(sdtasdt0(xn,xm),sK1(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67889,c_99]) ).
tcf(c_67970,plain,
sdtasdt0(sdtasdt0(xn,xm),sK1(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_67967,c_62530]) ).
tcf(c_67971,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xm),sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67965,c_62530]) ).
tcf(c_67974,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67964,c_62530]) ).
tcf(c_67981,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67890,c_41968]) ).
tcf(c_67982,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xn,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67890,c_38665]) ).
tcf(c_67983,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67890,c_35501]) ).
tcf(c_67984,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67890,c_25716]) ).
tcf(c_67985,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_67890,c_7926]) ).
tcf(c_67987,plain,
( ( sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67890,c_84]) ).
tcf(c_67989,plain,
sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_67987,c_62530]) ).
tcf(c_67990,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67983,c_62530]) ).
tcf(c_67994,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xn,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67982,c_62530]) ).
tcf(c_68000,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67981,c_62530]) ).
tcf(c_68006,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67984,c_62530]) ).
tcf(c_68017,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44353,c_127]) ).
tcf(c_68024,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44353,c_128]) ).
tcf(c_68026,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xp)
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44353,c_96]) ).
tcf(c_68027,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44353,c_41532]) ).
tcf(c_68030,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),xp)
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68026,c_51]) ).
tcf(c_68035,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xp )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68024,c_51]) ).
tcf(c_68040,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68017,c_51]) ).
tcf(c_68046,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xp,X0))
| ( sdtsldt0(xn,xr) = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68027,c_51]) ).
tcf(c_68075,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(global_subsumption_just,[status(thm)],[c_67935,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_67935]) ).
tcf(c_68083,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_68075,c_127]) ).
tcf(c_68088,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_68075,c_25716]) ).
tcf(c_68089,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_68075,c_7926]) ).
tcf(c_68090,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_68075,c_128]) ).
tcf(c_68091,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_68075,c_84]) ).
tcf(c_68092,plain,
( iLess0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_68075,c_96]) ).
tcf(c_68093,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_68075,c_45159]) ).
tcf(c_68094,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68093,c_62530]) ).
tcf(c_68101,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68083,c_62530]) ).
tcf(c_68108,plain,
( iLess0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68092,c_62530]) ).
tcf(c_68114,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68091,c_62530]) ).
tcf(c_68119,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68090,c_62530]) ).
tcf(c_68125,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68088,c_62530]) ).
tcf(c_68175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_57164,c_127]) ).
tcf(c_68176,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_44165]) ).
tcf(c_68177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,X3)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_41968]) ).
tcf(c_68178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X3))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_38665]) ).
tcf(c_68179,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_35501]) ).
tcf(c_68180,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_25716]) ).
tcf(c_68181,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_7926]) ).
tcf(c_68182,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_57164,c_128]) ).
tcf(c_68183,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_84]) ).
tcf(c_68184,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_96]) ).
tcf(c_68185,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_6493]) ).
tcf(c_68186,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_45184]) ).
tcf(c_68190,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_45159]) ).
tcf(c_68192,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7284]) ).
tcf(c_68194,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7304]) ).
tcf(c_68196,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7296]) ).
tcf(c_68197,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7292]) ).
tcf(c_68198,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_11265]) ).
tcf(c_68200,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_56]) ).
tcf(c_68202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_57164,c_127]) ).
tcf(c_68203,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_44165]) ).
tcf(c_68204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_41968]) ).
tcf(c_68205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X2,X3))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_38665]) ).
tcf(c_68206,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_35501]) ).
tcf(c_68207,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_25716]) ).
tcf(c_68208,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_7926]) ).
tcf(c_68209,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_57164,c_128]) ).
tcf(c_68210,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,X2)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_84]) ).
tcf(c_68211,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_96]) ).
tcf(c_68213,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xk,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_6496]) ).
tcf(c_68218,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_45184]) ).
tcf(c_68221,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7322]) ).
tcf(c_68222,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_41532]) ).
tcf(c_68223,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_34545]) ).
tcf(c_68239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57164,c_13445]) ).
tcf(c_68240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57164,c_13129]) ).
tcf(c_68241,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57164,c_8360]) ).
tcf(c_68242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57164,c_16382]) ).
tcf(c_68243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57164,c_16055]) ).
tcf(c_68244,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57164,c_9145]) ).
tcf(c_68245,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_8126]) ).
tcf(c_68246,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_57164,c_8121]) ).
tcf(c_68247,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_8105]) ).
tcf(c_68248,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_57164,c_8338]) ).
tcf(c_68249,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_57164,c_9120]) ).
tcf(c_68250,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_57164,c_8404]) ).
tcf(c_68251,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_11272]) ).
tcf(c_68252,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xn,X1),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_11265]) ).
tcf(c_68253,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_57164,c_14142]) ).
tcf(c_68254,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_21055]) ).
tcf(c_68255,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_57164,c_23029]) ).
tcf(c_68256,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_67308]) ).
tcf(c_68257,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_64947]) ).
tcf(c_68258,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_63077]) ).
tcf(c_68259,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_58879]) ).
tcf(c_68260,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_56156]) ).
tcf(c_68261,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_56051]) ).
tcf(c_68262,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_36114]) ).
tcf(c_68263,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X1 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_32166]) ).
tcf(c_68264,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_29318]) ).
tcf(c_68265,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_24826]) ).
tcf(c_68266,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_24700]) ).
tcf(c_68267,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_24504]) ).
tcf(c_68268,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_24468]) ).
tcf(c_68269,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_24435]) ).
tcf(c_68270,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_24256]) ).
tcf(c_68271,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_57164,c_23651]) ).
tcf(c_68272,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_26250]) ).
tcf(c_68274,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_57164,c_23760]) ).
tcf(c_68275,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_29015]) ).
tcf(c_68276,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_57164,c_29717]) ).
tcf(c_68277,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_30084]) ).
tcf(c_68278,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_30403]) ).
tcf(c_68282,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_41484]) ).
tcf(c_68283,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_57164,c_41508]) ).
tcf(c_68286,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_56823]) ).
tcf(c_68288,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_65068]) ).
tcf(c_68289,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_57164,c_65153]) ).
tcf(c_68292,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_75]) ).
tcf(c_68293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_57164,c_127]) ).
tcf(c_68294,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_44165]) ).
tcf(c_68295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_41968]) ).
tcf(c_68296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X3))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_38665]) ).
tcf(c_68297,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_35501]) ).
tcf(c_68298,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_25716]) ).
tcf(c_68299,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_7926]) ).
tcf(c_68300,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_57164,c_128]) ).
tcf(c_68301,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_84]) ).
tcf(c_68302,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| iLess0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_96]) ).
tcf(c_68303,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_6483]) ).
tcf(c_68306,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_6490]) ).
tcf(c_68308,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_19454]) ).
tcf(c_68309,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_45184]) ).
tcf(c_68310,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7326]) ).
tcf(c_68311,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_13991]) ).
tcf(c_68312,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7322]) ).
tcf(c_68313,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_41532]) ).
tcf(c_68314,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_34545]) ).
tcf(c_68316,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_45159]) ).
tcf(c_68317,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_35468]) ).
tcf(c_68318,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7288]) ).
tcf(c_68319,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7284]) ).
tcf(c_68321,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_19224]) ).
tcf(c_68322,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7308]) ).
tcf(c_68323,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7304]) ).
tcf(c_68324,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7300]) ).
tcf(c_68325,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7296]) ).
tcf(c_68326,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_7292]) ).
tcf(c_68327,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_57164,c_18902]) ).
tcf(c_68328,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_22117]) ).
tcf(c_68330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57164,c_13445]) ).
tcf(c_68331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57164,c_13129]) ).
tcf(c_68332,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57164,c_8360]) ).
tcf(c_68333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57164,c_16382]) ).
tcf(c_68334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57164,c_16055]) ).
tcf(c_68335,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57164,c_9145]) ).
tcf(c_68336,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_8126]) ).
tcf(c_68337,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_57164,c_8121]) ).
tcf(c_68338,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_8105]) ).
tcf(c_68339,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_57164,c_8338]) ).
tcf(c_68340,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_57164,c_9120]) ).
tcf(c_68341,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_57164,c_8404]) ).
tcf(c_68342,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_11272]) ).
tcf(c_68343,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_11265]) ).
tcf(c_68344,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_57164,c_14142]) ).
tcf(c_68345,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_21055]) ).
tcf(c_68346,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_57164,c_23029]) ).
tcf(c_68347,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_67308]) ).
tcf(c_68348,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_64947]) ).
tcf(c_68349,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_63077]) ).
tcf(c_68350,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_58879]) ).
tcf(c_68351,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_56156]) ).
tcf(c_68352,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_56051]) ).
tcf(c_68353,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_36114]) ).
tcf(c_68354,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X1 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_32166]) ).
tcf(c_68355,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_29318]) ).
tcf(c_68356,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_24826]) ).
tcf(c_68357,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_24700]) ).
tcf(c_68358,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_24504]) ).
tcf(c_68359,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_24468]) ).
tcf(c_68360,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_24435]) ).
tcf(c_68361,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_24256]) ).
tcf(c_68362,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_57164,c_23651]) ).
tcf(c_68363,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_26250]) ).
tcf(c_68364,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_57164,c_24316]) ).
tcf(c_68365,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_57164,c_23760]) ).
tcf(c_68366,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_29015]) ).
tcf(c_68367,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_57164,c_29717]) ).
tcf(c_68368,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_30084]) ).
tcf(c_68369,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_30403]) ).
tcf(c_68370,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_34312]) ).
tcf(c_68371,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_36606]) ).
tcf(c_68372,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_37979]) ).
tcf(c_68373,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_41484]) ).
tcf(c_68374,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_57164,c_41508]) ).
tcf(c_68375,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_46299]) ).
tcf(c_68376,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_57164,c_47599]) ).
tcf(c_68377,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_56823]) ).
tcf(c_68378,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_58797]) ).
tcf(c_68379,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_65068]) ).
tcf(c_68380,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_57164,c_65153]) ).
tcf(c_68381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X3,X1)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_127]) ).
tcf(c_68384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X3))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_38665]) ).
tcf(c_68386,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_25716]) ).
tcf(c_68388,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X2,X0)
| sdtlseqdt0(X1,X2)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_57164,c_128]) ).
tcf(c_68389,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_84]) ).
tcf(c_68390,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| iLess0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_96]) ).
tcf(c_68394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_45159]) ).
tcf(c_68395,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_11272]) ).
tcf(c_68396,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_57164,c_24316]) ).
tcf(c_68400,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(equality_factoring,[status(thm)],[c_57164]) ).
tcf(c_68404,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(equality_factoring,[status(thm)],[c_57164]) ).
tcf(c_68406,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(equality_factoring,[status(thm)],[c_57164]) ).
tcf(c_68408,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(equality_factoring,[status(thm)],[c_57164]) ).
tcf(c_68414,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68400,c_49]) ).
tcf(c_68423,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xk,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68213,c_51]) ).
tcf(c_68437,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68326,c_134]) ).
tcf(c_68445,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68325,c_134]) ).
tcf(c_68453,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68324,c_134]) ).
tcf(c_68461,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68323,c_134]) ).
tcf(c_68469,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68322,c_134]) ).
tcf(c_68477,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68319,c_138]) ).
tcf(c_68485,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68318,c_138]) ).
tcf(c_68493,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68312,c_50]) ).
tcf(c_68501,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68310,c_49]) ).
tcf(c_68509,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68221,c_50]) ).
tcf(c_68517,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68406,c_49]) ).
tcf(c_68524,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68378,c_134,c_49199]) ).
tcf(c_68530,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68376,c_134,c_41228]) ).
tcf(c_68536,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68375,c_134,c_41038]) ).
tcf(c_68542,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68372,c_134,c_30349]) ).
tcf(c_68548,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68371,c_134,c_30030]) ).
tcf(c_68554,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68370,c_134,c_28961]) ).
tcf(c_68560,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68328,c_134,c_5662]) ).
tcf(c_68566,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68327,c_134,c_5447]) ).
tcf(c_68572,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68306,c_134,c_50]) ).
tcf(c_68579,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68292,c_49]) ).
tcf(c_68586,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68185,c_134]) ).
tcf(c_68678,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68377,c_49,c_49199]) ).
tcf(c_68685,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68374,c_49,c_41228]) ).
tcf(c_68692,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68373,c_49,c_41038]) ).
tcf(c_68699,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68286,c_49,c_49199]) ).
tcf(c_68706,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68283,c_49,c_41228]) ).
tcf(c_68713,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68282,c_49,c_41038]) ).
tcf(c_68758,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68184,c_49]) ).
tcf(c_68768,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68309,c_49]) ).
tcf(c_68778,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68218,c_49]) ).
tcf(c_68788,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68186,c_49]) ).
tcf(c_68798,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68183,c_49]) ).
tcf(c_68807,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68182,c_49]) ).
tcf(c_68817,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68179,c_49]) ).
tcf(c_68827,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68311,c_49]) ).
tcf(c_68835,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68380,c_49,c_62887]) ).
tcf(c_68843,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68379,c_49,c_62530]) ).
tcf(c_68861,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68289,c_49,c_62887]) ).
tcf(c_68869,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68288,c_49,c_62530]) ).
tcf(c_68887,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68176,c_49]) ).
tcf(c_68897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68175,c_49]) ).
tcf(c_68918,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68369,c_49,c_30349]) ).
tcf(c_68926,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68368,c_49,c_30030]) ).
tcf(c_68934,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68366,c_49,c_28961]) ).
tcf(c_68942,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68338,c_49,c_5662]) ).
tcf(c_68950,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68337,c_49,c_5447]) ).
tcf(c_68958,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68336,c_49,c_5404]) ).
tcf(c_68987,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68278,c_49,c_30349]) ).
tcf(c_68995,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68277,c_49,c_30030]) ).
tcf(c_69003,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68275,c_49,c_28961]) ).
tcf(c_69011,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68247,c_49,c_5662]) ).
tcf(c_69019,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68246,c_49,c_5447]) ).
tcf(c_69027,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68245,c_49,c_5404]) ).
tcf(c_69096,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68339,c_49]) ).
tcf(c_69105,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68248,c_49]) ).
tcf(c_69114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X3))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68178,c_49]) ).
tcf(c_69178,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68181,c_49]) ).
tcf(c_69189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,X3)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68177,c_49]) ).
tcf(c_69212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68317,c_66,c_49]) ).
tcf(c_69241,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68190,c_49]) ).
tcf(c_69252,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68365,c_49,c_23711]) ).
tcf(c_69260,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68345,c_49,c_21011]) ).
tcf(c_69268,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68344,c_49,c_14098]) ).
tcf(c_69276,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68341,c_49,c_5784]) ).
tcf(c_69284,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68340,c_49]) ).
tcf(c_69294,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68332,c_49]) ).
tcf(c_69305,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68274,c_49,c_23711]) ).
tcf(c_69313,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68254,c_49,c_21011]) ).
tcf(c_69321,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68253,c_49,c_14098]) ).
tcf(c_69329,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68250,c_49,c_5784]) ).
tcf(c_69337,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68249,c_49]) ).
tcf(c_69347,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68241,c_49]) ).
tcf(c_69358,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68180,c_49]) ).
tcf(c_69406,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68335,c_49]) ).
tcf(c_69418,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68244,c_49]) ).
tcf(c_69430,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68367,c_49,c_29666]) ).
tcf(c_69438,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68276,c_49,c_29666]) ).
tcf(c_69446,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68198,c_49]) ).
tcf(c_69466,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68346,c_49]) ).
tcf(c_69477,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68255,c_49]) ).
tcf(c_69488,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68363,c_49]) ).
tcf(c_69498,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68358,c_49]) ).
tcf(c_69508,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68272,c_49]) ).
tcf(c_69518,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68267,c_49]) ).
tcf(c_69528,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68362,c_49]) ).
tcf(c_69538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68331,c_49]) ).
tcf(c_69552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68330,c_49]) ).
tcf(c_69566,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68271,c_49]) ).
tcf(c_69576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68240,c_49]) ).
tcf(c_69590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68239,c_49]) ).
tcf(c_69604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68334,c_49]) ).
tcf(c_69619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68333,c_49]) ).
tcf(c_69634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68243,c_49]) ).
tcf(c_69649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68242,c_49]) ).
tcf(c_69664,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68356,c_49]) ).
tcf(c_69676,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68355,c_49]) ).
tcf(c_69688,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68350,c_49]) ).
tcf(c_69700,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68265,c_49]) ).
tcf(c_69712,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68264,c_49]) ).
tcf(c_69724,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68259,c_49]) ).
tcf(c_69736,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68352,c_49]) ).
tcf(c_69748,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68261,c_49]) ).
tcf(c_69771,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68361,c_49]) ).
tcf(c_69783,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68270,c_49]) ).
tcf(c_69795,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68359,c_49]) ).
tcf(c_69806,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68351,c_49]) ).
tcf(c_69817,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68347,c_49]) ).
tcf(c_69830,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68268,c_49]) ).
tcf(c_69841,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68260,c_49]) ).
tcf(c_69852,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68256,c_49]) ).
tcf(c_69865,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68360,c_49]) ).
tcf(c_69875,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68269,c_49]) ).
tcf(c_69885,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68357,c_49]) ).
tcf(c_69897,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68349,c_49]) ).
tcf(c_69911,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68266,c_49]) ).
tcf(c_69923,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68258,c_49]) ).
tcf(c_69948,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68348,c_49]) ).
tcf(c_69960,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68257,c_49]) ).
tcf(c_69972,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X1 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68354,c_49]) ).
tcf(c_69986,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X1 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68263,c_49]) ).
tcf(c_70000,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68353,c_49]) ).
tcf(c_70013,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68262,c_49]) ).
tcf(c_70465,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(global_subsumption_just,[status(thm)],[c_68299,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_8012,c_20026,c_33249]) ).
tcf(c_70491,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_68396]) ).
tcf(c_70492,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_68396]) ).
tcf(c_70493,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_68396]) ).
tcf(c_70494,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_68396]) ).
tcf(c_70495,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_68396]) ).
tcf(c_70496,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_68396]) ).
tcf(c_70497,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_68396]) ).
tcf(c_70498,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_68396]) ).
tcf(c_70500,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_68396]) ).
tcf(c_70501,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_68396]) ).
tcf(c_70502,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_68396]) ).
tcf(c_70503,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_68396]) ).
tcf(c_70504,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_68396]) ).
tcf(c_70516,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70503,c_49]) ).
tcf(c_70528,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70497,c_49]) ).
tcf(c_70541,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70496,c_49]) ).
tcf(c_70554,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70495,c_49]) ).
tcf(c_70567,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70502,c_49]) ).
tcf(c_70580,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70493,c_49]) ).
tcf(c_70594,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70498,c_49]) ).
tcf(c_70608,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70492,c_49]) ).
tcf(c_70623,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70491,c_49]) ).
tcf(c_70638,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70501,c_49]) ).
tcf(c_70653,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70500,c_49]) ).
tcf(c_70668,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70494,c_49]) ).
tcf(c_70681,plain,
sdtasdt0(xp,sdtsldt0(xp,xp)) = xp,
inference(global_subsumption_just,[status(thm)],[c_9814,c_1631,c_9814]) ).
tcf(c_70683,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xp,xp)),xp)
| ( X0 = xp )
| ( sdtsldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_70681,c_104]) ).
tcf(c_70696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( xp = sz00 )
| ( sdtsldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_70681,c_102]) ).
tcf(c_70697,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ( sdtasdt0(X0,sdtsldt0(xp,xp)) != xp ) ),
inference(superposition,[status(thm)],[c_70681,c_107]) ).
tcf(c_70698,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sdtsldt0(xp,xp)))
| ( X0 = xp )
| ( sdtsldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp)) ),
inference(superposition,[status(thm)],[c_70681,c_104]) ).
tcf(c_70699,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtsldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ( sdtasdt0(xp,X0) != xp ) ),
inference(superposition,[status(thm)],[c_70681,c_106]) ).
tcf(c_70700,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sdtsldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ sdtlseqdt0(sdtsldt0(xp,xp),X0) ),
inference(superposition,[status(thm)],[c_70681,c_102]) ).
tcf(c_70701,plain,
! [X0: $i] :
( ( sdtsldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ( sdtasdt0(xp,X0) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70699,c_27861,c_51]) ).
tcf(c_70706,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ( sdtasdt0(X0,sdtsldt0(xp,xp)) != xp ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70697,c_51]) ).
tcf(c_70712,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(xp,X0))
| ( sdtsldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ sdtlseqdt0(sdtsldt0(xp,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70700,c_27861,c_51]) ).
tcf(c_70718,plain,
! [X0: $i] :
( sdtlseqdt0(xp,sdtasdt0(X0,sdtsldt0(xp,xp)))
| ( X0 = xp )
| ( sdtsldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70698,c_51]) ).
tcf(c_70725,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),xp)
| ( sdtsldt0(xp,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xp,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70696,c_27861,c_51]) ).
tcf(c_70731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xp,xp)),xp)
| ( X0 = xp )
| ( sdtsldt0(xp,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xp,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70683,c_51]) ).
tcf(c_70743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62773,c_81]) ).
tcf(c_70750,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_62773,c_13445]) ).
tcf(c_70751,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62773,c_13129]) ).
tcf(c_70757,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62773,c_188]) ).
tcf(c_70759,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_62773,c_79]) ).
tcf(c_70760,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62773,c_79]) ).
tcf(c_70761,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtpldt0(X0,sdtasdt0(xn,xm)) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_62773,c_88]) ).
tcf(c_70763,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62773,c_81]) ).
tcf(c_70764,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_62773,c_87]) ).
tcf(c_70765,plain,
sdtlseqdt0(sz00,sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_70757,c_134,c_62530]) ).
tcf(c_70766,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70764,c_134,c_62530]) ).
tcf(c_70770,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,xm)) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70761,c_134,c_62530]) ).
tcf(c_70774,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sdtasdt0(xn,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70763,c_134,c_62530]) ).
tcf(c_70779,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xm)),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70743,c_134,c_62530]) ).
tcf(c_70784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70760,c_134,c_62530]) ).
tcf(c_70789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70759,c_134,c_62530]) ).
tcf(c_70794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70750,c_134,c_62530]) ).
tcf(c_70802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70751,c_134,c_62530]) ).
tcf(c_70814,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_70765,c_127]) ).
tcf(c_70821,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sz00) ),
inference(superposition,[status(thm)],[c_70765,c_128]) ).
tcf(c_70822,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_70765,c_84]) ).
tcf(c_70823,plain,
( iLess0(sz00,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_70765,c_96]) ).
tcf(c_70824,plain,
( iLess0(sz00,sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70823,c_134,c_62530]) ).
tcf(c_70827,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_70822,c_134,c_62530]) ).
tcf(c_70828,plain,
( ( sdtasdt0(xn,xm) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70821,c_134,c_62530]) ).
tcf(c_70831,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70814,c_134,c_62530]) ).
tcf(c_70835,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62774,c_81]) ).
tcf(c_70841,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62774,c_21679]) ).
tcf(c_70842,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62774,c_13445]) ).
tcf(c_70843,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_62774,c_13129]) ).
tcf(c_70846,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_62774,c_8360]) ).
tcf(c_70851,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62774,c_79]) ).
tcf(c_70852,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62774,c_79]) ).
tcf(c_70853,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_62774,c_88]) ).
tcf(c_70855,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(superposition,[status(thm)],[c_62774,c_81]) ).
tcf(c_70856,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ( sdtpldt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(superposition,[status(thm)],[c_62774,c_87]) ).
tcf(c_70857,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70856,c_134,c_62530]) ).
tcf(c_70861,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70853,c_134,c_62530]) ).
tcf(c_70865,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70852,c_134,c_62530]) ).
tcf(c_70870,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(sdtasdt0(xn,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70851,c_134,c_62530]) ).
tcf(c_70875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70855,c_134,c_62530]) ).
tcf(c_70880,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xm))
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70835,c_134,c_62530]) ).
tcf(c_70887,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70843,c_134,c_62530]) ).
tcf(c_70895,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70842,c_134,c_62530]) ).
tcf(c_70963,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sdtasdt0(xn,xp))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64261,c_104]) ).
tcf(c_70964,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64261,c_65238]) ).
tcf(c_70965,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64261,c_28161]) ).
tcf(c_70966,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64261,c_23072]) ).
tcf(c_70967,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_64261,c_16382]) ).
tcf(c_70968,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64261,c_16055]) ).
tcf(c_70973,plain,
( doDivides0(sz10,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64261,c_185]) ).
tcf(c_70975,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64261,c_100]) ).
tcf(c_70976,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xp))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64261,c_102]) ).
tcf(c_70977,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtasdt0(X0,sdtasdt0(xn,xp)) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_64261,c_107]) ).
tcf(c_70978,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(X0,sdtasdt0(xn,xp)))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64261,c_104]) ).
tcf(c_70979,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_64261,c_106]) ).
tcf(c_70980,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_64261,c_102]) ).
tcf(c_70981,plain,
doDivides0(sz10,sdtasdt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_70973,c_138,c_62887]) ).
tcf(c_70982,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70975,c_138,c_62887]) ).
tcf(c_70985,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70964,c_138,c_62887]) ).
tcf(c_70989,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70979,c_139,c_138,c_62887]) ).
tcf(c_70993,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xp)) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70977,c_138,c_62887]) ).
tcf(c_70998,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(sz10,X0))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70980,c_139,c_138,c_62887]) ).
tcf(c_71003,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(X0,sdtasdt0(xn,xp)))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70978,c_138,c_62887]) ).
tcf(c_71009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70976,c_139,c_138,c_62887]) ).
tcf(c_71014,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sdtasdt0(xn,xp))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70963,c_138,c_62887]) ).
tcf(c_71020,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70966,c_138,c_62887]) ).
tcf(c_71026,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70965,c_138,c_62887]) ).
tcf(c_71032,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70968,c_139,c_138,c_62887]) ).
tcf(c_71040,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70967,c_138,c_62887]) ).
tcf(c_71102,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xp),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_70981,c_130]) ).
tcf(c_71103,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xp),sz10)) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_70981,c_133]) ).
tcf(c_71105,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_70981,c_99]) ).
tcf(c_71107,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_70981,c_114]) ).
tcf(c_71108,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71107,c_138,c_62887]) ).
tcf(c_71112,plain,
sdtasdt0(sz10,sK1(sz10,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_71105,c_138,c_62887]) ).
tcf(c_71113,plain,
sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xp),sz10)) = sdtasdt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_71103,c_139,c_138,c_62887]) ).
tcf(c_71114,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xp),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71102,c_139,c_138,c_62887]) ).
tcf(c_71143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_57570,c_127]) ).
tcf(c_71144,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_44165]) ).
tcf(c_71145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X3)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_41968]) ).
tcf(c_71146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X3))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_38665]) ).
tcf(c_71147,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_35501]) ).
tcf(c_71148,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_25716]) ).
tcf(c_71149,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_7926]) ).
tcf(c_71150,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(superposition,[status(thm)],[c_57570,c_128]) ).
tcf(c_71151,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_84]) ).
tcf(c_71152,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_96]) ).
tcf(c_71153,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_6483]) ).
tcf(c_71154,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_45184]) ).
tcf(c_71156,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_13991]) ).
tcf(c_71158,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_45159]) ).
tcf(c_71161,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_7308]) ).
tcf(c_71162,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_7304]) ).
tcf(c_71166,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sz10),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_11265]) ).
tcf(c_71168,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_56]) ).
tcf(c_71169,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_75]) ).
tcf(c_71170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_57570,c_127]) ).
tcf(c_71171,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_44165]) ).
tcf(c_71172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_41968]) ).
tcf(c_71173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X2,X3))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_38665]) ).
tcf(c_71174,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_35501]) ).
tcf(c_71175,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_25716]) ).
tcf(c_71176,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_7926]) ).
tcf(c_71177,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_57570,c_128]) ).
tcf(c_71178,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,X2)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_84]) ).
tcf(c_71179,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_96]) ).
tcf(c_71181,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xk,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_6496]) ).
tcf(c_71186,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_45184]) ).
tcf(c_71189,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_7322]) ).
tcf(c_71190,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_41532]) ).
tcf(c_71191,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_34545]) ).
tcf(c_71207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57570,c_13445]) ).
tcf(c_71208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57570,c_13129]) ).
tcf(c_71209,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57570,c_8360]) ).
tcf(c_71210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57570,c_16382]) ).
tcf(c_71211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57570,c_16055]) ).
tcf(c_71212,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57570,c_9145]) ).
tcf(c_71213,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_57570,c_8126]) ).
tcf(c_71214,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_57570,c_8121]) ).
tcf(c_71215,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_8105]) ).
tcf(c_71216,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_57570,c_8338]) ).
tcf(c_71217,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_57570,c_9120]) ).
tcf(c_71218,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_57570,c_8404]) ).
tcf(c_71219,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_11272]) ).
tcf(c_71220,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(xn,X1),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_11265]) ).
tcf(c_71221,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_57570,c_14142]) ).
tcf(c_71222,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_21055]) ).
tcf(c_71223,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_57570,c_23029]) ).
tcf(c_71224,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_68396]) ).
tcf(c_71225,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_67308]) ).
tcf(c_71226,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_64947]) ).
tcf(c_71227,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_63077]) ).
tcf(c_71228,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_58879]) ).
tcf(c_71229,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_56156]) ).
tcf(c_71230,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_56051]) ).
tcf(c_71231,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_36114]) ).
tcf(c_71232,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X1 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_32166]) ).
tcf(c_71233,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_29318]) ).
tcf(c_71234,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_24826]) ).
tcf(c_71235,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_24700]) ).
tcf(c_71236,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_24504]) ).
tcf(c_71237,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_24468]) ).
tcf(c_71238,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_24435]) ).
tcf(c_71239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_24256]) ).
tcf(c_71240,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_57570,c_23651]) ).
tcf(c_71241,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_26250]) ).
tcf(c_71243,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_57570,c_23760]) ).
tcf(c_71244,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_57570,c_29015]) ).
tcf(c_71245,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_57570,c_29717]) ).
tcf(c_71246,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_57570,c_30084]) ).
tcf(c_71247,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_57570,c_30403]) ).
tcf(c_71251,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_41484]) ).
tcf(c_71252,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_57570,c_41508]) ).
tcf(c_71255,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_56823]) ).
tcf(c_71257,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_57570,c_65068]) ).
tcf(c_71258,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_57570,c_65153]) ).
tcf(c_71261,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_75]) ).
tcf(c_71262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_57570,c_127]) ).
tcf(c_71263,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_44165]) ).
tcf(c_71264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_41968]) ).
tcf(c_71265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X3))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_38665]) ).
tcf(c_71266,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_35501]) ).
tcf(c_71267,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_25716]) ).
tcf(c_71268,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_7926]) ).
tcf(c_71269,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_57570,c_128]) ).
tcf(c_71270,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_84]) ).
tcf(c_71271,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| iLess0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_96]) ).
tcf(c_71274,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_6493]) ).
tcf(c_71275,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_6490]) ).
tcf(c_71278,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_45184]) ).
tcf(c_71279,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_7326]) ).
tcf(c_71280,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_13991]) ).
tcf(c_71281,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_7322]) ).
tcf(c_71282,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_41532]) ).
tcf(c_71283,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_34545]) ).
tcf(c_71285,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_45159]) ).
tcf(c_71287,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_7288]) ).
tcf(c_71288,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_7284]) ).
tcf(c_71291,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_7308]) ).
tcf(c_71292,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_7304]) ).
tcf(c_71293,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_7300]) ).
tcf(c_71294,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_7296]) ).
tcf(c_71295,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_7292]) ).
tcf(c_71299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57570,c_13445]) ).
tcf(c_71300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57570,c_13129]) ).
tcf(c_71301,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57570,c_8360]) ).
tcf(c_71302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57570,c_16382]) ).
tcf(c_71303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57570,c_16055]) ).
tcf(c_71304,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_57570,c_9145]) ).
tcf(c_71305,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtpldt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_57570,c_8126]) ).
tcf(c_71308,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_57570,c_8338]) ).
tcf(c_71309,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_57570,c_9120]) ).
tcf(c_71310,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_57570,c_8404]) ).
tcf(c_71311,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_11272]) ).
tcf(c_71312,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_11265]) ).
tcf(c_71313,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_57570,c_14142]) ).
tcf(c_71314,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_21055]) ).
tcf(c_71315,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_57570,c_23029]) ).
tcf(c_71316,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_68396]) ).
tcf(c_71317,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_67308]) ).
tcf(c_71318,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_64947]) ).
tcf(c_71319,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_63077]) ).
tcf(c_71320,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_58879]) ).
tcf(c_71321,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_56156]) ).
tcf(c_71322,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_56051]) ).
tcf(c_71323,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_36114]) ).
tcf(c_71324,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X1 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_32166]) ).
tcf(c_71325,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_29318]) ).
tcf(c_71326,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_24826]) ).
tcf(c_71327,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_24700]) ).
tcf(c_71328,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_24504]) ).
tcf(c_71329,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_24468]) ).
tcf(c_71330,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_24435]) ).
tcf(c_71331,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_24256]) ).
tcf(c_71332,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_57570,c_23651]) ).
tcf(c_71333,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_26250]) ).
tcf(c_71334,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_57570,c_24316]) ).
tcf(c_71335,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_57570,c_23760]) ).
tcf(c_71337,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_57570,c_29717]) ).
tcf(c_71349,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_57570,c_65068]) ).
tcf(c_71350,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_57570,c_65153]) ).
tcf(c_71351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X3,X1)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_127]) ).
tcf(c_71354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X3))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_38665]) ).
tcf(c_71356,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_25716]) ).
tcf(c_71358,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X2,X0)
| sdtlseqdt0(X1,X2)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_57570,c_128]) ).
tcf(c_71359,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_84]) ).
tcf(c_71360,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| iLess0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_96]) ).
tcf(c_71364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_45159]) ).
tcf(c_71365,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_11272]) ).
tcf(c_71366,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_57570,c_24316]) ).
tcf(c_71370,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(equality_factoring,[status(thm)],[c_57570]) ).
tcf(c_71374,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(equality_factoring,[status(thm)],[c_57570]) ).
tcf(c_71376,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(equality_factoring,[status(thm)],[c_57570]) ).
tcf(c_71378,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(equality_factoring,[status(thm)],[c_57570]) ).
tcf(c_71384,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71370,c_138]) ).
tcf(c_71390,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(xk,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71181,c_51]) ).
