%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM468+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : 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 02:24:38 PM UTC 2026
% Result : Theorem 171.52s 24.99s
% Output : CNFRefutation 178.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of formulae : 8641 (5128 unt; 0 def)
% Number of atoms : 18622 (11251 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 18600 (8619 ~;9868 |; 79 &)
% ( 6 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 3833 ( 0 sgn3824 !; 9 ?;3647 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X1 = sz00
& X0 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f33,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1240) ).
fof(f34,axiom,
( doDivides0(xl,xn)
& ? [X0] :
( xn = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) )
& doDivides0(xl,xm)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1240_04) ).
fof(f35,conjecture,
( xl != sz00
=> ( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( ( xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl)) )
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f36,negated_conjecture,
~ ( xl != sz00
=> ( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( ( xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl)) )
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f39,plain,
( doDivides0(xl,xn)
& ? [X1] :
( xn = sdtasdt0(xl,X1)
& aNaturalNumber0(X1) )
& doDivides0(xl,xm)
& ? [X0] :
( xm = sdtasdt0(xl,X0)
& aNaturalNumber0(X0) ) ),
inference(rectify,[],[f34]) ).
fof(f41,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f42,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f44,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f46,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f45]) ).
fof(f47,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(f48,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f50,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f51,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f50]) ).
fof(f52,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(f53,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f52]) ).
fof(f55,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f56,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(f57,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,[],[f56]) ).
fof(f58,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(f59,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,[],[f58]) ).
fof(f60,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(f61,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,[],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f63,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f65,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f64]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f85]) ).
fof(f87,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(f88,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,[],[f87]) ).
fof(f91,plain,
( xl != sz00
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl))
& sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(ennf_transformation,[],[f36]) ).
fof(f92,plain,
( xl != sz00
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl))
& sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(flattening,[],[f91]) ).
fof(f98,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,[],[f86]) ).
fof(f99,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,[],[f98]) ).
fof(f100,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))],[f99]) ).
fof(f101,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,[],[f88]) ).
fof(f102,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,[],[f101]) ).
fof(f103,plain,
( doDivides0(xl,xn)
& xn = sdtasdt0(xl,sK3)
& aNaturalNumber0(sK3)
& doDivides0(xl,xm)
& xm = sdtasdt0(xl,sK2)
& aNaturalNumber0(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f39]) ).
fof(f104,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f108,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f111,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f49]) ).
fof(f112,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f49]) ).
fof(f113,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f117,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f118,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f55]) ).
fof(f119,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,[],[f57]) ).
fof(f120,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,[],[f57]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f125,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f63]) ).
fof(f126,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f63]) ).
fof(f127,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f65]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| sdtasdt0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f102]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f155,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,[],[f102]) ).
fof(f157,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f33]) ).
fof(f158,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f33]) ).
fof(f159,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f33]) ).
fof(f160,plain,
doDivides0(xl,xn),
inference(cnf_transformation,[],[f103]) ).
fof(f163,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f103]) ).
fof(f166,plain,
sz00 != xl,
inference(cnf_transformation,[],[f92]) ).
fof(f167,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f92]) ).
fof(f168,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f92]) ).
fof(f169,plain,
xn = sdtasdt0(xl,sdtsldt0(xn,xl)),
inference(cnf_transformation,[],[f92]) ).
fof(f170,plain,
aNaturalNumber0(sdtsldt0(xn,xl)),
inference(cnf_transformation,[],[f92]) ).
fof(f171,plain,
sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(cnf_transformation,[],[f92]) ).
fof(f178,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f152]) ).
fof(f179,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,[],[f155]) ).
fof(f180,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f154]) ).
fof(f181,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f153]) ).
tcf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f104]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_56,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_57,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_63,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) = sdtasdt0(X0,sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) = sdtasdt0(sdtpldt0(X1,X2),X0) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2) ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1) ) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_68,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,[],[f124]) ).
tcf(c_69,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,[],[f123]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_97,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,[],[f179]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_101,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f159]) ).
tcf(c_102,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f158]) ).
tcf(c_103,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f157]) ).
tcf(c_106,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f163]) ).
tcf(c_109,plain,
doDivides0(xl,xn),
inference(cnf_transformation,[],[f160]) ).
tcf(c_110,negated_conjecture,
sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtpldt0(xm,xn),
inference(cnf_transformation,[],[f171]) ).
tcf(c_111,negated_conjecture,
aNaturalNumber0(sdtsldt0(xn,xl)),
inference(cnf_transformation,[],[f170]) ).
tcf(c_112,negated_conjecture,
sdtasdt0(xl,sdtsldt0(xn,xl)) = xn,
inference(cnf_transformation,[],[f169]) ).
tcf(c_113,negated_conjecture,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f168]) ).
tcf(c_114,negated_conjecture,
sdtasdt0(xl,sdtsldt0(xm,xl)) = xm,
inference(cnf_transformation,[],[f167]) ).
tcf(c_115,negated_conjecture,
sz00 != xl,
inference(cnf_transformation,[],[f166]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_94,c_53,c_94]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(X0,X1),X0) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_97,c_53,c_97,c_148]) ).
tcf(c_978,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_979,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1891,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_56]) ).
tcf(c_1892,plain,
sdtpldt0(xl,sz00) = xl,
inference(superposition,[status(thm)],[c_101,c_56]) ).
tcf(c_1893,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_102,c_56]) ).
tcf(c_1894,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_103,c_56]) ).
tcf(c_1895,plain,
sdtpldt0(sdtsldt0(xn,xl),sz00) = sdtsldt0(xn,xl),
inference(superposition,[status(thm)],[c_111,c_56]) ).
tcf(c_1896,plain,
sdtpldt0(sdtsldt0(xm,xl),sz00) = sdtsldt0(xm,xl),
inference(superposition,[status(thm)],[c_113,c_56]) ).
tcf(c_1898,plain,
sdtpldt0(sz00,xl) = xl,
inference(superposition,[status(thm)],[c_101,c_57]) ).
tcf(c_1899,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_102,c_57]) ).
tcf(c_1900,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_103,c_57]) ).
tcf(c_1901,plain,
sdtpldt0(sz00,sdtsldt0(xn,xl)) = sdtsldt0(xn,xl),
inference(superposition,[status(thm)],[c_111,c_57]) ).
tcf(c_1902,plain,
sdtpldt0(sz00,sdtsldt0(xm,xl)) = sdtsldt0(xm,xl),
inference(superposition,[status(thm)],[c_113,c_57]) ).
tcf(c_1903,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_62]) ).
tcf(c_1904,plain,
sdtasdt0(xl,sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_62]) ).
tcf(c_1905,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_62]) ).
tcf(c_1906,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_62]) ).
tcf(c_1907,plain,
sdtasdt0(sdtsldt0(xn,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_111,c_62]) ).
tcf(c_1908,plain,
sdtasdt0(sdtsldt0(xm,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_113,c_62]) ).
tcf(c_1910,plain,
sdtasdt0(sz00,xl) = sz00,
inference(superposition,[status(thm)],[c_101,c_63]) ).
tcf(c_1911,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_102,c_63]) ).
tcf(c_1912,plain,
sdtasdt0(sz00,xn) = sz00,
inference(superposition,[status(thm)],[c_103,c_63]) ).
tcf(c_1913,plain,
sdtasdt0(sz00,sdtsldt0(xn,xl)) = sz00,
inference(superposition,[status(thm)],[c_111,c_63]) ).
tcf(c_1914,plain,
sdtasdt0(sz00,sdtsldt0(xm,xl)) = sz00,
inference(superposition,[status(thm)],[c_113,c_63]) ).
tcf(c_1925,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_63]) ).
tcf(c_1926,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_62]) ).
tcf(c_1927,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_57]) ).
tcf(c_1928,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_56]) ).
tcf(c_1939,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_63]) ).
tcf(c_1940,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_62]) ).
tcf(c_1941,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_57]) ).
tcf(c_1942,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_56]) ).
tcf(c_1967,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_54]) ).
tcf(c_1968,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_52,c_54]) ).
tcf(c_1969,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_53,c_54]) ).
tcf(c_1970,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xl) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_54]) ).
tcf(c_1971,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_54]) ).
tcf(c_1972,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_54]) ).
tcf(c_1973,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),X0) = sdtpldt0(X0,sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_54]) ).
tcf(c_1974,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),X0) = sdtpldt0(X0,sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_54]) ).
tcf(c_2004,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_58]) ).
tcf(c_2005,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_52,c_58]) ).
tcf(c_2006,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_53,c_58]) ).
tcf(c_2007,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xl) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_58]) ).
tcf(c_2008,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_58]) ).
tcf(c_2009,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_58]) ).
tcf(c_2010,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),X0) = sdtasdt0(X0,sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_58]) ).
tcf(c_2011,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),X0) = sdtasdt0(X0,sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_58]) ).
tcf(c_2041,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1967]) ).
tcf(c_2042,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtpldt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1967]) ).
tcf(c_2043,plain,
sdtpldt0(sz00,xl) = sdtpldt0(xl,sz00),
inference(superposition,[status(thm)],[c_101,c_1967]) ).
tcf(c_2044,plain,
sdtpldt0(sz00,xm) = sdtpldt0(xm,sz00),
inference(superposition,[status(thm)],[c_102,c_1967]) ).
tcf(c_2045,plain,
sdtpldt0(sz00,xn) = sdtpldt0(xn,sz00),
inference(superposition,[status(thm)],[c_103,c_1967]) ).
tcf(c_2046,plain,
sdtpldt0(sdtsldt0(xn,xl),sz00) = sdtpldt0(sz00,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_111,c_1967]) ).
tcf(c_2047,plain,
sdtpldt0(sdtsldt0(xm,xl),sz00) = sdtpldt0(sz00,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_113,c_1967]) ).
tcf(c_2067,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ( sdtpldt0(sz00,xl) != sz00 ) ),
inference(superposition,[status(thm)],[c_2043,c_70]) ).
tcf(c_2068,plain,
( aNaturalNumber0(sdtpldt0(sz00,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2043,c_52]) ).
tcf(c_2072,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ( sdtpldt0(sz00,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_2044,c_70]) ).
tcf(c_2073,plain,
( aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2044,c_52]) ).
tcf(c_2077,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ( sdtpldt0(sz00,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_2045,c_70]) ).
tcf(c_2078,plain,
( aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2045,c_52]) ).
tcf(c_2082,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(sz00,sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2046,c_70]) ).
tcf(c_2083,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_2046,c_52]) ).
tcf(c_2085,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_2090,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(sz00,sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2047,c_70]) ).
tcf(c_2091,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_2047,c_52]) ).
tcf(c_2101,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1973]) ).
tcf(c_2102,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1973]) ).
tcf(c_2103,plain,
sdtpldt0(sdtsldt0(xn,xl),xl) = sdtpldt0(xl,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_101,c_1973]) ).
tcf(c_2104,plain,
sdtpldt0(sdtsldt0(xn,xl),xm) = sdtpldt0(xm,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_102,c_1973]) ).
tcf(c_2105,plain,
sdtpldt0(sdtsldt0(xn,xl),xn) = sdtpldt0(xn,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_103,c_1973]) ).
tcf(c_2107,plain,
sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_113,c_1973]) ).
tcf(c_2120,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1974]) ).
tcf(c_2121,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1974]) ).
tcf(c_2122,plain,
sdtpldt0(sdtsldt0(xm,xl),xl) = sdtpldt0(xl,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_101,c_1974]) ).
tcf(c_2123,plain,
sdtpldt0(sdtsldt0(xm,xl),xm) = sdtpldt0(xm,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_102,c_1974]) ).
tcf(c_2124,plain,
sdtpldt0(sdtsldt0(xm,xl),xn) = sdtpldt0(xn,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_103,c_1974]) ).
tcf(c_2150,plain,
sdtasdt0(sdtsldt0(xn,xl),sz00) = sdtasdt0(sz00,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_49,c_2010]) ).
tcf(c_2151,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2010]) ).
tcf(c_2152,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2010]) ).
tcf(c_2153,plain,
sdtasdt0(sdtsldt0(xn,xl),xl) = sdtasdt0(xl,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_101,c_2010]) ).
tcf(c_2154,plain,
sdtasdt0(sdtsldt0(xn,xl),xm) = sdtasdt0(xm,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_102,c_2010]) ).
tcf(c_2155,plain,
sdtasdt0(sdtsldt0(xn,xl),xn) = sdtasdt0(xn,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_103,c_2010]) ).
tcf(c_2157,plain,
sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_113,c_2010]) ).
tcf(c_2160,plain,
sdtasdt0(sdtsldt0(xm,xl),sz00) = sdtasdt0(sz00,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_49,c_2011]) ).
tcf(c_2161,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2011]) ).
tcf(c_2162,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2011]) ).
tcf(c_2163,plain,
sdtasdt0(sdtsldt0(xm,xl),xl) = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_101,c_2011]) ).
tcf(c_2164,plain,
sdtasdt0(sdtsldt0(xm,xl),xm) = sdtasdt0(xm,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_102,c_2011]) ).
tcf(c_2165,plain,
sdtasdt0(sdtsldt0(xm,xl),xn) = sdtasdt0(xn,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_103,c_2011]) ).
tcf(c_2186,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2107,c_71]) ).
tcf(c_2187,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2107,c_70]) ).
tcf(c_2188,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_2107,c_52]) ).
tcf(c_2189,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_2157,c_53]) ).
tcf(c_2190,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2011]) ).
tcf(c_2191,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2010]) ).
tcf(c_2192,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_1974]) ).
tcf(c_2193,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_1973]) ).
tcf(c_2194,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_98,c_1967]) ).
tcf(c_2195,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_98,c_58]) ).
tcf(c_2196,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_98,c_54]) ).
tcf(c_2197,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_98,c_63]) ).
tcf(c_2198,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_98,c_62]) ).
tcf(c_2199,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_98,c_57]) ).
tcf(c_2200,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_98,c_56]) ).
tcf(c_2217,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtpldt0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_161]) ).
tcf(c_2218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,X1) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(X0,X1)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_161]) ).
tcf(c_2219,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(X1,X0) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(X1,X0),X2),sdtsldt0(X1,X0)) = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_161]) ).
tcf(c_2220,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_161]) ).
tcf(c_2221,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,X0),xm) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_161]) ).
tcf(c_2222,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,X0),xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_161]) ).
tcf(c_2223,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),X0),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_161]) ).
tcf(c_2224,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),X0),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_161]) ).
tcf(c_2250,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_55]) ).
tcf(c_2251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_55]) ).
tcf(c_2252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_55]) ).
tcf(c_2253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X2),X3) = sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_55]) ).
tcf(c_2254,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xl,X0),X1) = sdtpldt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_55]) ).
tcf(c_2255,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),X1) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_55]) ).
tcf(c_2256,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xn,X0),X1) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_55]) ).
tcf(c_2257,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),X0),X1) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_55]) ).
tcf(c_2258,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),X0),X1) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_55]) ).
tcf(c_2290,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),X1) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_59]) ).
tcf(c_2291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),X3) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_59]) ).
tcf(c_2292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),X3) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_59]) ).
tcf(c_2293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(X1,X0),X2),X3) = sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_59]) ).
tcf(c_2294,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xl,X0),X1) = sdtasdt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_59]) ).
tcf(c_2295,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,X0),X1) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_59]) ).
tcf(c_2296,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xn,X0),X1) = sdtasdt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_59]) ).
tcf(c_2297,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),X0),X1) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_59]) ).
tcf(c_2298,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),X0),X1) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_59]) ).
tcf(c_2306,plain,
aNaturalNumber0(sdtpldt0(sz00,xl)),
inference(global_subsumption_just,[status(thm)],[c_2068,c_101,c_49,c_2068]) ).
tcf(c_2309,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,xl),X0),X1) = sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_59]) ).
tcf(c_2310,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,xl),X0),X1) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_55]) ).
tcf(c_2311,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,xl),X0),sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_161]) ).
tcf(c_2312,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_2011]) ).
tcf(c_2313,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_2010]) ).
tcf(c_2314,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_1974]) ).
tcf(c_2315,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_1973]) ).
tcf(c_2316,plain,
sdtpldt0(sdtpldt0(sz00,xl),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_1967]) ).
tcf(c_2317,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,xl),X0) = sdtasdt0(X0,sdtpldt0(sz00,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_58]) ).
tcf(c_2318,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,xl),X0) = sdtpldt0(X0,sdtpldt0(sz00,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_54]) ).
tcf(c_2319,plain,
sdtasdt0(sz00,sdtpldt0(sz00,xl)) = sz00,
inference(superposition,[status(thm)],[c_2306,c_63]) ).
tcf(c_2320,plain,
sdtasdt0(sdtpldt0(sz00,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_2306,c_62]) ).
tcf(c_2321,plain,
sdtpldt0(sz00,sdtpldt0(sz00,xl)) = sdtpldt0(sz00,xl),
inference(superposition,[status(thm)],[c_2306,c_57]) ).
tcf(c_2322,plain,
sdtpldt0(sdtpldt0(sz00,xl),sz00) = sdtpldt0(sz00,xl),
inference(superposition,[status(thm)],[c_2306,c_56]) ).
tcf(c_2422,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(xn) ),
inference(resolution,[status(thm)],[c_979,c_112]) ).
tcf(c_2423,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(xm) ),
inference(resolution,[status(thm)],[c_979,c_114]) ).
tcf(c_2439,plain,
aNaturalNumber0(sdtpldt0(sz00,xm)),
inference(global_subsumption_just,[status(thm)],[c_2073,c_102,c_49,c_2073]) ).
tcf(c_2442,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,xm),X0),X1) = sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_59]) ).
tcf(c_2443,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,xm),X0),X1) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_55]) ).