tcf(c_71405,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71295,c_134]) ).
tcf(c_71413,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71294,c_134]) ).
tcf(c_71421,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71293,c_134]) ).
tcf(c_71429,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71292,c_134]) ).
tcf(c_71437,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71291,c_134]) ).
tcf(c_71445,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71288,c_138]) ).
tcf(c_71453,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71287,c_138]) ).
tcf(c_71461,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71281,c_50]) ).
tcf(c_71469,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71279,c_49]) ).
tcf(c_71477,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71189,c_50]) ).
tcf(c_71485,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71376,c_138]) ).
tcf(c_71492,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71275,c_134,c_50]) ).
tcf(c_71500,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71261,c_49]) ).
tcf(c_71507,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71169,c_49]) ).
tcf(c_71596,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71255,c_49,c_49199]) ).
tcf(c_71603,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71252,c_49,c_41228]) ).
tcf(c_71610,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71251,c_49,c_41038]) ).
tcf(c_71655,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71152,c_138]) ).
tcf(c_71665,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71278,c_49]) ).
tcf(c_71675,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71186,c_49]) ).
tcf(c_71685,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,X0)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71151,c_138]) ).
tcf(c_71694,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71150,c_138]) ).
tcf(c_71704,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71147,c_138]) ).
tcf(c_71714,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71280,c_49]) ).
tcf(c_71722,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtasdt0(xn,xp))
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71350,c_49,c_62887]) ).
tcf(c_71730,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtasdt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71349,c_49,c_62530]) ).
tcf(c_71748,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71258,c_49,c_62887]) ).
tcf(c_71756,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71257,c_49,c_62530]) ).
tcf(c_71774,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71144,c_138]) ).
tcf(c_71784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71143,c_138]) ).
tcf(c_71805,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtpldt0(xn,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71305,c_49,c_5404]) ).
tcf(c_71834,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71247,c_49,c_30349]) ).
tcf(c_71842,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71246,c_49,c_30030]) ).
tcf(c_71850,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71244,c_49,c_28961]) ).
tcf(c_71858,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71215,c_49,c_5662]) ).
tcf(c_71866,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71214,c_49,c_5447]) ).
tcf(c_71874,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71213,c_49,c_5404]) ).
tcf(c_71903,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71154,c_138,c_49]) ).
tcf(c_71953,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71156,c_138,c_49]) ).
tcf(c_71961,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71308,c_49]) ).
tcf(c_71970,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71216,c_49]) ).
tcf(c_71979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X3))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71146,c_138]) ).
tcf(c_72043,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71149,c_138]) ).
tcf(c_72054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X3)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71145,c_138]) ).
tcf(c_72097,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71158,c_138]) ).
tcf(c_72108,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71335,c_49,c_23711]) ).
tcf(c_72116,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xr)))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71314,c_49,c_21011]) ).
tcf(c_72124,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xp)))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71313,c_49,c_14098]) ).
tcf(c_72132,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,xm)))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71310,c_49,c_5784]) ).
tcf(c_72140,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71309,c_49]) ).
tcf(c_72150,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71301,c_49]) ).
tcf(c_72161,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71243,c_49,c_23711]) ).
tcf(c_72169,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71222,c_49,c_21011]) ).
tcf(c_72177,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71221,c_49,c_14098]) ).
tcf(c_72185,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71218,c_49,c_5784]) ).
tcf(c_72193,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71217,c_49]) ).
tcf(c_72203,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71209,c_49]) ).
tcf(c_72251,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71304,c_49]) ).
tcf(c_72263,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71212,c_49]) ).
tcf(c_72275,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71337,c_49,c_29666]) ).
tcf(c_72283,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71245,c_49,c_29666]) ).
tcf(c_72291,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_71166,c_5365]) ).
tcf(c_72292,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz10 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_72291,c_138]) ).
tcf(c_72312,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71315,c_49]) ).
tcf(c_72323,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71223,c_49]) ).
tcf(c_72334,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71333,c_49]) ).
tcf(c_72344,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71328,c_49]) ).
tcf(c_72354,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71241,c_49]) ).
tcf(c_72364,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71236,c_49]) ).
tcf(c_72374,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71332,c_49]) ).
tcf(c_72384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71300,c_49]) ).
tcf(c_72398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71299,c_49]) ).
tcf(c_72412,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71240,c_49]) ).
tcf(c_72422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71208,c_49]) ).
tcf(c_72436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71207,c_49]) ).
tcf(c_72450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71303,c_49]) ).
tcf(c_72465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71302,c_49]) ).
tcf(c_72480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71211,c_49]) ).
tcf(c_72495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71210,c_49]) ).
tcf(c_72510,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71326,c_49]) ).
tcf(c_72522,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71325,c_49]) ).
tcf(c_72534,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71320,c_49]) ).
tcf(c_72546,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71234,c_49]) ).
tcf(c_72558,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71233,c_49]) ).
tcf(c_72570,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71228,c_49]) ).
tcf(c_72582,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71322,c_49]) ).
tcf(c_72594,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71230,c_49]) ).
tcf(c_72617,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71331,c_49]) ).
tcf(c_72629,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71239,c_49]) ).
tcf(c_72641,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71329,c_49]) ).
tcf(c_72652,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71321,c_49]) ).
tcf(c_72663,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71317,c_49]) ).
tcf(c_72676,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71237,c_49]) ).
tcf(c_72687,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71229,c_49]) ).
tcf(c_72698,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71225,c_49]) ).
tcf(c_72711,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71330,c_49]) ).
tcf(c_72721,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71238,c_49]) ).
tcf(c_72731,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71327,c_49]) ).
tcf(c_72743,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71319,c_49]) ).
tcf(c_72757,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71235,c_49]) ).
tcf(c_72769,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71227,c_49]) ).
tcf(c_72794,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71318,c_49]) ).
tcf(c_72806,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71226,c_49]) ).
tcf(c_72818,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71316,c_49]) ).
tcf(c_72833,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71224,c_49]) ).
tcf(c_72848,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X1 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71324,c_49]) ).
tcf(c_72862,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X1 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71232,c_49]) ).
tcf(c_72876,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71323,c_49]) ).
tcf(c_72889,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71231,c_49]) ).
tcf(c_73267,plain,
sdtasdt0(sdtsldt0(xn,xr),xr) = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(superposition,[status(thm)],[c_51396,c_50006]) ).
tcf(c_73312,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(global_subsumption_just,[status(thm)],[c_71268,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_8012,c_33249,c_57476]) ).
tcf(c_73338,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_71366]) ).
tcf(c_73339,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_71366]) ).
tcf(c_73340,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_71366]) ).
tcf(c_73341,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_71366]) ).
tcf(c_73342,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_71366]) ).
tcf(c_73343,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_71366]) ).
tcf(c_73344,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_71366]) ).
tcf(c_73345,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_71366]) ).
tcf(c_73346,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_71366]) ).
tcf(c_73347,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_71366]) ).
tcf(c_73349,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_71366]) ).
tcf(c_73350,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_71366]) ).
tcf(c_73351,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_71366]) ).
tcf(c_73352,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_71366]) ).
tcf(c_73353,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_71366]) ).
tcf(c_73365,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73352,c_49]) ).
tcf(c_73377,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73346,c_49]) ).
tcf(c_73390,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73345,c_49]) ).
tcf(c_73403,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73344,c_49]) ).
tcf(c_73416,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73351,c_49]) ).
tcf(c_73429,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73342,c_49]) ).
tcf(c_73443,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73347,c_49]) ).
tcf(c_73457,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73341,c_49]) ).
tcf(c_73472,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73340,c_49]) ).
tcf(c_73487,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73339,c_49]) ).
tcf(c_73502,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73338,c_49]) ).
tcf(c_73517,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73350,c_49]) ).
tcf(c_73532,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73349,c_49]) ).
tcf(c_73547,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73343,c_49]) ).
tcf(c_73564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,xm)),xm)
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_9817,c_104]) ).
tcf(c_73567,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9817,c_23072]) ).
tcf(c_73568,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,xm)),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9817,c_16382]) ).
tcf(c_73569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_9817,c_16055]) ).
tcf(c_73572,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9817,c_9145]) ).
tcf(c_73577,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_9817,c_102]) ).
tcf(c_73578,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ( sdtasdt0(X0,sdtsldt0(xm,xm)) != xm ) ),
inference(superposition,[status(thm)],[c_9817,c_107]) ).
tcf(c_73579,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sdtsldt0(xm,xm)))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_9817,c_104]) ).
tcf(c_73580,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_9817,c_106]) ).
tcf(c_73581,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ sdtlseqdt0(sdtsldt0(xm,xm),X0) ),
inference(superposition,[status(thm)],[c_9817,c_102]) ).
tcf(c_73582,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ( sdtasdt0(xm,X0) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73580,c_50]) ).
tcf(c_73588,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ sdtlseqdt0(sdtsldt0(xm,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73581,c_50]) ).
tcf(c_73595,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),xm)
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73577,c_50]) ).
tcf(c_73602,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ( sdtasdt0(X0,sdtsldt0(xm,xm)) != xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73578,c_50]) ).
tcf(c_73609,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtasdt0(X0,sdtsldt0(xm,xm)))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73579,c_50]) ).
tcf(c_73617,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,xm)),xm)
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73564,c_50]) ).
tcf(c_73625,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73567,c_50]) ).
tcf(c_73633,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73572,c_50]) ).
tcf(c_73641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(xm,xm) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xm,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73569,c_50]) ).
tcf(c_73651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xm,xm)),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xm,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73568,c_50]) ).
tcf(c_73726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xp))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64262,c_104]) ).
tcf(c_73727,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64262,c_65238]) ).
tcf(c_73728,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64262,c_28161]) ).
tcf(c_73729,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64262,c_23072]) ).
tcf(c_73730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64262,c_16382]) ).
tcf(c_73731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_64262,c_16055]) ).
tcf(c_73734,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_64262,c_9145]) ).
tcf(c_73736,plain,
( doDivides0(sdtasdt0(xn,xp),sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64262,c_185]) ).
tcf(c_73738,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(xn,xp))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64262,c_100]) ).
tcf(c_73739,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xp),X0),sdtasdt0(xn,xp))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64262,c_102]) ).
tcf(c_73740,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_64262,c_107]) ).
tcf(c_73741,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_64262,c_104]) ).
tcf(c_73742,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtasdt0(sdtasdt0(xn,xp),X0) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_64262,c_106]) ).
tcf(c_73743,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(sdtasdt0(xn,xp),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64262,c_102]) ).
tcf(c_73744,plain,
doDivides0(sdtasdt0(xn,xp),sdtasdt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_73736,c_138,c_62887]) ).
tcf(c_73745,plain,
sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_73738,c_139,c_138,c_62887]) ).
tcf(c_73746,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73727,c_139,c_138,c_62887]) ).
tcf(c_73749,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73740,c_139,c_138,c_62887]) ).
tcf(c_73753,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xp),X0) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73742,c_138,c_62887]) ).
tcf(c_73758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(sdtasdt0(xn,xp),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73743,c_138,c_62887]) ).
tcf(c_73764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtasdt0(X0,sz10))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73741,c_139,c_138,c_62887]) ).
tcf(c_73769,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xp),X0),sdtasdt0(xn,xp))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73739,c_138,c_62887]) ).
tcf(c_73775,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73726,c_139,c_138,c_62887]) ).
tcf(c_73780,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73729,c_139,c_138,c_62887]) ).
tcf(c_73785,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73728,c_139,c_138,c_62887]) ).
tcf(c_73790,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73734,c_139,c_138,c_62887]) ).
tcf(c_73795,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73731,c_138,c_62887]) ).
tcf(c_73804,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73730,c_139,c_138,c_62887]) ).
tcf(c_73819,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xp),sdtasdt0(xn,xp))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sdtasdt0(xn,xp)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73744,c_130]) ).
tcf(c_73820,plain,
( ( sdtasdt0(xn,xp) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xp),sdtsldt0(sdtasdt0(xn,xp),sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73744,c_133]) ).
tcf(c_73822,plain,
( ( sdtasdt0(sdtasdt0(xn,xp),sK1(sdtasdt0(xn,xp),sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73744,c_99]) ).
tcf(c_73825,plain,
sdtasdt0(sdtasdt0(xn,xp),sK1(sdtasdt0(xn,xp),sdtasdt0(xn,xp))) = sdtasdt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_73822,c_62887]) ).
tcf(c_73826,plain,
( ( sdtasdt0(xn,xp) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xp),sdtsldt0(sdtasdt0(xn,xp),sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73820,c_62887]) ).
tcf(c_73829,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xp),sdtasdt0(xn,xp))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xp)),sdtasdt0(xn,xp)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73819,c_62887]) ).
tcf(c_73836,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73745,c_41968]) ).
tcf(c_73837,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xn,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73745,c_38665]) ).
tcf(c_73838,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73745,c_35501]) ).
tcf(c_73839,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73745,c_25716]) ).
tcf(c_73840,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_73745,c_7926]) ).
tcf(c_73842,plain,
( ( sdtpldt0(sdtasdt0(xn,xp),sK0(sdtasdt0(xn,xp),sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73745,c_84]) ).
tcf(c_73844,plain,
sdtpldt0(sdtasdt0(xn,xp),sK0(sdtasdt0(xn,xp),sdtasdt0(xn,xp))) = sdtasdt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_73842,c_62887]) ).
tcf(c_73845,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73838,c_62887]) ).
tcf(c_73849,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xn,xp),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73837,c_62887]) ).
tcf(c_73855,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73836,c_62887]) ).
tcf(c_73861,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73839,c_62887]) ).
tcf(c_73868,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xp)),sdtasdt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64265,c_81]) ).
tcf(c_73875,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xp)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_64265,c_13445]) ).
tcf(c_73876,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64265,c_13129]) ).
tcf(c_73882,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64265,c_188]) ).
tcf(c_73884,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_64265,c_79]) ).
tcf(c_73885,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64265,c_79]) ).
tcf(c_73886,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtpldt0(X0,sdtasdt0(xn,xp)) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_64265,c_88]) ).
tcf(c_73888,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(X0,sdtasdt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64265,c_81]) ).
tcf(c_73889,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_64265,c_87]) ).
tcf(c_73890,plain,
sdtlseqdt0(sz00,sdtasdt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_73882,c_134,c_62887]) ).
tcf(c_73891,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73889,c_134,c_62887]) ).
tcf(c_73895,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,xp)) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73886,c_134,c_62887]) ).
tcf(c_73899,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(X0,sdtasdt0(xn,xp)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73888,c_134,c_62887]) ).
tcf(c_73904,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xp)),sdtasdt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73868,c_134,c_62887]) ).
tcf(c_73909,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73885,c_134,c_62887]) ).
tcf(c_73914,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73884,c_134,c_62887]) ).
tcf(c_73919,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xp)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73875,c_134,c_62887]) ).
tcf(c_73927,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73876,c_134,c_62887]) ).
tcf(c_73966,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73890,c_127]) ).
tcf(c_73973,plain,
( ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(superposition,[status(thm)],[c_73890,c_128]) ).
tcf(c_73974,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73890,c_84]) ).
tcf(c_73975,plain,
( iLess0(sz00,sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73890,c_96]) ).
tcf(c_73976,plain,
( iLess0(sz00,sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73975,c_134,c_62887]) ).
tcf(c_73979,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_73974,c_134,c_62887]) ).
tcf(c_73980,plain,
( ( sdtasdt0(xn,xp) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73973,c_134,c_62887]) ).
tcf(c_73983,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73966,c_134,c_62887]) ).
tcf(c_73989,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64266,c_81]) ).
tcf(c_73995,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64266,c_21679]) ).
tcf(c_73996,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64266,c_13445]) ).
tcf(c_73997,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_64266,c_13129]) ).
tcf(c_74000,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_64266,c_8360]) ).
tcf(c_74005,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(sdtasdt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64266,c_79]) ).
tcf(c_74006,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xp),X0),sdtasdt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_64266,c_79]) ).
tcf(c_74007,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_64266,c_88]) ).
tcf(c_74009,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),X0) ),
inference(superposition,[status(thm)],[c_64266,c_81]) ).
tcf(c_74010,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ( sdtpldt0(sdtasdt0(xn,xp),X0) != sdtasdt0(xn,xp) ) ),
inference(superposition,[status(thm)],[c_64266,c_87]) ).
tcf(c_74011,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xn,xp),X0) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74010,c_134,c_62887]) ).
tcf(c_74015,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xp) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74007,c_134,c_62887]) ).
tcf(c_74019,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xp),X0),sdtasdt0(xn,xp))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74006,c_134,c_62887]) ).
tcf(c_74024,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(sdtasdt0(xn,xp),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74005,c_134,c_62887]) ).
tcf(c_74029,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74009,c_134,c_62887]) ).
tcf(c_74034,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xp))
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73989,c_134,c_62887]) ).
tcf(c_74041,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xp),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73997,c_134,c_62887]) ).
tcf(c_74049,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73996,c_134,c_62887]) ).
tcf(c_74057,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64609,c_104]) ).
tcf(c_74058,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64609,c_65238]) ).
tcf(c_74059,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64609,c_28161]) ).
tcf(c_74060,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64609,c_23072]) ).
tcf(c_74061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_64609,c_16382]) ).
tcf(c_74062,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64609,c_16055]) ).
tcf(c_74067,plain,
( doDivides0(sz10,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64609,c_185]) ).
tcf(c_74069,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64609,c_100]) ).
tcf(c_74070,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64609,c_102]) ).
tcf(c_74071,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(X0,sdtasdt0(xn,xr)) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_64609,c_107]) ).
tcf(c_74072,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64609,c_104]) ).
tcf(c_74073,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_64609,c_106]) ).
tcf(c_74074,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_64609,c_102]) ).
tcf(c_74075,plain,
doDivides0(sz10,sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_74067,c_138,c_64495]) ).
tcf(c_74076,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74069,c_138,c_64495]) ).
tcf(c_74079,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74058,c_138,c_64495]) ).
tcf(c_74083,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74073,c_139,c_138,c_64495]) ).
tcf(c_74087,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xn,xr)) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74071,c_138,c_64495]) ).
tcf(c_74092,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(sz10,X0))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74074,c_139,c_138,c_64495]) ).
tcf(c_74097,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74072,c_138,c_64495]) ).
tcf(c_74103,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74070,c_139,c_138,c_64495]) ).
tcf(c_74108,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74057,c_138,c_64495]) ).
tcf(c_74114,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74060,c_138,c_64495]) ).
tcf(c_74120,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74059,c_138,c_64495]) ).
tcf(c_74126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74062,c_139,c_138,c_64495]) ).
tcf(c_74134,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74061,c_138,c_64495]) ).
tcf(c_74229,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(global_subsumption_just,[status(thm)],[c_73790,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_73790]) ).
tcf(c_74237,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_74229,c_127]) ).
tcf(c_74242,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_74229,c_25716]) ).
tcf(c_74243,plain,
( sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_74229,c_7926]) ).
tcf(c_74244,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_74229,c_128]) ).
tcf(c_74245,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtasdt0(xn,xp),sK0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_74229,c_84]) ).
tcf(c_74246,plain,
( iLess0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_74229,c_96]) ).
tcf(c_74247,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_74229,c_45159]) ).
tcf(c_74248,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74247,c_62887]) ).
tcf(c_74255,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74237,c_62887]) ).
tcf(c_74262,plain,
( iLess0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74246,c_62887]) ).
tcf(c_74268,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtasdt0(xn,xp),sK0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74245,c_62887]) ).
tcf(c_74273,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xp) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74244,c_62887]) ).
tcf(c_74279,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74242,c_62887]) ).
tcf(c_74292,plain,
! [X0: $i] :
( iLess0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_45056,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_31063,c_33249,c_44154]) ).
tcf(c_74359,plain,
! [X0: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_46363,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_46363]) ).
tcf(c_74387,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_55]) ).
tcf(c_74388,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_56]) ).
tcf(c_74389,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_75]) ).
tcf(c_74390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_59490,c_127]) ).
tcf(c_74391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_44165]) ).
tcf(c_74392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(sz00,X3)
| sdtlseqdt0(X2,X4)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_41968]) ).
tcf(c_74393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sdtpldt0(X3,X4))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_38665]) ).
tcf(c_74394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_35501]) ).
tcf(c_74395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_25716]) ).
tcf(c_74396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_7926]) ).
tcf(c_74397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| ( X0 = X1 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_59490,c_128]) ).
tcf(c_74398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X2,sK0(X2,X3)) = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_84]) ).
tcf(c_74399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| iLess0(X2,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X2 = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_96]) ).
tcf(c_74401,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xk,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_6496]) ).
tcf(c_74406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_45184]) ).
tcf(c_74407,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7326]) ).
tcf(c_74408,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_13991]) ).
tcf(c_74409,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7322]) ).
tcf(c_74410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sdtpldt0(X2,X3))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_41532]) ).
tcf(c_74411,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_34545]) ).
tcf(c_74414,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_35468]) ).
tcf(c_74415,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7288]) ).
tcf(c_74416,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,xr)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7284]) ).
tcf(c_74417,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_19228]) ).
tcf(c_74418,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_19224]) ).
tcf(c_74427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X4,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X4)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_13445]) ).
tcf(c_74428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X4,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X4)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_13129]) ).
tcf(c_74429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_8360]) ).
tcf(c_74430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X4,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X4)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_16382]) ).
tcf(c_74431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X4,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X4)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_16055]) ).
tcf(c_74432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_9145]) ).
tcf(c_74433,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_8126]) ).
tcf(c_74434,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_59490,c_8121]) ).
tcf(c_74435,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_8105]) ).
tcf(c_74436,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_59490,c_8338]) ).
tcf(c_74437,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_59490,c_9120]) ).
tcf(c_74438,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_59490,c_8404]) ).
tcf(c_74439,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_11272]) ).
tcf(c_74440,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtpldt0(xn,X2),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_11265]) ).
tcf(c_74441,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_59490,c_14142]) ).
tcf(c_74442,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_21055]) ).
tcf(c_74443,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_59490,c_23029]) ).
tcf(c_74444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_71366]) ).
tcf(c_74445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_68396]) ).
tcf(c_74446,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_67308]) ).
tcf(c_74447,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X2)) = X2 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_64947]) ).
tcf(c_74448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_63077]) ).
tcf(c_74449,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_58879]) ).
tcf(c_74450,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_56156]) ).
tcf(c_74451,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_56051]) ).
tcf(c_74452,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X2,sK0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_36114]) ).
tcf(c_74453,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X2 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_32166]) ).
tcf(c_74454,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_29318]) ).
tcf(c_74455,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24826]) ).
tcf(c_74456,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24700]) ).
tcf(c_74457,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24504]) ).
tcf(c_74458,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24468]) ).
tcf(c_74459,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24435]) ).
tcf(c_74460,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24256]) ).
tcf(c_74461,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_59490,c_23651]) ).
tcf(c_74462,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_26250]) ).
tcf(c_74464,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_59490,c_23760]) ).
tcf(c_74465,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_29015]) ).
tcf(c_74466,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_59490,c_29717]) ).
tcf(c_74467,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_30084]) ).
tcf(c_74468,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_30403]) ).
tcf(c_74472,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_41484]) ).
tcf(c_74473,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_59490,c_41508]) ).
tcf(c_74476,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_56823]) ).
tcf(c_74478,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_65068]) ).
tcf(c_74479,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_59490,c_65153]) ).
tcf(c_74480,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_55]) ).
tcf(c_74481,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_56]) ).
tcf(c_74483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X3,X4)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_59490,c_127]) ).
tcf(c_74484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_44165]) ).
tcf(c_74485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X4)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_41968]) ).
tcf(c_74486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sdtpldt0(X0,X4))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_38665]) ).
tcf(c_74487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_35501]) ).
tcf(c_74488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_25716]) ).
tcf(c_74489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_7926]) ).
tcf(c_74490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_59490,c_128]) ).
tcf(c_74491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X1,sK0(X1,X0)) = X0 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_84]) ).
tcf(c_74492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| iLess0(X1,X0)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_96]) ).
tcf(c_74493,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_6483]) ).
tcf(c_74494,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xk,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_6496]) ).
tcf(c_74495,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_6493]) ).
tcf(c_74496,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_6490]) ).
tcf(c_74497,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_19458]) ).
tcf(c_74498,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_19454]) ).
tcf(c_74499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_45184]) ).
tcf(c_74500,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7326]) ).
tcf(c_74501,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_13991]) ).
tcf(c_74502,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7322]) ).
tcf(c_74506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_45159]) ).
tcf(c_74507,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_35468]) ).
tcf(c_74508,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7288]) ).
tcf(c_74509,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7284]) ).
tcf(c_74510,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_19228]) ).
tcf(c_74511,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_19224]) ).
tcf(c_74512,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7308]) ).
tcf(c_74513,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7304]) ).
tcf(c_74514,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7300]) ).
tcf(c_74515,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7296]) ).
tcf(c_74516,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7292]) ).
tcf(c_74517,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_59490,c_18902]) ).
tcf(c_74518,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_22117]) ).
tcf(c_74519,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_59490,c_22871]) ).
tcf(c_74520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_13445]) ).
tcf(c_74521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_13129]) ).
tcf(c_74522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_8360]) ).
tcf(c_74523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_16382]) ).
tcf(c_74524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_16055]) ).
tcf(c_74525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_9145]) ).
tcf(c_74526,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_8126]) ).
tcf(c_74527,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_59490,c_8121]) ).
tcf(c_74528,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_8105]) ).
tcf(c_74529,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_59490,c_8338]) ).
tcf(c_74530,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_59490,c_9120]) ).
tcf(c_74532,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_11272]) ).
tcf(c_74533,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_11265]) ).
tcf(c_74536,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_59490,c_23029]) ).
tcf(c_74537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_71366]) ).
tcf(c_74538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_68396]) ).
tcf(c_74539,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_67308]) ).
tcf(c_74540,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X2)) = X2 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_64947]) ).
tcf(c_74541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_63077]) ).
tcf(c_74542,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_58879]) ).
tcf(c_74543,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_56156]) ).
tcf(c_74544,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_56051]) ).
tcf(c_74545,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X2,sK0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_36114]) ).
tcf(c_74546,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| iLess0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X2 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_32166]) ).
tcf(c_74547,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_29318]) ).
tcf(c_74548,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24826]) ).
tcf(c_74549,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24700]) ).
tcf(c_74550,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24504]) ).
tcf(c_74551,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24468]) ).
tcf(c_74552,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24435]) ).
tcf(c_74553,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24256]) ).
tcf(c_74554,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_59490,c_23651]) ).
tcf(c_74555,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_26250]) ).
tcf(c_74556,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_59490,c_24316]) ).
tcf(c_74558,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_29015]) ).
tcf(c_74560,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_30084]) ).
tcf(c_74561,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_30403]) ).
tcf(c_74562,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_34312]) ).
tcf(c_74563,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_36606]) ).
tcf(c_74564,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_37979]) ).
tcf(c_74565,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_41484]) ).
tcf(c_74566,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_59490,c_41508]) ).
tcf(c_74567,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_46299]) ).
tcf(c_74568,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_59490,c_47599]) ).
tcf(c_74569,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_56823]) ).
tcf(c_74570,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_58797]) ).
tcf(c_74571,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_65068]) ).
tcf(c_74572,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_59490,c_65153]) ).
tcf(c_74573,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_55]) ).
tcf(c_74574,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_56]) ).
tcf(c_74576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X3,X4)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_59490,c_127]) ).
tcf(c_74577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_44165]) ).
tcf(c_74578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_41968]) ).
tcf(c_74579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sdtpldt0(X2,X4))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_38665]) ).
tcf(c_74580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_35501]) ).
tcf(c_74581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_25716]) ).
tcf(c_74582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_7926]) ).
tcf(c_74583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( X0 = X1 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_59490,c_128]) ).
tcf(c_74584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X0,sK0(X0,X2)) = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_84]) ).
tcf(c_74585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| iLess0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X2 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_96]) ).
tcf(c_74586,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_6483]) ).
tcf(c_74587,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xk,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_6496]) ).
tcf(c_74588,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_6493]) ).
tcf(c_74589,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_6490]) ).
tcf(c_74590,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_19458]) ).
tcf(c_74591,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_19454]) ).
tcf(c_74592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_45184]) ).
tcf(c_74593,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7326]) ).
tcf(c_74594,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_13991]) ).
tcf(c_74595,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xm,X2)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7322]) ).
tcf(c_74596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sdtpldt0(X1,X3))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_41532]) ).
tcf(c_74597,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_34545]) ).
tcf(c_74599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_45159]) ).
tcf(c_74600,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_35468]) ).
tcf(c_74601,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7288]) ).
tcf(c_74602,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7284]) ).
tcf(c_74603,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_19228]) ).
tcf(c_74604,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_19224]) ).
tcf(c_74605,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7308]) ).
tcf(c_74606,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7304]) ).
tcf(c_74607,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7300]) ).
tcf(c_74608,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7296]) ).
tcf(c_74609,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_7292]) ).
tcf(c_74610,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_59490,c_18902]) ).
tcf(c_74611,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_22117]) ).
tcf(c_74612,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_59490,c_22871]) ).
tcf(c_74613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_13445]) ).
tcf(c_74614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_13129]) ).
tcf(c_74615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_8360]) ).
tcf(c_74616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_16382]) ).
tcf(c_74617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_16055]) ).
tcf(c_74618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59490,c_9145]) ).
tcf(c_74619,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_8126]) ).
tcf(c_74620,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_59490,c_8121]) ).
tcf(c_74621,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_8105]) ).
tcf(c_74622,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_59490,c_8338]) ).
tcf(c_74623,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_59490,c_9120]) ).
tcf(c_74624,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_59490,c_8404]) ).
tcf(c_74625,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_11272]) ).
tcf(c_74626,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X2)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_11265]) ).
tcf(c_74627,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_59490,c_14142]) ).
tcf(c_74628,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_21055]) ).
tcf(c_74629,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_59490,c_23029]) ).
tcf(c_74630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_71366]) ).
tcf(c_74631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_68396]) ).
tcf(c_74632,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_67308]) ).
tcf(c_74633,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X2)) = X2 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_64947]) ).
tcf(c_74634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_63077]) ).
tcf(c_74635,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_58879]) ).
tcf(c_74636,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_56156]) ).
tcf(c_74637,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_56051]) ).
tcf(c_74638,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X2,sK0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_36114]) ).
tcf(c_74639,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X2 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_32166]) ).
tcf(c_74640,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_29318]) ).
tcf(c_74641,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24826]) ).
tcf(c_74642,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24700]) ).
tcf(c_74643,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24504]) ).
tcf(c_74644,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24468]) ).
tcf(c_74645,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24435]) ).
tcf(c_74646,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_24256]) ).
tcf(c_74647,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_59490,c_23651]) ).
tcf(c_74648,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_26250]) ).
tcf(c_74649,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_59490,c_24316]) ).
tcf(c_74650,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_59490,c_23760]) ).
tcf(c_74651,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_29015]) ).
tcf(c_74652,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))) ),
inference(superposition,[status(thm)],[c_59490,c_29717]) ).
tcf(c_74653,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_30084]) ).
tcf(c_74654,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_30403]) ).
tcf(c_74655,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_34312]) ).
tcf(c_74656,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_36606]) ).
tcf(c_74657,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_37979]) ).
tcf(c_74658,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_41484]) ).
tcf(c_74659,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_59490,c_41508]) ).
tcf(c_74660,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_46299]) ).
tcf(c_74661,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_59490,c_47599]) ).
tcf(c_74662,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_56823]) ).
tcf(c_74663,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_58797]) ).
tcf(c_74664,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_65068]) ).
tcf(c_74665,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_59490,c_65153]) ).
tcf(c_74666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X4,X1)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(X2,X4)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_127]) ).
tcf(c_74669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X4))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_38665]) ).
tcf(c_74671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_25716]) ).
tcf(c_74672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_59490,c_7926]) ).
tcf(c_74673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_59490,c_128]) ).
tcf(c_74674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_84]) ).
tcf(c_74675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| iLess0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X3 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_96]) ).
tcf(c_74679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X3,X4)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_45159]) ).
tcf(c_74680,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_11272]) ).
tcf(c_74681,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_59490,c_24316]) ).
tcf(c_74682,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_75]) ).
tcf(c_74683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X3,X4)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_127]) ).
tcf(c_74685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X4)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_41968]) ).
tcf(c_74690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_128]) ).
tcf(c_74691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X1)) = X1 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_84]) ).
tcf(c_74692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_96]) ).
tcf(c_74693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_45184]) ).
tcf(c_74694,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_7326]) ).
tcf(c_74695,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_13991]) ).
tcf(c_74696,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_7322]) ).
tcf(c_74697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X4))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_41532]) ).
tcf(c_74698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn) ),
inference(superposition,[status(thm)],[c_59490,c_34545]) ).
tcf(c_74700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_45159]) ).
tcf(c_74701,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_7288]) ).
tcf(c_74702,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_7284]) ).
tcf(c_74703,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_7308]) ).
tcf(c_74704,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_7304]) ).
tcf(c_74705,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_7300]) ).
tcf(c_74706,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_7296]) ).
tcf(c_74707,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_7292]) ).
tcf(c_74708,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_11265]) ).
tcf(c_74713,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_factoring,[status(thm)],[c_59490]) ).
tcf(c_74717,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_factoring,[status(thm)],[c_59490]) ).
tcf(c_74718,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_factoring,[status(thm)],[c_59490]) ).
tcf(c_74722,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(equality_factoring,[status(thm)],[c_59490]) ).
tcf(c_74725,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(equality_factoring,[status(thm)],[c_59490]) ).
tcf(c_74727,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(equality_factoring,[status(thm)],[c_59490]) ).
tcf(c_74751,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xk,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74587,c_51]) ).
tcf(c_74762,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74511,c_66,c_138]) ).
tcf(c_74769,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74510,c_138,c_51]) ).
tcf(c_74776,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74498,c_66,c_134]) ).
tcf(c_74783,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74497,c_134,c_51]) ).
tcf(c_74790,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xk,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74494,c_51]) ).
tcf(c_74798,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74493,c_138,c_134]) ).
tcf(c_74805,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74481,c_51,c_50]) ).
tcf(c_74812,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74480,c_51,c_49]) ).
tcf(c_74821,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xk,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74401,c_51]) ).
tcf(c_74852,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74609,c_134]) ).
tcf(c_74861,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74608,c_134]) ).
tcf(c_74870,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74607,c_134]) ).
tcf(c_74879,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74606,c_134]) ).