tcf(c_2444,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,xm),X0),sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_161]) ).
tcf(c_2445,plain,
sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_2011]) ).
tcf(c_2446,plain,
sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_2010]) ).
tcf(c_2447,plain,
sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_1974]) ).
tcf(c_2448,plain,
sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_1973]) ).
tcf(c_2449,plain,
sdtpldt0(sdtpldt0(sz00,xm),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_1967]) ).
tcf(c_2450,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,xm),X0) = sdtasdt0(X0,sdtpldt0(sz00,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_58]) ).
tcf(c_2451,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,xm),X0) = sdtpldt0(X0,sdtpldt0(sz00,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_54]) ).
tcf(c_2452,plain,
sdtasdt0(sz00,sdtpldt0(sz00,xm)) = sz00,
inference(superposition,[status(thm)],[c_2439,c_63]) ).
tcf(c_2453,plain,
sdtasdt0(sdtpldt0(sz00,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_2439,c_62]) ).
tcf(c_2454,plain,
sdtpldt0(sz00,sdtpldt0(sz00,xm)) = sdtpldt0(sz00,xm),
inference(superposition,[status(thm)],[c_2439,c_57]) ).
tcf(c_2455,plain,
sdtpldt0(sdtpldt0(sz00,xm),sz00) = sdtpldt0(sz00,xm),
inference(superposition,[status(thm)],[c_2439,c_56]) ).
tcf(c_2498,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sz00),sdtsldt0(xn,xl)) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_2223]) ).
tcf(c_2499,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)),sdtsldt0(xn,xl)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2223]) ).
tcf(c_2500,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)),sdtsldt0(xn,xl)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2223]) ).
tcf(c_2501,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)),sdtsldt0(xn,xl)) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2223]) ).
tcf(c_2502,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),xl),sdtsldt0(xn,xl)) = xl ) ),
inference(superposition,[status(thm)],[c_101,c_2223]) ).
tcf(c_2503,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),xm),sdtsldt0(xn,xl)) = xm ) ),
inference(superposition,[status(thm)],[c_102,c_2223]) ).
tcf(c_2504,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),xn),sdtsldt0(xn,xl)) = xn ) ),
inference(superposition,[status(thm)],[c_103,c_2223]) ).
tcf(c_2505,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtsldt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_111,c_2223]) ).
tcf(c_2506,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtsldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_113,c_2223]) ).
tcf(c_2507,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_2306,c_2223]) ).
tcf(c_2508,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),sdtsldt0(xn,xl)) = sdtpldt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_2439,c_2223]) ).
tcf(c_2577,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtsldt0(xn,xl)) = X0 )
| ( X0 != xn ) ),
inference(resolution,[status(thm)],[c_978,c_112]) ).
tcf(c_2579,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtsldt0(xm,xl)) = X0 )
| ( X0 != xm ) ),
inference(resolution,[status(thm)],[c_978,c_114]) ).
tcf(c_2582,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sz00),sdtsldt0(xm,xl)) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_2224]) ).
tcf(c_2583,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)),sdtsldt0(xm,xl)) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2224]) ).
tcf(c_2584,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)),sdtsldt0(xm,xl)) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2224]) ).
tcf(c_2585,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)),sdtsldt0(xm,xl)) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2224]) ).
tcf(c_2586,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),xl),sdtsldt0(xm,xl)) = xl ) ),
inference(superposition,[status(thm)],[c_101,c_2224]) ).
tcf(c_2587,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),xm),sdtsldt0(xm,xl)) = xm ) ),
inference(superposition,[status(thm)],[c_102,c_2224]) ).
tcf(c_2588,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),xn),sdtsldt0(xm,xl)) = xn ) ),
inference(superposition,[status(thm)],[c_103,c_2224]) ).
tcf(c_2589,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtsldt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_111,c_2224]) ).
tcf(c_2590,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtsldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_113,c_2224]) ).
tcf(c_2591,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_2306,c_2224]) ).
tcf(c_2592,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),sdtsldt0(xm,xl)) = sdtpldt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_2439,c_2224]) ).
tcf(c_2618,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sz00),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_2257]) ).
tcf(c_2619,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)),X2) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2257]) ).
tcf(c_2620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)),X2) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2257]) ).
tcf(c_2621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)),X2) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2257]) ).
tcf(c_2622,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),xl),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_2257]) ).
tcf(c_2623,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),xm),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_2257]) ).
tcf(c_2624,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),xn),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_2257]) ).
tcf(c_2625,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_2257]) ).
tcf(c_2626,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_2257]) ).
tcf(c_2627,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_2257]) ).
tcf(c_2628,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_2257]) ).
tcf(c_2646,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sz00),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_2258]) ).
tcf(c_2647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)),X2) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2258]) ).
tcf(c_2648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)),X2) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2258]) ).
tcf(c_2649,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)),X2) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2258]) ).
tcf(c_2650,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),xl),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_2258]) ).
tcf(c_2651,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),xm),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_2258]) ).
tcf(c_2652,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),xn),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_2258]) ).
tcf(c_2653,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_2258]) ).
tcf(c_2654,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_2258]) ).
tcf(c_2655,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_2258]) ).
tcf(c_2656,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_2258]) ).
tcf(c_2674,plain,
! [X0: $i] :
( aNaturalNumber0(sdtpldt0(xl,X0))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_2719,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sz00),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_2297]) ).
tcf(c_2720,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)),X2) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2297]) ).
tcf(c_2721,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)),X2) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2297]) ).
tcf(c_2722,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)),X2) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2297]) ).
tcf(c_2723,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),xl),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_2297]) ).
tcf(c_2724,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),xm),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_2297]) ).
tcf(c_2725,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),xn),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_2297]) ).
tcf(c_2726,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_2297]) ).
tcf(c_2727,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_2297]) ).
tcf(c_2728,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(sz00,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_2297]) ).
tcf(c_2729,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(sz00,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_2297]) ).
tcf(c_2769,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sz00),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_2298]) ).
tcf(c_2770,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)),X2) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2298]) ).
tcf(c_2771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)),X2) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2298]) ).
tcf(c_2772,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)),X2) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2298]) ).
tcf(c_2773,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),xl),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_2298]) ).
tcf(c_2774,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),xm),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_2298]) ).
tcf(c_2775,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),xn),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_2298]) ).
tcf(c_2776,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_2298]) ).
tcf(c_2777,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_2298]) ).
tcf(c_2778,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(sz00,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_2298]) ).
tcf(c_2779,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(sz00,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_2298]) ).
tcf(c_2846,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtsldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_2157,c_2506]) ).
tcf(c_2848,plain,
( ( sz00 = xl )
| ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_112,c_72]) ).
tcf(c_2849,plain,
( ( sz00 = xl )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sz00 != xm ) ),
inference(superposition,[status(thm)],[c_114,c_72]) ).
tcf(c_2861,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2157,c_72]) ).
tcf(c_2889,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1891,c_66]) ).
tcf(c_2890,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != sdtpldt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_2043,c_66]) ).
tcf(c_2891,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != xl ) ),
inference(superposition,[status(thm)],[c_1892,c_66]) ).
tcf(c_2892,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_2044,c_66]) ).
tcf(c_2893,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_1893,c_66]) ).
tcf(c_2894,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_2045,c_66]) ).
tcf(c_2895,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_1894,c_66]) ).
tcf(c_2896,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(sdtsldt0(xn,xl),X0) != sdtpldt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_2046,c_66]) ).
tcf(c_2897,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(sdtsldt0(xn,xl),X0) != sdtsldt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_1895,c_66]) ).
tcf(c_2898,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(sdtsldt0(xm,xl),X0) != sdtpldt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_2047,c_66]) ).
tcf(c_2899,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(sdtsldt0(xm,xl),X0) != sdtsldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_1896,c_66]) ).
tcf(c_2900,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(superposition,[status(thm)],[c_1898,c_66]) ).
tcf(c_2901,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_1899,c_66]) ).
tcf(c_2902,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_1900,c_66]) ).
tcf(c_2903,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(sz00,X0) != sdtsldt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_1901,c_66]) ).
tcf(c_2904,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(sz00,X0) != sdtsldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_1902,c_66]) ).
tcf(c_2905,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_2107,c_66]) ).
tcf(c_3020,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(superposition,[status(thm)],[c_1891,c_67]) ).
tcf(c_3021,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_2043,c_67]) ).
tcf(c_3022,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xl ) ),
inference(superposition,[status(thm)],[c_1892,c_67]) ).
tcf(c_3023,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_2044,c_67]) ).
tcf(c_3024,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(superposition,[status(thm)],[c_1893,c_67]) ).
tcf(c_3025,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_2045,c_67]) ).
tcf(c_3026,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(superposition,[status(thm)],[c_1894,c_67]) ).
tcf(c_3027,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(sz00,sdtsldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_2046,c_67]) ).
tcf(c_3028,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(X0,sz00) != sdtsldt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_1895,c_67]) ).
tcf(c_3029,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(sz00,sdtsldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_2047,c_67]) ).
tcf(c_3030,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(X0,sz00) != sdtsldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_1896,c_67]) ).
tcf(c_3031,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != xl ) ),
inference(superposition,[status(thm)],[c_1898,c_67]) ).
tcf(c_3032,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_1899,c_67]) ).
tcf(c_3033,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_1900,c_67]) ).
tcf(c_3034,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(X0,sdtsldt0(xn,xl)) != sdtsldt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_1901,c_67]) ).
tcf(c_3035,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(X0,sdtsldt0(xm,xl)) != sdtsldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_1902,c_67]) ).
tcf(c_3036,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_2107,c_67]) ).
tcf(c_3105,plain,
aNaturalNumber0(sdtpldt0(sz00,xn)),
inference(global_subsumption_just,[status(thm)],[c_2078,c_103,c_49,c_2078]) ).
tcf(c_3108,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(sz00,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_2298]) ).
tcf(c_3109,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(sz00,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_2297]) ).
tcf(c_3110,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_2258]) ).
tcf(c_3111,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_2257]) ).
tcf(c_3112,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),sdtsldt0(xm,xl)) = sdtpldt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_3105,c_2224]) ).
tcf(c_3113,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),sdtsldt0(xn,xl)) = sdtpldt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_3105,c_2223]) ).
tcf(c_3114,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,xn),X0),X1) = sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_59]) ).
tcf(c_3115,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,xn),X0),X1) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_55]) ).
tcf(c_3116,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,xn),X0),sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_161]) ).
tcf(c_3117,plain,
sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_2011]) ).
tcf(c_3118,plain,
sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_2010]) ).
tcf(c_3119,plain,
sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_1974]) ).
tcf(c_3120,plain,
sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_1973]) ).
tcf(c_3121,plain,
sdtpldt0(sdtpldt0(sz00,xn),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_1967]) ).
tcf(c_3122,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,xn),X0) = sdtasdt0(X0,sdtpldt0(sz00,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_58]) ).
tcf(c_3123,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,xn),X0) = sdtpldt0(X0,sdtpldt0(sz00,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_54]) ).
tcf(c_3124,plain,
sdtasdt0(sz00,sdtpldt0(sz00,xn)) = sz00,
inference(superposition,[status(thm)],[c_3105,c_63]) ).
tcf(c_3125,plain,
sdtasdt0(sdtpldt0(sz00,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_3105,c_62]) ).
tcf(c_3126,plain,
sdtpldt0(sz00,sdtpldt0(sz00,xn)) = sdtpldt0(sz00,xn),
inference(superposition,[status(thm)],[c_3105,c_57]) ).
tcf(c_3127,plain,
sdtpldt0(sdtpldt0(sz00,xn),sz00) = sdtpldt0(sz00,xn),
inference(superposition,[status(thm)],[c_3105,c_56]) ).
tcf(c_3172,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sz00)),
inference(superposition,[status(thm)],[c_49,c_2625]) ).
tcf(c_3173,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2625]) ).
tcf(c_3174,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2625]) ).
tcf(c_3175,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2625]) ).
tcf(c_3176,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),xl) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),xl)),
inference(superposition,[status(thm)],[c_101,c_2625]) ).
tcf(c_3177,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),xm) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),xm)),
inference(superposition,[status(thm)],[c_102,c_2625]) ).
tcf(c_3178,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),xn) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),xn)),
inference(superposition,[status(thm)],[c_103,c_2625]) ).
tcf(c_3179,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_111,c_2625]) ).
tcf(c_3180,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_113,c_2625]) ).
tcf(c_3181,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_2306,c_2625]) ).
tcf(c_3182,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_2439,c_2625]) ).
tcf(c_3183,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_3105,c_2625]) ).
tcf(c_3220,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sz00)),
inference(superposition,[status(thm)],[c_49,c_2626]) ).
tcf(c_3221,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2626]) ).
tcf(c_3222,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(X0,X1)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2626]) ).
tcf(c_3223,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2626]) ).
tcf(c_3224,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),xl) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),xl)),
inference(superposition,[status(thm)],[c_101,c_2626]) ).
tcf(c_3225,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),xm) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),xm)),
inference(superposition,[status(thm)],[c_102,c_2626]) ).
tcf(c_3226,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),xn) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),xn)),
inference(superposition,[status(thm)],[c_103,c_2626]) ).
tcf(c_3227,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_111,c_2626]) ).
tcf(c_3228,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_113,c_2626]) ).
tcf(c_3229,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_2306,c_2626]) ).
tcf(c_3230,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_2439,c_2626]) ).
tcf(c_3231,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_3105,c_2626]) ).
tcf(c_3263,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sz00)),
inference(superposition,[status(thm)],[c_49,c_2653]) ).
tcf(c_3264,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2653]) ).
tcf(c_3265,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2653]) ).
tcf(c_3266,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2653]) ).
tcf(c_3267,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xl) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),xl)),
inference(superposition,[status(thm)],[c_101,c_2653]) ).
tcf(c_3268,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xm) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),xm)),
inference(superposition,[status(thm)],[c_102,c_2653]) ).
tcf(c_3269,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xn) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),xn)),
inference(superposition,[status(thm)],[c_103,c_2653]) ).
tcf(c_3270,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_111,c_2653]) ).
tcf(c_3271,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_113,c_2653]) ).
tcf(c_3272,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_2306,c_2653]) ).
tcf(c_3273,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_2439,c_2653]) ).
tcf(c_3274,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_3105,c_2653]) ).
tcf(c_3334,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sz00)),
inference(superposition,[status(thm)],[c_49,c_2654]) ).
tcf(c_3335,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2654]) ).
tcf(c_3336,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(X0,X1)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2654]) ).
tcf(c_3337,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(X1,X0)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2654]) ).
tcf(c_3338,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),xl) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),xl)),
inference(superposition,[status(thm)],[c_101,c_2654]) ).
tcf(c_3339,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),xm) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),xm)),
inference(superposition,[status(thm)],[c_102,c_2654]) ).
tcf(c_3340,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),xn) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),xn)),
inference(superposition,[status(thm)],[c_103,c_2654]) ).
tcf(c_3341,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_111,c_2654]) ).
tcf(c_3342,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_113,c_2654]) ).
tcf(c_3343,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_2306,c_2654]) ).
tcf(c_3344,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_2439,c_2654]) ).
tcf(c_3345,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_3105,c_2654]) ).
tcf(c_3377,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sz00)),
inference(superposition,[status(thm)],[c_49,c_2726]) ).
tcf(c_3378,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2726]) ).
tcf(c_3379,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2726]) ).
tcf(c_3380,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2726]) ).
tcf(c_3381,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),xl) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),xl)),
inference(superposition,[status(thm)],[c_101,c_2726]) ).
tcf(c_3382,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),xm) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),xm)),
inference(superposition,[status(thm)],[c_102,c_2726]) ).
tcf(c_3383,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),xn) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),xn)),
inference(superposition,[status(thm)],[c_103,c_2726]) ).
tcf(c_3384,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_111,c_2726]) ).
tcf(c_3385,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_113,c_2726]) ).
tcf(c_3386,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_2306,c_2726]) ).
tcf(c_3387,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_2439,c_2726]) ).
tcf(c_3388,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_3105,c_2726]) ).
tcf(c_3422,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sz00)),
inference(superposition,[status(thm)],[c_49,c_2727]) ).
tcf(c_3423,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2727]) ).
tcf(c_3424,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(X0,X1)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2727]) ).
tcf(c_3425,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2727]) ).
tcf(c_3426,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),xl) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),xl)),
inference(superposition,[status(thm)],[c_101,c_2727]) ).
tcf(c_3427,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),xm) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),xm)),
inference(superposition,[status(thm)],[c_102,c_2727]) ).
tcf(c_3428,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),xn) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),xn)),
inference(superposition,[status(thm)],[c_103,c_2727]) ).
tcf(c_3429,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_111,c_2727]) ).
tcf(c_3430,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_113,c_2727]) ).
tcf(c_3431,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_2306,c_2727]) ).
tcf(c_3432,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_2439,c_2727]) ).
tcf(c_3433,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_3105,c_2727]) ).
tcf(c_3470,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1)) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_64]) ).
tcf(c_3471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtasdt0(sdtpldt0(X0,X1),X3)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_64]) ).
tcf(c_3472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(sdtasdt0(X0,X1),X3)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_64]) ).
tcf(c_3473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),X2),sdtasdt0(sdtsldt0(X1,X0),X3)) = sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(X2,X3)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_64]) ).
tcf(c_3474,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X1)) = sdtasdt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_64]) ).
tcf(c_3475,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,X0),sdtasdt0(xm,X1)) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_64]) ).
tcf(c_3476,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xn,X0),sdtasdt0(xn,X1)) = sdtasdt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_64]) ).
tcf(c_3477,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),X0),sdtasdt0(sdtsldt0(xn,xl),X1)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_64]) ).
tcf(c_3478,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),X0),sdtasdt0(sdtsldt0(xm,xl),X1)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_64]) ).
tcf(c_3479,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,xl),X0),sdtasdt0(sdtpldt0(sz00,xl),X1)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_64]) ).
tcf(c_3480,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,xm),X0),sdtasdt0(sdtpldt0(sz00,xm),X1)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_64]) ).
tcf(c_3481,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,xn),X0),sdtasdt0(sdtpldt0(sz00,xn),X1)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_64]) ).
tcf(c_3505,plain,
( ( xl = sz00 )
| ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sz00 != xn ) ),
inference(resolution,[status(thm)],[c_72,c_2577]) ).
tcf(c_3506,plain,
( ( xl = sz00 )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sz00 != xm ) ),
inference(resolution,[status(thm)],[c_72,c_2579]) ).
tcf(c_3507,plain,
( ( sz00 != xn )
| ( sdtsldt0(xn,xl) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_3505,c_101,c_111,c_115,c_2848]) ).
tcf(c_3508,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sz00 != xn ) ),
inference(renaming,[status(thm)],[c_3507]) ).
tcf(c_3519,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00)) = sdtasdt0(sdtpldt0(X0,X1),sz00) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_65]) ).
tcf(c_3520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtpldt0(X0,X1)),sdtasdt0(X3,sdtpldt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_65]) ).
tcf(c_3521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(X2,sdtasdt0(X0,X1)),sdtasdt0(X3,sdtasdt0(X0,X1))) = sdtasdt0(sdtpldt0(X2,X3),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_65]) ).
tcf(c_3522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(X2,sdtsldt0(X1,X0)),sdtasdt0(X3,sdtsldt0(X1,X0))) = sdtasdt0(sdtpldt0(X2,X3),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_65]) ).
tcf(c_3523,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xl),sdtasdt0(X1,xl)) = sdtasdt0(sdtpldt0(X0,X1),xl) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_65]) ).
tcf(c_3524,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xm),sdtasdt0(X1,xm)) = sdtasdt0(sdtpldt0(X0,X1),xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_65]) ).
tcf(c_3525,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X1,xn)) = sdtasdt0(sdtpldt0(X0,X1),xn) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_65]) ).
tcf(c_3526,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtsldt0(xn,xl)),sdtasdt0(X1,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_65]) ).
tcf(c_3527,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtsldt0(xm,xl)),sdtasdt0(X1,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_65]) ).
tcf(c_3528,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,xl)),sdtasdt0(X1,sdtpldt0(sz00,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_65]) ).
tcf(c_3529,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,xm)),sdtasdt0(X1,sdtpldt0(sz00,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_65]) ).
tcf(c_3530,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,xn)),sdtasdt0(X1,sdtpldt0(sz00,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_65]) ).
tcf(c_3541,plain,
( ( sz00 != xm )
| ( sdtsldt0(xm,xl) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_3506,c_101,c_113,c_115,c_2849]) ).
tcf(c_3542,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sz00 != xm ) ),
inference(renaming,[status(thm)],[c_3541]) ).
tcf(c_3604,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(xl,X0) != xn ) ),
inference(superposition,[status(thm)],[c_112,c_68]) ).
tcf(c_3605,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(xl,X0) != xm ) ),
inference(superposition,[status(thm)],[c_114,c_68]) ).
tcf(c_3607,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1904,c_68]) ).
tcf(c_3608,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1905,c_68]) ).
tcf(c_3609,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1906,c_68]) ).
tcf(c_3610,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(sdtsldt0(xn,xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1907,c_68]) ).
tcf(c_3611,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(sdtsldt0(xm,xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1908,c_68]) ).
tcf(c_3617,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_2157,c_68]) ).
tcf(c_3619,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(sdtpldt0(sz00,xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2320,c_68]) ).
tcf(c_3621,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(sdtpldt0(sz00,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_2453,c_68]) ).
tcf(c_3677,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(X0,sdtsldt0(xn,xl)) != xn ) ),
inference(superposition,[status(thm)],[c_112,c_69]) ).
tcf(c_3678,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(X0,sdtsldt0(xm,xl)) != xm ) ),
inference(superposition,[status(thm)],[c_114,c_69]) ).
tcf(c_3685,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sz00 ) ),
inference(superposition,[status(thm)],[c_1910,c_69]) ).
tcf(c_3686,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_1911,c_69]) ).
tcf(c_3687,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_1912,c_69]) ).
tcf(c_3688,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(X0,sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_1913,c_69]) ).
tcf(c_3689,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(X0,sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_1914,c_69]) ).
tcf(c_3690,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) != sdtasdt0(X0,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_2157,c_69]) ).
tcf(c_3691,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(X0,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2319,c_69]) ).
tcf(c_3693,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(X0,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2452,c_69]) ).
tcf(c_3695,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(X0,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3124,c_69]) ).
tcf(c_3772,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(sdtpldt0(sz00,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_3125,c_68]) ).
tcf(c_3779,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_2321,c_66]) ).
tcf(c_3780,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(X0,sdtpldt0(sz00,xl)) != sdtpldt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_2321,c_67]) ).
tcf(c_3823,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sdtpldt0(sz00,xl),X0) != sdtpldt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_2322,c_66]) ).
tcf(c_3824,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_2322,c_67]) ).
tcf(c_3830,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_2454,c_66]) ).
tcf(c_3831,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(X0,sdtpldt0(sz00,xm)) != sdtpldt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_2454,c_67]) ).
tcf(c_3833,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sz00)),
inference(superposition,[status(thm)],[c_49,c_2776]) ).
tcf(c_3834,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2776]) ).
tcf(c_3835,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2776]) ).
tcf(c_3836,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2776]) ).
tcf(c_3837,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xl) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),xl)),
inference(superposition,[status(thm)],[c_101,c_2776]) ).
tcf(c_3838,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xm) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),xm)),
inference(superposition,[status(thm)],[c_102,c_2776]) ).
tcf(c_3839,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xn) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),xn)),
inference(superposition,[status(thm)],[c_103,c_2776]) ).
tcf(c_3840,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_111,c_2776]) ).
tcf(c_3841,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_113,c_2776]) ).
tcf(c_3842,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_2306,c_2776]) ).
tcf(c_3843,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_2439,c_2776]) ).
tcf(c_3844,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_3105,c_2776]) ).
tcf(c_3860,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sz00)),
inference(superposition,[status(thm)],[c_49,c_2777]) ).
tcf(c_3861,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2777]) ).
tcf(c_3862,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(X0,X1)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2777]) ).
tcf(c_3863,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2777]) ).
tcf(c_3864,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),xl) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),xl)),
inference(superposition,[status(thm)],[c_101,c_2777]) ).
tcf(c_3865,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),xm) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),xm)),
inference(superposition,[status(thm)],[c_102,c_2777]) ).
tcf(c_3866,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),xn) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),xn)),
inference(superposition,[status(thm)],[c_103,c_2777]) ).
tcf(c_3867,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_111,c_2777]) ).
tcf(c_3868,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_113,c_2777]) ).
tcf(c_3869,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_2306,c_2777]) ).
tcf(c_3870,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_2439,c_2777]) ).
tcf(c_3871,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_3105,c_2777]) ).
tcf(c_3896,plain,
( ( sz00 != xn )
| ( sdtsldt0(xn,xl) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_2848,c_3508]) ).
tcf(c_3897,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sz00 != xn ) ),
inference(renaming,[status(thm)],[c_3896]) ).
tcf(c_3898,plain,
( ( sz00 != xm )
| ( sdtsldt0(xm,xl) = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_2849,c_3542]) ).
tcf(c_3899,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sz00 != xm ) ),
inference(renaming,[status(thm)],[c_3898]) ).
tcf(c_3902,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3179,c_71]) ).
tcf(c_3903,plain,
( ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3179,c_70]) ).
tcf(c_3904,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_3179,c_52]) ).
tcf(c_3905,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3179,c_66]) ).
tcf(c_3906,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtpldt0(X0,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_3179,c_67]) ).
tcf(c_3930,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3180,c_71]) ).
tcf(c_3931,plain,
( ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3180,c_70]) ).
tcf(c_3932,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_3180,c_52]) ).
tcf(c_3933,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3180,c_66]) ).
tcf(c_3934,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtpldt0(X0,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_3180,c_67]) ).
tcf(c_3959,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_2107,c_3227]) ).
tcf(c_3962,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3227,c_71]) ).
tcf(c_3963,plain,
( ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3227,c_70]) ).
tcf(c_3964,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_3227,c_52]) ).
tcf(c_3965,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3227,c_66]) ).
tcf(c_3966,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtpldt0(X0,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_3227,c_67]) ).
tcf(c_3969,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_2107,c_3228]) ).
tcf(c_3972,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3228,c_71]) ).
tcf(c_3973,plain,
( ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3228,c_70]) ).
tcf(c_3974,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_3228,c_52]) ).
tcf(c_3975,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3228,c_66]) ).
tcf(c_3976,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtpldt0(X0,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_3228,c_67]) ).
tcf(c_4004,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sdtpldt0(sz00,xm),X0) != sdtpldt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_2455,c_66]) ).
tcf(c_4005,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_2455,c_67]) ).
tcf(c_4022,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_3126,c_66]) ).
tcf(c_4023,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(X0,sdtpldt0(sz00,xn)) != sdtpldt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_3126,c_67]) ).
tcf(c_4031,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sdtpldt0(sz00,xn),X0) != sdtpldt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_3127,c_66]) ).
tcf(c_4032,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_3127,c_67]) ).
tcf(c_4034,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xl) = sdtpldt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1970]) ).
tcf(c_4035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xl) = sdtpldt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1970]) ).
tcf(c_4036,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),xl) = sdtpldt0(xl,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_1970]) ).
tcf(c_4038,plain,
sdtpldt0(xl,xm) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_102,c_1970]) ).
tcf(c_4039,plain,
sdtpldt0(xl,xn) = sdtpldt0(xn,xl),
inference(superposition,[status(thm)],[c_103,c_1970]) ).
tcf(c_4042,plain,
sdtpldt0(sdtpldt0(sz00,xl),xl) = sdtpldt0(xl,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_1970]) ).
tcf(c_4043,plain,
sdtpldt0(sdtpldt0(sz00,xm),xl) = sdtpldt0(xl,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_1970]) ).
tcf(c_4044,plain,
sdtpldt0(sdtpldt0(sz00,xn),xl) = sdtpldt0(xl,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_1970]) ).
tcf(c_4062,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_4038,c_71]) ).
tcf(c_4063,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_4038,c_70]) ).
tcf(c_4064,plain,
( aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_4038,c_52]) ).
tcf(c_4065,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4038,c_66]) ).
tcf(c_4066,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4038,c_67]) ).
tcf(c_4084,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_4039,c_71]) ).
tcf(c_4085,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_4039,c_70]) ).
tcf(c_4086,plain,
( aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_4039,c_52]) ).
tcf(c_4087,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4039,c_66]) ).
tcf(c_4088,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4039,c_67]) ).
tcf(c_4110,plain,
aNaturalNumber0(sdtpldt0(xl,xm)),
inference(global_subsumption_just,[status(thm)],[c_4064,c_102,c_101,c_4064]) ).
tcf(c_4112,plain,
sdtpldt0(sdtpldt0(xl,xm),xl) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_1970]) ).
tcf(c_4113,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_4110,c_2777]) ).
tcf(c_4114,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_4110,c_2776]) ).
tcf(c_4115,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xm)),sdtasdt0(X1,sdtpldt0(xl,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_65]) ).
tcf(c_4116,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xm),X0),sdtasdt0(sdtpldt0(xl,xm),X1)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_64]) ).
tcf(c_4117,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_4110,c_2727]) ).
tcf(c_4118,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_4110,c_2726]) ).
tcf(c_4119,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_4110,c_2654]) ).
tcf(c_4120,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_4110,c_2653]) ).
tcf(c_4121,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_4110,c_2626]) ).
tcf(c_4122,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_4110,c_2625]) ).
tcf(c_4123,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xl,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_2298]) ).
tcf(c_4124,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xl,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_2297]) ).
tcf(c_4125,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_2258]) ).
tcf(c_4126,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_2257]) ).
tcf(c_4127,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),sdtsldt0(xm,xl)) = sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4110,c_2224]) ).
tcf(c_4128,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),sdtsldt0(xn,xl)) = sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4110,c_2223]) ).
tcf(c_4129,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xm),X0),X1) = sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_59]) ).
tcf(c_4130,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xm),X0),X1) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_55]) ).
tcf(c_4131,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_161]) ).
tcf(c_4132,plain,
sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_2011]) ).
tcf(c_4133,plain,
sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_2010]) ).
tcf(c_4134,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_1974]) ).
tcf(c_4135,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_1973]) ).
tcf(c_4136,plain,
sdtpldt0(sdtpldt0(xl,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_1967]) ).
tcf(c_4137,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xm),X0) = sdtasdt0(X0,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_58]) ).
tcf(c_4138,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xm),X0) = sdtpldt0(X0,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_54]) ).
tcf(c_4139,plain,
sdtasdt0(sz00,sdtpldt0(xl,xm)) = sz00,
inference(superposition,[status(thm)],[c_4110,c_63]) ).
tcf(c_4140,plain,
sdtasdt0(sdtpldt0(xl,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_4110,c_62]) ).
tcf(c_4141,plain,
sdtpldt0(sz00,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_4110,c_57]) ).
tcf(c_4142,plain,
sdtpldt0(sdtpldt0(xl,xm),sz00) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_4110,c_56]) ).
tcf(c_4226,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(X0,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4139,c_69]) ).
tcf(c_4229,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3270,c_71]) ).
tcf(c_4230,plain,
( ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3270,c_70]) ).
tcf(c_4231,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_3270,c_52]) ).
tcf(c_4232,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3270,c_66]) ).
tcf(c_4233,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtpldt0(X0,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_3270,c_67]) ).
tcf(c_4256,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3271,c_71]) ).
tcf(c_4257,plain,
( ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3271,c_70]) ).
tcf(c_4258,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_3271,c_52]) ).
tcf(c_4259,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3271,c_66]) ).
tcf(c_4260,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtpldt0(X0,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_3271,c_67]) ).
tcf(c_4283,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3341,c_71]) ).
tcf(c_4284,plain,
( ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3341,c_70]) ).
tcf(c_4285,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_3341,c_52]) ).
tcf(c_4286,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3341,c_66]) ).
tcf(c_4287,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtpldt0(X0,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_3341,c_67]) ).
tcf(c_4341,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3342,c_71]) ).
tcf(c_4342,plain,
( ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3342,c_70]) ).
tcf(c_4343,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_3342,c_52]) ).
tcf(c_4344,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3342,c_66]) ).
tcf(c_4345,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtpldt0(X0,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_3342,c_67]) ).
tcf(c_4350,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3384,c_72]) ).
tcf(c_4351,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_3384,c_53]) ).
tcf(c_4352,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3384,c_68]) ).
tcf(c_4353,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtasdt0(X0,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_3384,c_69]) ).
tcf(c_4367,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3385,c_72]) ).
tcf(c_4368,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_3385,c_53]) ).
tcf(c_4369,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3385,c_68]) ).
tcf(c_4370,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtasdt0(X0,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_3385,c_69]) ).
tcf(c_4401,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_2157,c_3429]) ).
tcf(c_4404,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3429,c_72]) ).
tcf(c_4405,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_3429,c_53]) ).
tcf(c_4406,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3429,c_68]) ).
tcf(c_4407,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtasdt0(X0,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_3429,c_69]) ).
tcf(c_4474,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_2157,c_3430]) ).
tcf(c_4477,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3430,c_72]) ).
tcf(c_4478,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_3430,c_53]) ).
tcf(c_4479,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3430,c_68]) ).
tcf(c_4480,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtasdt0(X0,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_3430,c_69]) ).
tcf(c_4517,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4140,c_68]) ).
tcf(c_4519,plain,
aNaturalNumber0(sdtpldt0(xl,xn)),
inference(global_subsumption_just,[status(thm)],[c_4086,c_103,c_101,c_4086]) ).
tcf(c_4521,plain,
sdtpldt0(sdtpldt0(xl,xn),xl) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_1970]) ).
tcf(c_4522,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_4519,c_2777]) ).
tcf(c_4523,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_4519,c_2776]) ).
tcf(c_4524,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xn)),sdtasdt0(X1,sdtpldt0(xl,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_65]) ).
tcf(c_4525,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtasdt0(sdtpldt0(xl,xn),X1)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_64]) ).
tcf(c_4526,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_4519,c_2727]) ).
tcf(c_4527,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_4519,c_2726]) ).
tcf(c_4528,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_4519,c_2654]) ).
tcf(c_4529,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_4519,c_2653]) ).
tcf(c_4530,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_4519,c_2626]) ).
tcf(c_4531,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_4519,c_2625]) ).
tcf(c_4532,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_2298]) ).
tcf(c_4533,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_2297]) ).
tcf(c_4534,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_2258]) ).
tcf(c_4535,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_2257]) ).
tcf(c_4536,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),sdtsldt0(xm,xl)) = sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4519,c_2224]) ).
tcf(c_4537,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),sdtsldt0(xn,xl)) = sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4519,c_2223]) ).
tcf(c_4538,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xn),X0),X1) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_59]) ).
tcf(c_4539,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xn),X0),X1) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_55]) ).
tcf(c_4540,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_161]) ).
tcf(c_4541,plain,
sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_2011]) ).
tcf(c_4542,plain,
sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_2010]) ).
tcf(c_4543,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_1974]) ).
tcf(c_4544,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_1973]) ).
tcf(c_4545,plain,
sdtpldt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_1967]) ).
tcf(c_4546,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xn),X0) = sdtasdt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_58]) ).