tcf(c_74888,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74605,c_134]) ).
tcf(c_74897,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74602,c_138]) ).
tcf(c_74906,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74601,c_138]) ).
tcf(c_74915,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xm,X2)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74595,c_50]) ).
tcf(c_74924,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74593,c_49]) ).
tcf(c_74933,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sz10)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74516,c_134]) ).
tcf(c_74942,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74515,c_134]) ).
tcf(c_74951,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74514,c_134]) ).
tcf(c_74960,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74513,c_134]) ).
tcf(c_74969,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74512,c_134]) ).
tcf(c_74978,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74509,c_138]) ).
tcf(c_74987,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74508,c_138]) ).
tcf(c_74996,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xm,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74502,c_50]) ).
tcf(c_75005,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xp)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74500,c_49]) ).
tcf(c_75014,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,xr)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74416,c_138]) ).
tcf(c_75023,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74415,c_138]) ).
tcf(c_75032,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74409,c_50]) ).
tcf(c_75041,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,xp)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74407,c_49]) ).
tcf(c_75051,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74663,c_134,c_49199]) ).
tcf(c_75058,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74661,c_134,c_41228]) ).
tcf(c_75065,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74660,c_134,c_41038]) ).
tcf(c_75072,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74657,c_134,c_30349]) ).
tcf(c_75079,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74656,c_134,c_30030]) ).
tcf(c_75086,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74655,c_134,c_28961]) ).
tcf(c_75093,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xn))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74612,c_134,c_5707]) ).
tcf(c_75100,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74611,c_134,c_5662]) ).
tcf(c_75107,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74610,c_134,c_5447]) ).
tcf(c_75114,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xm = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74589,c_134,c_50]) ).
tcf(c_75122,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74588,c_134,c_49]) ).
tcf(c_75130,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74570,c_134,c_49199]) ).
tcf(c_75137,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74568,c_134,c_41228]) ).
tcf(c_75144,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74567,c_134,c_41038]) ).
tcf(c_75151,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74564,c_134,c_30349]) ).
tcf(c_75158,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74563,c_134,c_30030]) ).
tcf(c_75165,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74562,c_134,c_28961]) ).
tcf(c_75172,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74519,c_134,c_5707]) ).
tcf(c_75179,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74518,c_134,c_5662]) ).
tcf(c_75186,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74517,c_134,c_5447]) ).
tcf(c_75193,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74496,c_134,c_50]) ).
tcf(c_75201,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74495,c_134,c_49]) ).
tcf(c_75239,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74707,c_134]) ).
tcf(c_75249,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74706,c_134]) ).
tcf(c_75259,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74705,c_134]) ).
tcf(c_75269,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74704,c_134]) ).
tcf(c_75279,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74703,c_134]) ).
tcf(c_75289,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74702,c_138]) ).
tcf(c_75299,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74701,c_138]) ).
tcf(c_75309,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74696,c_50]) ).
tcf(c_75319,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74694,c_49]) ).
tcf(c_75460,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74389,c_49]) ).
tcf(c_75601,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74662,c_49,c_49199]) ).
tcf(c_75610,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74659,c_49,c_41228]) ).
tcf(c_75619,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74658,c_49,c_41038]) ).
tcf(c_75639,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74569,c_49,c_49199]) ).
tcf(c_75648,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74566,c_49,c_41228]) ).
tcf(c_75657,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74565,c_49,c_41038]) ).
tcf(c_75677,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74476,c_49,c_49199]) ).
tcf(c_75686,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74473,c_49,c_41228]) ).
tcf(c_75695,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74472,c_49,c_41038]) ).
tcf(c_75716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74592,c_49]) ).
tcf(c_75728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74499,c_49]) ).
tcf(c_75740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74406,c_49]) ).
tcf(c_75764,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74594,c_49]) ).
tcf(c_75774,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74501,c_49]) ).
tcf(c_75784,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74408,c_49]) ).
tcf(c_75794,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74665,c_49,c_62887]) ).
tcf(c_75804,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74664,c_49,c_62530]) ).
tcf(c_75826,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74572,c_49,c_62887]) ).
tcf(c_75836,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74571,c_49,c_62530]) ).
tcf(c_75858,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74479,c_49,c_62887]) ).
tcf(c_75868,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74478,c_49,c_62530]) ).
tcf(c_75902,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74654,c_49,c_30349]) ).
tcf(c_75912,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74653,c_49,c_30030]) ).
tcf(c_75922,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74651,c_49,c_28961]) ).
tcf(c_75932,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74621,c_49,c_5662]) ).
tcf(c_75942,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74620,c_49,c_5447]) ).
tcf(c_75952,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74619,c_49,c_5404]) ).
tcf(c_75987,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74561,c_49,c_30349]) ).
tcf(c_75997,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74560,c_49,c_30030]) ).
tcf(c_76007,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74558,c_49,c_28961]) ).
tcf(c_76017,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74528,c_49,c_5662]) ).
tcf(c_76027,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74527,c_49,c_5447]) ).
tcf(c_76037,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74526,c_49,c_5404]) ).
tcf(c_76072,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74468,c_49,c_30349]) ).
tcf(c_76082,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74467,c_49,c_30030]) ).
tcf(c_76092,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74465,c_49,c_28961]) ).
tcf(c_76102,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74435,c_49,c_5662]) ).
tcf(c_76112,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xp,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74434,c_49,c_5447]) ).
tcf(c_76122,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74433,c_49,c_5404]) ).
tcf(c_76157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74693,c_49]) ).
tcf(c_76170,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74622,c_49]) ).
tcf(c_76181,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74529,c_49]) ).
tcf(c_76192,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74436,c_49]) ).
tcf(c_76292,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74600,c_66,c_49]) ).
tcf(c_76315,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74507,c_66,c_49]) ).
tcf(c_76326,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X0,xr)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74414,c_66,c_49]) ).
tcf(c_76364,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74650,c_49,c_23711]) ).
tcf(c_76374,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74628,c_49,c_21011]) ).
tcf(c_76384,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74627,c_49,c_14098]) ).
tcf(c_76394,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74624,c_49,c_5784]) ).
tcf(c_76404,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74623,c_49]) ).
tcf(c_76416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74615,c_49]) ).
tcf(c_76429,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74530,c_49]) ).
tcf(c_76441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74522,c_49]) ).
tcf(c_76454,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74464,c_49,c_23711]) ).
tcf(c_76464,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74442,c_49,c_21011]) ).
tcf(c_76474,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74441,c_49,c_14098]) ).
tcf(c_76484,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74438,c_49,c_5784]) ).
tcf(c_76494,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74437,c_49]) ).
tcf(c_76506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74429,c_49]) ).
tcf(c_76585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74618,c_49]) ).
tcf(c_76599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74525,c_49]) ).
tcf(c_76613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X2,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74432,c_49]) ).
tcf(c_76627,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74652,c_49,c_29666]) ).
tcf(c_76637,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74466,c_49,c_29666]) ).
tcf(c_76671,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74629,c_49]) ).
tcf(c_76684,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74536,c_49]) ).
tcf(c_76697,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74443,c_49]) ).
tcf(c_76710,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74648,c_49]) ).
tcf(c_76722,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74643,c_49]) ).
tcf(c_76734,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74555,c_49]) ).
tcf(c_76746,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74550,c_49]) ).
tcf(c_76758,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74462,c_49]) ).
tcf(c_76770,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74457,c_49]) ).
tcf(c_76782,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74647,c_49]) ).
tcf(c_76794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74614,c_49]) ).
tcf(c_76810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74613,c_49]) ).
tcf(c_76826,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74554,c_49]) ).
tcf(c_76838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74521,c_49]) ).
tcf(c_76854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74520,c_49]) ).
tcf(c_76870,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74461,c_49]) ).
tcf(c_76882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X4,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X4)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74428,c_49]) ).
tcf(c_76898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X4,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X4)
| sdtlseqdt0(X3,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X1),sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74427,c_49]) ).
tcf(c_76914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74617,c_49]) ).
tcf(c_76931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74616,c_49]) ).
tcf(c_76948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74524,c_49]) ).
tcf(c_76965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X3)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(X4,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74523,c_49]) ).
tcf(c_76982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X4,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X4)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X0,X2),sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74431,c_49]) ).
tcf(c_76999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X4,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X4)
| sdtlseqdt0(X3,sdtasdt0(X0,X1))
| sdtlseqdt0(sdtasdt0(X2,X1),sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74430,c_49]) ).
tcf(c_77016,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74641,c_49]) ).
tcf(c_77030,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74640,c_49]) ).
tcf(c_77044,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74635,c_49]) ).
tcf(c_77058,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74548,c_49]) ).
tcf(c_77072,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74547,c_49]) ).
tcf(c_77086,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74542,c_49]) ).
tcf(c_77100,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74455,c_49]) ).
tcf(c_77114,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74454,c_49]) ).
tcf(c_77128,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74449,c_49]) ).
tcf(c_77142,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74637,c_49]) ).
tcf(c_77156,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74544,c_49]) ).
tcf(c_77170,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74451,c_49]) ).
tcf(c_77197,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74646,c_49]) ).
tcf(c_77211,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74553,c_49]) ).
tcf(c_77225,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X1,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74460,c_49]) ).
tcf(c_77239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74644,c_49]) ).
tcf(c_77252,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74636,c_49]) ).
tcf(c_77265,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74632,c_49]) ).
tcf(c_77280,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74551,c_49]) ).
tcf(c_77293,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74543,c_49]) ).
tcf(c_77306,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74539,c_49]) ).
tcf(c_77321,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74458,c_49]) ).
tcf(c_77334,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74450,c_49]) ).
tcf(c_77347,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74446,c_49]) ).
tcf(c_77362,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74645,c_49]) ).
tcf(c_77374,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74552,c_49]) ).
tcf(c_77386,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74459,c_49]) ).
tcf(c_77398,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74642,c_49]) ).
tcf(c_77412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74634,c_49]) ).
tcf(c_77428,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74549,c_49]) ).
tcf(c_77442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74541,c_49]) ).
tcf(c_77458,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74456,c_49]) ).
tcf(c_77472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74448,c_49]) ).
tcf(c_77501,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X2)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74633,c_49]) ).
tcf(c_77528,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X2)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74540,c_49]) ).
tcf(c_77542,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X2)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74447,c_49]) ).
tcf(c_77556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74631,c_49]) ).
tcf(c_77573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74630,c_49]) ).
tcf(c_77590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74538,c_49]) ).
tcf(c_77607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74537,c_49]) ).
tcf(c_77624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74445,c_49]) ).
tcf(c_77641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74444,c_49]) ).
tcf(c_77658,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X2 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74639,c_49]) ).
tcf(c_77674,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| iLess0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X2 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74546,c_49]) ).
tcf(c_77690,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X2 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74453,c_49]) ).
tcf(c_77706,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X2,sK0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74638,c_49]) ).
tcf(c_77721,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X2,sK0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74545,c_49]) ).
tcf(c_77736,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X2,sK0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74452,c_49]) ).
tcf(c_78168,plain,
sdtasdt0(xr,sdtsldt0(xr,xr)) = xr,
inference(global_subsumption_just,[status(thm)],[c_9820,c_1657,c_9820]) ).
tcf(c_78170,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,xr)),xr)
| ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_78168,c_104]) ).
tcf(c_78173,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xr,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78168,c_23072]) ).
tcf(c_78174,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,xr)),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78168,c_16382]) ).
tcf(c_78175,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sdtsldt0(xr,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_78168,c_16055]) ).
tcf(c_78178,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xr,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78168,c_9145]) ).
tcf(c_78183,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sz00 = xr )
| ( sdtsldt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_78168,c_102]) ).
tcf(c_78184,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ( sdtasdt0(X0,sdtsldt0(xr,xr)) != xr ) ),
inference(superposition,[status(thm)],[c_78168,c_107]) ).
tcf(c_78185,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sdtsldt0(xr,xr)))
| ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr)) ),
inference(superposition,[status(thm)],[c_78168,c_104]) ).
tcf(c_78186,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ( sdtasdt0(xr,X0) != xr ) ),
inference(superposition,[status(thm)],[c_78168,c_106]) ).
tcf(c_78187,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sdtsldt0(xr,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ sdtlseqdt0(sdtsldt0(xr,xr),X0) ),
inference(superposition,[status(thm)],[c_78168,c_102]) ).
tcf(c_78188,plain,
! [X0: $i] :
( ( sdtsldt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ( sdtasdt0(xr,X0) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78186,c_27859,c_66]) ).
tcf(c_78193,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ( sdtasdt0(X0,sdtsldt0(xr,xr)) != xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78184,c_66]) ).
tcf(c_78199,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(xr,X0))
| ( sdtsldt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ sdtlseqdt0(sdtsldt0(xr,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78187,c_27859,c_66]) ).
tcf(c_78205,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtasdt0(X0,sdtsldt0(xr,xr)))
| ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78185,c_66]) ).
tcf(c_78212,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),xr)
| ( sdtsldt0(xr,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78183,c_27859,c_66]) ).
tcf(c_78218,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,xr)),xr)
| ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78170,c_66]) ).
tcf(c_78225,plain,
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xr,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78173,c_66]) ).
tcf(c_78232,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xr,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78178,c_66]) ).
tcf(c_78239,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xr,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xr,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78175,c_27859,c_66]) ).
tcf(c_78248,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xr,xr)),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xr,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xr,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78174,c_66]) ).
tcf(c_78305,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_74075,c_130]) ).
tcf(c_78306,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xr),sz10)) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_74075,c_133]) ).
tcf(c_78308,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_74075,c_99]) ).
tcf(c_78310,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_74075,c_114]) ).
tcf(c_78311,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78310,c_138,c_64495]) ).
tcf(c_78315,plain,
sdtasdt0(sz10,sK1(sz10,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_78308,c_138,c_64495]) ).
tcf(c_78316,plain,
sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xr),sz10)) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_78306,c_139,c_138,c_64495]) ).
tcf(c_78317,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xr),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78305,c_139,c_138,c_64495]) ).
tcf(c_78322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64610,c_104]) ).
tcf(c_78323,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64610,c_65238]) ).
tcf(c_78324,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64610,c_28161]) ).
tcf(c_78325,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64610,c_23072]) ).
tcf(c_78326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64610,c_16382]) ).
tcf(c_78327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_64610,c_16055]) ).
tcf(c_78330,plain,
( sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_64610,c_9145]) ).
tcf(c_78332,plain,
( doDivides0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64610,c_185]) ).
tcf(c_78334,plain,
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64610,c_100]) ).
tcf(c_78335,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64610,c_102]) ).
tcf(c_78336,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_64610,c_107]) ).
tcf(c_78337,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_64610,c_104]) ).
tcf(c_78338,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtasdt0(sdtasdt0(xn,xr),X0) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_64610,c_106]) ).
tcf(c_78339,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64610,c_102]) ).
tcf(c_78340,plain,
doDivides0(sdtasdt0(xn,xr),sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_78332,c_138,c_64495]) ).
tcf(c_78341,plain,
sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_78334,c_139,c_138,c_64495]) ).
tcf(c_78342,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78323,c_139,c_138,c_64495]) ).
tcf(c_78345,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78336,c_139,c_138,c_64495]) ).
tcf(c_78349,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xn,xr),X0) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78338,c_138,c_64495]) ).
tcf(c_78354,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78339,c_138,c_64495]) ).
tcf(c_78360,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtasdt0(X0,sz10))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78337,c_139,c_138,c_64495]) ).
tcf(c_78365,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr))
| ( X0 = sz10 )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78335,c_138,c_64495]) ).
tcf(c_78371,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78322,c_139,c_138,c_64495]) ).
tcf(c_78376,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78325,c_139,c_138,c_64495]) ).
tcf(c_78381,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78324,c_139,c_138,c_64495]) ).
tcf(c_78386,plain,
( sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78330,c_139,c_138,c_64495]) ).
tcf(c_78391,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78327,c_138,c_64495]) ).
tcf(c_78400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78326,c_139,c_138,c_64495]) ).
tcf(c_78415,plain,
sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
inference(global_subsumption_just,[status(thm)],[c_52967,c_1657,c_9843]) ).
tcf(c_78423,plain,
( sdtlseqdt0(xr,xn)
| ( sdtsldt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78415,c_100]) ).
tcf(c_78429,plain,
( sdtlseqdt0(xr,xn)
| ( sdtsldt0(xn,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78423,c_66,c_51396]) ).
tcf(c_78474,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78340,c_130]) ).
tcf(c_78475,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xr),sdtsldt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78340,c_133]) ).
tcf(c_78477,plain,
( ( sdtasdt0(sdtasdt0(xn,xr),sK1(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78340,c_99]) ).
tcf(c_78480,plain,
sdtasdt0(sdtasdt0(xn,xr),sK1(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_78477,c_64495]) ).
tcf(c_78481,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xn,xr),sdtsldt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78475,c_64495]) ).
tcf(c_78484,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78474,c_64495]) ).
tcf(c_78491,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78341,c_41968]) ).
tcf(c_78492,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78341,c_38665]) ).
tcf(c_78493,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78341,c_35501]) ).
tcf(c_78494,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78341,c_25716]) ).
tcf(c_78495,plain,
( sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_78341,c_7926]) ).
tcf(c_78497,plain,
( ( sdtpldt0(sdtasdt0(xn,xr),sK0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78341,c_84]) ).
tcf(c_78499,plain,
sdtpldt0(sdtasdt0(xn,xr),sK0(sdtasdt0(xn,xr),sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_78497,c_64495]) ).
tcf(c_78500,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78493,c_64495]) ).
tcf(c_78504,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78492,c_64495]) ).
tcf(c_78510,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78491,c_64495]) ).
tcf(c_78516,plain,
( sdtlseqdt0(sz10,sdtasdt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78494,c_64495]) ).
tcf(c_78523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64613,c_81]) ).
tcf(c_78530,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_64613,c_13445]) ).
tcf(c_78531,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64613,c_13129]) ).
tcf(c_78537,plain,
( sdtlseqdt0(sz00,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64613,c_188]) ).
tcf(c_78539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_64613,c_79]) ).
tcf(c_78540,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64613,c_79]) ).
tcf(c_78541,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtpldt0(X0,sdtasdt0(xn,xr)) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_64613,c_88]) ).
tcf(c_78543,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64613,c_81]) ).
tcf(c_78544,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_64613,c_87]) ).
tcf(c_78545,plain,
sdtlseqdt0(sz00,sdtasdt0(xn,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_78537,c_134,c_64495]) ).
tcf(c_78546,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78544,c_134,c_64495]) ).
tcf(c_78550,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xn,xr)) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78541,c_134,c_64495]) ).
tcf(c_78554,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(X0,sdtasdt0(xn,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78543,c_134,c_64495]) ).
tcf(c_78559,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xr)),sdtasdt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78523,c_134,c_64495]) ).
tcf(c_78564,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78540,c_134,c_64495]) ).
tcf(c_78569,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(sz00,X0))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78539,c_134,c_64495]) ).
tcf(c_78574,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xn,xr)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78530,c_134,c_64495]) ).
tcf(c_78582,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78531,c_134,c_64495]) ).
tcf(c_78634,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78545,c_127]) ).
tcf(c_78641,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),sz00) ),
inference(superposition,[status(thm)],[c_78545,c_128]) ).
tcf(c_78642,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78545,c_84]) ).
tcf(c_78643,plain,
( iLess0(sz00,sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78545,c_96]) ).
tcf(c_78644,plain,
( iLess0(sz00,sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78643,c_134,c_64495]) ).
tcf(c_78647,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_78642,c_134,c_64495]) ).
tcf(c_78648,plain,
( ( sdtasdt0(xn,xr) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xn,xr),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78641,c_134,c_64495]) ).
tcf(c_78651,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78634,c_134,c_64495]) ).
tcf(c_78655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64614,c_81]) ).
tcf(c_78661,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64614,c_21679]) ).
tcf(c_78662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64614,c_13445]) ).
tcf(c_78663,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_64614,c_13129]) ).
tcf(c_78666,plain,
( sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_64614,c_8360]) ).
tcf(c_78671,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64614,c_79]) ).
tcf(c_78672,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64614,c_79]) ).
tcf(c_78673,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_64614,c_88]) ).
tcf(c_78675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(superposition,[status(thm)],[c_64614,c_81]) ).
tcf(c_78676,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ( sdtpldt0(sdtasdt0(xn,xr),X0) != sdtasdt0(xn,xr) ) ),
inference(superposition,[status(thm)],[c_64614,c_87]) ).
tcf(c_78677,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xn,xr),X0) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78676,c_134,c_64495]) ).
tcf(c_78681,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78673,c_134,c_64495]) ).
tcf(c_78685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xr),X0),sdtasdt0(xn,xr))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78672,c_134,c_64495]) ).
tcf(c_78690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(sdtasdt0(xn,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78671,c_134,c_64495]) ).
tcf(c_78695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),sdtpldt0(X0,sz00))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78675,c_134,c_64495]) ).
tcf(c_78700,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xn,xr))
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78655,c_134,c_64495]) ).
tcf(c_78707,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xr),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78663,c_134,c_64495]) ).
tcf(c_78715,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78662,c_134,c_64495]) ).
tcf(c_78774,plain,
sdtasdt0(xm,xp) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_51,c_5215]) ).
tcf(c_78775,plain,
sdtasdt0(xm,xr) = sdtasdt0(xr,xm),
inference(superposition,[status(thm)],[c_66,c_5215]) ).
tcf(c_78776,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_5215]) ).
tcf(c_78777,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),xm) = sdtasdt0(xm,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_5215]) ).
tcf(c_78778,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_5215]) ).
tcf(c_78779,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),xm) = sdtasdt0(xm,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_5215]) ).
tcf(c_78780,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),xm) = sdtasdt0(xm,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_5215]) ).
tcf(c_78781,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),xm) = sdtasdt0(xm,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_5215]) ).
tcf(c_78782,plain,
sdtasdt0(xm,sz00) = sdtasdt0(sz00,xm),
inference(superposition,[status(thm)],[c_134,c_5215]) ).
tcf(c_78783,plain,
sdtasdt0(xm,sz10) = sdtasdt0(sz10,xm),
inference(superposition,[status(thm)],[c_138,c_5215]) ).
tcf(c_78784,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),xm) = sdtasdt0(xm,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_5215]) ).
tcf(c_78785,plain,
sdtasdt0(sdtpldt0(xn,xm),xm) = sdtasdt0(xm,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_5404,c_5215]) ).
tcf(c_78786,plain,
sdtasdt0(sdtpldt0(xn,xp),xm) = sdtasdt0(xm,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_5447,c_5215]) ).
tcf(c_78787,plain,
sdtasdt0(sdtpldt0(xn,xr),xm) = sdtasdt0(xm,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_5662,c_5215]) ).
tcf(c_78788,plain,
sdtasdt0(sdtpldt0(sz10,xn),xm) = sdtasdt0(xm,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5707,c_5215]) ).
tcf(c_78789,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(superposition,[status(thm)],[c_5784,c_5215]) ).
tcf(c_78790,plain,
sdtasdt0(sdtasdt0(xn,xm),xm) = sdtasdt0(xm,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_62530,c_5215]) ).
tcf(c_78791,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xn,xp))),
inference(superposition,[status(thm)],[c_14098,c_5215]) ).
tcf(c_78792,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_21011,c_5215]) ).
tcf(c_78793,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz10,xn))),
inference(superposition,[status(thm)],[c_23711,c_5215]) ).
tcf(c_78794,plain,
sdtasdt0(sdtpldt0(xp,xm),xm) = sdtasdt0(xm,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_28961,c_5215]) ).
tcf(c_78795,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))),
inference(superposition,[status(thm)],[c_29666,c_5215]) ).
tcf(c_78796,plain,
sdtasdt0(sdtpldt0(xr,xm),xm) = sdtasdt0(xm,sdtpldt0(xr,xm)),
inference(superposition,[status(thm)],[c_30030,c_5215]) ).
tcf(c_78797,plain,
sdtasdt0(sdtpldt0(sz10,xm),xm) = sdtasdt0(xm,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_30349,c_5215]) ).
tcf(c_78798,plain,
sdtasdt0(sdtpldt0(xp,xr),xm) = sdtasdt0(xm,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_41038,c_5215]) ).
tcf(c_78799,plain,
sdtasdt0(sdtpldt0(sz10,xp),xm) = sdtasdt0(xm,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_41228,c_5215]) ).
tcf(c_78800,plain,
sdtasdt0(sdtasdt0(xn,xp),xm) = sdtasdt0(xm,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_62887,c_5215]) ).
tcf(c_78801,plain,
sdtasdt0(sdtpldt0(sz10,xr),xm) = sdtasdt0(xm,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_49199,c_5215]) ).
tcf(c_78802,plain,
sdtasdt0(sdtasdt0(xn,xr),xm) = sdtasdt0(xm,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_64495,c_5215]) ).
tcf(c_78894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(global_subsumption_just,[status(thm)],[c_74489,c_52012,c_74484]) ).
tcf(c_78896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(global_subsumption_just,[status(thm)],[c_74582,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_74582]) ).
tcf(c_78926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_74681]) ).
tcf(c_78927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_74681]) ).
tcf(c_78928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57570,c_74681]) ).
tcf(c_78929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_57164,c_74681]) ).
tcf(c_78930,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56335,c_74681]) ).
tcf(c_78931,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_46367,c_74681]) ).
tcf(c_78932,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_56154,c_74681]) ).
tcf(c_78933,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_45185,c_74681]) ).
tcf(c_78934,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_38195,c_74681]) ).
tcf(c_78935,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26221,c_74681]) ).
tcf(c_78937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(X2,X4)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X4,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_74681]) ).
tcf(c_78938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_74681]) ).
tcf(c_78939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(X2,X4)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X4,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_74681]) ).
tcf(c_78940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_48068,c_74681]) ).
tcf(c_78941,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_44185,c_74681]) ).
tcf(c_78942,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_126,c_74681]) ).
tcf(c_78943,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26179,c_74681]) ).
tcf(c_78944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(X2,X4)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X4,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_59490,c_74681]) ).
tcf(c_78958,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78942,c_49]) ).
tcf(c_78972,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| iLess0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78934,c_49]) ).
tcf(c_78987,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78933,c_49]) ).
tcf(c_79002,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78932,c_49]) ).
tcf(c_79017,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78941,c_49]) ).
tcf(c_79032,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(xr,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78930,c_49]) ).
tcf(c_79048,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78935,c_49]) ).
tcf(c_79064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(xn,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78929,c_49]) ).
tcf(c_79081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sz10,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78928,c_49]) ).
tcf(c_79098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78927,c_49]) ).
tcf(c_79115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78926,c_49]) ).
tcf(c_79132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78940,c_49]) ).
tcf(c_79149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X3,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78938,c_49]) ).
tcf(c_79166,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))) = sK0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78931,c_49]) ).
tcf(c_79181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(X2,X4)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X4,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78944,c_49]) ).
tcf(c_79200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(X2,X4)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(X4,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78939,c_49]) ).
tcf(c_79219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(X2,X4)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X4,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_78937,c_49]) ).
tcf(c_79258,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,xn)),xn)
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_9823,c_104]) ).
tcf(c_79262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,xn)),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_9823,c_16382]) ).
tcf(c_79263,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_9823,c_16055]) ).
tcf(c_79266,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_9823,c_9145]) ).
tcf(c_79271,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( xn = sz00 )
| ( sdtsldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_9823,c_102]) ).
tcf(c_79272,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xn))
| ( sdtasdt0(X0,sdtsldt0(xn,xn)) != xn ) ),
inference(superposition,[status(thm)],[c_9823,c_107]) ).
tcf(c_79273,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtsldt0(xn,xn)))
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_9823,c_104]) ).
tcf(c_79274,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xn))
| ( sdtasdt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_9823,c_106]) ).
tcf(c_79275,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xn))
| ~ sdtlseqdt0(sdtsldt0(xn,xn),X0) ),
inference(superposition,[status(thm)],[c_9823,c_102]) ).
tcf(c_79276,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xn))
| ( sdtasdt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79274,c_49]) ).
tcf(c_79282,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sdtsldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xn))
| ~ sdtlseqdt0(sdtsldt0(xn,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79275,c_49]) ).
tcf(c_79289,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( xn = sz00 )
| ( sdtsldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79271,c_49]) ).
tcf(c_79296,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xn))
| ( sdtasdt0(X0,sdtsldt0(xn,xn)) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79272,c_49]) ).
tcf(c_79303,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,sdtsldt0(xn,xn)))
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79273,c_49]) ).
tcf(c_79311,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,xn)),xn)
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79258,c_49]) ).
tcf(c_79319,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79266,c_49,c_5002]) ).
tcf(c_79326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xn))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79263,c_49,c_5002]) ).
tcf(c_79335,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(xn,xn)),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79262,c_49,c_5002]) ).
tcf(c_79396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xm))
| ( xp = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_78774,c_104]) ).
tcf(c_79397,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_78774,c_65238]) ).
tcf(c_79398,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78774,c_28161]) ).
tcf(c_79399,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xp,xm))
| ( xp = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78774,c_23072]) ).
tcf(c_79400,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_78774,c_16382]) ).
tcf(c_79401,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_78774,c_16055]) ).
tcf(c_79404,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_78774,c_9145]) ).
tcf(c_79405,plain,
( ( xp = sz00 )
| ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xp,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_78774,c_105]) ).
tcf(c_79406,plain,
( doDivides0(xm,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_78774,c_185]) ).
tcf(c_79407,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_78774,c_112]) ).
tcf(c_79408,plain,
( sdtlseqdt0(xm,sdtasdt0(xp,xm))
| ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_78774,c_100]) ).
tcf(c_79409,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xp,xm))
| ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_78774,c_102]) ).
tcf(c_79410,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_78774,c_107]) ).
tcf(c_79411,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(X0,xp))
| ( xp = sz00 )
| ( X0 = xm )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_78774,c_104]) ).
tcf(c_79412,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_78774,c_106]) ).
tcf(c_79413,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_78774,c_102]) ).
tcf(c_79414,plain,
aNaturalNumber0(sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_79407,c_51,c_50]) ).
tcf(c_79415,plain,
doDivides0(xm,sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_79406,c_51,c_50]) ).
tcf(c_79416,plain,
sdtlseqdt0(xm,sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_79408,c_27861,c_51,c_50]) ).
tcf(c_79417,plain,
( ( xm = sz00 )
| ( sdtasdt0(xp,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79405,c_27861,c_51,c_50]) ).
tcf(c_79420,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79397,c_27861,c_51,c_50]) ).
tcf(c_79423,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79412,c_51,c_50]) ).
tcf(c_79428,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79410,c_27861,c_51,c_50]) ).
tcf(c_79432,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79413,c_51,c_50]) ).
tcf(c_79438,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(X0,xp))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79411,c_27861,c_51,c_50]) ).
tcf(c_79443,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xp,xm))
| ( xm = sz00 )
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79409,c_51,c_50]) ).
tcf(c_79449,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79396,c_27861,c_51,c_50]) ).
tcf(c_79454,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79399,c_27861,c_51,c_50]) ).
tcf(c_79459,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79398,c_27861,c_51,c_50]) ).
tcf(c_79464,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79404,c_27861,c_51,c_50]) ).
tcf(c_79469,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79401,c_51,c_50]) ).
tcf(c_79478,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79400,c_27861,c_51,c_50]) ).
tcf(c_79509,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xp,xm)),sdtasdt0(X0,sdtasdt0(xp,xm))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79414,c_90]) ).
tcf(c_79510,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xm),X1),sdtasdt0(sdtasdt0(xp,xm),X0)) = sdtasdt0(sdtasdt0(xp,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79414,c_89]) ).
tcf(c_79511,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,xm),X1),X0) = sdtasdt0(sdtasdt0(xp,xm),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79414,c_110]) ).
tcf(c_79512,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,xm),X1),X0) = sdtpldt0(sdtasdt0(xp,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79414,c_93]) ).
tcf(c_79513,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),X0) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79414,c_195]) ).
tcf(c_79514,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xm),X0) = sdtasdt0(X0,sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79414,c_111]) ).
tcf(c_79515,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xm),X0) = sdtpldt0(X0,sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79414,c_94]) ).
tcf(c_79516,plain,
sdtasdt0(sdtasdt0(xp,xm),xm) = sdtasdt0(xm,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_79414,c_5215]) ).
tcf(c_79517,plain,
sdtasdt0(sdtasdt0(xp,xm),xn) = sdtasdt0(xn,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_79414,c_5214]) ).
tcf(c_79518,plain,
sdtpldt0(sdtasdt0(xp,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_79414,c_5087]) ).
tcf(c_79519,plain,
sdtpldt0(sdtasdt0(xp,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_79414,c_5086]) ).
tcf(c_79520,plain,
sdtpldt0(sdtasdt0(xp,xm),xr) = sdtpldt0(xr,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_79414,c_5082]) ).
tcf(c_79521,plain,
sdtpldt0(sdtasdt0(xp,xm),xp) = sdtpldt0(xp,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_79414,c_5081]) ).
tcf(c_79522,plain,
sdtpldt0(sdtasdt0(xp,xm),xm) = sdtpldt0(xm,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_79414,c_5080]) ).
tcf(c_79523,plain,
sdtpldt0(sdtasdt0(xp,xm),xn) = sdtpldt0(xn,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_79414,c_5079]) ).
tcf(c_79524,plain,
sdtasdt0(sz10,sdtasdt0(xp,xm)) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_79414,c_137]) ).
tcf(c_79525,plain,
sdtasdt0(sdtasdt0(xp,xm),sz10) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_79414,c_136]) ).
tcf(c_79526,plain,
sdtasdt0(sz00,sdtasdt0(xp,xm)) = sz00,
inference(superposition,[status(thm)],[c_79414,c_109]) ).
tcf(c_79527,plain,
sdtasdt0(sdtasdt0(xp,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_79414,c_108]) ).
tcf(c_79528,plain,
sdtpldt0(sz00,sdtasdt0(xp,xm)) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_79414,c_92]) ).
tcf(c_79529,plain,
sdtpldt0(sdtasdt0(xp,xm),sz00) = sdtasdt0(xp,xm),
inference(superposition,[status(thm)],[c_79414,c_91]) ).
tcf(c_79642,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xm),xm)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79415,c_130]) ).
tcf(c_79643,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xp,xm),xm)) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79415,c_133]) ).
tcf(c_79644,plain,
( ( xm = sz10 )
| ( sdtasdt0(xp,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ isPrime0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79415,c_124]) ).
tcf(c_79645,plain,
( ( sdtasdt0(xm,sK1(xm,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79415,c_99]) ).
tcf(c_79647,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79415,c_114]) ).
tcf(c_79648,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79647,c_50,c_79414]) ).
tcf(c_79652,plain,
sdtasdt0(xm,sK1(xm,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_79645,c_50,c_79414]) ).
tcf(c_79653,plain,
( ( xm = sz10 )
| ( sdtasdt0(xp,xm) = xm )
| ~ isPrime0(sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79644,c_50,c_79414]) ).
tcf(c_79657,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xp,xm),xm)) = sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79643,c_50,c_79414]) ).
tcf(c_79660,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xm),xm)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79642,c_50,c_79414]) ).
tcf(c_79666,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79416,c_127]) ).
tcf(c_79668,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79416,c_41968]) ).
tcf(c_79669,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xp,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79416,c_38665]) ).
tcf(c_79670,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79416,c_35501]) ).
tcf(c_79671,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79416,c_25716]) ).
tcf(c_79672,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_79416,c_7926]) ).
tcf(c_79673,plain,
( ( sdtasdt0(xp,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xm) ),
inference(superposition,[status(thm)],[c_79416,c_128]) ).
tcf(c_79674,plain,
( ( sdtpldt0(xm,sK0(xm,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79416,c_84]) ).
tcf(c_79675,plain,
( iLess0(xm,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79416,c_96]) ).
tcf(c_79676,plain,
( iLess0(xm,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79675,c_50,c_79414]) ).
tcf(c_79679,plain,
sdtpldt0(xm,sK0(xm,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_79674,c_50,c_79414]) ).
tcf(c_79680,plain,
( ( sdtasdt0(xp,xm) = xm )
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79673,c_50,c_79414]) ).
tcf(c_79683,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79666,c_50,c_79414]) ).
tcf(c_79687,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79670,c_50,c_79414]) ).
tcf(c_79691,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xp,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79669,c_50,c_79414]) ).
tcf(c_79697,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79668,c_50,c_79414]) ).
tcf(c_79703,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79671,c_50,c_79414]) ).
tcf(c_79711,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sdtasdt0(xr,xm))
| ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_78775,c_104]) ).
tcf(c_79712,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_78775,c_65238]) ).
tcf(c_79713,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78775,c_28161]) ).
tcf(c_79714,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xr,xm))
| ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78775,c_23072]) ).
tcf(c_79715,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_78775,c_16382]) ).
tcf(c_79716,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_78775,c_16055]) ).
tcf(c_79719,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_78775,c_9145]) ).
tcf(c_79720,plain,
( ( sz00 = xr )
| ( xm = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xr,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_78775,c_105]) ).
tcf(c_79721,plain,
( doDivides0(xm,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_78775,c_185]) ).
tcf(c_79722,plain,
( aNaturalNumber0(sdtasdt0(xr,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_78775,c_112]) ).
tcf(c_79723,plain,
( sdtlseqdt0(xm,sdtasdt0(xr,xm))
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_78775,c_100]) ).
tcf(c_79724,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xr,xm))
| ( xm = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_78775,c_102]) ).
tcf(c_79725,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != sdtasdt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_78775,c_107]) ).
tcf(c_79726,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = xm )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_78775,c_104]) ).
tcf(c_79727,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_78775,c_106]) ).
tcf(c_79728,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_78775,c_102]) ).
tcf(c_79729,plain,
aNaturalNumber0(sdtasdt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_79722,c_66,c_50]) ).
tcf(c_79730,plain,
doDivides0(xm,sdtasdt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_79721,c_66,c_50]) ).
tcf(c_79731,plain,
sdtlseqdt0(xm,sdtasdt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_79723,c_27859,c_66,c_50]) ).
tcf(c_79732,plain,
( ( xm = sz00 )
| ( sdtasdt0(xr,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79720,c_27859,c_66,c_50]) ).
tcf(c_79735,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79712,c_27859,c_66,c_50]) ).
tcf(c_79738,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79727,c_66,c_50]) ).
tcf(c_79743,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != sdtasdt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79725,c_27859,c_66,c_50]) ).
tcf(c_79747,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79728,c_66,c_50]) ).
tcf(c_79753,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(X0,xr))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79726,c_27859,c_66,c_50]) ).
tcf(c_79758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(xr,xm))
| ( xm = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79724,c_66,c_50]) ).
tcf(c_79764,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sdtasdt0(xr,xm))
| ( X0 = xm )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79711,c_27859,c_66,c_50]) ).
tcf(c_79769,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79714,c_27859,c_66,c_50]) ).
tcf(c_79774,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79713,c_27859,c_66,c_50]) ).
tcf(c_79779,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79719,c_27859,c_66,c_50]) ).
tcf(c_79784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79716,c_66,c_50]) ).
tcf(c_79793,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),sdtsldt0(xn,xr))
| ( X0 = xm )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79715,c_27859,c_66,c_50]) ).
tcf(c_79928,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xr,xm)),sdtasdt0(X0,sdtasdt0(xr,xm))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xr,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79729,c_90]) ).
tcf(c_79929,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xr,xm),X1),sdtasdt0(sdtasdt0(xr,xm),X0)) = sdtasdt0(sdtasdt0(xr,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79729,c_89]) ).
tcf(c_79930,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xr,xm),X1),X0) = sdtasdt0(sdtasdt0(xr,xm),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79729,c_110]) ).
tcf(c_79931,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xr,xm),X1),X0) = sdtpldt0(sdtasdt0(xr,xm),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79729,c_93]) ).
tcf(c_79932,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,xm)),X0) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79729,c_195]) ).
tcf(c_79933,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xr,xm),X0) = sdtasdt0(X0,sdtasdt0(xr,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79729,c_111]) ).
tcf(c_79934,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xr,xm),X0) = sdtpldt0(X0,sdtasdt0(xr,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79729,c_94]) ).
tcf(c_79935,plain,
sdtasdt0(sdtasdt0(xr,xm),xm) = sdtasdt0(xm,sdtasdt0(xr,xm)),
inference(superposition,[status(thm)],[c_79729,c_5215]) ).
tcf(c_79936,plain,
sdtasdt0(sdtasdt0(xr,xm),xn) = sdtasdt0(xn,sdtasdt0(xr,xm)),
inference(superposition,[status(thm)],[c_79729,c_5214]) ).
tcf(c_79937,plain,
sdtpldt0(sdtasdt0(xr,xm),sz10) = sdtpldt0(sz10,sdtasdt0(xr,xm)),
inference(superposition,[status(thm)],[c_79729,c_5087]) ).
tcf(c_79938,plain,
sdtpldt0(sdtasdt0(xr,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xr,xm)),
inference(superposition,[status(thm)],[c_79729,c_5086]) ).
tcf(c_79939,plain,
sdtpldt0(sdtasdt0(xr,xm),xr) = sdtpldt0(xr,sdtasdt0(xr,xm)),
inference(superposition,[status(thm)],[c_79729,c_5082]) ).
tcf(c_79940,plain,
sdtpldt0(sdtasdt0(xr,xm),xp) = sdtpldt0(xp,sdtasdt0(xr,xm)),
inference(superposition,[status(thm)],[c_79729,c_5081]) ).
tcf(c_79941,plain,
sdtpldt0(sdtasdt0(xr,xm),xm) = sdtpldt0(xm,sdtasdt0(xr,xm)),
inference(superposition,[status(thm)],[c_79729,c_5080]) ).
tcf(c_79942,plain,
sdtpldt0(sdtasdt0(xr,xm),xn) = sdtpldt0(xn,sdtasdt0(xr,xm)),
inference(superposition,[status(thm)],[c_79729,c_5079]) ).
tcf(c_79943,plain,
sdtasdt0(sz10,sdtasdt0(xr,xm)) = sdtasdt0(xr,xm),
inference(superposition,[status(thm)],[c_79729,c_137]) ).
tcf(c_79944,plain,
sdtasdt0(sdtasdt0(xr,xm),sz10) = sdtasdt0(xr,xm),
inference(superposition,[status(thm)],[c_79729,c_136]) ).
tcf(c_79945,plain,
sdtasdt0(sz00,sdtasdt0(xr,xm)) = sz00,
inference(superposition,[status(thm)],[c_79729,c_109]) ).
tcf(c_79946,plain,
sdtasdt0(sdtasdt0(xr,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_79729,c_108]) ).
tcf(c_79947,plain,
sdtpldt0(sz00,sdtasdt0(xr,xm)) = sdtasdt0(xr,xm),
inference(superposition,[status(thm)],[c_79729,c_92]) ).
tcf(c_79948,plain,
sdtpldt0(sdtasdt0(xr,xm),sz00) = sdtasdt0(xr,xm),
inference(superposition,[status(thm)],[c_79729,c_91]) ).
tcf(c_79973,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,xm),xm)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,xm)),xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79730,c_130]) ).
tcf(c_79974,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xr,xm),xm)) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79730,c_133]) ).
tcf(c_79975,plain,
( ( xm = sz10 )
| ( sdtasdt0(xr,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ isPrime0(sdtasdt0(xr,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79730,c_124]) ).
tcf(c_79976,plain,
( ( sdtasdt0(xm,sK1(xm,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79730,c_99]) ).
tcf(c_79978,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79730,c_114]) ).
tcf(c_79979,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79978,c_50,c_79729]) ).
tcf(c_79983,plain,
sdtasdt0(xm,sK1(xm,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_79976,c_50,c_79729]) ).
tcf(c_79984,plain,
( ( xm = sz10 )
| ( sdtasdt0(xr,xm) = xm )
| ~ isPrime0(sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79975,c_50,c_79729]) ).
tcf(c_79988,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sdtasdt0(xr,xm),xm)) = sdtasdt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79974,c_50,c_79729]) ).
tcf(c_79991,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,xm),xm)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,xm)),xm) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79973,c_50,c_79729]) ).
tcf(c_79997,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79731,c_127]) ).
tcf(c_79999,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79731,c_41968]) ).
tcf(c_80000,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xr,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79731,c_38665]) ).
tcf(c_80001,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79731,c_35501]) ).
tcf(c_80002,plain,
( sdtlseqdt0(sz10,sdtasdt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79731,c_25716]) ).
tcf(c_80003,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_79731,c_7926]) ).
tcf(c_80004,plain,
( ( sdtasdt0(xr,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xm) ),
inference(superposition,[status(thm)],[c_79731,c_128]) ).
tcf(c_80005,plain,
( ( sdtpldt0(xm,sK0(xm,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79731,c_84]) ).
tcf(c_80006,plain,
( iLess0(xm,sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79731,c_96]) ).
tcf(c_80007,plain,
( iLess0(xm,sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80006,c_50,c_79729]) ).
tcf(c_80010,plain,
sdtpldt0(xm,sK0(xm,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_80005,c_50,c_79729]) ).
tcf(c_80011,plain,
( ( sdtasdt0(xr,xm) = xm )
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80004,c_50,c_79729]) ).
tcf(c_80014,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79997,c_50,c_79729]) ).
tcf(c_80018,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80001,c_50,c_79729]) ).
tcf(c_80022,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xr,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80000,c_50,c_79729]) ).
tcf(c_80028,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79999,c_50,c_79729]) ).
tcf(c_80034,plain,
( sdtlseqdt0(sz10,sdtasdt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80002,c_50,c_79729]) ).
tcf(c_80042,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(global_subsumption_just,[status(thm)],[c_79464,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_79464]) ).
tcf(c_80050,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_57570,c_80042]) ).
tcf(c_80051,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_80042]) ).
tcf(c_80052,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtasdt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_57570,c_80042]) ).
tcf(c_80053,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xp,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_80042]) ).
tcf(c_80054,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_56335,c_80042]) ).
tcf(c_80057,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_45185,c_80042]) ).
tcf(c_80061,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_80042]) ).
tcf(c_80062,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_80042]) ).
tcf(c_80063,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_80042]) ).
tcf(c_80064,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_80042]) ).
tcf(c_80065,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_44185,c_80042]) ).
tcf(c_80066,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_126,c_80042]) ).
tcf(c_80068,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_80042]) ).
tcf(c_80069,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80066,c_49,c_79414]) ).
tcf(c_80073,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80057,c_49,c_79414]) ).
tcf(c_80078,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80065,c_49,c_79414]) ).
tcf(c_80083,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80054,c_49,c_79414]) ).
tcf(c_80089,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xp,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80053,c_49,c_79414]) ).
tcf(c_80096,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtasdt0(xp,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80052,c_49,c_79414]) ).
tcf(c_80103,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80051,c_49,c_79414]) ).
tcf(c_80110,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80050,c_49,c_79414]) ).
tcf(c_80117,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80064,c_49,c_79414]) ).
tcf(c_80124,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80062,c_49,c_79414]) ).
tcf(c_80131,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80068,c_49,c_79414]) ).
tcf(c_80140,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80063,c_49,c_79414]) ).
tcf(c_80149,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80061,c_49,c_79414]) ).
tcf(c_80232,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(global_subsumption_just,[status(thm)],[c_79779,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_79779]) ).
tcf(c_80240,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_57570,c_80232]) ).
tcf(c_80241,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_80232]) ).
tcf(c_80242,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtasdt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_57570,c_80232]) ).
tcf(c_80243,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xr,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_57164,c_80232]) ).
tcf(c_80244,plain,
( sdtlseqdt0(xr,sdtasdt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_56335,c_80232]) ).
tcf(c_80247,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_45185,c_80232]) ).
tcf(c_80251,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_80232]) ).
tcf(c_80252,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_80232]) ).
tcf(c_80253,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_80232]) ).
tcf(c_80254,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_48068,c_80232]) ).
tcf(c_80255,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_44185,c_80232]) ).
tcf(c_80256,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_126,c_80232]) ).
tcf(c_80258,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_59490,c_80232]) ).
tcf(c_80259,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80256,c_49,c_79729]) ).
tcf(c_80263,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80247,c_49,c_79729]) ).
tcf(c_80268,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80255,c_49,c_79729]) ).
tcf(c_80273,plain,
( sdtlseqdt0(xr,sdtasdt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80244,c_49,c_79729]) ).
tcf(c_80279,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xr,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80243,c_49,c_79729]) ).
tcf(c_80286,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz10,sdtasdt0(xr,xm))
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80242,c_49,c_79729]) ).
tcf(c_80293,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80241,c_49,c_79729]) ).
tcf(c_80300,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80240,c_49,c_79729]) ).
tcf(c_80307,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80254,c_49,c_79729]) ).
tcf(c_80314,plain,
! [X0: $i] :
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80252,c_49,c_79729]) ).
tcf(c_80321,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80258,c_49,c_79729]) ).
tcf(c_80330,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80253,c_49,c_79729]) ).
tcf(c_80339,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(X0,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80251,c_49,c_79729]) ).
tcf(c_80422,plain,
( sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(global_subsumption_just,[status(thm)],[c_78386,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_78386]) ).
tcf(c_80430,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80422,c_127]) ).
tcf(c_80435,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_80422,c_25716]) ).
tcf(c_80436,plain,
( sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_80422,c_7926]) ).
tcf(c_80437,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80422,c_128]) ).
tcf(c_80438,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtasdt0(xn,xr),sK0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_80422,c_84]) ).
tcf(c_80439,plain,
( iLess0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_80422,c_96]) ).
tcf(c_80440,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_80422,c_45159]) ).
tcf(c_80441,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80440,c_64495]) ).
tcf(c_80448,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80430,c_64495]) ).
tcf(c_80455,plain,
( iLess0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80439,c_64495]) ).
tcf(c_80461,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtasdt0(xn,xr),sK0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80438,c_64495]) ).
tcf(c_80466,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xn,xr) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80437,c_64495]) ).
tcf(c_80472,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80435,c_64495]) ).
tcf(c_80504,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_78232,c_134,c_140,c_144,c_161,c_4997,c_5716,c_8201,c_10146,c_33485,c_78429]) ).
tcf(c_80510,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80504,c_127]) ).
tcf(c_80513,plain,
! [X0: $i] :
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80504,c_38665]) ).
tcf(c_80517,plain,
( ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xr) ),
inference(superposition,[status(thm)],[c_80504,c_128]) ).
tcf(c_80518,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80504,c_84]) ).
tcf(c_80519,plain,
( iLess0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80504,c_96]) ).
tcf(c_80520,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80504,c_45159]) ).
tcf(c_80521,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80520,c_66]) ).
tcf(c_80526,plain,
( iLess0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80519,c_66]) ).
tcf(c_80531,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80518,c_66]) ).
tcf(c_80535,plain,
( ( sdtsldt0(xn,xr) = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80517,c_66]) ).
tcf(c_80540,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80510,c_66]) ).
tcf(c_80549,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_45047,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_45047]) ).
tcf(c_80563,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_80549]) ).
tcf(c_80564,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_80549]) ).
tcf(c_80572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_80549]) ).
tcf(c_80575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_80549]) ).
tcf(c_80576,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_80549]) ).
tcf(c_80579,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57570,c_80549]) ).
tcf(c_80580,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56154,c_80549]) ).
tcf(c_80581,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25197,c_80549]) ).
tcf(c_80582,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25066,c_80549]) ).
tcf(c_80583,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_135,c_80549]) ).
tcf(c_80585,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_80549]) ).
tcf(c_80587,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,X1)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45661,c_80549]) ).
tcf(c_80588,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56132,c_80549]) ).
tcf(c_80589,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_80549]) ).
tcf(c_80590,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46345,c_80549]) ).
tcf(c_80591,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43873,c_80549]) ).
tcf(c_80592,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_40361,c_80549]) ).
tcf(c_80593,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37215,c_80549]) ).
tcf(c_80594,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_28161,c_80549]) ).
tcf(c_80595,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27448,c_80549]) ).
tcf(c_80596,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_23072,c_80549]) ).
tcf(c_80597,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21679,c_80549]) ).
tcf(c_80599,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56788,c_80549]) ).
tcf(c_80600,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_38195,c_80549]) ).
tcf(c_80601,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_36070,c_80549]) ).
tcf(c_80602,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_31263,c_80549]) ).
tcf(c_80603,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26220,c_80549]) ).
tcf(c_80604,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_80549]) ).
tcf(c_80605,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26179,c_80549]) ).
tcf(c_80606,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26051,c_80549]) ).
tcf(c_80607,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25446,c_80549]) ).
tcf(c_80608,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25445,c_80549]) ).
tcf(c_80609,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_25308,c_80549]) ).
tcf(c_80610,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56345,c_80549]) ).
tcf(c_80611,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_56335,c_80549]) ).
tcf(c_80612,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_80549]) ).
tcf(c_80613,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_80549]) ).
tcf(c_80614,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_80549]) ).
tcf(c_80615,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_80549]) ).
tcf(c_80616,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_80549]) ).
tcf(c_80617,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26842,c_80549]) ).
tcf(c_80618,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_80549]) ).
tcf(c_80619,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_18337,c_80549]) ).
tcf(c_80620,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_8048,c_80549]) ).
tcf(c_80621,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80504,c_80549]) ).
tcf(c_80622,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_8086,c_80549]) ).
tcf(c_80623,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_57164,c_80549]) ).
tcf(c_80624,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45185,c_80549]) ).
tcf(c_80625,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_27750,c_80549]) ).
tcf(c_80626,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_17695,c_80549]) ).
tcf(c_80627,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_21334,c_80549]) ).
tcf(c_80628,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(superposition,[status(thm)],[c_22438,c_80549]) ).
tcf(c_80629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_80549]) ).
tcf(c_80630,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_80549]) ).
tcf(c_80631,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_80549]) ).
tcf(c_80633,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26638,c_80549]) ).
tcf(c_80635,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))),X1)
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11883,c_80549]) ).
tcf(c_80636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_80549]) ).
tcf(c_80637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_80549]) ).
tcf(c_80638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_80549]) ).
tcf(c_80639,plain,
! [X0: $i] :
( sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_47201,c_80549]) ).
tcf(c_80640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(superposition,[status(thm)],[c_31649,c_80549]) ).
tcf(c_80641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_34317,c_80549]) ).
tcf(c_80642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_35421,c_80549]) ).
tcf(c_80643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm))
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(superposition,[status(thm)],[c_38144,c_80549]) ).
tcf(c_80644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(X3,X4)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X4,sK0(X4,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_80549]) ).
tcf(c_80645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xr))
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_58980,c_80549]) ).
tcf(c_80646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_59154,c_80549]) ).
tcf(c_80647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(superposition,[status(thm)],[c_59211,c_80549]) ).
tcf(c_80648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(superposition,[status(thm)],[c_68075,c_80549]) ).
tcf(c_80649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(superposition,[status(thm)],[c_74229,c_80549]) ).
tcf(c_80650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(superposition,[status(thm)],[c_80422,c_80549]) ).
tcf(c_80651,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80599,c_134]) ).
tcf(c_80660,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80621,c_66]) ).
tcf(c_80665,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80610,c_138]) ).
tcf(c_80682,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80633,c_50]) ).
tcf(c_80688,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80625,c_49]) ).
tcf(c_80694,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80609,c_134]) ).
tcf(c_80700,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80608,c_134]) ).
tcf(c_80706,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80607,c_134]) ).
tcf(c_80712,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80606,c_134]) ).
tcf(c_80718,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80605,c_134]) ).
tcf(c_80730,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80582,c_138]) ).
tcf(c_80736,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80581,c_138]) ).
tcf(c_80761,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80620,c_50]) ).
tcf(c_80784,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80650,c_64495]) ).
tcf(c_80790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80649,c_62887]) ).
tcf(c_80796,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80648,c_62530]) ).
tcf(c_80802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80647,c_49199]) ).
tcf(c_80808,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80646,c_41228]) ).
tcf(c_80814,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80645,c_41038]) ).
tcf(c_80820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80643,c_30349]) ).
tcf(c_80826,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xr,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80642,c_30030]) ).
tcf(c_80832,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xp,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80641,c_28961]) ).
tcf(c_80854,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80602,c_134]) ).
tcf(c_80861,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = sz10 )
| ( sdtsldt0(xn,xr) = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80583,c_138]) ).
tcf(c_80938,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz10,xn),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(sz10,xn),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80628,c_5707]) ).
tcf(c_80945,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80627,c_5662]) ).
tcf(c_80952,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xp),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80626,c_5447]) ).
tcf(c_80959,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80622,c_5404]) ).
tcf(c_80966,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| ( sK1(xm,sz00) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1(xm,sz00))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80619,c_50]) ).
tcf(c_81021,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80624,c_49]) ).
tcf(c_81040,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80604,c_134]) ).
tcf(c_81049,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80580,c_138]) ).
tcf(c_81058,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80640,c_5784]) ).
tcf(c_81086,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80611,c_66]) ).
tcf(c_81129,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80623,c_49]) ).
tcf(c_81140,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80600,c_134]) ).
tcf(c_81150,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80579,c_138]) ).
tcf(c_81161,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_80601,c_134]) ).
tcf(c_81285,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_80592]) ).
tcf(c_81286,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_80592]) ).
tcf(c_81287,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_80592]) ).
tcf(c_81294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_80592]) ).
tcf(c_81297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_80592]) ).
tcf(c_81298,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_80592]) ).
tcf(c_81299,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_80592]) ).
tcf(c_81300,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_80592]) ).
tcf(c_81301,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_80592]) ).
tcf(c_81302,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_80592]) ).
tcf(c_81304,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_80592]) ).
tcf(c_81305,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_135,c_80592]) ).
tcf(c_81307,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4997,c_80592]) ).
tcf(c_81308,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5493,c_80592]) ).
tcf(c_81309,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_80592]) ).
tcf(c_81311,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_80592]) ).
tcf(c_81312,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_80592]) ).
tcf(c_81313,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_80592]) ).
tcf(c_81314,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31263,c_80592]) ).
tcf(c_81316,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_80592]) ).
tcf(c_81318,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_80592]) ).
tcf(c_81319,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz00,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_80592]) ).
tcf(c_81321,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz00,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_80592]) ).
tcf(c_81322,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5982,c_80592]) ).
tcf(c_81323,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_80592]) ).
tcf(c_81324,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_80592]) ).
tcf(c_81325,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_80592]) ).
tcf(c_81327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_80592]) ).
tcf(c_81328,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_80592]) ).
tcf(c_81329,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_80592]) ).
tcf(c_81331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_80592]) ).
tcf(c_81339,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81322,c_66]) ).
tcf(c_81351,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81325,c_49]) ).
tcf(c_81359,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81314,c_134,c_49]) ).
tcf(c_81366,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ( xn = sz10 )
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81305,c_138,c_49]) ).
tcf(c_81374,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81299,c_49]) ).
tcf(c_81382,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81302,c_138,c_49]) ).
tcf(c_81390,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81287,c_49]) ).
tcf(c_81399,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81324,c_49]) ).
tcf(c_81409,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81286,c_49]) ).
tcf(c_81419,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81285,c_49]) ).
tcf(c_81429,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81329,c_49]) ).
tcf(c_81438,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81323,c_66,c_49]) ).
tcf(c_81447,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81316,c_134,c_49]) ).
tcf(c_81456,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81313,c_134,c_49]) ).
tcf(c_81464,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81298,c_49]) ).
tcf(c_81474,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| iLess0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81312,c_134,c_49]) ).
tcf(c_81483,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81301,c_138,c_49]) ).
tcf(c_81493,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81328,c_49]) ).
tcf(c_81504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81331,c_49]) ).
tcf(c_81516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81297,c_49]) ).
tcf(c_81528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81294,c_49]) ).
tcf(c_81540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81327,c_49]) ).
tcf(c_81628,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80591,c_55]) ).
tcf(c_81629,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_80591,c_56]) ).
tcf(c_81631,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_80591,c_127]) ).
tcf(c_81632,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_44165]) ).
tcf(c_81633,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_41968]) ).
tcf(c_81634,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_38665]) ).
tcf(c_81635,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_35501]) ).
tcf(c_81636,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_25716]) ).
tcf(c_81637,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_7926]) ).
tcf(c_81638,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X1 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_80591,c_128]) ).
tcf(c_81639,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_84]) ).
tcf(c_81640,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_96]) ).
tcf(c_81641,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_80591,c_6483]) ).
tcf(c_81642,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(xk,sK0(xk,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_80591,c_6496]) ).
tcf(c_81643,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( xn = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_80591,c_6493]) ).
tcf(c_81644,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( xm = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_80591,c_6490]) ).
tcf(c_81645,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_80591,c_19458]) ).
tcf(c_81646,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_80591,c_19454]) ).
tcf(c_81649,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_7326]) ).
tcf(c_81651,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_7322]) ).
tcf(c_81655,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_80549]) ).
tcf(c_81656,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_45159]) ).
tcf(c_81658,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_7288]) ).
tcf(c_81659,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_7284]) ).
tcf(c_81660,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_80591,c_19228]) ).
tcf(c_81661,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_80591,c_19224]) ).
tcf(c_81662,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_7308]) ).
tcf(c_81663,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_7304]) ).
tcf(c_81664,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_7300]) ).
tcf(c_81665,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_7296]) ).
tcf(c_81666,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_7292]) ).
tcf(c_81667,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_80591,c_18902]) ).
tcf(c_81668,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_22117]) ).
tcf(c_81669,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_80591,c_22871]) ).
tcf(c_81681,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_11272]) ).
tcf(c_81682,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),sK0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_11265]) ).
tcf(c_81686,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_74681]) ).
tcf(c_81687,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_71366]) ).
tcf(c_81688,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_68396]) ).
tcf(c_81689,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_67308]) ).
tcf(c_81690,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_64947]) ).
tcf(c_81691,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_63077]) ).
tcf(c_81692,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_58879]) ).
tcf(c_81693,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_56156]) ).
tcf(c_81694,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_56051]) ).
tcf(c_81695,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_36114]) ).
tcf(c_81696,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_32166]) ).
tcf(c_81697,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_29318]) ).
tcf(c_81698,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_24826]) ).
tcf(c_81699,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_24700]) ).
tcf(c_81700,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_24504]) ).
tcf(c_81701,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_24468]) ).
tcf(c_81702,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_24435]) ).
tcf(c_81703,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_24256]) ).
tcf(c_81704,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_80591,c_23651]) ).
tcf(c_81705,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_26250]) ).
tcf(c_81712,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_80591,c_34312]) ).
tcf(c_81713,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_80591,c_36606]) ).
tcf(c_81714,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_80591,c_37979]) ).
tcf(c_81716,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_46299]) ).
tcf(c_81717,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_80591,c_47599]) ).
tcf(c_81718,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_58797]) ).
tcf(c_81724,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_127]) ).
tcf(c_81726,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_41968]) ).
tcf(c_81731,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_128]) ).
tcf(c_81733,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| iLess0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_96]) ).
tcf(c_81734,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_80592]) ).
tcf(c_81735,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_45184]) ).
tcf(c_81737,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_13991]) ).
tcf(c_81739,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_41532]) ).
tcf(c_81740,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn) ),
inference(superposition,[status(thm)],[c_80591,c_34545]) ).
tcf(c_81742,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_80549]) ).
tcf(c_81743,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_45159]) ).
tcf(c_81751,plain,
! [X0: $i] :
( sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_80591,c_11265]) ).
tcf(c_81754,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81661,c_66,c_138]) ).
tcf(c_81757,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81660,c_138,c_51]) ).
tcf(c_81760,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81646,c_66,c_134]) ).
tcf(c_81763,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81645,c_134,c_51]) ).
tcf(c_81766,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(xk,sK0(xk,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81642,c_51]) ).
tcf(c_81770,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81641,c_138,c_134]) ).
tcf(c_81773,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81629,c_51,c_50]) ).
tcf(c_81776,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81628,c_51,c_49]) ).
tcf(c_81779,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz10)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81666,c_134]) ).
tcf(c_81784,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81665,c_134]) ).
tcf(c_81789,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81664,c_134]) ).
tcf(c_81794,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xm)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81663,c_134]) ).
tcf(c_81799,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81662,c_134]) ).
tcf(c_81804,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xr)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81659,c_138]) ).
tcf(c_81809,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81658,c_138]) ).
tcf(c_81814,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81651,c_50]) ).
tcf(c_81819,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xp)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81649,c_49]) ).
tcf(c_81824,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81718,c_134,c_49199]) ).
tcf(c_81827,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81717,c_134,c_41228]) ).
tcf(c_81830,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81716,c_134,c_41038]) ).
tcf(c_81833,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81714,c_134,c_30349]) ).
tcf(c_81836,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81713,c_134,c_30030]) ).
tcf(c_81839,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81712,c_134,c_28961]) ).
tcf(c_81842,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81669,c_134,c_5707]) ).
tcf(c_81845,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81668,c_134,c_5662]) ).
tcf(c_81848,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81667,c_134,c_5447]) ).
tcf(c_81851,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( xm = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81644,c_134,c_50]) ).
tcf(c_81855,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( xn = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81643,c_134,c_49]) ).
tcf(c_81974,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81735,c_49]) ).
tcf(c_82004,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81734,c_49]) ).
tcf(c_82035,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81705,c_49]) ).
tcf(c_82043,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81700,c_49]) ).
tcf(c_82051,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81704,c_49]) ).
tcf(c_82059,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81698,c_49]) ).
tcf(c_82069,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81697,c_49]) ).
tcf(c_82079,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81692,c_49]) ).
tcf(c_82089,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81694,c_49]) ).
tcf(c_82099,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81703,c_49]) ).
tcf(c_82109,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81701,c_49]) ).
tcf(c_82118,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81693,c_49]) ).
tcf(c_82127,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81689,c_49]) ).
tcf(c_82138,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81702,c_49]) ).
tcf(c_82146,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81699,c_49]) ).
tcf(c_82156,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81691,c_49]) ).
tcf(c_82168,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81690,c_49]) ).
tcf(c_82178,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81688,c_49]) ).
tcf(c_82191,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81687,c_49]) ).
tcf(c_82204,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81696,c_49]) ).
tcf(c_82216,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81695,c_49]) ).
tcf(c_82227,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81686,c_49]) ).
tcf(c_82420,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sz00)
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_9830,c_104]) ).
tcf(c_82421,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_9830,c_65238]) ).
tcf(c_82423,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9830,c_23072]) ).
tcf(c_82424,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9830,c_16382]) ).
tcf(c_82425,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_9830,c_16055]) ).
tcf(c_82428,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9830,c_9145]) ).
tcf(c_82429,plain,
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_9830,c_105]) ).
tcf(c_82432,plain,
( sdtlseqdt0(xm,sz00)
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_9830,c_100]) ).
tcf(c_82433,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_9830,c_102]) ).
tcf(c_82434,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9830,c_107]) ).
tcf(c_82435,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xm)))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_9830,c_104]) ).
tcf(c_82436,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9830,c_106]) ).
tcf(c_82437,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtsldt0(sz00,xm),X0) ),
inference(superposition,[status(thm)],[c_9830,c_102]) ).
tcf(c_82438,plain,
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82429,c_50]) ).
tcf(c_82443,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82436,c_50]) ).
tcf(c_82450,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xm,X0))
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(sdtsldt0(sz00,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82437,c_50]) ).
tcf(c_82457,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sz00)
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82433,c_50]) ).
tcf(c_82464,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ( sdtasdt0(X0,sdtsldt0(sz00,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82434,c_50]) ).
tcf(c_82471,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xm)))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82435,c_50]) ).
tcf(c_82479,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sz00)
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82420,c_50]) ).
tcf(c_82495,plain,
( sdtlseqdt0(xm,sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82428,c_50,c_4997]) ).
tcf(c_82502,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xm,X0),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( sdtsldt0(sz00,xm) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82425,c_50,c_4997]) ).
tcf(c_82511,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xm)),sdtsldt0(xn,xr))
| ( xm = sz00 )
| ( X0 = xm )
| ( sdtsldt0(sz00,xm) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(sdtsldt0(sz00,xm))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82424,c_50,c_4997]) ).
tcf(c_82523,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79526,c_104]) ).
tcf(c_82527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79526,c_16382]) ).
tcf(c_82537,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtasdt0(X0,sdtasdt0(xp,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_79526,c_107]) ).
tcf(c_82538,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79526,c_104]) ).
tcf(c_82541,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82537,c_134,c_79414]) ).
tcf(c_82546,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82538,c_134,c_79414]) ).
tcf(c_82552,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82523,c_134,c_79414]) ).
tcf(c_82558,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82527,c_134,c_4997,c_79414]) ).
tcf(c_82571,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79527,c_16055]) ).