tcf(c_4547,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xn),X0) = sdtpldt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_54]) ).
tcf(c_4548,plain,
sdtasdt0(sz00,sdtpldt0(xl,xn)) = sz00,
inference(superposition,[status(thm)],[c_4519,c_63]) ).
tcf(c_4549,plain,
sdtasdt0(sdtpldt0(xl,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_4519,c_62]) ).
tcf(c_4550,plain,
sdtpldt0(sz00,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_4519,c_57]) ).
tcf(c_4551,plain,
sdtpldt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_4519,c_56]) ).
tcf(c_4623,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(X0,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4548,c_69]) ).
tcf(c_4628,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_4549,c_68]) ).
tcf(c_4635,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4141,c_66]) ).
tcf(c_4636,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(X0,sdtpldt0(xl,xm)) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4141,c_67]) ).
tcf(c_4643,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4142,c_66]) ).
tcf(c_4644,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4142,c_67]) ).
tcf(c_4662,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4550,c_66]) ).
tcf(c_4663,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(X0,sdtpldt0(xl,xn)) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4550,c_67]) ).
tcf(c_4670,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4551,c_66]) ).
tcf(c_4671,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4551,c_67]) ).
tcf(c_4686,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3840,c_72]) ).
tcf(c_4687,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_3840,c_53]) ).
tcf(c_4688,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3840,c_68]) ).
tcf(c_4689,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtasdt0(X0,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_3840,c_69]) ).
tcf(c_4720,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3841,c_72]) ).
tcf(c_4721,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_3841,c_53]) ).
tcf(c_4722,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3841,c_68]) ).
tcf(c_4723,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtasdt0(X0,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_3841,c_69]) ).
tcf(c_4752,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3867,c_72]) ).
tcf(c_4753,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_3867,c_53]) ).
tcf(c_4754,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3867,c_68]) ).
tcf(c_4755,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtasdt0(X0,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_3867,c_69]) ).
tcf(c_4760,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_3868,c_72]) ).
tcf(c_4761,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_3868,c_53]) ).
tcf(c_4762,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_3868,c_68]) ).
tcf(c_4763,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtasdt0(X0,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_3868,c_69]) ).
tcf(c_4766,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sz00),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_3477]) ).
tcf(c_4767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)),sdtasdt0(sdtsldt0(xn,xl),X2)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_3477]) ).
tcf(c_4768,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)),sdtasdt0(sdtsldt0(xn,xl),X2)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_3477]) ).
tcf(c_4769,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)),sdtasdt0(sdtsldt0(xn,xl),X2)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_3477]) ).
tcf(c_4770,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),xl),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_3477]) ).
tcf(c_4771,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),xm),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_3477]) ).
tcf(c_4772,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),xn),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_3477]) ).
tcf(c_4773,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_3477]) ).
tcf(c_4774,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_3477]) ).
tcf(c_4775,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_3477]) ).
tcf(c_4776,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_3477]) ).
tcf(c_4777,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_3477]) ).
tcf(c_4778,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_3477]) ).
tcf(c_4779,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_3477]) ).
tcf(c_4825,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sz00),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_3478]) ).
tcf(c_4826,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)),sdtasdt0(sdtsldt0(xm,xl),X2)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_3478]) ).
tcf(c_4827,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)),sdtasdt0(sdtsldt0(xm,xl),X2)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(X0,X1),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_3478]) ).
tcf(c_4828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)),sdtasdt0(sdtsldt0(xm,xl),X2)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(X1,X0),X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_3478]) ).
tcf(c_4829,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),xl),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_3478]) ).
tcf(c_4830,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),xm),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_3478]) ).
tcf(c_4831,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),xn),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_3478]) ).
tcf(c_4832,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_3478]) ).
tcf(c_4833,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_3478]) ).
tcf(c_4834,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_3478]) ).
tcf(c_4835,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_3478]) ).
tcf(c_4836,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_3478]) ).
tcf(c_4837,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_3478]) ).
tcf(c_4838,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_3478]) ).
tcf(c_4918,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sz00,X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_3526]) ).
tcf(c_4919,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),sdtsldt0(xn,xl)),sdtasdt0(X2,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_3526]) ).
tcf(c_4920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(xn,xl)),sdtasdt0(X2,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_3526]) ).
tcf(c_4921,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),sdtsldt0(xn,xl)),sdtasdt0(X2,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(X1,X0),X2),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_3526]) ).
tcf(c_4922,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(xl,X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_3526]) ).
tcf(c_4923,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(xm,X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_3526]) ).
tcf(c_4924,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(xn,X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_3526]) ).
tcf(c_4925,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_3526]) ).
tcf(c_4926,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_3526]) ).
tcf(c_4927,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,xl),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_3526]) ).
tcf(c_4928,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,xm),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_3526]) ).
tcf(c_4929,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,xn),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_3526]) ).
tcf(c_4930,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_3526]) ).
tcf(c_4931,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_3526]) ).
tcf(c_5036,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sz00,X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_3527]) ).
tcf(c_5037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),sdtsldt0(xm,xl)),sdtasdt0(X2,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_3527]) ).
tcf(c_5038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(xm,xl)),sdtasdt0(X2,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_3527]) ).
tcf(c_5039,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),sdtsldt0(xm,xl)),sdtasdt0(X2,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(X1,X0),X2),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_3527]) ).
tcf(c_5040,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(xl,X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_3527]) ).
tcf(c_5041,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(xm,X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_3527]) ).
tcf(c_5042,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(xn,X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_3527]) ).
tcf(c_5043,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_3527]) ).
tcf(c_5044,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_3527]) ).
tcf(c_5045,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,xl),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_3527]) ).
tcf(c_5046,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,xm),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_3527]) ).
tcf(c_5047,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,xn),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_3527]) ).
tcf(c_5048,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_3527]) ).
tcf(c_5049,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_3527]) ).
tcf(c_5120,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1971]) ).
tcf(c_5121,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1971]) ).
tcf(c_5122,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_98,c_1971]) ).
tcf(c_5125,plain,
sdtpldt0(xm,xn) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_103,c_1971]) ).
tcf(c_5128,plain,
sdtpldt0(sdtpldt0(sz00,xl),xm) = sdtpldt0(xm,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_1971]) ).
tcf(c_5129,plain,
sdtpldt0(sdtpldt0(sz00,xm),xm) = sdtpldt0(xm,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_1971]) ).
tcf(c_5130,plain,
sdtpldt0(sdtpldt0(sz00,xn),xm) = sdtpldt0(xm,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_1971]) ).
tcf(c_5131,plain,
sdtpldt0(sdtpldt0(xl,xm),xm) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_1971]) ).
tcf(c_5132,plain,
sdtpldt0(sdtpldt0(xl,xn),xm) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_1971]) ).
tcf(c_5147,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_5125,c_71]) ).
tcf(c_5148,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_5125,c_70]) ).
tcf(c_5149,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_5125,c_52]) ).
tcf(c_5150,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_5125,c_66]) ).
tcf(c_5151,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_5125,c_67]) ).
tcf(c_5163,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(global_subsumption_just,[status(thm)],[c_5149,c_103,c_102,c_2085]) ).
tcf(c_5165,plain,
sdtpldt0(sdtpldt0(xm,xn),xm) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_1971]) ).
tcf(c_5166,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xm,xn),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_3527]) ).
tcf(c_5167,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xm,xn),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_3526]) ).
tcf(c_5168,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_3478]) ).
tcf(c_5169,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_3477]) ).
tcf(c_5170,plain,
sdtpldt0(sdtpldt0(xm,xn),xl) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_1970]) ).
tcf(c_5171,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_5163,c_2777]) ).
tcf(c_5172,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_5163,c_2776]) ).
tcf(c_5173,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xn)),sdtasdt0(X1,sdtpldt0(xm,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_65]) ).
tcf(c_5174,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xn),X0),sdtasdt0(sdtpldt0(xm,xn),X1)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_64]) ).
tcf(c_5175,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_5163,c_2727]) ).
tcf(c_5176,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_5163,c_2726]) ).
tcf(c_5177,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_5163,c_2654]) ).
tcf(c_5178,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_5163,c_2653]) ).
tcf(c_5179,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_5163,c_2626]) ).
tcf(c_5180,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_5163,c_2625]) ).
tcf(c_5181,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_2298]) ).
tcf(c_5182,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_2297]) ).
tcf(c_5183,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_2258]) ).
tcf(c_5184,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_2257]) ).
tcf(c_5185,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),sdtsldt0(xm,xl)) = sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_5163,c_2224]) ).
tcf(c_5186,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),sdtsldt0(xn,xl)) = sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_5163,c_2223]) ).
tcf(c_5187,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xn),X0),X1) = sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_59]) ).
tcf(c_5188,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xn),X0),X1) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_55]) ).
tcf(c_5189,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xn),X0),sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_161]) ).
tcf(c_5190,plain,
sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_2011]) ).
tcf(c_5191,plain,
sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_2010]) ).
tcf(c_5192,plain,
sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_1974]) ).
tcf(c_5193,plain,
sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_1973]) ).
tcf(c_5194,plain,
sdtpldt0(sdtpldt0(xm,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_1967]) ).
tcf(c_5195,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xn),X0) = sdtasdt0(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_58]) ).
tcf(c_5196,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xn),X0) = sdtpldt0(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_54]) ).
tcf(c_5197,plain,
sdtasdt0(sz00,sdtpldt0(xm,xn)) = sz00,
inference(superposition,[status(thm)],[c_5163,c_63]) ).
tcf(c_5198,plain,
sdtasdt0(sdtpldt0(xm,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_5163,c_62]) ).
tcf(c_5199,plain,
sdtpldt0(sz00,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_5163,c_57]) ).
tcf(c_5200,plain,
sdtpldt0(sdtpldt0(xm,xn),sz00) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_5163,c_56]) ).
tcf(c_5324,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(X0,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5197,c_69]) ).
tcf(c_5329,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(sdtpldt0(xm,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5198,c_68]) ).
tcf(c_5336,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_5199,c_66]) ).
tcf(c_5337,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(X0,sdtpldt0(xm,xn)) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_5199,c_67]) ).
tcf(c_5344,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),X0) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_5200,c_66]) ).
tcf(c_5345,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_5200,c_67]) ).
tcf(c_5347,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xn) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1972]) ).
tcf(c_5348,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xn) = sdtpldt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1972]) ).
tcf(c_5349,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_98,c_1972]) ).
tcf(c_5355,plain,
sdtpldt0(sdtpldt0(xm,xn),xn) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_1972]) ).
tcf(c_5356,plain,
sdtpldt0(sdtpldt0(sz00,xl),xn) = sdtpldt0(xn,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_1972]) ).
tcf(c_5357,plain,
sdtpldt0(sdtpldt0(sz00,xm),xn) = sdtpldt0(xn,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_1972]) ).
tcf(c_5358,plain,
sdtpldt0(sdtpldt0(sz00,xn),xn) = sdtpldt0(xn,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_1972]) ).
tcf(c_5359,plain,
sdtpldt0(sdtpldt0(xl,xm),xn) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_1972]) ).
tcf(c_5360,plain,
sdtpldt0(sdtpldt0(xl,xn),xn) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_1972]) ).
tcf(c_5363,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sz00)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sz00)),
inference(superposition,[status(thm)],[c_49,c_4773]) ).
tcf(c_5364,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4773]) ).
tcf(c_5365,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4773]) ).
tcf(c_5366,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_4773]) ).
tcf(c_5367,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),xl)),
inference(superposition,[status(thm)],[c_101,c_4773]) ).
tcf(c_5368,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),xm)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),xm)),
inference(superposition,[status(thm)],[c_102,c_4773]) ).
tcf(c_5369,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),xn)),
inference(superposition,[status(thm)],[c_103,c_4773]) ).
tcf(c_5370,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_111,c_4773]) ).
tcf(c_5371,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_113,c_4773]) ).
tcf(c_5372,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_5163,c_4773]) ).
tcf(c_5373,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_2306,c_4773]) ).
tcf(c_5374,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_2439,c_4773]) ).
tcf(c_5375,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_3105,c_4773]) ).
tcf(c_5376,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_4110,c_4773]) ).
tcf(c_5377,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_4519,c_4773]) ).
tcf(c_5477,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sz00)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sz00)),
inference(superposition,[status(thm)],[c_49,c_4774]) ).
tcf(c_5478,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4774]) ).
tcf(c_5479,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4774]) ).
tcf(c_5480,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_4774]) ).
tcf(c_5481,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),xl)),
inference(superposition,[status(thm)],[c_101,c_4774]) ).
tcf(c_5482,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),xm)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),xm)),
inference(superposition,[status(thm)],[c_102,c_4774]) ).
tcf(c_5483,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),xn)),
inference(superposition,[status(thm)],[c_103,c_4774]) ).
tcf(c_5484,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_111,c_4774]) ).
tcf(c_5485,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_113,c_4774]) ).
tcf(c_5486,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_5163,c_4774]) ).
tcf(c_5487,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_2306,c_4774]) ).
tcf(c_5488,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_2439,c_4774]) ).
tcf(c_5489,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_3105,c_4774]) ).
tcf(c_5490,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_4110,c_4774]) ).
tcf(c_5491,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_4519,c_4774]) ).
tcf(c_5532,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sz00)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sz00)),
inference(superposition,[status(thm)],[c_49,c_4832]) ).
tcf(c_5533,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4832]) ).
tcf(c_5534,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4832]) ).
tcf(c_5535,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_4832]) ).
tcf(c_5536,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),xl)),
inference(superposition,[status(thm)],[c_101,c_4832]) ).
tcf(c_5537,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),xm)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),xm)),
inference(superposition,[status(thm)],[c_102,c_4832]) ).
tcf(c_5538,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),xn)),
inference(superposition,[status(thm)],[c_103,c_4832]) ).
tcf(c_5539,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_111,c_4832]) ).
tcf(c_5540,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_113,c_4832]) ).
tcf(c_5541,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_5163,c_4832]) ).
tcf(c_5542,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_2306,c_4832]) ).
tcf(c_5543,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_2439,c_4832]) ).
tcf(c_5544,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_3105,c_4832]) ).
tcf(c_5545,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_4110,c_4832]) ).
tcf(c_5546,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_4519,c_4832]) ).
tcf(c_5549,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X1,sdtpldt0(X0,xl)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_5550,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(instantiation,[status(thm)],[c_5549]) ).
tcf(c_5555,plain,
! [X0: $i] :
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(X0,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(X0,xl)) ),
inference(instantiation,[status(thm)],[c_2674]) ).
tcf(c_5557,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(instantiation,[status(thm)],[c_5555]) ).
tcf(c_5613,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sz00)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sz00)),
inference(superposition,[status(thm)],[c_49,c_4833]) ).
tcf(c_5614,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4833]) ).
tcf(c_5615,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4833]) ).
tcf(c_5616,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_4833]) ).
tcf(c_5617,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),xl)),
inference(superposition,[status(thm)],[c_101,c_4833]) ).
tcf(c_5618,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),xm)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),xm)),
inference(superposition,[status(thm)],[c_102,c_4833]) ).
tcf(c_5619,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),xn)),
inference(superposition,[status(thm)],[c_103,c_4833]) ).
tcf(c_5620,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_111,c_4833]) ).
tcf(c_5621,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_113,c_4833]) ).
tcf(c_5622,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_5163,c_4833]) ).
tcf(c_5623,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_2306,c_4833]) ).
tcf(c_5624,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_2439,c_4833]) ).
tcf(c_5625,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_3105,c_4833]) ).
tcf(c_5626,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_4110,c_4833]) ).
tcf(c_5627,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_4519,c_4833]) ).
tcf(c_5684,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sz00),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_49,c_4925]) ).
tcf(c_5685,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(X0,X1),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4925]) ).
tcf(c_5686,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4925]) ).
tcf(c_5687,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(X1,X0),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_4925]) ).
tcf(c_5688,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),xl),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_101,c_4925]) ).
tcf(c_5689,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),xm),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_102,c_4925]) ).
tcf(c_5690,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xn,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),xn),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_103,c_4925]) ).
tcf(c_5691,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_111,c_4925]) ).
tcf(c_5692,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_113,c_4925]) ).
tcf(c_5693,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_5163,c_4925]) ).
tcf(c_5694,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_2306,c_4925]) ).
tcf(c_5695,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_2439,c_4925]) ).
tcf(c_5696,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_3105,c_4925]) ).
tcf(c_5697,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_4110,c_4925]) ).
tcf(c_5698,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_4519,c_4925]) ).
tcf(c_5753,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sz00),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_49,c_4926]) ).
tcf(c_5754,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(X0,X1),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4926]) ).
tcf(c_5755,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4926]) ).
tcf(c_5756,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(X1,X0),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_4926]) ).
tcf(c_5757,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),xl),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_101,c_4926]) ).
tcf(c_5758,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),xm),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_102,c_4926]) ).
tcf(c_5759,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xn,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),xn),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_103,c_4926]) ).
tcf(c_5760,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_111,c_4926]) ).
tcf(c_5761,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_113,c_4926]) ).
tcf(c_5762,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_5163,c_4926]) ).
tcf(c_5763,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_2306,c_4926]) ).
tcf(c_5764,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_2439,c_4926]) ).
tcf(c_5765,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_3105,c_4926]) ).
tcf(c_5766,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_4110,c_4926]) ).
tcf(c_5767,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_4519,c_4926]) ).
tcf(c_5800,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sz00),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_49,c_5043]) ).
tcf(c_5801,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(X0,X1),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_5043]) ).
tcf(c_5802,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_5043]) ).
tcf(c_5803,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(X1,X0),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_5043]) ).
tcf(c_5804,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),xl),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_101,c_5043]) ).
tcf(c_5805,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),xm),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_102,c_5043]) ).
tcf(c_5806,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),xn),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_103,c_5043]) ).
tcf(c_5807,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_111,c_5043]) ).
tcf(c_5808,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_113,c_5043]) ).
tcf(c_5809,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_5163,c_5043]) ).
tcf(c_5810,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_2306,c_5043]) ).
tcf(c_5811,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_2439,c_5043]) ).
tcf(c_5812,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_3105,c_5043]) ).
tcf(c_5813,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_4110,c_5043]) ).
tcf(c_5814,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_4519,c_5043]) ).
tcf(c_5837,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sz00),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_49,c_5044]) ).
tcf(c_5838,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(X0,X1),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_5044]) ).
tcf(c_5839,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_5044]) ).
tcf(c_5840,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(X1,X0),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_5044]) ).
tcf(c_5841,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),xl),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_101,c_5044]) ).
tcf(c_5842,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),xm),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_102,c_5044]) ).
tcf(c_5843,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),xn),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_103,c_5044]) ).
tcf(c_5844,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_111,c_5044]) ).
tcf(c_5845,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_113,c_5044]) ).
tcf(c_5846,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_5163,c_5044]) ).
tcf(c_5847,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_2306,c_5044]) ).
tcf(c_5848,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_2439,c_5044]) ).
tcf(c_5849,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_3105,c_5044]) ).
tcf(c_5850,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_4110,c_5044]) ).
tcf(c_5851,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_4519,c_5044]) ).
tcf(c_5923,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2004]) ).
tcf(c_5924,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2004]) ).
tcf(c_5925,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sz00) = sdtasdt0(sz00,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2004]) ).
tcf(c_5926,plain,
sdtasdt0(sz00,xl) = sdtasdt0(xl,sz00),
inference(superposition,[status(thm)],[c_101,c_2004]) ).
tcf(c_5927,plain,
sdtasdt0(sz00,xm) = sdtasdt0(xm,sz00),
inference(superposition,[status(thm)],[c_102,c_2004]) ).
tcf(c_5928,plain,
sdtasdt0(sz00,xn) = sdtasdt0(xn,sz00),
inference(superposition,[status(thm)],[c_103,c_2004]) ).
tcf(c_5931,plain,
sdtasdt0(sdtpldt0(xm,xn),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_2004]) ).
tcf(c_5932,plain,
sdtasdt0(sdtpldt0(sz00,xl),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_2004]) ).
tcf(c_5933,plain,
sdtasdt0(sdtpldt0(sz00,xm),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_2004]) ).
tcf(c_5934,plain,
sdtasdt0(sdtpldt0(sz00,xn),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_2004]) ).
tcf(c_5935,plain,
sdtasdt0(sdtpldt0(xl,xm),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_2004]) ).
tcf(c_5936,plain,
sdtasdt0(sdtpldt0(xl,xn),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_2004]) ).
tcf(c_5941,plain,
( aNaturalNumber0(sdtasdt0(sz00,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5926,c_53]) ).
tcf(c_5942,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sdtasdt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_5926,c_68]) ).
tcf(c_5961,plain,
( aNaturalNumber0(sdtasdt0(sz00,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5927,c_53]) ).
tcf(c_5962,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_5927,c_68]) ).
tcf(c_5969,plain,
( aNaturalNumber0(sdtasdt0(sz00,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_5928,c_53]) ).
tcf(c_5970,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_5928,c_68]) ).
tcf(c_6040,plain,
aNaturalNumber0(sdtasdt0(sz00,xl)),
inference(global_subsumption_just,[status(thm)],[c_5941,c_101,c_49,c_5941]) ).
tcf(c_6043,plain,
sdtasdt0(sdtasdt0(sz00,xl),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_2004]) ).
tcf(c_6044,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_6040,c_5044]) ).
tcf(c_6045,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_6040,c_5043]) ).
tcf(c_6046,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_6040,c_4926]) ).
tcf(c_6047,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_6040,c_4925]) ).
tcf(c_6048,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_6040,c_4833]) ).
tcf(c_6049,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_6040,c_4832]) ).
tcf(c_6050,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_6040,c_4774]) ).
tcf(c_6051,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_6040,c_4773]) ).
tcf(c_6052,plain,
sdtpldt0(sdtasdt0(sz00,xl),xn) = sdtpldt0(xn,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_1972]) ).
tcf(c_6053,plain,
sdtpldt0(sdtasdt0(sz00,xl),xm) = sdtpldt0(xm,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_1971]) ).
tcf(c_6054,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(sz00,xl),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_3527]) ).
tcf(c_6055,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(sz00,xl),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_3526]) ).
tcf(c_6056,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(sz00,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_3478]) ).
tcf(c_6057,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(sz00,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_3477]) ).
tcf(c_6058,plain,
sdtpldt0(sdtasdt0(sz00,xl),xl) = sdtpldt0(xl,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_1970]) ).
tcf(c_6059,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_6040,c_2777]) ).
tcf(c_6060,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_6040,c_2776]) ).
tcf(c_6061,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,xl)),sdtasdt0(X1,sdtasdt0(sz00,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_65]) ).
tcf(c_6062,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,xl),X0),sdtasdt0(sdtasdt0(sz00,xl),X1)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_64]) ).
tcf(c_6063,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_6040,c_2727]) ).
tcf(c_6064,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_6040,c_2726]) ).
tcf(c_6065,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_6040,c_2654]) ).
tcf(c_6066,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_6040,c_2653]) ).
tcf(c_6067,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_6040,c_2626]) ).
tcf(c_6068,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_6040,c_2625]) ).
tcf(c_6069,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(sz00,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_2298]) ).
tcf(c_6070,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(sz00,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_2297]) ).
tcf(c_6071,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(sz00,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_2258]) ).
tcf(c_6072,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(sz00,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_2257]) ).
tcf(c_6073,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_6040,c_2224]) ).
tcf(c_6074,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_6040,c_2223]) ).
tcf(c_6075,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,xl),X0),X1) = sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_59]) ).
tcf(c_6076,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,xl),X0),X1) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_55]) ).
tcf(c_6078,plain,
sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_2011]) ).
tcf(c_6079,plain,
sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_2010]) ).
tcf(c_6080,plain,
sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_1974]) ).
tcf(c_6081,plain,
sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_1973]) ).
tcf(c_6082,plain,
sdtpldt0(sdtasdt0(sz00,xl),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_1967]) ).
tcf(c_6083,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,xl),X0) = sdtasdt0(X0,sdtasdt0(sz00,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_58]) ).
tcf(c_6084,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,xl),X0) = sdtpldt0(X0,sdtasdt0(sz00,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_54]) ).
tcf(c_6085,plain,
sdtasdt0(sz00,sdtasdt0(sz00,xl)) = sz00,
inference(superposition,[status(thm)],[c_6040,c_63]) ).
tcf(c_6086,plain,
sdtasdt0(sdtasdt0(sz00,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_6040,c_62]) ).
tcf(c_6087,plain,
sdtpldt0(sz00,sdtasdt0(sz00,xl)) = sdtasdt0(sz00,xl),
inference(superposition,[status(thm)],[c_6040,c_57]) ).
tcf(c_6088,plain,
sdtpldt0(sdtasdt0(sz00,xl),sz00) = sdtasdt0(sz00,xl),
inference(superposition,[status(thm)],[c_6040,c_56]) ).
tcf(c_6231,plain,
aNaturalNumber0(sdtasdt0(sz00,xm)),
inference(global_subsumption_just,[status(thm)],[c_5961,c_102,c_49,c_5961]) ).
tcf(c_6234,plain,
sdtasdt0(sdtasdt0(sz00,xm),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_2004]) ).
tcf(c_6235,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_6231,c_5044]) ).
tcf(c_6236,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_6231,c_5043]) ).
tcf(c_6237,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_6231,c_4926]) ).
tcf(c_6238,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_6231,c_4925]) ).
tcf(c_6239,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_6231,c_4833]) ).
tcf(c_6240,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_6231,c_4832]) ).
tcf(c_6241,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_6231,c_4774]) ).
tcf(c_6242,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_6231,c_4773]) ).
tcf(c_6243,plain,
sdtpldt0(sdtasdt0(sz00,xm),xn) = sdtpldt0(xn,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_1972]) ).
tcf(c_6244,plain,
sdtpldt0(sdtasdt0(sz00,xm),xm) = sdtpldt0(xm,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_1971]) ).
tcf(c_6245,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(sz00,xm),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_3527]) ).
tcf(c_6246,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(sz00,xm),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_3526]) ).
tcf(c_6247,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(sz00,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_3478]) ).
tcf(c_6248,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(sz00,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_3477]) ).
tcf(c_6249,plain,
sdtpldt0(sdtasdt0(sz00,xm),xl) = sdtpldt0(xl,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_1970]) ).
tcf(c_6250,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_6231,c_2777]) ).
tcf(c_6251,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_6231,c_2776]) ).
tcf(c_6252,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,xm)),sdtasdt0(X1,sdtasdt0(sz00,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_65]) ).
tcf(c_6253,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,xm),X0),sdtasdt0(sdtasdt0(sz00,xm),X1)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_64]) ).
tcf(c_6254,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_6231,c_2727]) ).
tcf(c_6255,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_6231,c_2726]) ).
tcf(c_6256,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_6231,c_2654]) ).
tcf(c_6257,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_6231,c_2653]) ).
tcf(c_6258,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_6231,c_2626]) ).
tcf(c_6259,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_6231,c_2625]) ).
tcf(c_6260,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(sz00,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_2298]) ).
tcf(c_6261,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(sz00,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_2297]) ).
tcf(c_6262,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(sz00,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_2258]) ).
tcf(c_6263,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(sz00,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_2257]) ).
tcf(c_6264,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),sdtsldt0(xm,xl)) = sdtasdt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_6231,c_2224]) ).
tcf(c_6265,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),sdtsldt0(xn,xl)) = sdtasdt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_6231,c_2223]) ).
tcf(c_6266,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,xm),X0),X1) = sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_59]) ).
tcf(c_6267,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,xm),X0),X1) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_55]) ).
tcf(c_6269,plain,
sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_2011]) ).
tcf(c_6270,plain,
sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_2010]) ).
tcf(c_6271,plain,
sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_1974]) ).
tcf(c_6272,plain,
sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_1973]) ).
tcf(c_6273,plain,
sdtpldt0(sdtasdt0(sz00,xm),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_1967]) ).
tcf(c_6274,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,xm),X0) = sdtasdt0(X0,sdtasdt0(sz00,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_58]) ).
tcf(c_6275,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,xm),X0) = sdtpldt0(X0,sdtasdt0(sz00,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_54]) ).
tcf(c_6276,plain,
sdtasdt0(sz00,sdtasdt0(sz00,xm)) = sz00,
inference(superposition,[status(thm)],[c_6231,c_63]) ).
tcf(c_6277,plain,
sdtasdt0(sdtasdt0(sz00,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_6231,c_62]) ).
tcf(c_6278,plain,
sdtpldt0(sz00,sdtasdt0(sz00,xm)) = sdtasdt0(sz00,xm),
inference(superposition,[status(thm)],[c_6231,c_57]) ).
tcf(c_6279,plain,
sdtpldt0(sdtasdt0(sz00,xm),sz00) = sdtasdt0(sz00,xm),
inference(superposition,[status(thm)],[c_6231,c_56]) ).
tcf(c_6355,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xn )
| ( sdtsldt0(xn,xl) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_3604,c_101,c_111,c_115,c_3604]) ).
tcf(c_6356,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xn ) ),
inference(renaming,[status(thm)],[c_6355]) ).
tcf(c_6359,plain,
( ( sdtsldt0(xm,xl) = sdtsldt0(xn,xl) )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( xm != xn ) ),
inference(superposition,[status(thm)],[c_114,c_6356]) ).
tcf(c_6360,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ( sdtasdt0(sz00,xl) != xn ) ),
inference(superposition,[status(thm)],[c_5926,c_6356]) ).
tcf(c_6361,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_1904,c_6356]) ).
tcf(c_6374,plain,
( ( sdtsldt0(xm,xl) = sdtsldt0(xn,xl) )
| ( xm != xn ) ),
inference(global_subsumption_just,[status(thm)],[c_6359,c_113,c_6359]) ).
tcf(c_6376,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xm )
| ( sdtsldt0(xm,xl) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_3605,c_101,c_113,c_115,c_3605]) ).
tcf(c_6377,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != xm ) ),
inference(renaming,[status(thm)],[c_6376]) ).
tcf(c_6379,plain,
( ( sdtsldt0(xm,xl) = sdtsldt0(xn,xl) )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( xm != xn ) ),
inference(superposition,[status(thm)],[c_112,c_6377]) ).
tcf(c_6381,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ( sdtasdt0(sz00,xl) != xm ) ),
inference(superposition,[status(thm)],[c_5926,c_6377]) ).
tcf(c_6382,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ( sz00 != xm ) ),
inference(superposition,[status(thm)],[c_1904,c_6377]) ).
tcf(c_6387,plain,
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5370,c_71]) ).
tcf(c_6389,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_5370,c_52]) ).
tcf(c_6390,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5370,c_66]) ).
tcf(c_6391,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) ) ),
inference(superposition,[status(thm)],[c_5370,c_67]) ).
tcf(c_6444,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_2157,c_5371]) ).
tcf(c_6447,plain,
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5371,c_71]) ).
tcf(c_6448,plain,
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5371,c_70]) ).
tcf(c_6449,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_5371,c_52]) ).
tcf(c_6450,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5371,c_66]) ).
tcf(c_6451,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) ) ),
inference(superposition,[status(thm)],[c_5371,c_67]) ).
tcf(c_6475,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_2157,c_5484]) ).
tcf(c_6478,plain,
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5484,c_71]) ).
tcf(c_6479,plain,
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5484,c_70]) ).
tcf(c_6480,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_5484,c_52]) ).
tcf(c_6481,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5484,c_66]) ).
tcf(c_6482,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) ) ),
inference(superposition,[status(thm)],[c_5484,c_67]) ).
tcf(c_6485,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_2157,c_5485]) ).
tcf(c_6489,plain,
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5485,c_71]) ).
tcf(c_6491,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_5485,c_52]) ).
tcf(c_6492,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5485,c_66]) ).
tcf(c_6493,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) ) ),
inference(superposition,[status(thm)],[c_5485,c_67]) ).
tcf(c_6510,plain,
aNaturalNumber0(sdtasdt0(sz00,xn)),
inference(global_subsumption_just,[status(thm)],[c_5969,c_103,c_49,c_5969]) ).
tcf(c_6513,plain,
sdtasdt0(sdtasdt0(sz00,xn),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_2004]) ).
tcf(c_6514,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_6510,c_5044]) ).
tcf(c_6515,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_6510,c_5043]) ).
tcf(c_6516,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_6510,c_4926]) ).
tcf(c_6517,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_6510,c_4925]) ).
tcf(c_6518,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_6510,c_4833]) ).
tcf(c_6519,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_6510,c_4832]) ).
tcf(c_6520,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_6510,c_4774]) ).
tcf(c_6521,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_6510,c_4773]) ).
tcf(c_6522,plain,
sdtpldt0(sdtasdt0(sz00,xn),xn) = sdtpldt0(xn,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_1972]) ).
tcf(c_6523,plain,
sdtpldt0(sdtasdt0(sz00,xn),xm) = sdtpldt0(xm,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_1971]) ).
tcf(c_6524,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(sz00,xn),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_3527]) ).
tcf(c_6525,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(sz00,xn),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_3526]) ).
tcf(c_6526,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(sz00,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_3478]) ).
tcf(c_6527,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(sz00,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_3477]) ).
tcf(c_6528,plain,
sdtpldt0(sdtasdt0(sz00,xn),xl) = sdtpldt0(xl,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_1970]) ).
tcf(c_6529,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_6510,c_2777]) ).
tcf(c_6530,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_6510,c_2776]) ).
tcf(c_6531,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,xn)),sdtasdt0(X1,sdtasdt0(sz00,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_65]) ).
tcf(c_6532,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,xn),X0),sdtasdt0(sdtasdt0(sz00,xn),X1)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_64]) ).
tcf(c_6533,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_6510,c_2727]) ).
tcf(c_6534,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_6510,c_2726]) ).
tcf(c_6535,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_6510,c_2654]) ).
tcf(c_6536,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_6510,c_2653]) ).
tcf(c_6537,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_6510,c_2626]) ).
tcf(c_6538,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_6510,c_2625]) ).
tcf(c_6539,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(sz00,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_2298]) ).
tcf(c_6540,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(sz00,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_2297]) ).
tcf(c_6541,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(sz00,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_2258]) ).
tcf(c_6542,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(sz00,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_2257]) ).
tcf(c_6543,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),sdtsldt0(xm,xl)) = sdtasdt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_6510,c_2224]) ).
tcf(c_6544,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),sdtsldt0(xn,xl)) = sdtasdt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_6510,c_2223]) ).
tcf(c_6545,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,xn),X0),X1) = sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_59]) ).
tcf(c_6546,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,xn),X0),X1) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_55]) ).
tcf(c_6548,plain,
sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_2011]) ).
tcf(c_6549,plain,
sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_2010]) ).
tcf(c_6550,plain,
sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_1974]) ).
tcf(c_6551,plain,
sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_1973]) ).
tcf(c_6552,plain,
sdtpldt0(sdtasdt0(sz00,xn),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_1967]) ).
tcf(c_6553,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,xn),X0) = sdtasdt0(X0,sdtasdt0(sz00,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_58]) ).
tcf(c_6554,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,xn),X0) = sdtpldt0(X0,sdtasdt0(sz00,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_54]) ).