tcf(c_82576,plain,
( doDivides0(sdtasdt0(xp,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79527,c_185]) ).
tcf(c_82579,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79527,c_102]) ).
tcf(c_82582,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtasdt0(sdtasdt0(xp,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_79527,c_106]) ).
tcf(c_82583,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79527,c_102]) ).
tcf(c_82584,plain,
doDivides0(sdtasdt0(xp,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_82576,c_134,c_79414]) ).
tcf(c_82585,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82582,c_134,c_79414]) ).
tcf(c_82590,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82583,c_134,c_79414]) ).
tcf(c_82596,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82579,c_134,c_79414]) ).
tcf(c_82602,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82571,c_134,c_4997,c_79414]) ).
tcf(c_82610,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_82584,c_130]) ).
tcf(c_82611,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xm),sdtsldt0(sz00,sdtasdt0(xp,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_82584,c_133]) ).
tcf(c_82613,plain,
( ( sdtasdt0(sdtasdt0(xp,xm),sK1(sdtasdt0(xp,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_82584,c_99]) ).
tcf(c_82615,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_82584,c_114]) ).
tcf(c_82616,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82615,c_134,c_79414]) ).
tcf(c_82620,plain,
sdtasdt0(sdtasdt0(xp,xm),sK1(sdtasdt0(xp,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_82613,c_134,c_79414]) ).
tcf(c_82621,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xm),sdtsldt0(sz00,sdtasdt0(xp,xm))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82611,c_134,c_79414]) ).
tcf(c_82624,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82610,c_134,c_79414]) ).
tcf(c_82629,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79945,c_104]) ).
tcf(c_82633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79945,c_16382]) ).
tcf(c_82643,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ( sdtasdt0(X0,sdtasdt0(xr,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_79945,c_107]) ).
tcf(c_82644,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xr,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79945,c_104]) ).
tcf(c_82647,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xr,xm)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82643,c_134,c_79729]) ).
tcf(c_82652,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xr,xm)))
| ( X0 = sz00 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82644,c_134,c_79729]) ).
tcf(c_82658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82629,c_134,c_79729]) ).
tcf(c_82664,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82633,c_134,c_4997,c_79729]) ).
tcf(c_82727,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xr,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79946,c_16055]) ).
tcf(c_82732,plain,
( doDivides0(sdtasdt0(xr,xm),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79946,c_185]) ).
tcf(c_82735,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xr,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79946,c_102]) ).
tcf(c_82738,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ( sdtasdt0(sdtasdt0(xr,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_79946,c_106]) ).
tcf(c_82739,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xr,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79946,c_102]) ).
tcf(c_82740,plain,
doDivides0(sdtasdt0(xr,xm),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_82732,c_134,c_79729]) ).
tcf(c_82741,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xr,xm),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82738,c_134,c_79729]) ).
tcf(c_82746,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xr,xm),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82739,c_134,c_79729]) ).
tcf(c_82752,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xr,xm),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82735,c_134,c_79729]) ).
tcf(c_82758,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xr,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82727,c_134,c_4997,c_79729]) ).
tcf(c_82766,plain,
! [X0: $i] :
( ( sdtasdt0(xr,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xr,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xr,xm)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_82740,c_130]) ).
tcf(c_82767,plain,
( ( sdtasdt0(xr,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xr,xm),sdtsldt0(sz00,sdtasdt0(xr,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_82740,c_133]) ).
tcf(c_82769,plain,
( ( sdtasdt0(sdtasdt0(xr,xm),sK1(sdtasdt0(xr,xm),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_82740,c_99]) ).
tcf(c_82771,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ doDivides0(X0,sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_82740,c_114]) ).
tcf(c_82772,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82771,c_134,c_79729]) ).
tcf(c_82776,plain,
sdtasdt0(sdtasdt0(xr,xm),sK1(sdtasdt0(xr,xm),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_82769,c_134,c_79729]) ).
tcf(c_82777,plain,
( ( sdtasdt0(xr,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xr,xm),sdtsldt0(sz00,sdtasdt0(xr,xm))) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82767,c_134,c_79729]) ).
tcf(c_82780,plain,
! [X0: $i] :
( ( sdtasdt0(xr,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xr,xm))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xr,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82766,c_134,c_79729]) ).
tcf(c_82785,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sdtasdt0(xp,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79524,c_104]) ).
tcf(c_82786,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79524,c_65238]) ).
tcf(c_82787,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79524,c_28161]) ).
tcf(c_82788,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79524,c_23072]) ).
tcf(c_82789,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_79524,c_16382]) ).
tcf(c_82790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79524,c_16055]) ).
tcf(c_82795,plain,
( doDivides0(sz10,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79524,c_185]) ).
tcf(c_82797,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79524,c_100]) ).
tcf(c_82798,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xp,xm))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79524,c_102]) ).
tcf(c_82799,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtasdt0(X0,sdtasdt0(xp,xm)) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_79524,c_107]) ).
tcf(c_82800,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(X0,sdtasdt0(xp,xm)))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79524,c_104]) ).
tcf(c_82801,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_79524,c_106]) ).
tcf(c_82802,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_79524,c_102]) ).
tcf(c_82803,plain,
doDivides0(sz10,sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_82795,c_138,c_79414]) ).
tcf(c_82804,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82797,c_138,c_79414]) ).
tcf(c_82807,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82786,c_138,c_79414]) ).
tcf(c_82811,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82801,c_139,c_138,c_79414]) ).
tcf(c_82815,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xm)) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82799,c_138,c_79414]) ).
tcf(c_82820,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(sz10,X0))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82802,c_139,c_138,c_79414]) ).
tcf(c_82825,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(X0,sdtasdt0(xp,xm)))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82800,c_138,c_79414]) ).
tcf(c_82831,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82798,c_139,c_138,c_79414]) ).
tcf(c_82836,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sdtasdt0(xp,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82785,c_138,c_79414]) ).
tcf(c_82842,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82788,c_138,c_79414]) ).
tcf(c_82848,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82787,c_138,c_79414]) ).
tcf(c_82854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82790,c_139,c_138,c_79414]) ).
tcf(c_82862,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82789,c_138,c_79414]) ).
tcf(c_82906,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_82803,c_130]) ).
tcf(c_82907,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xp,xm),sz10)) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_82803,c_133]) ).
tcf(c_82909,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_82803,c_99]) ).
tcf(c_82911,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_82803,c_114]) ).
tcf(c_82912,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82911,c_138,c_79414]) ).
tcf(c_82916,plain,
sdtasdt0(sz10,sK1(sz10,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_82909,c_138,c_79414]) ).
tcf(c_82917,plain,
sdtasdt0(sz10,sdtsldt0(sdtasdt0(xp,xm),sz10)) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_82907,c_139,c_138,c_79414]) ).
tcf(c_82918,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82906,c_139,c_138,c_79414]) ).
tcf(c_82925,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(global_subsumption_just,[status(thm)],[c_81309,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_45047,c_56801]) ).
tcf(c_82926,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(renaming,[status(thm)],[c_82925]) ).
tcf(c_82937,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_82926,c_127]) ).
tcf(c_82939,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_41968]) ).
tcf(c_82944,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X0 = sz00 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_82926,c_128]) ).
tcf(c_82945,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_84]) ).
tcf(c_82946,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( X0 = sz00 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_96]) ).
tcf(c_82947,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_80592]) ).
tcf(c_82948,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_45184]) ).
tcf(c_82952,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_82926,c_80549]) ).
tcf(c_82953,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_82926,c_45159]) ).
tcf(c_82961,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xn,sz00),sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_11265]) ).
tcf(c_82965,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,X2)
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_82926,c_127]) ).
tcf(c_82966,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_44165]) ).
tcf(c_82967,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_41968]) ).
tcf(c_82968,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X1,X2))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_38665]) ).
tcf(c_82969,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_35501]) ).
tcf(c_82970,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_82926,c_25716]) ).
tcf(c_82971,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_82926,c_7926]) ).
tcf(c_82972,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| ( X0 = X1 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_82926,c_128]) ).
tcf(c_82973,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_84]) ).
tcf(c_82974,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_96]) ).
tcf(c_82983,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_7326]) ).
tcf(c_82985,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_7322]) ).
tcf(c_82989,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_82926,c_80549]) ).
tcf(c_82990,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_82926,c_45159]) ).
tcf(c_82992,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_7288]) ).
tcf(c_82993,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_7284]) ).
tcf(c_82996,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_7308]) ).
tcf(c_82997,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_7304]) ).
tcf(c_82998,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_7300]) ).
tcf(c_82999,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_7296]) ).
tcf(c_83000,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_7292]) ).
tcf(c_83015,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_11272]) ).
tcf(c_83016,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(sK0(xn,sdtsldt0(xn,xr)),sK0(sK0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_11265]) ).
tcf(c_83020,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_74681]) ).
tcf(c_83021,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_71366]) ).
tcf(c_83022,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_68396]) ).
tcf(c_83023,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_67308]) ).
tcf(c_83024,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_64947]) ).
tcf(c_83025,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_63077]) ).
tcf(c_83026,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_58879]) ).
tcf(c_83027,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_56156]) ).
tcf(c_83028,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_56051]) ).
tcf(c_83029,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_36114]) ).
tcf(c_83030,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_32166]) ).
tcf(c_83031,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_29318]) ).
tcf(c_83032,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_24826]) ).
tcf(c_83033,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_24700]) ).
tcf(c_83035,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_24468]) ).
tcf(c_83036,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_24435]) ).
tcf(c_83037,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_24256]) ).
tcf(c_83038,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(superposition,[status(thm)],[c_82926,c_23651]) ).
tcf(c_83039,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_82926,c_26250]) ).
tcf(c_83059,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83000,c_134]) ).
tcf(c_83064,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82999,c_134]) ).
tcf(c_83069,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82998,c_134]) ).
tcf(c_83074,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82997,c_134]) ).
tcf(c_83079,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82996,c_134]) ).
tcf(c_83084,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82993,c_138]) ).
tcf(c_83089,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82992,c_138]) ).
tcf(c_83094,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82985,c_50]) ).
tcf(c_83099,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82983,c_49]) ).
tcf(c_83134,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( X0 = sz00 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82946,c_134]) ).
tcf(c_83141,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82945,c_134]) ).
tcf(c_83147,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X0 = sz00 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82944,c_134]) ).
tcf(c_83154,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82937,c_134]) ).
tcf(c_83170,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82953,c_134]) ).
tcf(c_83203,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82948,c_134,c_49]) ).
tcf(c_83220,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82939,c_134]) ).
tcf(c_83231,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82952,c_134]) ).
tcf(c_83239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_82947,c_134,c_49]) ).
tcf(c_83254,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(light_normalisation,[status(thm)],[c_82961,c_4693]) ).
tcf(c_83255,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83254,c_134]) ).
tcf(c_83270,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83039,c_49]) ).
tcf(c_83278,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83038,c_49]) ).
tcf(c_83286,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83032,c_49]) ).
tcf(c_83296,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83031,c_49]) ).
tcf(c_83306,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83026,c_49]) ).
tcf(c_83316,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83028,c_49]) ).
tcf(c_83326,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83037,c_49]) ).
tcf(c_83336,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83035,c_49]) ).
tcf(c_83345,plain,
( sdtlseqdt0(sz10,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83027,c_49]) ).
tcf(c_83354,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83023,c_49]) ).
tcf(c_83365,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83036,c_49]) ).
tcf(c_83373,plain,
( sdtlseqdt0(xr,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83033,c_49]) ).
tcf(c_83383,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83025,c_49]) ).
tcf(c_83395,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83024,c_49]) ).
tcf(c_83405,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83022,c_49]) ).
tcf(c_83418,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83021,c_49]) ).
tcf(c_83431,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| iLess0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83030,c_49]) ).
tcf(c_83443,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83029,c_49]) ).
tcf(c_83454,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X2,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83020,c_49]) ).
tcf(c_83533,plain,
( sdtlseqdt0(sz00,xk)
| ( xk = xr )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_69,c_82972]) ).
tcf(c_83536,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_82972]) ).
tcf(c_83537,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_82972]) ).
tcf(c_83538,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_82972]) ).
tcf(c_83539,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_82972]) ).
tcf(c_83540,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_82972]) ).
tcf(c_83541,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_82972]) ).
tcf(c_83542,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_82972]) ).
tcf(c_83543,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_82972]) ).
tcf(c_83544,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_82972]) ).
tcf(c_83545,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_82972]) ).
tcf(c_83546,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| iLess0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_82972]) ).
tcf(c_83547,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_82972]) ).
tcf(c_83548,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| ( X0 = X1 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_82972]) ).
tcf(c_83549,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( X1 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_79,c_82972]) ).
tcf(c_83550,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X2,X1))
| ( X0 = X2 )
| ( sdtpldt0(X0,X1) = sdtpldt0(X2,X1) )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_82972]) ).
tcf(c_83551,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtpldt0(X0,X1) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_188,c_82972]) ).
tcf(c_83552,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_82972]) ).
tcf(c_83553,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,X2))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_82972]) ).
tcf(c_83554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X2 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_82972]) ).
tcf(c_83555,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X2 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_82972]) ).
tcf(c_83556,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X2,X1))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtasdt0(X0,X1) = sdtasdt0(X2,X1) )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_104,c_82972]) ).
tcf(c_83558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_82972]) ).
tcf(c_83559,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_82972]) ).
tcf(c_83560,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_82972]) ).
tcf(c_83561,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_82972]) ).
tcf(c_83562,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_82972]) ).
tcf(c_83563,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_82972]) ).
tcf(c_83564,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = sz10 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25197,c_82972]) ).
tcf(c_83565,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( X0 = sz10 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_82972]) ).
tcf(c_83566,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_135,c_82972]) ).
tcf(c_83587,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_82972]) ).
tcf(c_83588,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_82972]) ).
tcf(c_83589,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_82972]) ).
tcf(c_83605,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_82972]) ).
tcf(c_83606,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_82972]) ).
tcf(c_83607,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_82972]) ).
tcf(c_83608,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31263,c_82972]) ).
tcf(c_83611,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_82972]) ).
tcf(c_83612,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_82972]) ).
tcf(c_83613,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_82972]) ).
tcf(c_83614,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25445,c_82972]) ).
tcf(c_83615,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_82972]) ).
tcf(c_83621,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_82972]) ).
tcf(c_83645,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27750,c_82972]) ).
tcf(c_83646,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21679,c_82972]) ).
tcf(c_83647,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_23072,c_82972]) ).
tcf(c_83655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_82972]) ).
tcf(c_83656,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_82972]) ).
tcf(c_83657,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_82972]) ).
tcf(c_83659,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = xm )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26638,c_82972]) ).
tcf(c_83660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sz00,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X2 = X3 )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_82972]) ).
tcf(c_83661,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26248,c_82972]) ).
tcf(c_83662,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_82972]) ).
tcf(c_83663,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11890,c_82972]) ).
tcf(c_83669,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp) )
| ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_14099,c_82972]) ).
tcf(c_83678,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21012,c_82972]) ).
tcf(c_83684,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_82972]) ).
tcf(c_83685,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sdtpldt0(sz10,xn) )
| ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23712,c_82972]) ).
tcf(c_83687,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24872,c_82972]) ).
tcf(c_83688,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24741,c_82972]) ).
tcf(c_83689,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_41809,c_82972]) ).
tcf(c_83690,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_37282,c_82972]) ).
tcf(c_83691,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_27448,c_82972]) ).
tcf(c_83692,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_28161,c_82972]) ).
tcf(c_83693,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),X0) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_30663,c_82972]) ).
tcf(c_83694,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(sdtsldt0(xn,xr),X0) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(superposition,[status(thm)],[c_31375,c_82972]) ).
tcf(c_83695,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_41692,c_82972]) ).
tcf(c_83696,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29217,c_82972]) ).
tcf(c_83697,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29390,c_82972]) ).
tcf(c_83723,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtpldt0(X0,X1) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56853,c_82972]) ).
tcf(c_83724,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtasdt0(X0,X1) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_65238,c_82972]) ).
tcf(c_83744,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = xm )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79416,c_82972]) ).
tcf(c_83745,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = xm )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79731,c_82972]) ).
tcf(c_83746,plain,
( sdtlseqdt0(sz00,xk)
| ( xk = xr )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83533,c_66]) ).
tcf(c_83751,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = xm )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83659,c_50]) ).
tcf(c_83757,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83645,c_49]) ).
tcf(c_83763,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,sz10)
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83615,c_134]) ).
tcf(c_83769,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83614,c_134]) ).
tcf(c_83775,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83613,c_134]) ).
tcf(c_83781,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xm)
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83612,c_134]) ).
tcf(c_83787,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83611,c_134]) ).
tcf(c_83793,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( X0 = sz10 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83565,c_138]) ).
tcf(c_83799,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( X0 = sz10 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83564,c_138]) ).
tcf(c_83817,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83608,c_134]) ).
tcf(c_83823,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83566,c_138]) ).
tcf(c_83829,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = xm )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83745,c_50,c_79729]) ).
tcf(c_83833,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = xm )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83744,c_50,c_79414]) ).
tcf(c_83899,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83563,c_138]) ).
tcf(c_83922,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83605,c_134]) ).
tcf(c_83949,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtpldt0(xn,sdtpldt0(sz10,xn)) = sdtpldt0(sz10,xn) )
| ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83685,c_5707,c_23711]) ).
tcf(c_83953,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtpldt0(xn,sdtpldt0(xn,xr)) = sdtpldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83678,c_5662,c_21011]) ).
tcf(c_83957,plain,
( sdtlseqdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtpldt0(xn,sdtpldt0(xn,xp)) = sdtpldt0(xn,xp) )
| ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83669,c_5447,c_14098]) ).
tcf(c_84011,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83621,c_66]) ).
tcf(c_84032,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83607,c_134]) ).
tcf(c_84063,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83606,c_134]) ).
tcf(c_84073,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83562,c_138]) ).
tcf(c_84086,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtsldt0(xn,xr),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),X0) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83693,c_134]) ).
tcf(c_84095,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83691,c_134]) ).
tcf(c_84105,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83646,c_49]) ).
tcf(c_84116,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83690,c_134]) ).
tcf(c_84126,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtsldt0(xn,xr),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(sdtsldt0(xn,xr),X0) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xr),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83694,c_134]) ).
tcf(c_84135,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,X1) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83689,c_134]) ).
tcf(c_84165,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83692,c_134]) ).
tcf(c_84176,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(X0,X1) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83647,c_49]) ).
tcf(c_84220,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83662,c_134]) ).
tcf(c_84231,plain,
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sz00 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83661,c_134]) ).
tcf(c_84240,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83695,c_134]) ).
tcf(c_84252,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83696,c_134]) ).
tcf(c_84264,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83688,c_49]) ).
tcf(c_84276,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83697,c_134]) ).
tcf(c_84289,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83687,c_49]) ).
tcf(c_84507,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_82973]) ).
tcf(c_84508,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xm)) = xm )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_82973]) ).
tcf(c_84509,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ( sdtpldt0(xp,sK0(xp,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_82973]) ).
tcf(c_84510,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xr)) = xr )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_66,c_82973]) ).
tcf(c_84511,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| ( sdtpldt0(X2,sK0(X2,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_82973]) ).
tcf(c_84512,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| ( sdtpldt0(X2,sK0(X2,sK0(X0,X1))) = sK0(X0,X1) )
| ( sdtpldt0(sK0(X0,X1),sK0(sK0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_82973]) ).
tcf(c_84513,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| ( sdtpldt0(X2,sK0(X2,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_82973]) ).
tcf(c_84514,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| ( sdtpldt0(X2,sK0(X2,sK1(X0,X1))) = sK1(X0,X1) )
| ( sdtpldt0(sK1(X0,X1),sK0(sK1(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_82973]) ).
tcf(c_84515,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(X1,sK0(X1,sK2(X0))) = sK2(X0) )
| ( sdtpldt0(sK2(X0),sK0(sK2(X0),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_82973]) ).
tcf(c_84516,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| sdtlseqdt0(sz00,X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(X1,sK0(X1,sK3(X0))) = sK3(X0) )
| ( sdtpldt0(sK3(X0),sK0(sK3(X0),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_82973]) ).
tcf(c_84517,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sz00)) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_82973]) ).
tcf(c_84518,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sz10)) = sz10 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_82973]) ).
tcf(c_84519,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X2)
| ( X0 = sz00 )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(X1,X0))) = sdtsldt0(X1,X0) )
| ( sdtpldt0(sdtsldt0(X1,X0),sK0(sdtsldt0(X1,X0),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_82973]) ).
tcf(c_84520,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ( sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5404,c_82973]) ).
tcf(c_84521,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5447,c_82973]) ).
tcf(c_84522,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5662,c_82973]) ).
tcf(c_84523,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5707,c_82973]) ).
tcf(c_84524,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtpldt0(xn,sdtpldt0(xn,xm)) )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sK0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5784,c_82973]) ).
tcf(c_84525,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ( sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62530,c_82973]) ).
tcf(c_84526,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))) = sdtpldt0(xn,sdtpldt0(xn,xp)) )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sK0(sdtpldt0(xn,sdtpldt0(xn,xp)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14098,c_82973]) ).
tcf(c_84527,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtpldt0(xn,sdtpldt0(xn,xr)) )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sK0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21011,c_82973]) ).
tcf(c_84528,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))) = sdtpldt0(xn,sdtpldt0(sz10,xn)) )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sK0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23711,c_82973]) ).
tcf(c_84529,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ( sdtpldt0(sdtpldt0(xp,xm),sK0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28961,c_82973]) ).
tcf(c_84530,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sK0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29666,c_82973]) ).
tcf(c_84531,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ( sdtpldt0(sdtpldt0(xr,xm),sK0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30030,c_82973]) ).
tcf(c_84532,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ( sdtpldt0(sdtpldt0(sz10,xm),sK0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30349,c_82973]) ).
tcf(c_84533,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr) )
| ( sdtpldt0(sdtpldt0(xp,xr),sK0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41038,c_82973]) ).
tcf(c_84534,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ( sdtpldt0(sdtpldt0(sz10,xp),sK0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41228,c_82973]) ).
tcf(c_84535,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ( sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79414,c_82973]) ).
tcf(c_84536,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ( sdtpldt0(sdtasdt0(xn,xp),sK0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62887,c_82973]) ).
tcf(c_84537,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ( sdtpldt0(sdtpldt0(sz10,xr),sK0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49199,c_82973]) ).
tcf(c_84538,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ( sdtpldt0(sdtasdt0(xn,xr),sK0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64495,c_82973]) ).
tcf(c_84539,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) )
| ( sdtpldt0(sdtasdt0(xr,xm),sK0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79729,c_82973]) ).
tcf(c_84946,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81640,c_75]) ).
tcf(c_84947,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X1)
| iLess0(X1,X2)
| ( X1 = X2 )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_127]) ).
tcf(c_84948,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_82972]) ).
tcf(c_84950,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_41968]) ).
tcf(c_84955,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_128]) ).
tcf(c_84956,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_84]) ).
tcf(c_84957,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| iLess0(sdtsldt0(xn,xr),X0)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_96]) ).
tcf(c_84958,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_80592]) ).
tcf(c_84959,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_45184]) ).
tcf(c_84960,plain,
! [X0: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( X0 = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_7326]) ).
tcf(c_84961,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_13991]) ).
tcf(c_84962,plain,
! [X0: $i] :
( iLess0(xm,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( X0 = xm )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_7322]) ).
tcf(c_84963,plain,
! [X0: $i,X1: $i,X2: $i] :
( iLess0(X0,X1)
| sdtlseqdt0(sz00,sdtpldt0(X0,X2))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_81640,c_41532]) ).
tcf(c_84964,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,xn) ),
inference(superposition,[status(thm)],[c_81640,c_34545]) ).
tcf(c_84965,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_8200]) ).
tcf(c_84966,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X1)
| iLess0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_80549]) ).
tcf(c_84967,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| iLess0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_45159]) ).
tcf(c_84968,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( X0 = sz10 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_7288]) ).
tcf(c_84969,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( X0 = sz10 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_7284]) ).
tcf(c_84970,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( X0 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_7308]) ).
tcf(c_84971,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( X0 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_7304]) ).
tcf(c_84972,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( X0 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_7300]) ).
tcf(c_84973,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( X0 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_7296]) ).
tcf(c_84974,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ( X0 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_7292]) ).
tcf(c_84975,plain,
! [X0: $i] :
( iLess0(sK0(xn,sdtsldt0(xn,xr)),X0)
| sdtlseqdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = X0 )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_81640,c_11265]) ).
tcf(c_84976,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84946,c_49]) ).
tcf(c_84982,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ( X0 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84974,c_134]) ).
tcf(c_84989,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( X0 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84973,c_134]) ).
tcf(c_84996,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( X0 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84972,c_134]) ).
tcf(c_85003,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( X0 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84971,c_134]) ).
tcf(c_85010,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( X0 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84970,c_134]) ).
tcf(c_85017,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( X0 = sz10 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84969,c_138]) ).
tcf(c_85024,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( X0 = sz10 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84968,c_138]) ).
tcf(c_85031,plain,
! [X0: $i] :
( iLess0(xm,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( X0 = xm )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84962,c_50]) ).
tcf(c_85038,plain,
! [X0: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( X0 = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84960,c_49]) ).
tcf(c_85111,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84959,c_49]) ).
tcf(c_85142,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84958,c_49]) ).
tcf(c_85165,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xn)),sz00)
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_9833,c_104]) ).
tcf(c_85166,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_9833,c_65238]) ).
tcf(c_85168,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9833,c_23072]) ).
tcf(c_85169,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xn)),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9833,c_16382]) ).
tcf(c_85170,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_9833,c_16055]) ).
tcf(c_85173,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_9833,c_9145]) ).
tcf(c_85174,plain,
( ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_9833,c_105]) ).
tcf(c_85177,plain,
( sdtlseqdt0(xn,sz00)
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_9833,c_100]) ).
tcf(c_85178,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_9833,c_102]) ).
tcf(c_85179,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ( sdtasdt0(X0,sdtsldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9833,c_107]) ).
tcf(c_85180,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xn)))
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_9833,c_104]) ).
tcf(c_85181,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9833,c_106]) ).
tcf(c_85182,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ sdtlseqdt0(sdtsldt0(sz00,xn),X0) ),
inference(superposition,[status(thm)],[c_9833,c_102]) ).
tcf(c_85183,plain,
( ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85174,c_49]) ).
tcf(c_85188,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85181,c_49]) ).
tcf(c_85195,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ sdtlseqdt0(sdtsldt0(sz00,xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85182,c_49]) ).
tcf(c_85202,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sz00)
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85178,c_49]) ).
tcf(c_85209,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ( sdtasdt0(X0,sdtsldt0(sz00,xn)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85179,c_49]) ).
tcf(c_85216,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xn)))
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85180,c_49]) ).
tcf(c_85224,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xn)),sz00)
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85165,c_49]) ).
tcf(c_85240,plain,
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85173,c_49,c_4997]) ).
tcf(c_85247,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85170,c_49,c_4997]) ).
tcf(c_85256,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xn)),sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = xn )
| ( sdtsldt0(sz00,xn) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xn))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85169,c_49,c_4997]) ).
tcf(c_85327,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xp,xm))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79525,c_104]) ).
tcf(c_85328,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79525,c_65238]) ).
tcf(c_85329,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79525,c_28161]) ).
tcf(c_85330,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79525,c_23072]) ).
tcf(c_85331,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79525,c_16382]) ).
tcf(c_85332,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_79525,c_16055]) ).
tcf(c_85335,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_79525,c_9145]) ).
tcf(c_85337,plain,
( doDivides0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79525,c_185]) ).
tcf(c_85339,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79525,c_100]) ).
tcf(c_85340,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sdtasdt0(xp,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79525,c_102]) ).
tcf(c_85341,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_79525,c_107]) ).
tcf(c_85342,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_79525,c_104]) ).
tcf(c_85343,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtasdt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_79525,c_106]) ).
tcf(c_85344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(sdtasdt0(xp,xm),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79525,c_102]) ).
tcf(c_85345,plain,
doDivides0(sdtasdt0(xp,xm),sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_85337,c_138,c_79414]) ).
tcf(c_85346,plain,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_85339,c_139,c_138,c_79414]) ).
tcf(c_85347,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85328,c_139,c_138,c_79414]) ).
tcf(c_85350,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85341,c_139,c_138,c_79414]) ).
tcf(c_85354,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85343,c_138,c_79414]) ).
tcf(c_85359,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(sdtasdt0(xp,xm),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85344,c_138,c_79414]) ).
tcf(c_85365,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(X0,sz10))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85342,c_139,c_138,c_79414]) ).
tcf(c_85370,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sdtasdt0(xp,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85340,c_138,c_79414]) ).
tcf(c_85376,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85327,c_139,c_138,c_79414]) ).
tcf(c_85381,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85330,c_139,c_138,c_79414]) ).
tcf(c_85386,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85329,c_139,c_138,c_79414]) ).
tcf(c_85391,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85335,c_139,c_138,c_79414]) ).
tcf(c_85396,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85332,c_138,c_79414]) ).
tcf(c_85405,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85331,c_139,c_138,c_79414]) ).
tcf(c_85469,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85345,c_130]) ).
tcf(c_85470,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xm),sdtsldt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85345,c_133]) ).
tcf(c_85472,plain,
( ( sdtasdt0(sdtasdt0(xp,xm),sK1(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85345,c_99]) ).
tcf(c_85475,plain,
sdtasdt0(sdtasdt0(xp,xm),sK1(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_85472,c_79414]) ).
tcf(c_85476,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xm),sdtsldt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85470,c_79414]) ).
tcf(c_85479,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xm)),sdtasdt0(xp,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85469,c_79414]) ).
tcf(c_85487,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85346,c_41968]) ).
tcf(c_85488,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xp,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85346,c_38665]) ).
tcf(c_85489,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85346,c_35501]) ).
tcf(c_85490,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85346,c_25716]) ).
tcf(c_85491,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_85346,c_7926]) ).
tcf(c_85493,plain,
( ( sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85346,c_84]) ).
tcf(c_85495,plain,
sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_85493,c_79414]) ).
tcf(c_85496,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85489,c_79414]) ).
tcf(c_85500,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xp,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85488,c_79414]) ).
tcf(c_85506,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85487,c_79414]) ).
tcf(c_85512,plain,
( sdtlseqdt0(sz10,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85490,c_79414]) ).
tcf(c_85519,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xm)),sdtasdt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79528,c_81]) ).
tcf(c_85526,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_79528,c_13445]) ).
tcf(c_85527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79528,c_13129]) ).
tcf(c_85533,plain,
( sdtlseqdt0(sz00,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79528,c_188]) ).
tcf(c_85535,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_79528,c_79]) ).
tcf(c_85536,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79528,c_79]) ).
tcf(c_85537,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtpldt0(X0,sdtasdt0(xp,xm)) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_79528,c_88]) ).
tcf(c_85539,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(X0,sdtasdt0(xp,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79528,c_81]) ).
tcf(c_85540,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_79528,c_87]) ).
tcf(c_85541,plain,
sdtlseqdt0(sz00,sdtasdt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_85533,c_134,c_79414]) ).
tcf(c_85542,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85540,c_134,c_79414]) ).
tcf(c_85546,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xp,xm)) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85537,c_134,c_79414]) ).
tcf(c_85550,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(X0,sdtasdt0(xp,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85539,c_134,c_79414]) ).
tcf(c_85555,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xm)),sdtasdt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85519,c_134,c_79414]) ).
tcf(c_85560,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85536,c_134,c_79414]) ).
tcf(c_85565,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85535,c_134,c_79414]) ).
tcf(c_85570,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xp,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85526,c_134,c_79414]) ).
tcf(c_85578,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85527,c_134,c_79414]) ).
tcf(c_85623,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85541,c_127]) ).
tcf(c_85631,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sz00) ),
inference(superposition,[status(thm)],[c_85541,c_128]) ).
tcf(c_85632,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85541,c_84]) ).
tcf(c_85633,plain,
( iLess0(sz00,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85541,c_96]) ).
tcf(c_85634,plain,
( iLess0(sz00,sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85633,c_134,c_79414]) ).
tcf(c_85637,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_85632,c_134,c_79414]) ).
tcf(c_85638,plain,
( ( sdtasdt0(xp,xm) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85631,c_134,c_79414]) ).
tcf(c_85641,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85623,c_134,c_79414]) ).
tcf(c_85650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79529,c_81]) ).
tcf(c_85656,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79529,c_21679]) ).
tcf(c_85657,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79529,c_13445]) ).
tcf(c_85658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_79529,c_13129]) ).
tcf(c_85661,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_79529,c_8360]) ).
tcf(c_85666,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(sdtasdt0(xp,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79529,c_79]) ).
tcf(c_85667,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xm),X0),sdtasdt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79529,c_79]) ).
tcf(c_85668,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_79529,c_88]) ).
tcf(c_85670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(superposition,[status(thm)],[c_79529,c_81]) ).
tcf(c_85671,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ( sdtpldt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xm) ) ),
inference(superposition,[status(thm)],[c_79529,c_87]) ).
tcf(c_85672,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85671,c_134,c_79414]) ).
tcf(c_85676,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xp,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85668,c_134,c_79414]) ).
tcf(c_85680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xm),X0),sdtasdt0(xp,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85667,c_134,c_79414]) ).
tcf(c_85685,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(sdtasdt0(xp,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85666,c_134,c_79414]) ).
tcf(c_85690,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85670,c_134,c_79414]) ).
tcf(c_85695,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85650,c_134,c_79414]) ).
tcf(c_85702,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xp,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85658,c_134,c_79414]) ).
tcf(c_85710,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85657,c_134,c_79414]) ).
tcf(c_85777,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sdtasdt0(xr,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79943,c_104]) ).
tcf(c_85778,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79943,c_65238]) ).
tcf(c_85779,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79943,c_28161]) ).
tcf(c_85780,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79943,c_23072]) ).
tcf(c_85781,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_79943,c_16382]) ).
tcf(c_85782,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79943,c_16055]) ).
tcf(c_85787,plain,
( doDivides0(sz10,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79943,c_185]) ).
tcf(c_85789,plain,
( sdtlseqdt0(sz10,sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79943,c_100]) ).
tcf(c_85790,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xr,xm))
| ( sz00 = sz10 )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79943,c_102]) ).
tcf(c_85791,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ( sdtasdt0(X0,sdtasdt0(xr,xm)) != sdtasdt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_79943,c_107]) ).
tcf(c_85792,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(X0,sdtasdt0(xr,xm)))
| ( X0 = sz10 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79943,c_104]) ).