tcf(c_6555,plain,
sdtasdt0(sz00,sdtasdt0(sz00,xn)) = sz00,
inference(superposition,[status(thm)],[c_6510,c_63]) ).
tcf(c_6556,plain,
sdtasdt0(sdtasdt0(sz00,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_6510,c_62]) ).
tcf(c_6557,plain,
sdtpldt0(sz00,sdtasdt0(sz00,xn)) = sdtasdt0(sz00,xn),
inference(superposition,[status(thm)],[c_6510,c_57]) ).
tcf(c_6558,plain,
sdtpldt0(sdtasdt0(sz00,xn),sz00) = sdtasdt0(sz00,xn),
inference(superposition,[status(thm)],[c_6510,c_56]) ).
tcf(c_6782,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(sz00,X0) != sdtasdt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_6087,c_66]) ).
tcf(c_6783,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(X0,sdtasdt0(sz00,xl)) != sdtasdt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_6087,c_67]) ).
tcf(c_6790,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(sdtasdt0(sz00,xl),X0) != sdtasdt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_6088,c_66]) ).
tcf(c_6791,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(X0,sz00) != sdtasdt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_6088,c_67]) ).
tcf(c_6798,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(sz00,X0) != sdtasdt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_6278,c_66]) ).
tcf(c_6799,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(X0,sdtasdt0(sz00,xm)) != sdtasdt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_6278,c_67]) ).
tcf(c_6802,plain,
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5539,c_71]) ).
tcf(c_6804,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_5539,c_52]) ).
tcf(c_6805,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5539,c_66]) ).
tcf(c_6806,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ) ),
inference(superposition,[status(thm)],[c_5539,c_67]) ).
tcf(c_6862,plain,
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5540,c_71]) ).
tcf(c_6863,plain,
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5540,c_70]) ).
tcf(c_6864,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_5540,c_52]) ).
tcf(c_6865,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5540,c_66]) ).
tcf(c_6866,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ) ),
inference(superposition,[status(thm)],[c_5540,c_67]) ).
tcf(c_6871,plain,
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5620,c_71]) ).
tcf(c_6872,plain,
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5620,c_70]) ).
tcf(c_6873,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_5620,c_52]) ).
tcf(c_6874,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5620,c_66]) ).
tcf(c_6875,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ) ),
inference(superposition,[status(thm)],[c_5620,c_67]) ).
tcf(c_6880,plain,
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_5621,c_71]) ).
tcf(c_6882,plain,
( aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_5621,c_52]) ).
tcf(c_6883,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5621,c_66]) ).
tcf(c_6884,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ) ),
inference(superposition,[status(thm)],[c_5621,c_67]) ).
tcf(c_6890,plain,
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5691,c_71]) ).
tcf(c_6892,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_5691,c_52]) ).
tcf(c_6893,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) != sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5691,c_66]) ).
tcf(c_6894,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) ) ),
inference(superposition,[status(thm)],[c_5691,c_67]) ).
tcf(c_6895,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_5691,c_5370]) ).
tcf(c_6900,plain,
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5692,c_71]) ).
tcf(c_6901,plain,
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5692,c_70]) ).
tcf(c_6902,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_5692,c_52]) ).
tcf(c_6903,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) != sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5692,c_66]) ).
tcf(c_6904,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ) ),
inference(superposition,[status(thm)],[c_5692,c_67]) ).
tcf(c_6941,plain,
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5760,c_71]) ).
tcf(c_6942,plain,
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5760,c_70]) ).
tcf(c_6943,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_5760,c_52]) ).
tcf(c_6944,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) != sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5760,c_66]) ).
tcf(c_6945,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) ) ),
inference(superposition,[status(thm)],[c_5760,c_67]) ).
tcf(c_6951,plain,
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5761,c_71]) ).
tcf(c_6953,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(superposition,[status(thm)],[c_5761,c_52]) ).
tcf(c_6954,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) != sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5761,c_66]) ).
tcf(c_6955,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ) ),
inference(superposition,[status(thm)],[c_5761,c_67]) ).
tcf(c_6956,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_5761,c_5539]) ).
tcf(c_6965,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(sdtasdt0(sz00,xm),X0) != sdtasdt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_6279,c_66]) ).
tcf(c_6966,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(X0,sz00) != sdtasdt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_6279,c_67]) ).
tcf(c_7016,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(sz00,X0) != sdtasdt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_6557,c_66]) ).
tcf(c_7017,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(X0,sdtasdt0(sz00,xn)) != sdtasdt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_6557,c_67]) ).
tcf(c_7024,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(sdtasdt0(sz00,xn),X0) != sdtasdt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_6558,c_66]) ).
tcf(c_7025,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(X0,sz00) != sdtasdt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_6558,c_67]) ).
tcf(c_7027,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xl) = sdtasdt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2007]) ).
tcf(c_7028,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xl) = sdtasdt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2007]) ).
tcf(c_7029,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),xl) = sdtasdt0(xl,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2007]) ).
tcf(c_7031,plain,
sdtasdt0(xl,xm) = sdtasdt0(xm,xl),
inference(superposition,[status(thm)],[c_102,c_2007]) ).
tcf(c_7032,plain,
sdtasdt0(xl,xn) = sdtasdt0(xn,xl),
inference(superposition,[status(thm)],[c_103,c_2007]) ).
tcf(c_7035,plain,
sdtasdt0(sdtpldt0(xm,xn),xl) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_2007]) ).
tcf(c_7036,plain,
sdtasdt0(sdtpldt0(sz00,xl),xl) = sdtasdt0(xl,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_2007]) ).
tcf(c_7037,plain,
sdtasdt0(sdtpldt0(sz00,xm),xl) = sdtasdt0(xl,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_2007]) ).
tcf(c_7038,plain,
sdtasdt0(sdtpldt0(sz00,xn),xl) = sdtasdt0(xl,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_2007]) ).
tcf(c_7039,plain,
sdtasdt0(sdtpldt0(xl,xm),xl) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_2007]) ).
tcf(c_7040,plain,
sdtasdt0(sdtasdt0(sz00,xl),xl) = sdtasdt0(xl,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_2007]) ).
tcf(c_7041,plain,
sdtasdt0(sdtpldt0(xl,xn),xl) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_2007]) ).
tcf(c_7042,plain,
sdtasdt0(sdtasdt0(sz00,xm),xl) = sdtasdt0(xl,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_2007]) ).
tcf(c_7043,plain,
sdtasdt0(sdtasdt0(sz00,xn),xl) = sdtasdt0(xl,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_2007]) ).
tcf(c_7048,plain,
( ( sz00 = xm )
| ( sz00 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_7031,c_72]) ).
tcf(c_7049,plain,
( aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_7031,c_53]) ).
tcf(c_7050,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_7031,c_68]) ).
tcf(c_7051,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_7031,c_69]) ).
tcf(c_7078,plain,
( ( sz00 = xn )
| ( sz00 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtasdt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_7032,c_72]) ).
tcf(c_7079,plain,
( aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_7032,c_53]) ).
tcf(c_7080,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_7032,c_68]) ).
tcf(c_7081,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_7032,c_69]) ).
tcf(c_7084,plain,
aNaturalNumber0(sdtasdt0(xl,xm)),
inference(global_subsumption_just,[status(thm)],[c_7049,c_102,c_101,c_7049]) ).
tcf(c_7086,plain,
sdtasdt0(sdtasdt0(xl,xm),xl) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_2007]) ).
tcf(c_7087,plain,
sdtasdt0(sdtasdt0(xl,xm),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_2004]) ).
tcf(c_7088,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_7084,c_5044]) ).
tcf(c_7089,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_7084,c_5043]) ).
tcf(c_7090,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_7084,c_4926]) ).
tcf(c_7091,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_7084,c_4925]) ).
tcf(c_7092,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_7084,c_4833]) ).
tcf(c_7093,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_7084,c_4832]) ).
tcf(c_7094,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_7084,c_4774]) ).
tcf(c_7095,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_7084,c_4773]) ).
tcf(c_7096,plain,
sdtpldt0(sdtasdt0(xl,xm),xn) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_1972]) ).
tcf(c_7097,plain,
sdtpldt0(sdtasdt0(xl,xm),xm) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_1971]) ).
tcf(c_7098,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xl,xm),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_3527]) ).
tcf(c_7099,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xl,xm),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_3526]) ).
tcf(c_7100,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xl,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_3478]) ).
tcf(c_7101,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xl,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_3477]) ).
tcf(c_7102,plain,
sdtpldt0(sdtasdt0(xl,xm),xl) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_1970]) ).
tcf(c_7103,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_7084,c_2777]) ).
tcf(c_7104,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_7084,c_2776]) ).
tcf(c_7105,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,xm)),sdtasdt0(X1,sdtasdt0(xl,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_65]) ).
tcf(c_7106,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xm),X0),sdtasdt0(sdtasdt0(xl,xm),X1)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_64]) ).
tcf(c_7107,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_7084,c_2727]) ).
tcf(c_7108,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_7084,c_2726]) ).
tcf(c_7109,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_7084,c_2654]) ).
tcf(c_7110,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_7084,c_2653]) ).
tcf(c_7111,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_7084,c_2626]) ).
tcf(c_7112,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_7084,c_2625]) ).
tcf(c_7113,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(xl,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_2298]) ).
tcf(c_7114,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(xl,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_2297]) ).
tcf(c_7115,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xl,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_2258]) ).
tcf(c_7116,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xl,xm),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_2257]) ).
tcf(c_7117,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),sdtsldt0(xm,xl)) = sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_7084,c_2224]) ).
tcf(c_7118,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),sdtsldt0(xn,xl)) = sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_7084,c_2223]) ).
tcf(c_7119,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xm),X0),X1) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_59]) ).
tcf(c_7120,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xm),X0),X1) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_55]) ).
tcf(c_7121,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xm),X0),sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_161]) ).
tcf(c_7122,plain,
sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_2011]) ).
tcf(c_7123,plain,
sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_2010]) ).
tcf(c_7124,plain,
sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_1974]) ).
tcf(c_7125,plain,
sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_1973]) ).
tcf(c_7126,plain,
sdtpldt0(sdtasdt0(xl,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_1967]) ).
tcf(c_7127,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xm),X0) = sdtasdt0(X0,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_58]) ).
tcf(c_7128,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xm),X0) = sdtpldt0(X0,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_54]) ).
tcf(c_7129,plain,
sdtasdt0(sz00,sdtasdt0(xl,xm)) = sz00,
inference(superposition,[status(thm)],[c_7084,c_63]) ).
tcf(c_7130,plain,
sdtasdt0(sdtasdt0(xl,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_7084,c_62]) ).
tcf(c_7131,plain,
sdtpldt0(sz00,sdtasdt0(xl,xm)) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_7084,c_57]) ).
tcf(c_7132,plain,
sdtpldt0(sdtasdt0(xl,xm),sz00) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_7084,c_56]) ).
tcf(c_7314,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(X0,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7129,c_69]) ).
tcf(c_7350,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_2157,c_5807]) ).
tcf(c_7354,plain,
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5807,c_71]) ).
tcf(c_7356,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_5807,c_52]) ).
tcf(c_7357,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) != sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5807,c_66]) ).
tcf(c_7358,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) ) ),
inference(superposition,[status(thm)],[c_5807,c_67]) ).
tcf(c_7359,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_5807,c_5485]) ).
tcf(c_7390,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_2157,c_5808]) ).
tcf(c_7393,plain,
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5808,c_71]) ).
tcf(c_7394,plain,
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5808,c_70]) ).
tcf(c_7395,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_5808,c_52]) ).
tcf(c_7396,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) != sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5808,c_66]) ).
tcf(c_7397,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ) ),
inference(superposition,[status(thm)],[c_5808,c_67]) ).
tcf(c_7400,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_2157,c_5844]) ).
tcf(c_7403,plain,
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5844,c_71]) ).
tcf(c_7404,plain,
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5844,c_70]) ).
tcf(c_7405,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_5844,c_52]) ).
tcf(c_7406,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) != sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5844,c_66]) ).
tcf(c_7407,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) ) ),
inference(superposition,[status(thm)],[c_5844,c_67]) ).
tcf(c_7439,plain,
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5845,c_71]) ).
tcf(c_7441,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ),
inference(superposition,[status(thm)],[c_5845,c_52]) ).
tcf(c_7442,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) != sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) ) ),
inference(superposition,[status(thm)],[c_5845,c_66]) ).
tcf(c_7443,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) ) ),
inference(superposition,[status(thm)],[c_5845,c_67]) ).
tcf(c_7444,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_5845,c_5621]) ).
tcf(c_7447,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(xn,xl)) != xn )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3677,c_101,c_111,c_3677]) ).
tcf(c_7448,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtsldt0(xn,xl)) != xn ) ),
inference(renaming,[status(thm)],[c_7447]) ).
tcf(c_7452,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = xl )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != xn ) ),
inference(superposition,[status(thm)],[c_3384,c_7448]) ).
tcf(c_7453,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = xl )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != xn ) ),
inference(superposition,[status(thm)],[c_3429,c_7448]) ).
tcf(c_7454,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = xl )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != xn ) ),
inference(superposition,[status(thm)],[c_3840,c_7448]) ).
tcf(c_7455,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = xl )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != xn ) ),
inference(superposition,[status(thm)],[c_3867,c_7448]) ).
tcf(c_7456,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(X0,sdtsldt0(xm,xl)) != xm )
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3678,c_101,c_113,c_3678]) ).
tcf(c_7457,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,sdtsldt0(xm,xl)) != xm ) ),
inference(renaming,[status(thm)],[c_7456]) ).
tcf(c_7461,plain,
( ( sdtsldt0(xn,xl) = xl )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) != xm ) ),
inference(superposition,[status(thm)],[c_2157,c_7457]) ).
tcf(c_7462,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = xl )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != xm ) ),
inference(superposition,[status(thm)],[c_3385,c_7457]) ).
tcf(c_7463,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = xl )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != xm ) ),
inference(superposition,[status(thm)],[c_3430,c_7457]) ).
tcf(c_7464,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = xl )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != xm ) ),
inference(superposition,[status(thm)],[c_3841,c_7457]) ).
tcf(c_7465,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = xl )
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != xm ) ),
inference(superposition,[status(thm)],[c_3868,c_7457]) ).
tcf(c_7471,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(xl,sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2103,c_71]) ).
tcf(c_7472,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(xl,sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2103,c_70]) ).
tcf(c_7473,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_2103,c_52]) ).
tcf(c_7474,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(sdtsldt0(xn,xl),X0) != sdtpldt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_2103,c_66]) ).
tcf(c_7475,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(xl,sdtsldt0(xn,xl)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_2103,c_67]) ).
tcf(c_7523,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(xm,sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2104,c_71]) ).
tcf(c_7524,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(xm,sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2104,c_70]) ).
tcf(c_7525,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_2104,c_52]) ).
tcf(c_7526,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(sdtsldt0(xn,xl),X0) != sdtpldt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_2104,c_66]) ).
tcf(c_7527,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(xm,sdtsldt0(xn,xl)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_2104,c_67]) ).
tcf(c_7542,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7130,c_68]) ).
tcf(c_7544,plain,
aNaturalNumber0(sdtasdt0(xl,xn)),
inference(global_subsumption_just,[status(thm)],[c_7079,c_103,c_101,c_7079]) ).
tcf(c_7546,plain,
sdtasdt0(sdtasdt0(xl,xn),xl) = sdtasdt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_2007]) ).
tcf(c_7547,plain,
sdtasdt0(sdtasdt0(xl,xn),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_2004]) ).
tcf(c_7548,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_7544,c_5044]) ).
tcf(c_7549,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_7544,c_5043]) ).
tcf(c_7550,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_7544,c_4926]) ).
tcf(c_7551,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_7544,c_4925]) ).
tcf(c_7552,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_7544,c_4833]) ).
tcf(c_7553,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_7544,c_4832]) ).
tcf(c_7554,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_7544,c_4774]) ).
tcf(c_7555,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_7544,c_4773]) ).
tcf(c_7556,plain,
sdtpldt0(sdtasdt0(xl,xn),xn) = sdtpldt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_1972]) ).
tcf(c_7557,plain,
sdtpldt0(sdtasdt0(xl,xn),xm) = sdtpldt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_1971]) ).
tcf(c_7558,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xl,xn),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_3527]) ).
tcf(c_7559,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xl,xn),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_3526]) ).
tcf(c_7560,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_3478]) ).
tcf(c_7561,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_3477]) ).
tcf(c_7562,plain,
sdtpldt0(sdtasdt0(xl,xn),xl) = sdtpldt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_1970]) ).
tcf(c_7563,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_7544,c_2777]) ).
tcf(c_7564,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_7544,c_2776]) ).
tcf(c_7565,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,xn)),sdtasdt0(X1,sdtasdt0(xl,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_65]) ).
tcf(c_7566,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xn),X0),sdtasdt0(sdtasdt0(xl,xn),X1)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_64]) ).
tcf(c_7567,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_7544,c_2727]) ).
tcf(c_7568,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_7544,c_2726]) ).
tcf(c_7569,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_7544,c_2654]) ).
tcf(c_7570,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_7544,c_2653]) ).
tcf(c_7571,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_7544,c_2626]) ).
tcf(c_7572,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_7544,c_2625]) ).
tcf(c_7573,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_2298]) ).
tcf(c_7574,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_2297]) ).
tcf(c_7575,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_2258]) ).
tcf(c_7576,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xl,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_2257]) ).
tcf(c_7577,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),sdtsldt0(xm,xl)) = sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_7544,c_2224]) ).
tcf(c_7578,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),sdtsldt0(xn,xl)) = sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_7544,c_2223]) ).
tcf(c_7579,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xn),X0),X1) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_59]) ).
tcf(c_7580,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xn),X0),X1) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_55]) ).
tcf(c_7581,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xn),X0),sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_161]) ).
tcf(c_7582,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_2011]) ).
tcf(c_7583,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_2010]) ).
tcf(c_7584,plain,
sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_1974]) ).
tcf(c_7585,plain,
sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_1973]) ).
tcf(c_7586,plain,
sdtpldt0(sdtasdt0(xl,xn),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_1967]) ).
tcf(c_7587,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xn),X0) = sdtasdt0(X0,sdtasdt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_58]) ).
tcf(c_7588,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xn),X0) = sdtpldt0(X0,sdtasdt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_54]) ).
tcf(c_7589,plain,
sdtasdt0(sz00,sdtasdt0(xl,xn)) = sz00,
inference(superposition,[status(thm)],[c_7544,c_63]) ).
tcf(c_7590,plain,
sdtasdt0(sdtasdt0(xl,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_7544,c_62]) ).
tcf(c_7591,plain,
sdtpldt0(sz00,sdtasdt0(xl,xn)) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_7544,c_57]) ).
tcf(c_7592,plain,
sdtpldt0(sdtasdt0(xl,xn),sz00) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_7544,c_56]) ).
tcf(c_7732,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(X0,sdtasdt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7589,c_69]) ).
tcf(c_7737,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(sdtasdt0(xl,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7590,c_68]) ).
tcf(c_7744,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_7131,c_66]) ).
tcf(c_7745,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(X0,sdtasdt0(xl,xm)) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_7131,c_67]) ).
tcf(c_7752,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_7132,c_66]) ).
tcf(c_7753,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_7132,c_67]) ).
tcf(c_7759,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_7591,c_66]) ).
tcf(c_7760,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(X0,sdtasdt0(xl,xn)) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_7591,c_67]) ).
tcf(c_7940,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),X0) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_7592,c_66]) ).
tcf(c_7941,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_7592,c_67]) ).
tcf(c_7944,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(xn,sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2105,c_71]) ).
tcf(c_7945,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(xn,sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2105,c_70]) ).
tcf(c_7946,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_2105,c_52]) ).
tcf(c_7947,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(sdtsldt0(xn,xl),X0) != sdtpldt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_2105,c_66]) ).
tcf(c_7948,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtpldt0(xn,sdtsldt0(xn,xl)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_2105,c_67]) ).
tcf(c_7953,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(xl,sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2122,c_71]) ).
tcf(c_7954,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(xl,sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2122,c_70]) ).
tcf(c_7955,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_2122,c_52]) ).
tcf(c_7956,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(sdtsldt0(xm,xl),X0) != sdtpldt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_2122,c_66]) ).
tcf(c_7957,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(xl,sdtsldt0(xm,xl)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_2122,c_67]) ).
tcf(c_7962,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(xm,sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2123,c_71]) ).
tcf(c_7963,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(xm,sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2123,c_70]) ).
tcf(c_7964,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_2123,c_52]) ).
tcf(c_7965,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(sdtsldt0(xm,xl),X0) != sdtpldt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_2123,c_66]) ).
tcf(c_7966,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(xm,sdtsldt0(xm,xl)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_2123,c_67]) ).
tcf(c_7971,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(xn,sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2124,c_71]) ).
tcf(c_7972,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(xn,sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2124,c_70]) ).
tcf(c_7973,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_2124,c_52]) ).
tcf(c_7974,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(sdtsldt0(xm,xl),X0) != sdtpldt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_2124,c_66]) ).
tcf(c_7975,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtpldt0(xn,sdtsldt0(xm,xl)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_2124,c_67]) ).
tcf(c_7982,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_2150,c_53]) ).
tcf(c_7983,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(sdtsldt0(xn,xl),X0) != sdtasdt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_2150,c_68]) ).
tcf(c_7988,plain,
( ( sz00 = xl )
| ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(xl,sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2153,c_72]) ).
tcf(c_7989,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_2153,c_53]) ).
tcf(c_7990,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(sdtsldt0(xn,xl),X0) != sdtasdt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_2153,c_68]) ).
tcf(c_7991,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(xl,sdtsldt0(xn,xl)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_2153,c_69]) ).
tcf(c_7996,plain,
( ( sz00 = xm )
| ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(xm,sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2154,c_72]) ).
tcf(c_7997,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_2154,c_53]) ).
tcf(c_7998,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(sdtsldt0(xn,xl),X0) != sdtasdt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_2154,c_68]) ).
tcf(c_7999,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(xm,sdtsldt0(xn,xl)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_2154,c_69]) ).
tcf(c_8004,plain,
( ( sz00 = xn )
| ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(xn,sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2155,c_72]) ).
tcf(c_8005,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_2155,c_53]) ).
tcf(c_8006,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(sdtsldt0(xn,xl),X0) != sdtasdt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_2155,c_68]) ).
tcf(c_8007,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ( sdtasdt0(xn,sdtsldt0(xn,xl)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_2155,c_69]) ).
tcf(c_8011,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xm) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2008]) ).
tcf(c_8012,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2008]) ).
tcf(c_8013,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_98,c_2008]) ).
tcf(c_8016,plain,
sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_103,c_2008]) ).
tcf(c_8019,plain,
sdtasdt0(sdtpldt0(xm,xn),xm) = sdtasdt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_2008]) ).
tcf(c_8020,plain,
sdtasdt0(sdtpldt0(sz00,xl),xm) = sdtasdt0(xm,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_2008]) ).
tcf(c_8021,plain,
sdtasdt0(sdtpldt0(sz00,xm),xm) = sdtasdt0(xm,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_2008]) ).
tcf(c_8022,plain,
sdtasdt0(sdtpldt0(sz00,xn),xm) = sdtasdt0(xm,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_2008]) ).
tcf(c_8023,plain,
sdtasdt0(sdtpldt0(xl,xm),xm) = sdtasdt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_2008]) ).
tcf(c_8024,plain,
sdtasdt0(sdtasdt0(sz00,xl),xm) = sdtasdt0(xm,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_2008]) ).
tcf(c_8025,plain,
sdtasdt0(sdtpldt0(xl,xn),xm) = sdtasdt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_2008]) ).
tcf(c_8026,plain,
sdtasdt0(sdtasdt0(sz00,xm),xm) = sdtasdt0(xm,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_2008]) ).
tcf(c_8027,plain,
sdtasdt0(sdtasdt0(sz00,xn),xm) = sdtasdt0(xm,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_2008]) ).
tcf(c_8028,plain,
sdtasdt0(sdtasdt0(xl,xm),xm) = sdtasdt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_2008]) ).
tcf(c_8029,plain,
sdtasdt0(sdtasdt0(xl,xn),xm) = sdtasdt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_2008]) ).
tcf(c_8034,plain,
( ( sz00 = xn )
| ( sz00 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_8016,c_72]) ).
tcf(c_8035,plain,
( aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_8016,c_53]) ).
tcf(c_8036,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_8016,c_68]) ).
tcf(c_8037,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_8016,c_69]) ).
tcf(c_8073,plain,
aNaturalNumber0(sdtasdt0(xm,xn)),
inference(global_subsumption_just,[status(thm)],[c_8035,c_103,c_102,c_8035]) ).
tcf(c_8075,plain,
sdtasdt0(sdtasdt0(xm,xn),xm) = sdtasdt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_2008]) ).
tcf(c_8076,plain,
sdtasdt0(sdtasdt0(xm,xn),xl) = sdtasdt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_2007]) ).
tcf(c_8077,plain,
sdtasdt0(sdtasdt0(xm,xn),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_2004]) ).
tcf(c_8078,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_8073,c_5044]) ).
tcf(c_8079,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_8073,c_5043]) ).
tcf(c_8080,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_8073,c_4926]) ).
tcf(c_8081,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_8073,c_4925]) ).
tcf(c_8082,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_8073,c_4833]) ).
tcf(c_8083,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_8073,c_4832]) ).
tcf(c_8084,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_8073,c_4774]) ).
tcf(c_8085,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_8073,c_4773]) ).
tcf(c_8086,plain,
sdtpldt0(sdtasdt0(xm,xn),xn) = sdtpldt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_1972]) ).
tcf(c_8087,plain,
sdtpldt0(sdtasdt0(xm,xn),xm) = sdtpldt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_1971]) ).
tcf(c_8088,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xm,xn),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_3527]) ).
tcf(c_8089,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xm,xn),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_3526]) ).
tcf(c_8090,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_3478]) ).
tcf(c_8091,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_3477]) ).
tcf(c_8092,plain,
sdtpldt0(sdtasdt0(xm,xn),xl) = sdtpldt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_1970]) ).
tcf(c_8093,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_8073,c_2777]) ).
tcf(c_8094,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_8073,c_2776]) ).
tcf(c_8095,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,xn)),sdtasdt0(X1,sdtasdt0(xm,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_65]) ).
tcf(c_8096,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,xn),X0),sdtasdt0(sdtasdt0(xm,xn),X1)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_64]) ).
tcf(c_8097,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_8073,c_2727]) ).
tcf(c_8098,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_8073,c_2726]) ).
tcf(c_8099,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_8073,c_2654]) ).
tcf(c_8100,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_8073,c_2653]) ).
tcf(c_8101,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_8073,c_2626]) ).
tcf(c_8102,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_8073,c_2625]) ).
tcf(c_8103,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_2298]) ).
tcf(c_8104,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_2297]) ).
tcf(c_8105,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_2258]) ).
tcf(c_8106,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xm,xn),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_2257]) ).
tcf(c_8107,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),sdtsldt0(xm,xl)) = sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_8073,c_2224]) ).
tcf(c_8108,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),sdtsldt0(xn,xl)) = sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_8073,c_2223]) ).
tcf(c_8109,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,xn),X0),X1) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_59]) ).
tcf(c_8110,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,xn),X0),X1) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_55]) ).
tcf(c_8111,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,xn),X0),sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_161]) ).
tcf(c_8112,plain,
sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_2011]) ).
tcf(c_8113,plain,
sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_2010]) ).
tcf(c_8114,plain,
sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_1974]) ).
tcf(c_8115,plain,
sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_1973]) ).
tcf(c_8116,plain,
sdtpldt0(sdtasdt0(xm,xn),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_1967]) ).
tcf(c_8117,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,xn),X0) = sdtasdt0(X0,sdtasdt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_58]) ).
tcf(c_8118,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,xn),X0) = sdtpldt0(X0,sdtasdt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_54]) ).
tcf(c_8119,plain,
sdtasdt0(sz00,sdtasdt0(xm,xn)) = sz00,
inference(superposition,[status(thm)],[c_8073,c_63]) ).
tcf(c_8120,plain,
sdtasdt0(sdtasdt0(xm,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_8073,c_62]) ).
tcf(c_8121,plain,
sdtpldt0(sz00,sdtasdt0(xm,xn)) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_8073,c_57]) ).
tcf(c_8122,plain,
sdtpldt0(sdtasdt0(xm,xn),sz00) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_8073,c_56]) ).
tcf(c_8281,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(X0,sdtasdt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8119,c_69]) ).
tcf(c_8286,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(sdtasdt0(xm,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8120,c_68]) ).
tcf(c_8293,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_8121,c_66]) ).
tcf(c_8294,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(X0,sdtasdt0(xm,xn)) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_8121,c_67]) ).
tcf(c_8301,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),X0) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_8122,c_66]) ).
tcf(c_8302,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_8122,c_67]) ).
tcf(c_8304,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xn) = sdtasdt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2009]) ).
tcf(c_8305,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xn) = sdtasdt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2009]) ).
tcf(c_8306,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_98,c_2009]) ).
tcf(c_8312,plain,
sdtasdt0(sdtpldt0(xm,xn),xn) = sdtasdt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_2009]) ).
tcf(c_8313,plain,
sdtasdt0(sdtpldt0(sz00,xl),xn) = sdtasdt0(xn,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_2009]) ).
tcf(c_8314,plain,
sdtasdt0(sdtpldt0(sz00,xm),xn) = sdtasdt0(xn,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_2009]) ).
tcf(c_8315,plain,
sdtasdt0(sdtpldt0(sz00,xn),xn) = sdtasdt0(xn,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_2009]) ).
tcf(c_8316,plain,
sdtasdt0(sdtpldt0(xl,xm),xn) = sdtasdt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_2009]) ).
tcf(c_8317,plain,
sdtasdt0(sdtasdt0(sz00,xl),xn) = sdtasdt0(xn,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_2009]) ).
tcf(c_8318,plain,
sdtasdt0(sdtpldt0(xl,xn),xn) = sdtasdt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_2009]) ).
tcf(c_8319,plain,
sdtasdt0(sdtasdt0(sz00,xm),xn) = sdtasdt0(xn,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_2009]) ).
tcf(c_8320,plain,
sdtasdt0(sdtasdt0(sz00,xn),xn) = sdtasdt0(xn,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_2009]) ).
tcf(c_8321,plain,
sdtasdt0(sdtasdt0(xl,xm),xn) = sdtasdt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_2009]) ).
tcf(c_8322,plain,
sdtasdt0(sdtasdt0(xl,xn),xn) = sdtasdt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_2009]) ).
tcf(c_8323,plain,
sdtasdt0(sdtasdt0(xm,xn),xn) = sdtasdt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_2009]) ).
tcf(c_8330,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_2160,c_53]) ).
tcf(c_8331,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(sdtsldt0(xm,xl),X0) != sdtasdt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_2160,c_68]) ).
tcf(c_8336,plain,
( ( sz00 = xl )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(xl,sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2163,c_72]) ).
tcf(c_8337,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_2163,c_53]) ).
tcf(c_8338,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(sdtsldt0(xm,xl),X0) != sdtasdt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_2163,c_68]) ).
tcf(c_8339,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(xl,sdtsldt0(xm,xl)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_2163,c_69]) ).
tcf(c_8366,plain,
( ( sz00 = xm )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(xm,sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2164,c_72]) ).
tcf(c_8367,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_2164,c_53]) ).
tcf(c_8368,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(sdtsldt0(xm,xl),X0) != sdtasdt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_2164,c_68]) ).
tcf(c_8369,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(xm,sdtsldt0(xm,xl)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_2164,c_69]) ).
tcf(c_8374,plain,
( ( sz00 = xn )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(xn,sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2165,c_72]) ).
tcf(c_8375,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_2165,c_53]) ).
tcf(c_8376,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(sdtsldt0(xm,xl),X0) != sdtasdt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_2165,c_68]) ).
tcf(c_8377,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ( sdtasdt0(xn,sdtsldt0(xm,xl)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_2165,c_69]) ).
tcf(c_8380,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(global_subsumption_just,[status(thm)],[c_2083,c_49,c_111,c_2083]) ).
tcf(c_8383,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_2009]) ).
tcf(c_8384,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_2008]) ).
tcf(c_8385,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_2007]) ).
tcf(c_8386,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_2004]) ).
tcf(c_8387,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_8380,c_5044]) ).
tcf(c_8388,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_8380,c_5043]) ).
tcf(c_8389,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_8380,c_4926]) ).
tcf(c_8390,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_8380,c_4925]) ).
tcf(c_8391,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_8380,c_4833]) ).
tcf(c_8392,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_8380,c_4832]) ).
tcf(c_8393,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_8380,c_4774]) ).
tcf(c_8394,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_8380,c_4773]) ).
tcf(c_8395,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_1972]) ).
tcf(c_8396,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_1971]) ).
tcf(c_8397,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_3527]) ).
tcf(c_8398,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_3526]) ).
tcf(c_8399,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_3478]) ).
tcf(c_8400,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_3477]) ).
tcf(c_8401,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_1970]) ).
tcf(c_8402,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_8380,c_2777]) ).
tcf(c_8403,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_8380,c_2776]) ).
tcf(c_8404,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtsldt0(xn,xl))),sdtasdt0(X1,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_65]) ).
tcf(c_8405,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_64]) ).
tcf(c_8406,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_8380,c_2727]) ).
tcf(c_8407,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_8380,c_2726]) ).
tcf(c_8408,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_8380,c_2654]) ).
tcf(c_8409,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_8380,c_2653]) ).
tcf(c_8410,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_8380,c_2626]) ).
tcf(c_8411,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_8380,c_2625]) ).
tcf(c_8412,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_2298]) ).
tcf(c_8413,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_2297]) ).
tcf(c_8414,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_2258]) ).
tcf(c_8415,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_2257]) ).
tcf(c_8416,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)) = sdtpldt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_8380,c_2224]) ).
tcf(c_8417,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)) = sdtpldt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_8380,c_2223]) ).
tcf(c_8418,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_59]) ).
tcf(c_8419,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_55]) ).
tcf(c_8420,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtsldt0(xn,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0),sdtpldt0(sz00,sdtsldt0(xn,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_161]) ).
tcf(c_8421,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_2011]) ).
tcf(c_8422,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_2010]) ).
tcf(c_8423,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_1974]) ).
tcf(c_8424,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_1973]) ).
tcf(c_8425,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_1967]) ).
tcf(c_8426,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_58]) ).
tcf(c_8427,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_54]) ).
tcf(c_8428,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_63]) ).
tcf(c_8429,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8380,c_62]) ).
tcf(c_8430,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))) = sdtpldt0(sz00,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_8380,c_57]) ).
tcf(c_8431,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sz00) = sdtpldt0(sz00,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_8380,c_56]) ).
tcf(c_8616,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_2091,c_49,c_113,c_2091]) ).
tcf(c_8619,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_2009]) ).
tcf(c_8620,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_2008]) ).
tcf(c_8621,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_2007]) ).
tcf(c_8622,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_2004]) ).
tcf(c_8623,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_8616,c_5044]) ).
tcf(c_8624,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_8616,c_5043]) ).