tcf(c_85793,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ( sdtasdt0(sz10,X0) != sdtasdt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_79943,c_106]) ).
tcf(c_85794,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(sz10,X0))
| ( sz00 = sz10 )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_79943,c_102]) ).
tcf(c_85795,plain,
doDivides0(sz10,sdtasdt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_85787,c_138,c_79729]) ).
tcf(c_85796,plain,
( sdtlseqdt0(sz10,sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85789,c_138,c_79729]) ).
tcf(c_85799,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85778,c_138,c_79729]) ).
tcf(c_85803,plain,
! [X0: $i] :
( ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sz10,X0) != sdtasdt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85793,c_139,c_138,c_79729]) ).
tcf(c_85807,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xr,xm)) != sdtasdt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85791,c_138,c_79729]) ).
tcf(c_85812,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(sz10,X0))
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85794,c_139,c_138,c_79729]) ).
tcf(c_85817,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(X0,sdtasdt0(xr,xm)))
| ( X0 = sz10 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85792,c_138,c_79729]) ).
tcf(c_85823,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85790,c_139,c_138,c_79729]) ).
tcf(c_85828,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sdtasdt0(xr,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85777,c_138,c_79729]) ).
tcf(c_85834,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85780,c_138,c_79729]) ).
tcf(c_85840,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85779,c_138,c_79729]) ).
tcf(c_85846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sz10,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85782,c_139,c_138,c_79729]) ).
tcf(c_85854,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85781,c_138,c_79729]) ).
tcf(c_85901,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sz10) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_85795,c_130]) ).
tcf(c_85902,plain,
( ( sz00 = sz10 )
| ( sdtasdt0(sz10,sdtsldt0(sdtasdt0(xr,xm),sz10)) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_85795,c_133]) ).
tcf(c_85904,plain,
( ( sdtasdt0(sz10,sK1(sz10,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_85795,c_99]) ).
tcf(c_85906,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_85795,c_114]) ).
tcf(c_85907,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85906,c_138,c_79729]) ).
tcf(c_85911,plain,
sdtasdt0(sz10,sK1(sz10,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_85904,c_138,c_79729]) ).
tcf(c_85912,plain,
sdtasdt0(sz10,sdtsldt0(sdtasdt0(xr,xm),sz10)) = sdtasdt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_85902,c_139,c_138,c_79729]) ).
tcf(c_85913,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,xm),sz10)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sz10) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85901,c_139,c_138,c_79729]) ).
tcf(c_85918,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtsldt0(xn,xr) = xn ) ),
inference(global_subsumption_just,[status(thm)],[c_84976,c_134,c_66,c_49,c_74,c_144,c_75,c_161,c_1657,c_5772,c_5773,c_6066,c_14020,c_33249,c_43889,c_61020]) ).
tcf(c_85919,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(renaming,[status(thm)],[c_85918]) ).
tcf(c_85928,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(global_subsumption_just,[status(thm)],[c_84965,c_52012,c_81640]) ).
tcf(c_85944,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44344,c_85928]) ).
tcf(c_85945,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_85928]) ).
tcf(c_85946,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_85928]) ).
tcf(c_85949,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| iLess0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_85928]) ).
tcf(c_85950,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| iLess0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_85928]) ).
tcf(c_85951,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| iLess0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_85928]) ).
tcf(c_85952,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_85928]) ).
tcf(c_85953,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_85928]) ).
tcf(c_85954,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_85928]) ).
tcf(c_85955,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| iLess0(xn,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_85928]) ).
tcf(c_85956,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_85928]) ).
tcf(c_85958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X1,X0)
| iLess0(X0,X3)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X3 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_85928]) ).
tcf(c_85959,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| iLess0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_85928]) ).
tcf(c_85961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| iLess0(X0,X3)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = X3 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_85928]) ).
tcf(c_85962,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| iLess0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_85928]) ).
tcf(c_85963,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44185,c_85928]) ).
tcf(c_85964,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_85928]) ).
tcf(c_85965,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sz10,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X2 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_85928]) ).
tcf(c_85966,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sz10,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_85928]) ).
tcf(c_85968,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_85928]) ).
tcf(c_85969,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( xn = sz10 )
| ( xn = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_135,c_85928]) ).
tcf(c_85972,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( xn = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5493,c_85928]) ).
tcf(c_85973,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_85928]) ).
tcf(c_85974,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,X0)
| iLess0(sdtsldt0(xn,xr),X1)
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_85928]) ).
tcf(c_85975,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_80591,c_85928]) ).
tcf(c_85976,plain,
! [X0: $i] :
( iLess0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_45037,c_85928]) ).
tcf(c_85977,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_43873,c_85928]) ).
tcf(c_85978,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sz00,X1)
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_85928]) ).
tcf(c_85979,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sz00,X1)
| iLess0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_85928]) ).
tcf(c_85980,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_85928]) ).
tcf(c_85981,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| ( xn = sz10 )
| ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31263,c_85928]) ).
tcf(c_85983,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_26221,c_85928]) ).
tcf(c_85985,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_85928]) ).
tcf(c_85986,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_85928]) ).
tcf(c_85988,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sz10)
| iLess0(sz00,X0)
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_85928]) ).
tcf(c_85989,plain,
! [X0: $i] :
( iLess0(xr,X0)
| ( xn = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5982,c_85928]) ).
tcf(c_85990,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(xr,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X1 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_85928]) ).
tcf(c_85991,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(xn,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X2 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_85928]) ).
tcf(c_85992,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(xn,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_85928]) ).
tcf(c_85994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),X3)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X3 )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_85928]) ).
tcf(c_85995,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X2 )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_85928]) ).
tcf(c_85996,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_85928]) ).
tcf(c_85998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| iLess0(X2,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X2 = X3 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_85928]) ).
tcf(c_86006,plain,
! [X0: $i] :
( iLess0(xr,X0)
| ( xn = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85989,c_66]) ).
tcf(c_86013,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( xn = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85972,c_138]) ).
tcf(c_86023,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| iLess0(sz10,X0)
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85968,c_138,c_49]) ).
tcf(c_86030,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85964,c_49]) ).
tcf(c_86038,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(xn,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85992,c_49]) ).
tcf(c_86047,plain,
! [X0: $i] :
( iLess0(sz00,X0)
| ( xn = sz10 )
| ( xn = sz00 )
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85981,c_134,c_49]) ).
tcf(c_86055,plain,
! [X0: $i] :
( iLess0(sz10,X0)
| ( xn = sz10 )
| ( xn = sz00 )
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85969,c_138,c_49]) ).
tcf(c_86063,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| iLess0(xn,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85955,c_49]) ).
tcf(c_86072,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85954,c_49]) ).
tcf(c_86081,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| iLess0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85953,c_49]) ).
tcf(c_86097,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85963,c_49]) ).
tcf(c_86107,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sz10,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85966,c_138,c_49]) ).
tcf(c_86116,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| iLess0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85951,c_49]) ).
tcf(c_86126,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85956,c_49]) ).
tcf(c_86136,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(xn,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X2 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85991,c_49]) ).
tcf(c_86147,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| iLess0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85950,c_49]) ).
tcf(c_86158,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(xn,X1)
| iLess0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85949,c_49]) ).
tcf(c_86169,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85946,c_49]) ).
tcf(c_86180,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| iLess0(X1,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X1 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85945,c_49]) ).
tcf(c_86191,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(xr,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( xn = sz00 )
| ( X1 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85990,c_66,c_49]) ).
tcf(c_86201,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85983,c_134,c_49]) ).
tcf(c_86211,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,X1)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85980,c_134,c_49]) ).
tcf(c_86220,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| iLess0(X0,X2)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85962,c_49]) ).
tcf(c_86231,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| iLess0(X0,X2)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X2 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85959,c_49]) ).
tcf(c_86242,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85996,c_49]) ).
tcf(c_86252,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sz00,X1)
| iLess0(X0,sdtsldt0(xn,xr))
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85979,c_134,c_49]) ).
tcf(c_86262,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sz10,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| ( X2 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85965,c_138,c_49]) ).
tcf(c_86273,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ( X0 = X1 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85952,c_49]) ).
tcf(c_86282,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sz00,X1)
| ( X1 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85978,c_134,c_49]) ).
tcf(c_86291,plain,
! [X0: $i] :
( iLess0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85976,c_49]) ).
tcf(c_86299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| iLess0(X2,X3)
| sdtlseqdt0(xn,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X2 = X3 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85998,c_49]) ).
tcf(c_86312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X2)
| iLess0(X0,X3)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = X3 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85961,c_49]) ).
tcf(c_86325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X1,X0)
| iLess0(X0,X3)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = X3 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85958,c_49]) ).
tcf(c_86338,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X2 )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85995,c_49]) ).
tcf(c_86350,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85975,c_49]) ).
tcf(c_86360,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,X0)
| iLess0(sdtsldt0(xn,xr),X1)
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85974,c_49]) ).
tcf(c_86371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| iLess0(sdtsldt0(xn,xr),X3)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X3 )
| ( sdtpldt0(X3,sK0(X3,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85994,c_49]) ).
tcf(c_86462,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(global_subsumption_just,[status(thm)],[c_85391,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_33249,c_85391]) ).
tcf(c_86470,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_86462,c_127]) ).
tcf(c_86476,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_86462,c_25716]) ).
tcf(c_86477,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_86462,c_7926]) ).
tcf(c_86478,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_86462,c_128]) ).
tcf(c_86479,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_86462,c_84]) ).
tcf(c_86480,plain,
( iLess0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_86462,c_96]) ).
tcf(c_86481,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_86462,c_80549]) ).
tcf(c_86482,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(superposition,[status(thm)],[c_86462,c_45159]) ).
tcf(c_86483,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86482,c_79414]) ).
tcf(c_86490,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86470,c_79414]) ).
tcf(c_86497,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86481,c_79414]) ).
tcf(c_86503,plain,
( iLess0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86480,c_79414]) ).
tcf(c_86509,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86479,c_79414]) ).
tcf(c_86514,plain,
( ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xp,xm) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86478,c_79414]) ).
tcf(c_86520,plain,
( sdtlseqdt0(sz10,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86476,c_79414]) ).
tcf(c_86552,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(global_subsumption_just,[status(thm)],[c_81638,c_134,c_66,c_49,c_74,c_144,c_161,c_1657,c_6066,c_31063,c_33249,c_44165]) ).
tcf(c_86553,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_86552]) ).
tcf(c_86566,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xk)
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_69,c_86553]) ).
tcf(c_86569,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_86553]) ).
tcf(c_86570,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_86553]) ).
tcf(c_86571,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_86553]) ).
tcf(c_86572,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_80591,c_86553]) ).
tcf(c_86573,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_86553]) ).
tcf(c_86574,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57164,c_86553]) ).
tcf(c_86575,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( xn = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56335,c_86553]) ).
tcf(c_86576,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46367,c_86553]) ).
tcf(c_86577,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_86553]) ).
tcf(c_86578,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45185,c_86553]) ).
tcf(c_86579,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_86553]) ).
tcf(c_86581,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_86553]) ).
tcf(c_86582,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X2))
| ( X1 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_79,c_86553]) ).
tcf(c_86583,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X2,X1))
| ( X0 = X2 )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_86553]) ).
tcf(c_86584,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_188,c_86553]) ).
tcf(c_86585,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_100,c_86553]) ).
tcf(c_86586,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X2))
| ( X1 = X2 )
| ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_102,c_86553]) ).
tcf(c_86587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_86553]) ).
tcf(c_86588,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X2)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_86553]) ).
tcf(c_86589,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X2,X1))
| ( X1 = sz00 )
| ( X0 = X2 )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_104,c_86553]) ).
tcf(c_86591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_86553]) ).
tcf(c_86592,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_48068,c_86553]) ).
tcf(c_86595,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_57570,c_86553]) ).
tcf(c_86596,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_56154,c_86553]) ).
tcf(c_86599,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_135,c_86553]) ).
tcf(c_86600,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4992,c_86553]) ).
tcf(c_86601,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5002,c_86553]) ).
tcf(c_86602,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_5001,c_86553]) ).
tcf(c_86603,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(xp,sK0(xp,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_5000,c_86553]) ).
tcf(c_86604,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_4999,c_86553]) ).
tcf(c_86605,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4998,c_86553]) ).
tcf(c_86606,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_4997,c_86553]) ).
tcf(c_86607,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4996,c_86553]) ).
tcf(c_86612,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5405,c_86553]) ).
tcf(c_86613,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtpldt0(xp,sK0(xp,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5448,c_86553]) ).
tcf(c_86614,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( xn = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5493,c_86553]) ).
tcf(c_86615,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( xm = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_5490,c_86553]) ).
tcf(c_86618,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_86553]) ).
tcf(c_86619,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_86553]) ).
tcf(c_86620,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_81640,c_86553]) ).
tcf(c_86624,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5663,c_86553]) ).
tcf(c_86625,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_5708,c_86553]) ).
tcf(c_86639,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_82926,c_86553]) ).
tcf(c_86640,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38195,c_86553]) ).
tcf(c_86641,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36070,c_86553]) ).
tcf(c_86642,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31263,c_86553]) ).
tcf(c_86651,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_5785,c_86553]) ).
tcf(c_86652,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_5982,c_86553]) ).
tcf(c_86653,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_86553]) ).
tcf(c_86654,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_86553]) ).
tcf(c_86656,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27750,c_86553]) ).
tcf(c_86657,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26638,c_86553]) ).
tcf(c_86658,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25445,c_86553]) ).
tcf(c_86659,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25197,c_86553]) ).
tcf(c_86660,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_86553]) ).
tcf(c_86661,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_6800,c_86553]) ).
tcf(c_86662,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_7238,c_86553]) ).
tcf(c_86689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_59490,c_86553]) ).
tcf(c_86690,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_48068,c_86553]) ).
tcf(c_86691,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_44185,c_86553]) ).
tcf(c_86694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(X3,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X3)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_59490,c_86553]) ).
tcf(c_86695,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26248,c_86553]) ).
tcf(c_86696,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_86553]) ).
tcf(c_86697,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr))))
| ( X0 = xn )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(X0,sK0(xn,sdtsldt0(xn,xr)))) ),
inference(superposition,[status(thm)],[c_11890,c_86553]) ).
tcf(c_86703,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_14099,c_86553]) ).
tcf(c_86704,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_27747,c_86553]) ).
tcf(c_86705,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_16748,c_86553]) ).
tcf(c_86706,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_17666,c_86553]) ).
tcf(c_86710,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_33751,c_86553]) ).
tcf(c_86711,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20734,c_86553]) ).
tcf(c_86712,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21012,c_86553]) ).
tcf(c_86713,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21305,c_86553]) ).
tcf(c_86714,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22212,c_86553]) ).
tcf(c_86715,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn)) ),
inference(superposition,[status(thm)],[c_22409,c_86553]) ).
tcf(c_86718,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_26249,c_86553]) ).
tcf(c_86719,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23712,c_86553]) ).
tcf(c_86721,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24872,c_86553]) ).
tcf(c_86722,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_24741,c_86553]) ).
tcf(c_86724,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_37282,c_86553]) ).
tcf(c_86729,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_41692,c_86553]) ).
tcf(c_86730,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29217,c_86553]) ).
tcf(c_86731,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(superposition,[status(thm)],[c_29390,c_86553]) ).
tcf(c_86733,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28962,c_86553]) ).
tcf(c_86735,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30031,c_86553]) ).
tcf(c_86737,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30350,c_86553]) ).
tcf(c_86741,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_32010,c_86553]) ).
tcf(c_86742,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_34867,c_86553]) ).
tcf(c_86743,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_36826,c_86553]) ).
tcf(c_86744,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtpldt0(sdtpldt0(xp,xm),sK0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_33924,c_86553]) ).
tcf(c_86745,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtpldt0(sdtpldt0(xr,xm),sK0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_35085,c_86553]) ).
tcf(c_86746,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtpldt0(sdtpldt0(sz10,xm),sK0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37655,c_86553]) ).
tcf(c_86748,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41039,c_86553]) ).
tcf(c_86749,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43794,c_86553]) ).
tcf(c_86751,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtpldt0(xp,sK0(xp,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41229,c_86553]) ).
tcf(c_86752,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46674,c_86553]) ).
tcf(c_86757,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_56853,c_86553]) ).
tcf(c_86758,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_65238,c_86553]) ).
tcf(c_86759,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtpldt0(sdtpldt0(xp,xr),sK0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46067,c_86553]) ).
tcf(c_86760,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtpldt0(sdtpldt0(sz10,xp),sK0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46984,c_86553]) ).
tcf(c_86762,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49200,c_86553]) ).
tcf(c_86763,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56549,c_86553]) ).
tcf(c_86765,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtpldt0(sdtpldt0(sz10,xr),sK0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_58414,c_86553]) ).
tcf(c_86766,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_70765,c_86553]) ).
tcf(c_86767,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62532,c_86553]) ).
tcf(c_86768,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73890,c_86553]) ).
tcf(c_86769,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtpldt0(xp,sK0(xp,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62889,c_86553]) ).
tcf(c_86770,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78545,c_86553]) ).
tcf(c_86771,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64497,c_86553]) ).
tcf(c_86775,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67890,c_86553]) ).
tcf(c_86776,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( sdtpldt0(sdtasdt0(xn,xp),sK0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73745,c_86553]) ).
tcf(c_86777,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr))
| ( sdtpldt0(sdtasdt0(xn,xr),sK0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78341,c_86553]) ).
tcf(c_86778,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85541,c_86553]) ).
tcf(c_86779,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79416,c_86553]) ).
tcf(c_86780,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79731,c_86553]) ).
tcf(c_86782,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85346,c_86553]) ).
tcf(c_86783,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86605,c_138]) ).
tcf(c_86786,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86604,c_66]) ).
tcf(c_86789,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(xp,sK0(xp,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86603,c_51]) ).
tcf(c_86792,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86602,c_50]) ).
tcf(c_86795,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86601,c_49]) ).
tcf(c_86798,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86600,c_134]) ).
tcf(c_86801,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86607,c_134,c_50]) ).
tcf(c_86804,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86606,c_134,c_49]) ).
tcf(c_86807,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xk)
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86566,c_66]) ).
tcf(c_86811,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),sz10)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86660,c_138]) ).
tcf(c_86816,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86659,c_51]) ).
tcf(c_86821,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86658,c_51]) ).
tcf(c_86826,plain,
! [X0: $i] :
( sdtlseqdt0(xm,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86657,c_51]) ).
tcf(c_86831,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86656,c_51]) ).
tcf(c_86836,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86654,c_66]) ).
tcf(c_86841,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xr)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86653,c_66]) ).
tcf(c_86846,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86619,c_50]) ).
tcf(c_86851,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sdtpldt0(X0,sK0(X0,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86618,c_49]) ).
tcf(c_86861,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86780,c_50,c_79729]) ).
tcf(c_86864,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86779,c_50,c_79414]) ).
tcf(c_86867,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86778,c_134,c_79414]) ).
tcf(c_86870,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86770,c_134,c_64495]) ).
tcf(c_86873,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86768,c_134,c_62887]) ).
tcf(c_86876,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86766,c_134,c_62530]) ).
tcf(c_86879,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86763,c_138,c_49199]) ).
tcf(c_86882,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86762,c_66,c_49199]) ).
tcf(c_86885,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86752,c_138,c_41228]) ).
tcf(c_86888,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtpldt0(xp,sK0(xp,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86751,c_51,c_41228]) ).
tcf(c_86891,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86749,c_138,c_41038]) ).
tcf(c_86894,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86748,c_66,c_41038]) ).
tcf(c_86897,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86743,c_138,c_30349]) ).
tcf(c_86900,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86742,c_138,c_30030]) ).
tcf(c_86903,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86741,c_138,c_28961]) ).
tcf(c_86906,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86737,c_50,c_30349]) ).
tcf(c_86909,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86735,c_50,c_30030]) ).
tcf(c_86912,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86733,c_50,c_28961]) ).
tcf(c_86915,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86714,c_138,c_5707]) ).
tcf(c_86918,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86711,c_138,c_5662]) ).
tcf(c_86921,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86705,c_138,c_5447]) ).
tcf(c_86924,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xp)
| ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86704,c_66,c_51]) ).
tcf(c_86928,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86662,c_134,c_5404]) ).
tcf(c_86931,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86652,c_66,c_49]) ).
tcf(c_86935,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86625,c_49,c_5707]) ).
tcf(c_86938,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86624,c_66,c_5662]) ).
tcf(c_86941,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xm)
| ( xm = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86615,c_138,c_50]) ).
tcf(c_86945,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( xn = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86614,c_138,c_49]) ).
tcf(c_86949,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtpldt0(xp,sK0(xp,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86613,c_51,c_5447]) ).
tcf(c_86952,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86612,c_50,c_5404]) ).
tcf(c_86955,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xm))
| ( sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86782,c_79414]) ).
tcf(c_86958,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr))
| ( sdtpldt0(sdtasdt0(xn,xr),sK0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86777,c_64495]) ).
tcf(c_86961,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( sdtpldt0(sdtasdt0(xn,xp),sK0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86776,c_62887]) ).
tcf(c_86964,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86775,c_62530]) ).
tcf(c_86967,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xr))
| ( sdtpldt0(sdtpldt0(sz10,xr),sK0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86765,c_49199]) ).
tcf(c_86970,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xp))
| ( sdtpldt0(sdtpldt0(sz10,xp),sK0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86760,c_41228]) ).
tcf(c_86973,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xr))
| ( sdtpldt0(sdtpldt0(xp,xr),sK0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86759,c_41038]) ).
tcf(c_86976,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xm))
| ( sdtpldt0(sdtpldt0(sz10,xm),sK0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86746,c_30349]) ).
tcf(c_86979,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xr,xm))
| ( sdtpldt0(sdtpldt0(xr,xm),sK0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86745,c_30030]) ).
tcf(c_86982,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xp,xm))
| ( sdtpldt0(sdtpldt0(xp,xm),sK0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86744,c_28961]) ).
tcf(c_86985,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sz10,xn))
| ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86715,c_5707]) ).
tcf(c_86988,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xr))
| ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86713,c_5662]) ).
tcf(c_86991,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xp))
| ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86706,c_5447]) ).
tcf(c_86994,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,xm))
| ( sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86661,c_5404]) ).
tcf(c_87002,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xr))
| ( xn = sz00 )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86771,c_66,c_64495]) ).
tcf(c_87006,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xp))
| ( xn = sz00 )
| ( sdtpldt0(xp,sK0(xp,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86769,c_51,c_62887]) ).
tcf(c_87010,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xn,xm))
| ( xn = sz00 )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86767,c_50,c_62530]) ).
tcf(c_87014,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86710,c_134,c_5784]) ).
tcf(c_87017,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86642,c_134]) ).
tcf(c_87023,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86599,c_138]) ).
tcf(c_87035,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86719,c_5707,c_23711]) ).
tcf(c_87038,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xr)))
| ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86712,c_5662,c_21011]) ).
tcf(c_87041,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xp)))
| ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86703,c_5447,c_14098]) ).
tcf(c_87044,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86651,c_5404,c_5784]) ).
tcf(c_87084,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86596,c_138]) ).
tcf(c_87104,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(X1,sK0(X1,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86639,c_134]) ).
tcf(c_87174,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86641,c_134]) ).
tcf(c_87203,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| iLess0(X1,sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X1 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86640,c_134]) ).
tcf(c_87212,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X2,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtsldt0(xn,xr) = xn )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86595,c_138]) ).
tcf(c_87223,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(X0,X1))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtsldt0(xn,xr) = X0 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86724,c_134]) ).
tcf(c_87282,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86696,c_134]) ).
tcf(c_87292,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sK0(xn,sdtsldt0(xn,xr)))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sdtsldt0(xn,xr),sK0(sdtsldt0(xn,xr),sdtpldt0(xn,sdtsldt0(xn,xr)))) = sdtpldt0(xn,sdtsldt0(xn,xr)) )
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86695,c_134]) ).
tcf(c_87300,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sK0(xn,sdtsldt0(xn,xr)))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86729,c_134]) ).
tcf(c_87311,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86730,c_134]) ).
tcf(c_87322,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86722,c_49]) ).
tcf(c_87333,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86731,c_134]) ).
tcf(c_87345,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ( sK0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sdtsldt0(xn,xr)) = sdtsldt0(xn,xr) )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xn,sdtsldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xr)))
| ~ sdtlseqdt0(sK0(xn,sdtsldt0(xn,xr)),xn)
| ~ aNaturalNumber0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xr)),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86721,c_49]) ).
tcf(c_87630,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ( sdtpldt0(xn,sK0(xn,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_81639]) ).
tcf(c_87631,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,xm)) = xm )
| ( sdtpldt0(xm,sK0(xm,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_81639]) ).
tcf(c_87632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,xp)) = xp )
| ( sdtpldt0(xp,sK0(xp,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_51,c_81639]) ).
tcf(c_87633,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,xr)) = xr )
| ( sdtpldt0(xr,sK0(xr,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_66,c_81639]) ).
tcf(c_87634,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtpldt0(X2,sK0(X2,sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ( sdtpldt0(sdtpldt0(X0,X1),sK0(sdtpldt0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_81639]) ).
tcf(c_87635,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtpldt0(X2,sK0(X2,sK0(X0,X1))) = sK0(X0,X1) )
| ( sdtpldt0(sK0(X0,X1),sK0(sK0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_81639]) ).
tcf(c_87636,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtpldt0(X2,sK0(X2,sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ( sdtpldt0(sdtasdt0(X0,X1),sK0(sdtasdt0(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_81639]) ).
tcf(c_87637,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( sdtpldt0(X2,sK0(X2,sK1(X0,X1))) = sK1(X0,X1) )
| ( sdtpldt0(sK1(X0,X1),sK0(sK1(X0,X1),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_81639]) ).
tcf(c_87638,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(X1,sK0(X1,sK2(X0))) = sK2(X0) )
| ( sdtpldt0(sK2(X0),sK0(sK2(X0),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_81639]) ).
tcf(c_87639,plain,
! [X0: $i,X1: $i] :
( isPrime0(X0)
| sdtlseqdt0(sdtsldt0(xn,xr),X1)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtpldt0(X1,sK0(X1,sK3(X0))) = sK3(X0) )
| ( sdtpldt0(sK3(X0),sK0(sK3(X0),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_81639]) ).
tcf(c_87640,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sz00)) = sz00 )
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_134,c_81639]) ).
tcf(c_87641,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sz10)) = sz10 )
| ( sdtpldt0(sz10,sK0(sz10,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_138,c_81639]) ).
tcf(c_87642,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X2)
| ( X0 = sz00 )
| ( sdtpldt0(X2,sK0(X2,sdtsldt0(X1,X0))) = sdtsldt0(X1,X0) )
| ( sdtpldt0(sdtsldt0(X1,X0),sK0(sdtsldt0(X1,X0),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_81639]) ).
tcf(c_87643,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,xm))) = sdtpldt0(xn,xm) )
| ( sdtpldt0(sdtpldt0(xn,xm),sK0(sdtpldt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5404,c_81639]) ).
tcf(c_87644,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,xp))) = sdtpldt0(xn,xp) )
| ( sdtpldt0(sdtpldt0(xn,xp),sK0(sdtpldt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5447,c_81639]) ).
tcf(c_87645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,xr))) = sdtpldt0(xn,xr) )
| ( sdtpldt0(sdtpldt0(xn,xr),sK0(sdtpldt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5662,c_81639]) ).
tcf(c_87646,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(sz10,xn))) = sdtpldt0(sz10,xn) )
| ( sdtpldt0(sdtpldt0(sz10,xn),sK0(sdtpldt0(sz10,xn),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5707,c_81639]) ).
tcf(c_87647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtpldt0(xn,xm)))) = sdtpldt0(xn,sdtpldt0(xn,xm)) )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sK0(sdtpldt0(xn,sdtpldt0(xn,xm)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5784,c_81639]) ).
tcf(c_87648,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(xn,xm))) = sdtasdt0(xn,xm) )
| ( sdtpldt0(sdtasdt0(xn,xm),sK0(sdtasdt0(xn,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62530,c_81639]) ).
tcf(c_87649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtpldt0(xn,xp)))) = sdtpldt0(xn,sdtpldt0(xn,xp)) )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xp)),sK0(sdtpldt0(xn,sdtpldt0(xn,xp)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14098,c_81639]) ).
tcf(c_87650,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtpldt0(xn,xr)))) = sdtpldt0(xn,sdtpldt0(xn,xr)) )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,xr)),sK0(sdtpldt0(xn,sdtpldt0(xn,xr)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_21011,c_81639]) ).
tcf(c_87651,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtpldt0(sz10,xn)))) = sdtpldt0(xn,sdtpldt0(sz10,xn)) )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sK0(sdtpldt0(xn,sdtpldt0(sz10,xn)),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23711,c_81639]) ).
tcf(c_87652,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xp,xm))) = sdtpldt0(xp,xm) )
| ( sdtpldt0(sdtpldt0(xp,xm),sK0(sdtpldt0(xp,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28961,c_81639]) ).
tcf(c_87653,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))))) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) )
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sK0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29666,c_81639]) ).
tcf(c_87654,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xr,xm))) = sdtpldt0(xr,xm) )
| ( sdtpldt0(sdtpldt0(xr,xm),sK0(sdtpldt0(xr,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30030,c_81639]) ).
tcf(c_87655,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(sz10,xm))) = sdtpldt0(sz10,xm) )
| ( sdtpldt0(sdtpldt0(sz10,xm),sK0(sdtpldt0(sz10,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30349,c_81639]) ).
tcf(c_87656,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(xp,xr))) = sdtpldt0(xp,xr) )
| ( sdtpldt0(sdtpldt0(xp,xr),sK0(sdtpldt0(xp,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41038,c_81639]) ).
tcf(c_87657,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ( sdtpldt0(sdtpldt0(sz10,xp),sK0(sdtpldt0(sz10,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41228,c_81639]) ).
tcf(c_87658,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ( sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79414,c_81639]) ).
tcf(c_87659,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(xn,xp))) = sdtasdt0(xn,xp) )
| ( sdtpldt0(sdtasdt0(xn,xp),sK0(sdtasdt0(xn,xp),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_62887,c_81639]) ).
tcf(c_87660,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtpldt0(sz10,xr))) = sdtpldt0(sz10,xr) )
| ( sdtpldt0(sdtpldt0(sz10,xr),sK0(sdtpldt0(sz10,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49199,c_81639]) ).
tcf(c_87661,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(xn,xr))) = sdtasdt0(xn,xr) )
| ( sdtpldt0(sdtasdt0(xn,xr),sK0(sdtasdt0(xn,xr),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_64495,c_81639]) ).
tcf(c_87662,plain,
! [X0: $i] :
( sdtlseqdt0(sdtsldt0(xn,xr),X0)
| ( sdtpldt0(X0,sK0(X0,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) )
| ( sdtpldt0(sdtasdt0(xr,xm),sK0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_79729,c_81639]) ).
tcf(c_87924,plain,
sdtasdt0(xr,sdtsldt0(sz00,xr)) = sz00,
inference(global_subsumption_just,[status(thm)],[c_9837,c_1657,c_9837]) ).
tcf(c_87926,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xr)),sz00)
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_87924,c_104]) ).
tcf(c_87927,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sz00)
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_87924,c_65238]) ).
tcf(c_87929,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(sz00,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_87924,c_23072]) ).
tcf(c_87930,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xr)),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_87924,c_16382]) ).
tcf(c_87931,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_87924,c_16055]) ).
tcf(c_87934,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(sz00,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_87924,c_9145]) ).
tcf(c_87935,plain,
( ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_87924,c_105]) ).
tcf(c_87938,plain,
( sdtlseqdt0(xr,sz00)
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_87924,c_100]) ).
tcf(c_87939,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_87924,c_102]) ).
tcf(c_87940,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ( sdtasdt0(X0,sdtsldt0(sz00,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_87924,c_107]) ).
tcf(c_87941,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xr)))
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(superposition,[status(thm)],[c_87924,c_104]) ).
tcf(c_87942,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_87924,c_106]) ).
tcf(c_87943,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ sdtlseqdt0(sdtsldt0(sz00,xr),X0) ),
inference(superposition,[status(thm)],[c_87924,c_102]) ).
tcf(c_87944,plain,
( ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87938,c_19454,c_66]) ).
tcf(c_87949,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ( sdtasdt0(xr,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87942,c_27859,c_66]) ).
tcf(c_87954,plain,
! [X0: $i] :
( ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ( sdtasdt0(X0,sdtsldt0(sz00,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87940,c_66]) ).
tcf(c_87960,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,X0))
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ sdtlseqdt0(sdtsldt0(sz00,xr),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87943,c_27859,c_66]) ).
tcf(c_87966,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xr)))
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87941,c_66]) ).
tcf(c_87973,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sz00)
| ( sdtsldt0(sz00,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87939,c_27859,c_66]) ).
tcf(c_87979,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xr)),sz00)
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87926,c_66]) ).
tcf(c_87993,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( sdtsldt0(sz00,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87934,c_66,c_4997]) ).
tcf(c_87999,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(sz00,xr) = X0 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87931,c_27859,c_66,c_4997]) ).
tcf(c_88007,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xr)),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(sz00,xr) = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(sz00,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87930,c_66,c_4997]) ).
tcf(c_88083,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xr,xm))
| ( sz00 = sz10 )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79944,c_104]) ).
tcf(c_88084,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79944,c_65238]) ).
tcf(c_88085,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79944,c_28161]) ).
tcf(c_88086,plain,
( sdtlseqdt0(xn,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79944,c_23072]) ).
tcf(c_88087,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79944,c_16382]) ).
tcf(c_88088,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xr,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_79944,c_16055]) ).
tcf(c_88091,plain,
( sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sz00 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_79944,c_9145]) ).
tcf(c_88093,plain,
( doDivides0(sdtasdt0(xr,xm),sdtasdt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79944,c_185]) ).
tcf(c_88095,plain,
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(xr,xm))
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79944,c_100]) ).
tcf(c_88096,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xr,xm),X0),sdtasdt0(xr,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79944,c_102]) ).
tcf(c_88097,plain,
! [X0: $i] :
( ( sz00 = sz10 )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ( sdtasdt0(X0,sz10) != sdtasdt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_79944,c_107]) ).
tcf(c_88098,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(X0,sz10))
| ( sz00 = sz10 )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_79944,c_104]) ).
tcf(c_88099,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ( sdtasdt0(sdtasdt0(xr,xm),X0) != sdtasdt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_79944,c_106]) ).
tcf(c_88100,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(sdtasdt0(xr,xm),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79944,c_102]) ).
tcf(c_88101,plain,
doDivides0(sdtasdt0(xr,xm),sdtasdt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_88093,c_138,c_79729]) ).
tcf(c_88102,plain,
sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_88095,c_139,c_138,c_79729]) ).
tcf(c_88103,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88084,c_139,c_138,c_79729]) ).
tcf(c_88106,plain,
! [X0: $i] :
( ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sz10) != sdtasdt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88097,c_139,c_138,c_79729]) ).
tcf(c_88110,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xr,xm),X0) != sdtasdt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88099,c_138,c_79729]) ).
tcf(c_88115,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(sdtasdt0(xr,xm),X0))
| ( X0 = sz10 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88100,c_138,c_79729]) ).
tcf(c_88121,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtasdt0(X0,sz10))
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88098,c_139,c_138,c_79729]) ).
tcf(c_88126,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xr,xm),X0),sdtasdt0(xr,xm))
| ( X0 = sz10 )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88096,c_138,c_79729]) ).
tcf(c_88132,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88083,c_139,c_138,c_79729]) ).
tcf(c_88137,plain,
( sdtlseqdt0(xn,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88086,c_139,c_138,c_79729]) ).
tcf(c_88142,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88085,c_139,c_138,c_79729]) ).
tcf(c_88147,plain,
( sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88091,c_139,c_138,c_79729]) ).
tcf(c_88152,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xr,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz10 )
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88088,c_138,c_79729]) ).
tcf(c_88161,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sz10),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88087,c_139,c_138,c_79729]) ).
tcf(c_88201,plain,
! [X0: $i] :
( ( sdtasdt0(xr,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,xm),sdtasdt0(xr,xm))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sdtasdt0(xr,xm)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88101,c_130]) ).
tcf(c_88202,plain,
( ( sdtasdt0(xr,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xr,xm),sdtsldt0(sdtasdt0(xr,xm),sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88101,c_133]) ).
tcf(c_88204,plain,
( ( sdtasdt0(sdtasdt0(xr,xm),sK1(sdtasdt0(xr,xm),sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88101,c_99]) ).
tcf(c_88207,plain,
sdtasdt0(sdtasdt0(xr,xm),sK1(sdtasdt0(xr,xm),sdtasdt0(xr,xm))) = sdtasdt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_88204,c_79729]) ).
tcf(c_88208,plain,
( ( sdtasdt0(xr,xm) = sz00 )
| ( sdtasdt0(sdtasdt0(xr,xm),sdtsldt0(sdtasdt0(xr,xm),sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88202,c_79729]) ).
tcf(c_88211,plain,
! [X0: $i] :
( ( sdtasdt0(xr,xm) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xr,xm),sdtasdt0(xr,xm))) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xr,xm)),sdtasdt0(xr,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88201,c_79729]) ).
tcf(c_88217,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtpldt0(sdtasdt0(xr,xm),sK0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88102,c_86553]) ).
tcf(c_88220,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xr,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88102,c_41968]) ).
tcf(c_88221,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xr,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88102,c_38665]) ).
tcf(c_88222,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88102,c_35501]) ).
tcf(c_88223,plain,
( sdtlseqdt0(sz10,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88102,c_25716]) ).
tcf(c_88224,plain,
( sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_88102,c_7926]) ).
tcf(c_88226,plain,
( ( sdtpldt0(sdtasdt0(xr,xm),sK0(sdtasdt0(xr,xm),sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88102,c_84]) ).
tcf(c_88228,plain,
sdtpldt0(sdtasdt0(xr,xm),sK0(sdtasdt0(xr,xm),sdtasdt0(xr,xm))) = sdtasdt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_88226,c_79729]) ).
tcf(c_88229,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88222,c_79729]) ).
tcf(c_88233,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtpldt0(sdtasdt0(xr,xm),X0))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88221,c_79729]) ).
tcf(c_88238,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtpldt0(sdtasdt0(xr,xm),sK0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88217,c_79729]) ).
tcf(c_88242,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| sdtlseqdt0(X0,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xr,xm),X0)
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88220,c_79729]) ).
tcf(c_88248,plain,
( sdtlseqdt0(sz10,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88223,c_79729]) ).
tcf(c_88255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xr,xm)),sdtasdt0(xr,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79947,c_81]) ).
tcf(c_88262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xr,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_79947,c_13445]) ).
tcf(c_88263,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79947,c_13129]) ).
tcf(c_88269,plain,
( sdtlseqdt0(sz00,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79947,c_188]) ).
tcf(c_88271,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_79947,c_79]) ).
tcf(c_88272,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79947,c_79]) ).
tcf(c_88273,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ( sdtpldt0(X0,sdtasdt0(xr,xm)) != sdtasdt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_79947,c_88]) ).
tcf(c_88275,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtpldt0(X0,sdtasdt0(xr,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79947,c_81]) ).
tcf(c_88276,plain,
! [X0: $i] :
( ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_79947,c_87]) ).
tcf(c_88277,plain,
sdtlseqdt0(sz00,sdtasdt0(xr,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_88269,c_134,c_79729]) ).
tcf(c_88278,plain,
! [X0: $i] :
( ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sdtasdt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88276,c_134,c_79729]) ).
tcf(c_88282,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sdtasdt0(xr,xm)) != sdtasdt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88273,c_134,c_79729]) ).
tcf(c_88286,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtpldt0(X0,sdtasdt0(xr,xm)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88275,c_134,c_79729]) ).
tcf(c_88291,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xr,xm)),sdtasdt0(xr,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88255,c_134,c_79729]) ).
tcf(c_88296,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88272,c_134,c_79729]) ).
tcf(c_88301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtpldt0(sz00,X0))
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88271,c_134,c_79729]) ).
tcf(c_88306,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sdtasdt0(xr,xm)),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88262,c_134,c_79729]) ).
tcf(c_88314,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88263,c_134,c_79729]) ).
tcf(c_88408,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88277,c_127]) ).
tcf(c_88409,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88277,c_86553]) ).
tcf(c_88417,plain,
( ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),sz00) ),
inference(superposition,[status(thm)],[c_88277,c_128]) ).
tcf(c_88418,plain,
( ( sdtpldt0(sz00,sK0(sz00,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88277,c_84]) ).
tcf(c_88419,plain,
( iLess0(sz00,sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88277,c_96]) ).
tcf(c_88420,plain,
( iLess0(sz00,sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88419,c_134,c_79729]) ).
tcf(c_88423,plain,
sdtpldt0(sz00,sK0(sz00,sdtasdt0(xr,xm))) = sdtasdt0(xr,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_88418,c_134,c_79729]) ).
tcf(c_88424,plain,
( ( sdtasdt0(xr,xm) = sz00 )
| ~ sdtlseqdt0(sdtasdt0(xr,xm),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88417,c_134,c_79729]) ).
tcf(c_88427,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88408,c_134,c_79729]) ).
tcf(c_88431,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xr,xm))
| ( sdtpldt0(sz00,sK0(sz00,sdtsldt0(xn,xr))) = sdtsldt0(xn,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88409,c_134,c_79729]) ).
tcf(c_88497,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79948,c_81]) ).
tcf(c_88503,plain,
( sdtlseqdt0(xn,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79948,c_21679]) ).
tcf(c_88504,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79948,c_13445]) ).
tcf(c_88505,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xr,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_79948,c_13129]) ).
tcf(c_88508,plain,
( sdtlseqdt0(sdtasdt0(xr,xm),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(superposition,[status(thm)],[c_79948,c_8360]) ).
tcf(c_88513,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtpldt0(sdtasdt0(xr,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79948,c_79]) ).
tcf(c_88514,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xr,xm),X0),sdtasdt0(xr,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79948,c_79]) ).
tcf(c_88515,plain,
! [X0: $i] :
( ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_79948,c_88]) ).
tcf(c_88517,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),X0) ),
inference(superposition,[status(thm)],[c_79948,c_81]) ).
tcf(c_88518,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xr,xm))
| ( sdtpldt0(sdtasdt0(xr,xm),X0) != sdtasdt0(xr,xm) ) ),
inference(superposition,[status(thm)],[c_79948,c_87]) ).
tcf(c_88519,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xr,xm),X0) != sdtasdt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88518,c_134,c_79729]) ).
tcf(c_88523,plain,
! [X0: $i] :
( ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtasdt0(xr,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88515,c_134,c_79729]) ).
tcf(c_88527,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xr,xm),X0),sdtasdt0(xr,xm))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88514,c_134,c_79729]) ).
tcf(c_88532,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtpldt0(sdtasdt0(xr,xm),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88513,c_134,c_79729]) ).
tcf(c_88537,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,xm),sdtpldt0(X0,sz00))
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xr,xm),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88517,c_134,c_79729]) ).
tcf(c_88542,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtasdt0(xr,xm))
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88497,c_134,c_79729]) ).
tcf(c_88549,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xr,xm),X0),sdtsldt0(xn,xr))
| ( X0 = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88505,c_134,c_79729]) ).
tcf(c_88557,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(X0,sz00),sdtsldt0(xn,xr))
| ( sdtsldt0(xn,xr) = xn )
| ( sdtasdt0(xr,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xr,xm),xn)
| ~ sdtlseqdt0(X0,sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88504,c_134,c_79729]) ).
tcf(c_88572,plain,
sdtasdt0(xp,xr) = sdtasdt0(xr,xp),
inference(superposition,[status(thm)],[c_66,c_5216]) ).
tcf(c_88573,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xp) = sdtasdt0(xp,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_95,c_5216]) ).
tcf(c_88574,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK0(X0,X1),xp) = sdtasdt0(xp,sK0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_5216]) ).
tcf(c_88575,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xp) = sdtasdt0(xp,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_112,c_5216]) ).
tcf(c_88576,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X0,X1),xp) = sdtasdt0(xp,sK1(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_5216]) ).
tcf(c_88577,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK2(X0),xp) = sdtasdt0(xp,sK2(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_115,c_5216]) ).
tcf(c_88578,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ( sdtasdt0(sK3(X0),xp) = sdtasdt0(xp,sK3(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_120,c_5216]) ).
tcf(c_88579,plain,
sdtasdt0(xp,sz00) = sdtasdt0(sz00,xp),
inference(superposition,[status(thm)],[c_134,c_5216]) ).
tcf(c_88580,plain,
sdtasdt0(xp,sz10) = sdtasdt0(sz10,xp),
inference(superposition,[status(thm)],[c_138,c_5216]) ).
tcf(c_88581,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),xp) = sdtasdt0(xp,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_132,c_5216]) ).
tcf(c_88582,plain,
sdtasdt0(sdtpldt0(xn,xm),xp) = sdtasdt0(xp,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_5404,c_5216]) ).
tcf(c_88583,plain,
sdtasdt0(sdtpldt0(xn,xp),xp) = sdtasdt0(xp,sdtpldt0(xn,xp)),
inference(superposition,[status(thm)],[c_5447,c_5216]) ).
tcf(c_88584,plain,
sdtasdt0(sdtpldt0(xn,xr),xp) = sdtasdt0(xp,sdtpldt0(xn,xr)),
inference(superposition,[status(thm)],[c_5662,c_5216]) ).
tcf(c_88585,plain,
sdtasdt0(sdtpldt0(sz10,xn),xp) = sdtasdt0(xp,sdtpldt0(sz10,xn)),
inference(superposition,[status(thm)],[c_5707,c_5216]) ).
tcf(c_88586,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xn,xm))),
inference(superposition,[status(thm)],[c_5784,c_5216]) ).
tcf(c_88587,plain,
sdtasdt0(sdtasdt0(xn,xm),xp) = sdtasdt0(xp,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_62530,c_5216]) ).
tcf(c_88588,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xp)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xn,xp))),
inference(superposition,[status(thm)],[c_14098,c_5216]) ).
tcf(c_88589,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xr)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xn,xr))),
inference(superposition,[status(thm)],[c_21011,c_5216]) ).
tcf(c_88590,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz10,xn)),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(sz10,xn))),
inference(superposition,[status(thm)],[c_23711,c_5216]) ).
tcf(c_88591,plain,
sdtasdt0(sdtpldt0(xp,xm),xp) = sdtasdt0(xp,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_28961,c_5216]) ).
tcf(c_88592,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))),xp) = sdtasdt0(xp,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))),
inference(superposition,[status(thm)],[c_29666,c_5216]) ).
tcf(c_88593,plain,
sdtasdt0(sdtpldt0(xr,xm),xp) = sdtasdt0(xp,sdtpldt0(xr,xm)),
inference(superposition,[status(thm)],[c_30030,c_5216]) ).
tcf(c_88594,plain,
sdtasdt0(sdtpldt0(sz10,xm),xp) = sdtasdt0(xp,sdtpldt0(sz10,xm)),
inference(superposition,[status(thm)],[c_30349,c_5216]) ).
tcf(c_88595,plain,
sdtasdt0(sdtpldt0(xp,xr),xp) = sdtasdt0(xp,sdtpldt0(xp,xr)),
inference(superposition,[status(thm)],[c_41038,c_5216]) ).
tcf(c_88596,plain,
sdtasdt0(sdtpldt0(sz10,xp),xp) = sdtasdt0(xp,sdtpldt0(sz10,xp)),
inference(superposition,[status(thm)],[c_41228,c_5216]) ).
tcf(c_88597,plain,
sdtasdt0(sdtasdt0(xp,xm),xp) = sdtasdt0(xp,sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_79414,c_5216]) ).
tcf(c_88598,plain,
sdtasdt0(sdtasdt0(xn,xp),xp) = sdtasdt0(xp,sdtasdt0(xn,xp)),
inference(superposition,[status(thm)],[c_62887,c_5216]) ).
tcf(c_88599,plain,
sdtasdt0(sdtpldt0(sz10,xr),xp) = sdtasdt0(xp,sdtpldt0(sz10,xr)),
inference(superposition,[status(thm)],[c_49199,c_5216]) ).
tcf(c_88600,plain,
sdtasdt0(sdtasdt0(xn,xr),xp) = sdtasdt0(xp,sdtasdt0(xn,xr)),
inference(superposition,[status(thm)],[c_64495,c_5216]) ).
tcf(c_88601,plain,
sdtasdt0(sdtasdt0(xr,xm),xp) = sdtasdt0(xp,sdtasdt0(xr,xm)),
inference(superposition,[status(thm)],[c_79729,c_5216]) ).
tcf(c_88632,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xr))
| ( xp = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_88572,c_104]) ).
tcf(c_88633,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xr))
| ( xp = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_88572,c_65238]) ).
tcf(c_88634,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xp,xr))
| ( xp = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_88572,c_28161]) ).
tcf(c_88635,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xp,xr))
| ( xp = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_88572,c_23072]) ).
tcf(c_88636,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_88572,c_16382]) ).
tcf(c_88637,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( sz00 = xr )
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_88572,c_16055]) ).
tcf(c_88640,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| ( xp = sz00 )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),xn) ),
inference(superposition,[status(thm)],[c_88572,c_9145]) ).
tcf(c_88641,plain,
( ( sz00 = xr )
| ( xp = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ( sdtasdt0(xp,xr) != sz00 ) ),
inference(superposition,[status(thm)],[c_88572,c_105]) ).
tcf(c_88642,plain,
( doDivides0(xr,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_88572,c_185]) ).
tcf(c_88643,plain,
( aNaturalNumber0(sdtasdt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_88572,c_112]) ).
tcf(c_88644,plain,
( sdtlseqdt0(xr,sdtasdt0(xp,xr))
| ( xp = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_88572,c_100]) ).
tcf(c_88645,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xp,xr))
| ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(superposition,[status(thm)],[c_88572,c_102]) ).
tcf(c_88646,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_88572,c_107]) ).
tcf(c_88647,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(X0,xp))
| ( xp = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_88572,c_104]) ).
tcf(c_88648,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xp,xr) ) ),
inference(superposition,[status(thm)],[c_88572,c_106]) ).
tcf(c_88649,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(xr,X0))
| ( sz00 = xr )
| ( X0 = xp )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_88572,c_102]) ).
tcf(c_88650,plain,
aNaturalNumber0(sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_88643,c_66,c_51]) ).
tcf(c_88651,plain,
doDivides0(xr,sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_88642,c_66,c_51]) ).
tcf(c_88652,plain,
sdtlseqdt0(xr,sdtasdt0(xp,xr)),
inference(forward_subsumption_resolution,[status(thm)],[c_88644,c_27861,c_66,c_51]) ).
tcf(c_88653,plain,
sdtasdt0(xp,xr) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_88641,c_27859,c_27861,c_66,c_51]) ).
tcf(c_88654,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sdtsldt0(xn,xr),sdtasdt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88633,c_27861,c_66,c_51]) ).
tcf(c_88657,plain,
! [X0: $i] :
( ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88648,c_27859,c_66,c_51]) ).
tcf(c_88661,plain,
! [X0: $i] :
( ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xp) != sdtasdt0(xp,xr) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88646,c_27861,c_66,c_51]) ).
tcf(c_88665,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(xr,X0))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88649,c_27859,c_66,c_51]) ).
tcf(c_88670,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xr),sdtasdt0(X0,xp))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88647,c_27861,c_66,c_51]) ).
tcf(c_88675,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtasdt0(xp,xr))
| ( X0 = xp )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88645,c_27859,c_66,c_51]) ).
tcf(c_88680,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtasdt0(xp,xr))
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88632,c_27861,c_66,c_51]) ).
tcf(c_88685,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(xn,sdtasdt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88635,c_27861,c_66,c_51]) ).
tcf(c_88690,plain,
( sdtlseqdt0(xr,sdtsldt0(xn,xr))
| sdtlseqdt0(sz00,sdtasdt0(xp,xr))
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88634,c_27861,c_66,c_51]) ).
tcf(c_88696,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xr,X0),sdtsldt0(xn,xr))
| ( X0 = xp )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88637,c_27859,c_66,c_51]) ).
tcf(c_88704,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xp),sdtsldt0(xn,xr))
| ( X0 = xr )
| ( sdtsldt0(xn,xr) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88636,c_27861,c_66,c_51]) ).
tcf(c_88718,plain,
sdtasdt0(sdtsldt0(xn,xr),xr) = xn,
inference(light_normalisation,[status(thm)],[c_73267,c_78415]) ).
tcf(c_88725,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sz00 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_88718,c_100]) ).
tcf(c_88732,plain,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
| ( sz00 = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88725,c_66,c_51396]) ).
tcf(c_88773,plain,
sdtsldt0(xn,xr) = xn,
inference(global_subsumption_just,[status(thm)],[c_88147,c_75,c_1657,c_88732]) ).
tcf(c_88775,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_81639,c_88773]) ).
tcf(c_88776,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(demodulation,[status(thm)],[c_86553,c_88773]) ).
tcf(c_88780,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_81640,c_88773]) ).
tcf(c_88781,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_82973,c_88773]) ).
tcf(c_88782,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| ( X0 = X1 )
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(demodulation,[status(thm)],[c_82972,c_88773]) ).
tcf(c_88783,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| iLess0(X0,X1)
| ( X0 = X1 )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_82974,c_88773]) ).
tcf(c_88784,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_82926,c_88773]) ).
tcf(c_88785,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_80591,c_88773]) ).
tcf(c_88787,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(demodulation,[status(thm)],[c_80549,c_88773]) ).
tcf(c_88792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X3,xn)
| sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_59490,c_88773]) ).
tcf(c_88793,plain,
! [X0: $i] :
( iLess0(X0,xn)
| ( X0 = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_74359,c_88773]) ).
tcf(c_88794,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ( X0 = xn )
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_74292,c_88773]) ).
tcf(c_88804,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(xn,sdtasdt0(X0,X1))
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_65238,c_88773]) ).
tcf(c_88808,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_46367,c_88773]) ).
tcf(c_88810,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X2,xn)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_48068,c_88773]) ).
tcf(c_88815,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,xr) ),
inference(demodulation,[status(thm)],[c_44350,c_88773]) ).
tcf(c_88818,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xn)
| sdtlseqdt0(xn,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_56853,c_88773]) ).
tcf(c_88821,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,xm) ),
inference(demodulation,[status(thm)],[c_44341,c_88773]) ).
tcf(c_88828,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_44185,c_88773]) ).
tcf(c_88830,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,xr) ),
inference(demodulation,[status(thm)],[c_44335,c_88773]) ).
tcf(c_88831,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sz10) ),
inference(demodulation,[status(thm)],[c_44332,c_88773]) ).
tcf(c_88834,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_46345,c_88773]) ).
tcf(c_88836,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(demodulation,[status(thm)],[c_45159,c_88773]) ).
tcf(c_88837,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_45037,c_88773]) ).
tcf(c_88838,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(demodulation,[status(thm)],[c_44165,c_88773]) ).
tcf(c_88839,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(xn,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_44154,c_88773]) ).
tcf(c_88840,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_44126,c_88773]) ).
tcf(c_88841,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_43873,c_88773]) ).
tcf(c_88862,plain,
sK0(xn,xn) = sz00,
inference(demodulation,[status(thm)],[c_34398,c_88773]) ).
tcf(c_89073,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_88841,c_127]) ).
tcf(c_89075,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88841,c_84]) ).
tcf(c_89076,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xn)
| iLess0(xn,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88841,c_96]) ).
tcf(c_89088,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_88841,c_127]) ).
tcf(c_89090,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88841,c_84]) ).
tcf(c_89091,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X0,xn)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88841,c_96]) ).
tcf(c_89125,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xn,sK0(xn,X1)) = X1 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_88834,c_127]) ).
tcf(c_89126,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_88834,c_128]) ).
tcf(c_89127,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88834,c_84]) ).
tcf(c_89128,plain,
! [X0: $i] :
( iLess0(X0,xn)
| ( X0 = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88834,c_96]) ).
tcf(c_89131,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89127,c_49]) ).
tcf(c_89135,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89126,c_49]) ).
tcf(c_89140,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,xn)
| ( sdtpldt0(xn,sK0(xn,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89125,c_49]) ).
tcf(c_89153,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_88837,c_127]) ).
tcf(c_89154,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_88837,c_128]) ).
tcf(c_89156,plain,
! [X0: $i] :
( iLess0(xn,X0)
| ( X0 = xn )
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88837,c_96]) ).
tcf(c_89161,plain,
( sdtlseqdt0(xn,xr)
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_88837,c_7284]) ).
tcf(c_89167,plain,
( sdtlseqdt0(xn,xr)
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89161,c_138,c_49]) ).
tcf(c_89171,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89154,c_49]) ).
tcf(c_89189,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_126,c_88836]) ).
tcf(c_89191,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_88836]) ).
tcf(c_89192,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_135,c_88836]) ).
tcf(c_89193,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5002,c_88836]) ).
tcf(c_89195,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5493,c_88836]) ).
tcf(c_89197,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88841,c_88836]) ).
tcf(c_89198,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26179,c_88836]) ).
tcf(c_89199,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31263,c_88836]) ).
tcf(c_89201,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_88836]) ).
tcf(c_89202,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_88836]) ).
tcf(c_89204,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_88836]) ).
tcf(c_89205,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5982,c_88836]) ).
tcf(c_89206,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| ( sdtpldt0(xn,sK0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88837,c_88836]) ).
tcf(c_89221,plain,
! [X0: $i] :
( sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89205,c_66]) ).
tcf(c_89226,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89195,c_138]) ).
tcf(c_89234,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89191,c_138,c_49]) ).
tcf(c_89241,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89199,c_134,c_49]) ).
tcf(c_89247,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ( xn = sz10 )
| ( xn = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89192,c_138,c_49]) ).
tcf(c_89253,plain,
sdtasdt0(xp,sdtsldt0(sz00,xp)) = sz00,
inference(global_subsumption_just,[status(thm)],[c_9840,c_134,c_51,c_1631,c_4971,c_6671]) ).
tcf(c_89255,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xp)),sz00)
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_89253,c_104]) ).
tcf(c_89258,plain,
( ( xp = sz00 )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_89253,c_105]) ).
tcf(c_89261,plain,
( sdtlseqdt0(xp,sz00)
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_89253,c_100]) ).
tcf(c_89262,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( xp = sz00 )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_89253,c_102]) ).
tcf(c_89263,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(X0,sdtsldt0(sz00,xp)) != sz00 ) ),
inference(superposition,[status(thm)],[c_89253,c_107]) ).
tcf(c_89264,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xp)))
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(superposition,[status(thm)],[c_89253,c_104]) ).
tcf(c_89265,plain,
! [X0: $i] :
( ( xp = sz00 )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_89253,c_106]) ).
tcf(c_89266,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( xp = sz00 )
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtsldt0(sz00,xp),X0) ),
inference(superposition,[status(thm)],[c_89253,c_102]) ).
tcf(c_89267,plain,
( ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89261,c_19458,c_51]) ).
tcf(c_89271,plain,
! [X0: $i] :
( ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(xp,X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89265,c_27861,c_51]) ).
tcf(c_89276,plain,
! [X0: $i] :
( ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ( sdtasdt0(X0,sdtsldt0(sz00,xp)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89263,c_51]) ).
tcf(c_89282,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(xp,X0))
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(sdtsldt0(sz00,xp),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89266,c_27861,c_51]) ).
tcf(c_89288,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtsldt0(sz00,xp)))
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89264,c_51]) ).
tcf(c_89295,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,X0),sz00)
| ( sdtsldt0(sz00,xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp))
| ~ sdtlseqdt0(X0,sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89262,c_27861,c_51]) ).
tcf(c_89301,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtsldt0(sz00,xp)),sz00)
| ( X0 = xp )
| ( sdtsldt0(sz00,xp) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtsldt0(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89255,c_51]) ).
tcf(c_89310,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X1,sdtasdt0(xp,xr)),sdtasdt0(X0,sdtasdt0(xp,xr))) = sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88650,c_90]) ).
tcf(c_89311,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xr),X1),sdtasdt0(sdtasdt0(xp,xr),X0)) = sdtasdt0(sdtasdt0(xp,xr),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88650,c_89]) ).
tcf(c_89312,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,xr),X1),X0) = sdtasdt0(sdtasdt0(xp,xr),sdtasdt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88650,c_110]) ).
tcf(c_89313,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,xr),X1),X0) = sdtpldt0(sdtasdt0(xp,xr),sdtpldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88650,c_93]) ).
tcf(c_89314,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xr)),X0) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88650,c_195]) ).
tcf(c_89315,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xr),X0) = sdtasdt0(X0,sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88650,c_111]) ).
tcf(c_89316,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xr),X0) = sdtpldt0(X0,sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88650,c_94]) ).
tcf(c_89317,plain,
sdtasdt0(sdtasdt0(xp,xr),xp) = sdtasdt0(xp,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_88650,c_5216]) ).
tcf(c_89318,plain,
sdtasdt0(sdtasdt0(xp,xr),xm) = sdtasdt0(xm,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_88650,c_5215]) ).
tcf(c_89319,plain,
sdtasdt0(sdtasdt0(xp,xr),xn) = sdtasdt0(xn,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_88650,c_5214]) ).
tcf(c_89320,plain,
sdtpldt0(sdtasdt0(xp,xr),sz10) = sdtpldt0(sz10,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_88650,c_5087]) ).
tcf(c_89321,plain,
sdtpldt0(sdtasdt0(xp,xr),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_88650,c_5086]) ).
tcf(c_89322,plain,
sdtpldt0(sdtasdt0(xp,xr),xr) = sdtpldt0(xr,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_88650,c_5082]) ).
tcf(c_89323,plain,
sdtpldt0(sdtasdt0(xp,xr),xp) = sdtpldt0(xp,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_88650,c_5081]) ).
tcf(c_89324,plain,
sdtpldt0(sdtasdt0(xp,xr),xm) = sdtpldt0(xm,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_88650,c_5080]) ).
tcf(c_89325,plain,
sdtpldt0(sdtasdt0(xp,xr),xn) = sdtpldt0(xn,sdtasdt0(xp,xr)),
inference(superposition,[status(thm)],[c_88650,c_5079]) ).
tcf(c_89326,plain,
sdtasdt0(sz10,sdtasdt0(xp,xr)) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_88650,c_137]) ).
tcf(c_89327,plain,
sdtasdt0(sdtasdt0(xp,xr),sz10) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_88650,c_136]) ).
tcf(c_89328,plain,
sdtasdt0(sz00,sdtasdt0(xp,xr)) = sz00,
inference(superposition,[status(thm)],[c_88650,c_109]) ).
tcf(c_89329,plain,
sdtasdt0(sdtasdt0(xp,xr),sz00) = sz00,
inference(superposition,[status(thm)],[c_88650,c_108]) ).
tcf(c_89330,plain,
sdtpldt0(sz00,sdtasdt0(xp,xr)) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_88650,c_92]) ).
tcf(c_89331,plain,
sdtpldt0(sdtasdt0(xp,xr),sz00) = sdtasdt0(xp,xr),
inference(superposition,[status(thm)],[c_88650,c_91]) ).
tcf(c_89356,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xr),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xr)),xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_88651,c_130]) ).
tcf(c_89357,plain,
( ( sz00 = xr )
| ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xr),xr)) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_88651,c_133]) ).
tcf(c_89358,plain,
( ( sz10 = xr )
| ( sdtasdt0(xp,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ isPrime0(sdtasdt0(xp,xr))
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_88651,c_124]) ).
tcf(c_89359,plain,
( ( sdtasdt0(xr,sK1(xr,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_88651,c_99]) ).
tcf(c_89361,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_88651,c_114]) ).
tcf(c_89362,plain,
! [X0: $i] :
( doDivides0(X0,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89361,c_66,c_88650]) ).
tcf(c_89366,plain,
sdtasdt0(xr,sK1(xr,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_89359,c_66,c_88650]) ).
tcf(c_89367,plain,
( ( sz10 = xr )
| ( sdtasdt0(xp,xr) = xr )
| ~ isPrime0(sdtasdt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89358,c_66,c_88650]) ).
tcf(c_89371,plain,
sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xr),xr)) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_89357,c_27859,c_66,c_88650]) ).
tcf(c_89372,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sdtasdt0(xp,xr),xr)) = sdtsldt0(sdtasdt0(X0,sdtasdt0(xp,xr)),xr) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89356,c_27859,c_66,c_88650]) ).
tcf(c_89377,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_88652,c_127]) ).
tcf(c_89378,plain,
( ( sdtasdt0(xp,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ sdtlseqdt0(sdtasdt0(xp,xr),xr) ),
inference(superposition,[status(thm)],[c_88652,c_128]) ).
tcf(c_89379,plain,
( ( sdtpldt0(xr,sK0(xr,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_88652,c_84]) ).
tcf(c_89380,plain,
( iLess0(xr,sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_88652,c_96]) ).
tcf(c_89381,plain,
( iLess0(xr,sdtasdt0(xp,xr))
| ( sdtasdt0(xp,xr) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89380,c_66,c_88650]) ).
tcf(c_89384,plain,
sdtpldt0(xr,sK0(xr,sdtasdt0(xp,xr))) = sdtasdt0(xp,xr),
inference(forward_subsumption_resolution,[status(thm)],[c_89379,c_66,c_88650]) ).
tcf(c_89385,plain,
( ( sdtasdt0(xp,xr) = xr )
| ~ sdtlseqdt0(sdtasdt0(xp,xr),xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89378,c_66,c_88650]) ).
tcf(c_89388,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89377,c_66,c_88650]) ).
tcf(c_89397,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_88815,c_127]) ).
tcf(c_89398,plain,
( sdtlseqdt0(sz10,xn)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xr,xn) ),
inference(superposition,[status(thm)],[c_88815,c_128]) ).
tcf(c_89399,plain,
( sdtlseqdt0(sz10,xn)
| ( sdtpldt0(xn,sK0(xn,xr)) = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_88815,c_84]) ).
tcf(c_89400,plain,
( sdtlseqdt0(sz10,xn)
| iLess0(xn,xr)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_88815,c_96]) ).
tcf(c_89401,plain,
( sdtlseqdt0(sz10,xn)
| iLess0(xn,xr)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89400,c_66,c_49]) ).
tcf(c_89405,plain,
( sdtlseqdt0(sz10,xn)
| ( sdtpldt0(xn,sK0(xn,xr)) = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89399,c_66,c_49]) ).
tcf(c_89408,plain,
( sdtlseqdt0(sz10,xn)
| ( xn = xr )
| ~ sdtlseqdt0(xr,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89398,c_66,c_49]) ).
tcf(c_89412,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89397,c_66,c_49]) ).
tcf(c_89421,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(superposition,[status(thm)],[c_88821,c_127]) ).
tcf(c_89423,plain,
( sdtlseqdt0(xn,xm)
| ( sdtpldt0(xm,sK0(xm,xn)) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_88821,c_84]) ).
tcf(c_89424,plain,
( sdtlseqdt0(xn,xm)
| iLess0(xm,xn)
| ( xn = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_88821,c_96]) ).
tcf(c_89425,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88821,c_88836]) ).
tcf(c_89427,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(xm,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89425,c_50]) ).
tcf(c_89432,plain,
( sdtlseqdt0(xn,xm)
| iLess0(xm,xn)
| ( xn = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89424,c_50,c_49]) ).
tcf(c_89436,plain,
( sdtlseqdt0(xn,xm)
| ( sdtpldt0(xm,sK0(xm,xn)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89423,c_50,c_49]) ).
tcf(c_89439,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89421,c_50,c_49]) ).
tcf(c_89448,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_88830,c_127]) ).
tcf(c_89450,plain,
( sdtlseqdt0(xn,xr)
| ( sdtpldt0(xr,sK0(xr,xn)) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_88830,c_84]) ).
tcf(c_89451,plain,
( sdtlseqdt0(xn,xr)
| iLess0(xr,xn)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_88830,c_96]) ).
tcf(c_89452,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88830,c_88836]) ).
tcf(c_89453,plain,
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xn,xr)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_88830,c_7326]) ).
tcf(c_89454,plain,
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xn,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89453,c_66]) ).
tcf(c_89457,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89452,c_66]) ).
tcf(c_89462,plain,
( sdtlseqdt0(xn,xr)
| iLess0(xr,xn)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89451,c_66,c_49]) ).
tcf(c_89466,plain,
( sdtlseqdt0(xn,xr)
| ( sdtpldt0(xr,sK0(xr,xn)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89450,c_66,c_49]) ).
tcf(c_89469,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89448,c_66,c_49]) ).
tcf(c_89478,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_88831,c_127]) ).
tcf(c_89480,plain,
( sdtlseqdt0(sz10,xn)
| ( sdtpldt0(xn,sK0(xn,sz10)) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_88831,c_84]) ).
tcf(c_89481,plain,
( sdtlseqdt0(sz10,xn)
| iLess0(xn,sz10)
| ( xn = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_88831,c_96]) ).
tcf(c_89484,plain,
( sdtlseqdt0(sz10,xn)
| iLess0(xn,sz10)
| ( xn = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89481,c_138,c_49]) ).
tcf(c_89488,plain,
( sdtlseqdt0(sz10,xn)
| ( sdtpldt0(xn,sK0(xn,sz10)) = sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89480,c_138,c_49]) ).
tcf(c_89491,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89478,c_138,c_49]) ).
tcf(c_89506,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,xn)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_89197,c_127]) ).
tcf(c_89507,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_89197,c_128]) ).
tcf(c_89508,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_84]) ).
tcf(c_89509,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| iLess0(xn,X0)
| sdtlseqdt0(X0,X1)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_96]) ).
tcf(c_89510,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_6493]) ).
tcf(c_89511,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_88836]) ).
tcf(c_89521,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_55]) ).
tcf(c_89522,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_89197,c_127]) ).
tcf(c_89523,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_89197,c_128]) ).
tcf(c_89524,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_84]) ).
tcf(c_89525,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X1,xn)
| sdtlseqdt0(X0,X1)
| ( X1 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_96]) ).
tcf(c_89526,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X2,xn)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_88836]) ).
tcf(c_89527,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xp)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_7326]) ).
tcf(c_89530,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X2,xn)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_89197,c_127]) ).
tcf(c_89531,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xn)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_89197,c_128]) ).
tcf(c_89532,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xn)
| ( sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_84]) ).
tcf(c_89533,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xn)
| iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_96]) ).
tcf(c_89542,plain,
! [X0: $i] :
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_7322]) ).
tcf(c_89543,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_7288]) ).
tcf(c_89544,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89197,c_7284]) ).
tcf(c_89568,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89544,c_138]) ).
tcf(c_89580,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ( xn = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89510,c_134]) ).
tcf(c_89609,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89511,c_49]) ).
tcf(c_89623,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| iLess0(X1,xn)
| sdtlseqdt0(X0,X1)
| ( X1 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89525,c_49]) ).
tcf(c_89630,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| iLess0(xn,X0)
| sdtlseqdt0(X0,X1)
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89509,c_49]) ).
tcf(c_89638,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,X0)
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89523,c_49]) ).
tcf(c_89646,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ( X0 = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89507,c_49]) ).
tcf(c_89653,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X2)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89522,c_49]) ).
tcf(c_89661,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,xn)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89506,c_49]) ).
tcf(c_89681,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[status(thm)],[c_69,c_88838]) ).
tcf(c_89685,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X0,X1),xn)
| ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_79,c_88838]) ).
tcf(c_89686,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X0,X1),xn)
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(sdtpldt0(X2,X1))
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_88838]) ).
tcf(c_89689,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,X2))
| sdtlseqdt0(sdtasdt0(X0,X1),xn)
| ( 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_102,c_88838]) ).
tcf(c_89690,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,sdtasdt0(X2,X1))
| sdtlseqdt0(sdtasdt0(X0,X1),xn)
| ( 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_104,c_88838]) ).
tcf(c_89695,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_135,c_88838]) ).
tcf(c_89707,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_5405,c_88838]) ).
tcf(c_89708,plain,
( sdtlseqdt0(xp,xn)
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_5448,c_88838]) ).
tcf(c_89710,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,xm)
| ( xm = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_5490,c_88838]) ).
tcf(c_89716,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26051,c_88838]) ).
tcf(c_89717,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_5663,c_88838]) ).
tcf(c_89725,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),xn)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(superposition,[status(thm)],[c_5785,c_88838]) ).
tcf(c_89728,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25446,c_88838]) ).
tcf(c_89729,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25066,c_88838]) ).
tcf(c_89734,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_25308,c_88838]) ).
tcf(c_89737,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtpldt0(xn,xm),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_6800,c_88838]) ).
tcf(c_89749,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),xn)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xp)))
| ~ aNaturalNumber0(sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(superposition,[status(thm)],[c_14099,c_88838]) ).
tcf(c_89751,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(xn,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_16748,c_88838]) ).
tcf(c_89752,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xp))
| sdtlseqdt0(sdtpldt0(xn,xp),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_17666,c_88838]) ).
tcf(c_89754,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_20734,c_88838]) ).
tcf(c_89755,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),xn)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xr)))
| ~ aNaturalNumber0(sdtpldt0(xn,xr))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(superposition,[status(thm)],[c_21012,c_88838]) ).
tcf(c_89756,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_21305,c_88838]) ).
tcf(c_89759,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(sz10,xn)))
| ~ aNaturalNumber0(sdtpldt0(sz10,xn))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(superposition,[status(thm)],[c_23712,c_88838]) ).
tcf(c_89761,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_28962,c_88838]) ).
tcf(c_89763,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_30031,c_88838]) ).
tcf(c_89765,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_30350,c_88838]) ).
tcf(c_89766,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_32010,c_88838]) ).
tcf(c_89767,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_34867,c_88838]) ).
tcf(c_89768,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_36826,c_88838]) ).
tcf(c_89769,plain,
( sdtlseqdt0(xn,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtpldt0(xp,xm),xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_33924,c_88838]) ).
tcf(c_89770,plain,
( sdtlseqdt0(xn,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtpldt0(xr,xm),xn)
| ~ aNaturalNumber0(sdtpldt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_35085,c_88838]) ).
tcf(c_89771,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtpldt0(sz10,xm),xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xm)) ),
inference(superposition,[status(thm)],[c_37655,c_88838]) ).
tcf(c_89773,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_41039,c_88838]) ).
tcf(c_89774,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_43794,c_88838]) ).
tcf(c_89776,plain,
( sdtlseqdt0(xp,xn)
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_41229,c_88838]) ).
tcf(c_89777,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46674,c_88838]) ).
tcf(c_89778,plain,
( sdtlseqdt0(xn,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),xn)
| ~ aNaturalNumber0(sdtpldt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_46067,c_88838]) ).
tcf(c_89779,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xp))
| sdtlseqdt0(sdtpldt0(sz10,xp),xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_46984,c_88838]) ).
tcf(c_89781,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_49200,c_88838]) ).
tcf(c_89782,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_56549,c_88838]) ).
tcf(c_89783,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xr)) ),
inference(superposition,[status(thm)],[c_58414,c_88838]) ).
tcf(c_89785,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ( xn = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_62532,c_88838]) ).
tcf(c_89787,plain,
( sdtlseqdt0(xp,xn)
| sdtlseqdt0(xn,sdtasdt0(xn,xp))
| ( xn = sz00 )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_62889,c_88838]) ).
tcf(c_89789,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,sdtasdt0(xn,xr))
| ( xn = sz00 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_64497,c_88838]) ).
tcf(c_89790,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_67890,c_88838]) ).
tcf(c_89791,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(superposition,[status(thm)],[c_73745,c_88838]) ).
tcf(c_89792,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),xn)
| ~ aNaturalNumber0(sdtasdt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_78341,c_88838]) ).
tcf(c_89794,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_79416,c_88838]) ).
tcf(c_89796,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtasdt0(xr,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_79731,c_88838]) ).
tcf(c_89797,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),xn)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_85346,c_88838]) ).
tcf(c_89798,plain,
( sdtlseqdt0(xn,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtasdt0(xr,xm),xn)
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(superposition,[status(thm)],[c_88102,c_88838]) ).
tcf(c_89799,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,sdtasdt0(xp,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_88652,c_88838]) ).
tcf(c_89800,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,xk)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89681,c_66]) ).
tcf(c_89804,plain,
( sdtlseqdt0(xn,sdtasdt0(xr,xm))
| sdtlseqdt0(sdtasdt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89798,c_79729]) ).
tcf(c_89807,plain,
( sdtlseqdt0(xn,sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89797,c_79414]) ).
tcf(c_89810,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xr))
| sdtlseqdt0(sdtasdt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89792,c_64495]) ).
tcf(c_89813,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xp))
| sdtlseqdt0(sdtasdt0(xn,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89791,c_62887]) ).
tcf(c_89816,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89790,c_62530]) ).
tcf(c_89819,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xr))
| sdtlseqdt0(sdtpldt0(sz10,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89783,c_49199]) ).
tcf(c_89825,plain,
( sdtlseqdt0(xn,sdtpldt0(xp,xr))
| sdtlseqdt0(sdtpldt0(xp,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89778,c_41038]) ).
tcf(c_89828,plain,
( sdtlseqdt0(xn,sdtpldt0(sz10,xm))
| sdtlseqdt0(sdtpldt0(sz10,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89771,c_30349]) ).
tcf(c_89831,plain,
( sdtlseqdt0(xn,sdtpldt0(xr,xm))
| sdtlseqdt0(sdtpldt0(xr,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89770,c_30030]) ).
tcf(c_89834,plain,
( sdtlseqdt0(xn,sdtpldt0(xp,xm))
| sdtlseqdt0(sdtpldt0(xp,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89769,c_28961]) ).
tcf(c_89837,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xr))
| sdtlseqdt0(sdtpldt0(xn,xr),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89756,c_5662]) ).
tcf(c_89843,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,xm))
| sdtlseqdt0(sdtpldt0(xn,xm),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89737,c_5404]) ).
tcf(c_89850,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,sdtasdt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89799,c_66,c_88650]) ).
tcf(c_89853,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtasdt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89796,c_50,c_79729]) ).
tcf(c_89856,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89794,c_50,c_79414]) ).
tcf(c_89859,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89782,c_138,c_49199]) ).
tcf(c_89862,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,sdtpldt0(sz10,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89781,c_66,c_49199]) ).
tcf(c_89868,plain,
sdtlseqdt0(xn,sdtpldt0(sz10,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_89776,c_55,c_51,c_41228]) ).
tcf(c_89869,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89774,c_138,c_41038]) ).
tcf(c_89872,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,sdtpldt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89773,c_66,c_41038]) ).
tcf(c_89875,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89768,c_138,c_30349]) ).
tcf(c_89878,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89767,c_138,c_30030]) ).
tcf(c_89881,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89766,c_138,c_28961]) ).
tcf(c_89884,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtpldt0(sz10,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89765,c_50,c_30349]) ).
tcf(c_89887,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtpldt0(xr,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89763,c_50,c_30030]) ).
tcf(c_89890,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtpldt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89761,c_50,c_28961]) ).
tcf(c_89893,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89754,c_138,c_5662]) ).
tcf(c_89899,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,sdtpldt0(xn,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89717,c_66,c_5662]) ).
tcf(c_89902,plain,
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,xm)
| ( xm = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89710,c_138,c_50]) ).
tcf(c_89906,plain,
sdtlseqdt0(xn,sdtpldt0(xn,xp)),
inference(forward_subsumption_resolution,[status(thm)],[c_89708,c_55,c_51,c_5447]) ).
tcf(c_89907,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtpldt0(xn,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89707,c_50,c_5404]) ).
tcf(c_89910,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,sdtasdt0(xn,xr))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89789,c_66,c_64495]) ).
tcf(c_89914,plain,
( sdtlseqdt0(xn,sdtasdt0(xn,xp))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89787,c_55,c_51,c_62887]) ).
tcf(c_89917,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ( xn = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89785,c_50,c_62530]) ).
tcf(c_89921,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,xn)
| sdtlseqdt0(xn,X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89695,c_138]) ).
tcf(c_89927,plain,
( sdtlseqdt0(sdtpldt0(sz10,xn),xn)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(sz10,xn))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89759,c_5707,c_23711]) ).
tcf(c_89930,plain,
( sdtlseqdt0(sdtpldt0(xn,xr),xn)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xr))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89755,c_5662,c_21011]) ).
tcf(c_89933,plain,
( sdtlseqdt0(sdtpldt0(xn,xp),xn)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89749,c_5447,c_14098]) ).
tcf(c_89936,plain,
( sdtlseqdt0(sdtpldt0(xn,xm),xn)
| sdtlseqdt0(xn,sdtpldt0(xn,sdtpldt0(xn,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89725,c_5404,c_5784]) ).
tcf(c_89987,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(X2,sK0(X2,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_88784,c_127]) ).
tcf(c_89989,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X0 = sz00 )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(superposition,[status(thm)],[c_88784,c_128]) ).
tcf(c_89990,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88784,c_84]) ).
tcf(c_89991,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( X0 = sz00 )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88784,c_96]) ).
tcf(c_89992,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xn)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88784,c_88836]) ).
tcf(c_90004,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X0,X2)
| ( sdtpldt0(X2,sK0(X2,xn)) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_88784,c_127]) ).
tcf(c_90005,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,xn)
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88784,c_88838]) ).
tcf(c_90015,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(xn,sK0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88784,c_88836]) ).
tcf(c_90016,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(xn,sK0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88784,c_7326]) ).
tcf(c_90017,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(xm,sK0(xm,xn)) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88784,c_7322]) ).
tcf(c_90018,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88784,c_7288]) ).
tcf(c_90019,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88784,c_7284]) ).
tcf(c_90038,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90019,c_138]) ).
tcf(c_90043,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90018,c_138]) ).
tcf(c_90048,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(xm,sK0(xm,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90017,c_50]) ).
tcf(c_90068,plain,
! [X0: $i,X1: $i] :
( iLess0(sz00,X0)
| sdtlseqdt0(X0,X1)
| ( X0 = sz00 )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89991,c_134]) ).
tcf(c_90075,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(sz00,sK0(sz00,X0)) = X0 )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89990,c_134]) ).
tcf(c_90081,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X0 = sz00 )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89989,c_134]) ).
tcf(c_90088,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xn)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89992,c_134,c_49]) ).
tcf(c_90095,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(X2,sK0(X2,xn)) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89987,c_134]) ).
tcf(c_90113,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(X2,sK0(X2,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_88785,c_127]) ).
tcf(c_90115,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X0 = xn )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_88785,c_128]) ).
tcf(c_90116,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_84]) ).
tcf(c_90117,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(X0,X1)
| ( X0 = xn )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_96]) ).
tcf(c_90118,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( xn = sz00 )
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_6493]) ).
tcf(c_90119,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xn)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_88836]) ).
tcf(c_90123,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_7284]) ).
tcf(c_90125,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_7304]) ).
tcf(c_90127,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_7296]) ).
tcf(c_90128,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sz10)
| sdtlseqdt0(sz00,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_7292]) ).
tcf(c_90131,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X0,X2)
| ( sdtpldt0(X2,sK0(X2,xn)) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_88785,c_127]) ).
tcf(c_90132,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xn)
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_88838]) ).
tcf(c_90133,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| ( X0 = X1 )
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_88785,c_128]) ).
tcf(c_90142,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(xn,sK0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_88836]) ).
tcf(c_90143,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(xn,sK0(xn,xn)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_7326]) ).
tcf(c_90144,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(xm,sK0(xm,xn)) = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_7322]) ).
tcf(c_90145,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_7288]) ).
tcf(c_90146,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_88785,c_7284]) ).
tcf(c_90165,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xr)
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90146,c_138]) ).
tcf(c_90170,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(sz10,sK0(sz10,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90145,c_138]) ).
tcf(c_90175,plain,
! [X0: $i] :
( sdtlseqdt0(xn,X0)
| sdtlseqdt0(X0,xp)
| ( sdtpldt0(xm,sK0(xm,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90144,c_50]) ).
tcf(c_90181,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,X0)
| ( xn = sz00 )
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90118,c_134]) ).
tcf(c_90195,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xr)
| sdtlseqdt0(sz10,X0)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90123,c_138,c_49]) ).
tcf(c_90207,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(xn,X0)
| sdtlseqdt0(X1,xn)
| ( sdtpldt0(X0,sK0(X0,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90119,c_49]) ).
tcf(c_90221,plain,
! [X0: $i,X1: $i] :
( iLess0(xn,X0)
| sdtlseqdt0(X0,X1)
| ( X0 = xn )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90117,c_49]) ).
tcf(c_90228,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( sdtpldt0(xn,sK0(xn,X0)) = X0 )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90116,c_49]) ).
tcf(c_90234,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X0 = xn )
| ( sdtpldt0(X1,sK0(X1,xn)) = xn )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90115,c_49]) ).
tcf(c_90241,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ( sdtpldt0(X2,sK0(X2,xn)) = xn )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90113,c_49]) ).
tcf(c_90249,plain,
sdtsldt0(sz00,xr) = sz00,
inference(global_subsumption_just,[status(thm)],[c_87993,c_134,c_66,c_144,c_161,c_1657,c_4970,c_6066,c_10445,c_64432]) ).
tcf(c_90270,plain,
( ( sdtsldt0(sz00,xn) = sz00 )
| ( xn = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_85240,c_134,c_49,c_4973,c_61054,c_61277]) ).
tcf(c_90271,plain,
( ( xn = sz00 )
| ( sdtsldt0(sz00,xn) = sz00 ) ),
inference(renaming,[status(thm)],[c_90270]) ).
tcf(c_90278,plain,
sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
inference(global_subsumption_just,[status(thm)],[c_9843,c_1657,c_9843]) ).
tcf(c_90280,plain,
sdtasdt0(xn,xr) = xn,
inference(light_normalisation,[status(thm)],[c_90278,c_62355,c_88773]) ).
tcf(c_90295,plain,
sdtasdt0(xr,xn) = xn,
inference(demodulation,[status(thm)],[c_62355,c_90280]) ).
tcf(c_90296,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),xn)
| ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_90280,c_104]) ).
tcf(c_90303,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_90280,c_102]) ).
tcf(c_90304,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != xn ) ),
inference(superposition,[status(thm)],[c_90280,c_107]) ).
tcf(c_90305,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xr))
| ( sz00 = xr )
| ( X0 = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_90280,c_104]) ).
tcf(c_90306,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_90280,c_106]) ).
tcf(c_90307,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(superposition,[status(thm)],[c_90280,c_102]) ).
tcf(c_90308,plain,
! [X0: $i] :
( ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90306,c_66,c_49]) ).
tcf(c_90313,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xr) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90304,c_27859,c_66,c_49]) ).
tcf(c_90317,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(xn,X0))
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xr,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90307,c_66,c_49]) ).
tcf(c_90323,plain,
! [X0: $i] :
( sdtlseqdt0(xn,sdtasdt0(X0,xr))
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90305,c_27859,c_66,c_49]) ).
tcf(c_90328,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xn,X0),xn)
| ( xn = sz00 )
| ( X0 = xr )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90303,c_66,c_49]) ).
tcf(c_90334,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,xr),xn)
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90296,c_27859,c_66,c_49]) ).
tcf(c_90344,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xr)),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_89328,c_104]) ).
tcf(c_90352,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtasdt0(X0,sdtasdt0(xp,xr)) != sz00 ) ),
inference(superposition,[status(thm)],[c_89328,c_107]) ).
tcf(c_90353,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xr)))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_89328,c_104]) ).
tcf(c_90356,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtasdt0(xp,xr)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90352,c_88653,c_134,c_88650]) ).
tcf(c_90360,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(X0,sdtasdt0(xp,xr)))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90353,c_88653,c_134,c_88650]) ).
tcf(c_90365,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(X0,sdtasdt0(xp,xr)),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90344,c_88653,c_134,c_88650]) ).
tcf(c_90374,plain,
( doDivides0(sdtasdt0(xp,xr),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_89329,c_185]) ).
tcf(c_90377,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xr),X0),sz00)
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_89329,c_102]) ).
tcf(c_90380,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ( sdtasdt0(sdtasdt0(xp,xr),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_89329,c_106]) ).
tcf(c_90381,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xr),X0))
| ( X0 = sz00 )
| ( sdtasdt0(xp,xr) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_89329,c_102]) ).
tcf(c_90382,plain,
doDivides0(sdtasdt0(xp,xr),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_90374,c_134,c_88650]) ).
tcf(c_90383,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(sdtasdt0(xp,xr),X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90380,c_88653,c_134,c_88650]) ).
tcf(c_90387,plain,
! [X0: $i] :
( sdtlseqdt0(sz00,sdtasdt0(sdtasdt0(xp,xr),X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90381,c_88653,c_134,c_88650]) ).
tcf(c_90392,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtasdt0(xp,xr),X0),sz00)
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90377,c_88653,c_134,c_88650]) ).
tcf(c_90397,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xp,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_90382,c_130]) ).
tcf(c_90398,plain,
( ( sdtasdt0(xp,xr) = sz00 )
| ( sdtasdt0(sdtasdt0(xp,xr),sdtsldt0(sz00,sdtasdt0(xp,xr))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_90382,c_133]) ).
tcf(c_90400,plain,
( ( sdtasdt0(sdtasdt0(xp,xr),sK1(sdtasdt0(xp,xr),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_90382,c_99]) ).
tcf(c_90402,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xr))
| ~ doDivides0(X0,sdtasdt0(xp,xr)) ),
inference(superposition,[status(thm)],[c_90382,c_114]) ).
tcf(c_90403,plain,
! [X0: $i] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xr)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90402,c_134,c_88650]) ).
tcf(c_90407,plain,
sdtasdt0(sdtasdt0(xp,xr),sK1(sdtasdt0(xp,xr),sz00)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_90400,c_134,c_88650]) ).
tcf(c_90408,plain,
sdtasdt0(sdtasdt0(xp,xr),sdtsldt0(sz00,sdtasdt0(xp,xr))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_90398,c_88653,c_134,c_88650]) ).
tcf(c_90409,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sdtsldt0(sz00,sdtasdt0(xp,xr))) = sdtsldt0(sdtasdt0(X0,sz00),sdtasdt0(xp,xr)) )
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90397,c_88653,c_134,c_88650]) ).
tcf(c_90413,plain,
( sdtlseqdt0(xr,xn)
| sdtlseqdt0(xn,xk) ),
inference(global_subsumption_just,[status(thm)],[c_89800,c_1631,c_6587,c_62530,c_89800]) ).
tcf(c_90419,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xk)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(superposition,[status(thm)],[c_90413,c_127]) ).
tcf(c_90421,plain,
( sdtlseqdt0(xn,xk)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xn,xr) ),
inference(superposition,[status(thm)],[c_90413,c_128]) ).
tcf(c_90422,plain,
( sdtlseqdt0(xn,xk)
| ( sdtpldt0(xr,sK0(xr,xn)) = xn )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_90413,c_84]) ).
tcf(c_90423,plain,
( sdtlseqdt0(xn,xk)
| iLess0(xr,xn)
| ( xn = xr )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_90413,c_96]) ).
tcf(c_90424,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xk)
| sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_90413,c_88836]) ).
tcf(c_90425,plain,
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xn,xk)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_90413,c_7326]) ).
tcf(c_90426,plain,
( sdtlseqdt0(xr,xp)
| sdtlseqdt0(xn,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90425,c_66]) ).
tcf(c_90429,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xk)
| sdtlseqdt0(xr,X0)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90424,c_66]) ).
tcf(c_90434,plain,
( sdtlseqdt0(xn,xk)
| iLess0(xr,xn)
| ( xn = xr ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90423,c_66,c_49]) ).
tcf(c_90438,plain,
( sdtlseqdt0(xn,xk)
| ( sdtpldt0(xr,sK0(xr,xn)) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90422,c_66,c_49]) ).
tcf(c_90441,plain,
( sdtlseqdt0(xn,xk)
| ( xn = xr )
| ~ sdtlseqdt0(xn,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90421,c_66,c_49]) ).
tcf(c_90445,plain,
! [X0: $i] :
( sdtlseqdt0(xn,xk)
| sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xr) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90419,c_66,c_49]) ).
tcf(c_90450,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_89868,c_127]) ).
tcf(c_90452,plain,
( ( sdtpldt0(sz10,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp))
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(superposition,[status(thm)],[c_89868,c_128]) ).
tcf(c_90453,plain,
( ( sdtpldt0(xn,sK0(xn,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp) )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_89868,c_84]) ).
tcf(c_90454,plain,
( iLess0(xn,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz10,xp)) ),
inference(superposition,[status(thm)],[c_89868,c_96]) ).
tcf(c_90455,plain,
( iLess0(xn,sdtpldt0(sz10,xp))
| ( sdtpldt0(sz10,xp) = xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90454,c_49,c_41228]) ).
tcf(c_90458,plain,
sdtpldt0(xn,sK0(xn,sdtpldt0(sz10,xp))) = sdtpldt0(sz10,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_90453,c_49,c_41228]) ).
tcf(c_90459,plain,
( ( sdtpldt0(sz10,xp) = xn )
| ~ sdtlseqdt0(sdtpldt0(sz10,xp),xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90452,c_49,c_41228]) ).
tcf(c_90462,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sdtpldt0(sz10,xp))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_90450,c_49,c_41228]) ).
tcf(c_90466,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_90462,c_90459,c_90458,c_90455,c_90454,c_90453,c_90452,c_90450,c_90445,c_90441,c_90438,c_90434,c_90429,c_90426,c_90425,c_90424,c_90423,c_90422,c_90421,c_90419,c_90413,c_90409,c_90408,c_90407,c_90403,c_90402,c_90400,c_90398,c_90397,c_90392,c_90387,c_90383,c_90382,c_90381,c_90377,c_90374,c_90380,c_90365,c_90360,c_90356,c_90353,c_90352,c_90344,c_90334,c_90328,c_90323,c_90317,c_90313,c_90308,c_90307,c_90305,c_90303,c_90306,c_90304,c_90296,c_90295,c_90280,c_90271,c_90249,c_90241,c_90234,c_90228,c_90221,c_90207,c_90195,c_90181,c_90175,c_90170,c_90165,c_90146,c_90145,c_90144,c_90143,c_90142,c_90133,c_90132,c_90131,c_90128,c_90127,c_90125,c_90123,c_90119,c_90118,c_90117,c_90116,c_90115,c_90113,c_90095,c_90088,c_90081,c_90075,c_90068,c_90048,c_90043,c_90038,c_90019,c_90018,c_90017,c_90016,c_90015,c_90005,c_90004,c_89992,c_89991,c_89990,c_89989,c_89987,c_89936,c_89933,c_89930,c_89927,c_89921,c_89917,c_89914,c_89910,c_89907,c_89906,c_89902,c_89899,c_89893,c_89890,c_89887,c_89884,c_89881,c_89878,c_89875,c_89872,c_89869,c_89868,c_89862,c_89859,c_89856,c_89853,c_89850,c_89843,c_89837,c_89834,c_89831,c_89828,c_89825,c_89819,c_89816,c_89813,c_89810,c_89807,c_89804,c_89800,c_89799,c_89798,c_89797,c_89796,c_89794,c_89792,c_89791,c_89790,c_89789,c_89787,c_89785,c_89783,c_89782,c_89781,c_89779,c_89778,c_89777,c_89776,c_89774,c_89773,c_89771,c_89770,c_89769,c_89768,c_89767,c_89766,c_89765,c_89763,c_89761,c_89759,c_89756,c_89755,c_89754,c_89752,c_89751,c_89749,c_89737,c_89734,c_89729,c_89728,c_89725,c_89717,c_89716,c_89710,c_89708,c_89707,c_89695,c_89690,c_89689,c_89686,c_89685,c_89681,c_89661,c_89653,c_89646,c_89638,c_89630,c_89623,c_89609,c_89580,c_89568,c_89544,c_89543,c_89542,c_89533,c_89532,c_89531,c_89530,c_89527,c_89526,c_89525,c_89524,c_89523,c_89522,c_89521,c_89511,c_89510,c_89509,c_89508,c_89507,c_89506,c_89491,c_89488,c_89484,c_89481,c_89480,c_89478,c_89469,c_89466,c_89462,c_89457,c_89454,c_89453,c_89452,c_89451,c_89450,c_89448,c_89439,c_89436,c_89432,c_89427,c_89425,c_89424,c_89423,c_89421,c_89412,c_89408,c_89405,c_89401,c_89400,c_89399,c_89398,c_89397,c_89388,c_89385,c_89384,c_89381,c_89380,c_89379,c_89378,c_89377,c_89372,c_89371,c_89367,c_89366,c_89362,c_89361,c_89359,c_89358,c_89357,c_89356,c_89331,c_89330,c_89329,c_89328,c_89327,c_89326,c_89325,c_89324,c_89323,c_89322,c_89321,c_89320,c_89319,c_89318,c_89317,c_89316,c_89315,c_89314,c_89313,c_89312,c_89311,c_89310,c_89295,c_89282,c_89271,c_89247,c_89241,c_89234,c_89226,c_89221,c_89206,c_89205,c_89204,c_89202,c_89201,c_89199,c_89198,c_89197,c_89195,c_89192,c_89191,c_89193,c_89189,c_89171,c_89167,c_89161,c_89156,c_89154,c_89153,c_89140,c_89135,c_89131,c_89128,c_89127,c_89126,c_89125,c_89091,c_89090,c_89088,c_89076,c_89075,c_89073,c_88862,c_88841,c_88840,c_88839,c_88838,c_88837,c_88836,c_88834,c_88831,c_88830,c_88828,c_88821,c_88818,c_88815,c_88810,c_88808,c_88804,c_88794,c_88793,c_88792,c_88787,c_88785,c_88784,c_88783,c_88782,c_88781,c_88780,c_88776,c_88775,c_88773,c_88704,c_88696,c_88690,c_88685,c_88680,c_88675,c_88670,c_88665,c_88661,c_88657,c_88654,c_88653,c_88652,c_88651,c_88650,c_88649,c_88647,c_88645,c_88644,c_88642,c_88641,c_88640,c_88648,c_88646,c_88637,c_88636,c_88635,c_88634,c_88633,c_88632,c_88601,c_88600,c_88599,c_88598,c_88597,c_88596,c_88595,c_88594,c_88593,c_88592,c_88591,c_88590,c_88589,c_88588,c_88587,c_88586,c_88585,c_88584,c_88583,c_88582,c_88557,c_88549,c_88542,c_88537,c_88532,c_88527,c_88523,c_88519,c_88517,c_88514,c_88513,c_88508,c_88518,c_88515,c_88505,c_88504,c_88503,c_88497,c_88431,c_88427,c_88424,c_88423,c_88420,c_88419,c_88418,c_88417,c_88409,c_88408,c_88314,c_88306,c_88301,c_88296,c_88291,c_88286,c_88282,c_88278,c_88277,c_88275,c_88272,c_88271,c_88269,c_88276,c_88273,c_88263,c_88262,c_88255,c_88248,c_88242,c_88238,c_88233,c_88229,c_88228,c_88226,c_88224,c_88223,c_88222,c_88221,c_88220,c_88217,c_88211,c_88208,c_88207,c_88204,c_88202,c_88201,c_88161,c_88152,c_88147,c_88142,c_88137,c_88132,c_88126,c_88121,c_88115,c_88110,c_88106,c_88103,c_88102,c_88101,c_88100,c_88098,c_88096,c_88095,c_88093,c_88091,c_88099,c_88097,c_88088,c_88087,c_88086,c_88085,c_88084,c_88083,c_88007,c_87999,c_87993,c_87973,c_87960,c_87949,c_87934,c_87931,c_87930,c_87929,c_87927,c_87662,c_87661,c_87660,c_87659,c_87658,c_87657,c_87656,c_87655,c_87654,c_87653,c_87652,c_87651,c_87650,c_87649,c_87648,c_87647,c_87646,c_87645,c_87644,c_87643,c_87642,c_87641,c_87640,c_87639,c_87638,c_87637,c_87636,c_87635,c_87634,c_87633,c_87632,c_87631,c_87630,c_87345,c_87333,c_87322,c_87311,c_87300,c_87292,c_87282,c_87223,c_87212,c_87203,c_87174,c_87104,c_87084,c_87044,c_87041,c_87038,c_87035,c_87023,c_87017,c_87014,c_87010,c_87006,c_87002,c_86994,c_86991,c_86988,c_86985,c_86982,c_86979,c_86976,c_86973,c_86970,c_86967,c_86964,c_86961,c_86958,c_86955,c_86952,c_86949,c_86945,c_86941,c_86938,c_86935,c_86931,c_86928,c_86924,c_86921,c_86918,c_86915,c_86912,c_86909,c_86906,c_86903,c_86900,c_86897,c_86894,c_86891,c_86888,c_86885,c_86882,c_86879,c_86876,c_86873,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM510+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 04:21:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 56.90/8.90 % SZS status Started for theBenchmark.p
% 56.90/8.90 % SZS status Theorem for theBenchmark.p
% 56.90/8.90
% 56.90/8.90 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 56.90/8.90
% 56.90/8.90 % ------ iProver source info
% 56.90/8.90
% 56.90/8.90 % git: date: 2026-07-19 20:42:38 +0200
% 56.90/8.90 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 56.90/8.90 % git: non_committed_changes: false
% 56.90/8.90
% 56.90/8.90 % ------ Parsing...
% 56.90/8.90 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 56.90/8.90
% 56.90/8.90 % ------ Preprocessing... sup_sim: 0 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 %
% 56.90/8.90
% 56.90/8.90 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 56.90/8.90
% 56.90/8.90 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 56.90/8.90 % ------ Proving...
% 56.90/8.90 % ------ Problem Properties
% 56.90/8.90
% 56.90/8.90 %
% 56.90/8.90 % clauses 83
% 56.90/8.90 % conjectures 1
% 56.90/8.90 % EPR 33
% 56.90/8.90 % Horn 58
% 56.90/8.90 % unary 27
% 56.90/8.90 % binary 8
% 56.90/8.90 % lits 271
% 56.90/8.90 % lits eq 76
% 56.90/8.90 % fd_pure 0
% 56.90/8.90 % fd_pseudo 0
% 56.90/8.90 % fd_cond 15
% 56.90/8.90 % fd_pseudo_cond 11
% 56.90/8.90 % AC symbols 0
% 56.90/8.90
% 56.90/8.90 % ------ Schedule dynamic 5 is on
% 56.90/8.90
% 56.90/8.90 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 56.90/8.90
% 56.90/8.90
% 56.90/8.90 % ------
% 56.90/8.90 % Current options:
% 56.90/8.90 % ------
% 56.90/8.90
% 56.90/8.90
% 56.90/8.90 %
% 56.90/8.90
% 56.90/8.90 % ------ Proving...
% 56.90/8.90 %
% 56.90/8.90
% 56.90/8.90 % SZS status Theorem for theBenchmark.p
% 56.90/8.90
% 56.90/8.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 57.58/9.32
% 57.58/9.32
%------------------------------------------------------------------------------