tcf(c_8625,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_8616,c_4926]) ).
tcf(c_8626,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_8616,c_4925]) ).
tcf(c_8627,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_8616,c_4833]) ).
tcf(c_8628,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_8616,c_4832]) ).
tcf(c_8629,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_8616,c_4774]) ).
tcf(c_8630,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_8616,c_4773]) ).
tcf(c_8631,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_1972]) ).
tcf(c_8632,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_1971]) ).
tcf(c_8633,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_3527]) ).
tcf(c_8634,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_3526]) ).
tcf(c_8635,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_3478]) ).
tcf(c_8636,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_3477]) ).
tcf(c_8637,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_1970]) ).
tcf(c_8638,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_8616,c_2777]) ).
tcf(c_8639,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_8616,c_2776]) ).
tcf(c_8640,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtsldt0(xm,xl))),sdtasdt0(X1,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_65]) ).
tcf(c_8641,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_64]) ).
tcf(c_8642,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_8616,c_2727]) ).
tcf(c_8643,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_8616,c_2726]) ).
tcf(c_8644,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_8616,c_2654]) ).
tcf(c_8645,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_8616,c_2653]) ).
tcf(c_8646,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_8616,c_2626]) ).
tcf(c_8647,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_8616,c_2625]) ).
tcf(c_8648,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_2298]) ).
tcf(c_8649,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_2297]) ).
tcf(c_8650,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_2258]) ).
tcf(c_8651,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_2257]) ).
tcf(c_8652,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)) = sdtpldt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_8616,c_2224]) ).
tcf(c_8653,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)) = sdtpldt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_8616,c_2223]) ).
tcf(c_8654,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_59]) ).
tcf(c_8655,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_55]) ).
tcf(c_8656,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtsldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0),sdtpldt0(sz00,sdtsldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_161]) ).
tcf(c_8657,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_2011]) ).
tcf(c_8658,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_2010]) ).
tcf(c_8659,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_1974]) ).
tcf(c_8660,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_1973]) ).
tcf(c_8661,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_1967]) ).
tcf(c_8662,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_58]) ).
tcf(c_8663,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_54]) ).
tcf(c_8664,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_63]) ).
tcf(c_8665,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8616,c_62]) ).
tcf(c_8666,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))) = sdtpldt0(sz00,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_8616,c_57]) ).
tcf(c_8667,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_8616,c_56]) ).
tcf(c_8733,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8428,c_69]) ).
tcf(c_8739,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8429,c_68]) ).
tcf(c_8747,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8664,c_69]) ).
tcf(c_8753,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8665,c_68]) ).
tcf(c_8760,plain,
( ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2316,c_70]) ).
tcf(c_8761,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_2316,c_52]) ).
tcf(c_8762,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sdtpldt0(sz00,xl),X0) != sdtpldt0(sz00,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_2316,c_66]) ).
tcf(c_8763,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_2316,c_67]) ).
tcf(c_8770,plain,
( ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2449,c_70]) ).
tcf(c_8771,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_2449,c_52]) ).
tcf(c_8772,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sdtpldt0(sz00,xm),X0) != sdtpldt0(sz00,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_2449,c_66]) ).
tcf(c_8773,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_2449,c_67]) ).
tcf(c_8822,plain,
( ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3121,c_70]) ).
tcf(c_8823,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3121,c_52]) ).
tcf(c_8824,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sdtpldt0(sz00,xn),X0) != sdtpldt0(sz00,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_3121,c_66]) ).
tcf(c_8825,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_3121,c_67]) ).
tcf(c_8960,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(xl,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4042,c_71]) ).
tcf(c_8961,plain,
( ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(xl,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4042,c_70]) ).
tcf(c_8962,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_4042,c_52]) ).
tcf(c_8963,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sdtpldt0(sz00,xl),X0) != sdtpldt0(xl,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_4042,c_66]) ).
tcf(c_8964,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(xl,sdtpldt0(sz00,xl)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_4042,c_67]) ).
tcf(c_9019,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2312,c_72]) ).
tcf(c_9020,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_2312,c_53]) ).
tcf(c_9021,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)) != sdtasdt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_2312,c_68]) ).
tcf(c_9022,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)) != sdtasdt0(X0,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_2312,c_69]) ).
tcf(c_9028,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2313,c_72]) ).
tcf(c_9029,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_2313,c_53]) ).
tcf(c_9030,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_2313,c_68]) ).
tcf(c_9031,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)) != sdtasdt0(X0,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_2313,c_69]) ).
tcf(c_9037,plain,
( ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2314,c_71]) ).
tcf(c_9038,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2314,c_70]) ).
tcf(c_9039,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_2314,c_52]) ).
tcf(c_9040,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)) != sdtpldt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_2314,c_66]) ).
tcf(c_9041,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_2314,c_67]) ).
tcf(c_9047,plain,
( ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2315,c_71]) ).
tcf(c_9048,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2315,c_70]) ).
tcf(c_9049,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_2315,c_52]) ).
tcf(c_9050,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_2315,c_66]) ).
tcf(c_9051,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_2315,c_67]) ).
tcf(c_9109,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2445,c_72]) ).
tcf(c_9110,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_2445,c_53]) ).
tcf(c_9111,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)) != sdtasdt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_2445,c_68]) ).
tcf(c_9112,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)) != sdtasdt0(X0,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_2445,c_69]) ).
tcf(c_9118,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2446,c_72]) ).
tcf(c_9119,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_2446,c_53]) ).
tcf(c_9120,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_2446,c_68]) ).
tcf(c_9121,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)) != sdtasdt0(X0,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_2446,c_69]) ).
tcf(c_9127,plain,
( ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2447,c_71]) ).
tcf(c_9128,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2447,c_70]) ).
tcf(c_9129,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_2447,c_52]) ).
tcf(c_9130,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)) != sdtpldt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_2447,c_66]) ).
tcf(c_9131,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_2447,c_67]) ).
tcf(c_9137,plain,
( ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2448,c_71]) ).
tcf(c_9138,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2448,c_70]) ).
tcf(c_9139,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_2448,c_52]) ).
tcf(c_9140,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_2448,c_66]) ).
tcf(c_9141,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_2448,c_67]) ).
tcf(c_9183,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_1925]) ).
tcf(c_9184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2)) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1925]) ).
tcf(c_9185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(X0,X1),X2)) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1925]) ).
tcf(c_9186,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sdtsldt0(X1,X0),X2)) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_1925]) ).
tcf(c_9187,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xl,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_1925]) ).
tcf(c_9188,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xm,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_1925]) ).
tcf(c_9189,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xn,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_1925]) ).
tcf(c_9190,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_1925]) ).
tcf(c_9191,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_1925]) ).
tcf(c_9192,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_1925]) ).
tcf(c_9193,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_1925]) ).
tcf(c_9194,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_1925]) ).
tcf(c_9195,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_1925]) ).
tcf(c_9196,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_1925]) ).
tcf(c_9197,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_1925]) ).
tcf(c_9198,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_1925]) ).
tcf(c_9199,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_1925]) ).
tcf(c_9200,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_1925]) ).
tcf(c_9201,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_1925]) ).
tcf(c_9202,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_1925]) ).
tcf(c_9203,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_1925]) ).
tcf(c_9204,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_1925]) ).
tcf(c_9205,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_1925]) ).
tcf(c_9444,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_9183]) ).
tcf(c_9445,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_9183]) ).
tcf(c_9446,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_9183]) ).
tcf(c_9447,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(X1,X0))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_9183]) ).
tcf(c_9453,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_9183]) ).
tcf(c_9454,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_9183]) ).
tcf(c_9455,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_9183]) ).
tcf(c_9456,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_9183]) ).
tcf(c_9457,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_9183]) ).
tcf(c_9458,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_9183]) ).
tcf(c_9459,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_9183]) ).
tcf(c_9460,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_9183]) ).
tcf(c_9461,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_9183]) ).
tcf(c_9462,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_9183]) ).
tcf(c_9463,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_9183]) ).
tcf(c_9464,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_9183]) ).
tcf(c_9465,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_9183]) ).
tcf(c_9466,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_9183]) ).
tcf(c_9551,plain,
sdtasdt0(sz00,sdtpldt0(xl,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_9187]) ).
tcf(c_9552,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_9187]) ).
tcf(c_9553,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_9187]) ).
tcf(c_9554,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(X1,X0))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_9187]) ).
tcf(c_9555,plain,
sdtasdt0(sz00,sdtpldt0(xl,xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_9187]) ).
tcf(c_9558,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_111,c_9187]) ).
tcf(c_9559,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_113,c_9187]) ).
tcf(c_9560,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_9187]) ).
tcf(c_9561,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_9187]) ).
tcf(c_9562,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_9187]) ).
tcf(c_9563,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_9187]) ).
tcf(c_9564,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_9187]) ).
tcf(c_9565,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_9187]) ).
tcf(c_9566,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_9187]) ).
tcf(c_9567,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_9187]) ).
tcf(c_9568,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_9187]) ).
tcf(c_9569,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_9187]) ).
tcf(c_9570,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_9187]) ).
tcf(c_9571,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_9187]) ).
tcf(c_9572,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_9187]) ).
tcf(c_9573,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_9187]) ).
tcf(c_9676,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sz00))
| ( sdtasdt0(X0,sdtpldt0(xl,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9551,c_69]) ).
tcf(c_9682,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(X0,sdtpldt0(xl,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9555,c_69]) ).
tcf(c_9689,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9453,c_69]) ).
tcf(c_9697,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9454,c_69]) ).
tcf(c_9703,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9558,c_69]) ).
tcf(c_9709,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9559,c_69]) ).
tcf(c_9710,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_9190]) ).
tcf(c_9711,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_9190]) ).
tcf(c_9712,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_9190]) ).
tcf(c_9713,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_9190]) ).
tcf(c_9714,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_9190]) ).
tcf(c_9715,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xm)) = sz00,
inference(superposition,[status(thm)],[c_102,c_9190]) ).
tcf(c_9716,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xn)) = sz00,
inference(superposition,[status(thm)],[c_103,c_9190]) ).
tcf(c_9717,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_111,c_9190]) ).
tcf(c_9718,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_113,c_9190]) ).
tcf(c_9719,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_9190]) ).
tcf(c_9720,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_9190]) ).
tcf(c_9721,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_9190]) ).
tcf(c_9722,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_9190]) ).
tcf(c_9723,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_9190]) ).
tcf(c_9724,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_9190]) ).
tcf(c_9725,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_9190]) ).
tcf(c_9726,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_9190]) ).
tcf(c_9727,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_9190]) ).
tcf(c_9728,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_9190]) ).
tcf(c_9729,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_9190]) ).
tcf(c_9730,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_9190]) ).
tcf(c_9731,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_9190]) ).
tcf(c_9732,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_9190]) ).
tcf(c_9859,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9717,c_69]) ).
tcf(c_9860,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_2107,c_9718]) ).
tcf(c_9866,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9718,c_69]) ).
tcf(c_9907,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_9191]) ).
tcf(c_9908,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_9191]) ).
tcf(c_9909,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_9191]) ).
tcf(c_9910,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_9191]) ).
tcf(c_9911,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_9191]) ).
tcf(c_9912,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xm)) = sz00,
inference(superposition,[status(thm)],[c_102,c_9191]) ).
tcf(c_9913,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xn)) = sz00,
inference(superposition,[status(thm)],[c_103,c_9191]) ).
tcf(c_9915,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_113,c_9191]) ).
tcf(c_9916,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_9191]) ).
tcf(c_9917,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_9191]) ).
tcf(c_9918,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_9191]) ).
tcf(c_9919,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_9191]) ).
tcf(c_9920,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_9191]) ).
tcf(c_9921,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_9191]) ).
tcf(c_9922,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_9191]) ).
tcf(c_9923,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_9191]) ).
tcf(c_9924,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_9191]) ).
tcf(c_9925,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_9191]) ).
tcf(c_9926,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_9191]) ).
tcf(c_9927,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_9191]) ).
tcf(c_9928,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_9191]) ).
tcf(c_9929,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_9191]) ).
tcf(c_9979,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9915,c_69]) ).
tcf(c_9987,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sz00))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9710,c_69]) ).
tcf(c_9994,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xl))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9714,c_69]) ).
tcf(c_9995,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_2104,c_9715]) ).
tcf(c_10001,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xm))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9715,c_69]) ).
tcf(c_10002,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_2105,c_9716]) ).
tcf(c_10008,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xn))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9716,c_69]) ).
tcf(c_10016,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sz00))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9907,c_69]) ).
tcf(c_10024,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xm)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9455,c_69]) ).
tcf(c_10032,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xn)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9456,c_69]) ).
tcf(c_10039,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9459,c_69]) ).
tcf(c_10047,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9460,c_69]) ).
tcf(c_10105,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xl))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9911,c_69]) ).
tcf(c_10106,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_2123,c_9912]) ).
tcf(c_10112,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xm))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9912,c_69]) ).
tcf(c_10113,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_2124,c_9913]) ).
tcf(c_10119,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xn))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_9913,c_69]) ).
tcf(c_10125,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9719,c_69]) ).
tcf(c_10126,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_2315,c_9720]) ).
tcf(c_10133,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9720,c_69]) ).
tcf(c_10134,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_2448,c_9721]) ).
tcf(c_10141,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9721,c_69]) ).
tcf(c_10148,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9722,c_69]) ).
tcf(c_10154,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9725,c_69]) ).
tcf(c_10155,plain,
sdtasdt0(sz00,sdtpldt0(xm,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_9188]) ).
tcf(c_10156,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_9188]) ).
tcf(c_10157,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_9188]) ).
tcf(c_10158,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(X1,X0))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_9188]) ).
tcf(c_10159,plain,
sdtasdt0(sz00,sdtpldt0(xm,xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_9188]) ).
tcf(c_10160,plain,
sdtasdt0(sz00,sdtpldt0(xm,xm)) = sz00,
inference(superposition,[status(thm)],[c_102,c_9188]) ).
tcf(c_10164,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_9188]) ).
tcf(c_10165,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_9188]) ).
tcf(c_10166,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_9188]) ).
tcf(c_10167,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_9188]) ).
tcf(c_10168,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_9188]) ).
tcf(c_10169,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_9188]) ).
tcf(c_10170,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_9188]) ).
tcf(c_10171,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_9188]) ).
tcf(c_10172,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_9188]) ).
tcf(c_10173,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_9188]) ).
tcf(c_10174,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_9188]) ).
tcf(c_10175,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_9188]) ).
tcf(c_10176,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_9188]) ).
tcf(c_10177,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_9188]) ).
tcf(c_10239,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sz00))
| ( sdtasdt0(X0,sdtpldt0(xm,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10155,c_69]) ).
tcf(c_10246,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(X0,sdtpldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10159,c_69]) ).
tcf(c_10252,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtasdt0(X0,sdtpldt0(xm,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10160,c_69]) ).
tcf(c_10272,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9461,c_69]) ).
tcf(c_10280,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xm)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9462,c_69]) ).
tcf(c_10288,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xn)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9463,c_69]) ).
tcf(c_10295,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9464,c_69]) ).
tcf(c_10302,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9726,c_69]) ).
tcf(c_10308,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9727,c_69]) ).
tcf(c_10315,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9728,c_69]) ).
tcf(c_10322,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9729,c_69]) ).
tcf(c_10328,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9730,c_69]) ).
tcf(c_10334,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9731,c_69]) ).
tcf(c_10340,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9732,c_69]) ).
tcf(c_10350,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9860,c_69]) ).
tcf(c_10360,plain,
sdtasdt0(sz00,sdtpldt0(xn,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_9189]) ).
tcf(c_10361,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_9189]) ).
tcf(c_10362,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_9189]) ).
tcf(c_10363,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(X1,X0))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_9189]) ).
tcf(c_10364,plain,
sdtasdt0(sz00,sdtpldt0(xn,xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_9189]) ).
tcf(c_10365,plain,
sdtasdt0(sz00,sdtpldt0(xn,xm)) = sz00,
inference(superposition,[status(thm)],[c_102,c_9189]) ).
tcf(c_10366,plain,
sdtasdt0(sz00,sdtpldt0(xn,xn)) = sz00,
inference(superposition,[status(thm)],[c_103,c_9189]) ).
tcf(c_10369,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_9189]) ).
tcf(c_10370,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_9189]) ).
tcf(c_10371,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_9189]) ).
tcf(c_10372,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_9189]) ).
tcf(c_10373,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_9189]) ).
tcf(c_10374,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_9189]) ).
tcf(c_10375,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_9189]) ).
tcf(c_10376,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_9189]) ).
tcf(c_10377,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_9189]) ).
tcf(c_10378,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_9189]) ).
tcf(c_10379,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_9189]) ).
tcf(c_10380,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_9189]) ).
tcf(c_10381,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_9189]) ).
tcf(c_10382,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_9189]) ).
tcf(c_10701,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtasdt0(X0,sdtpldt0(xn,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10360,c_69]) ).
tcf(c_10708,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtasdt0(X0,sdtpldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10364,c_69]) ).
tcf(c_10715,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_10365,c_69]) ).
tcf(c_10721,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtasdt0(X0,sdtpldt0(xn,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10366,c_69]) ).
tcf(c_10728,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9465,c_69]) ).
tcf(c_10735,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9466,c_69]) ).
tcf(c_10741,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9560,c_69]) ).
tcf(c_10747,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9916,c_69]) ).
tcf(c_10748,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_2314,c_9917]) ).
tcf(c_10755,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9917,c_69]) ).
tcf(c_10756,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_2447,c_9918]) ).
tcf(c_10763,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9918,c_69]) ).
tcf(c_10770,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9919,c_69]) ).
tcf(c_10776,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9922,c_69]) ).
tcf(c_10783,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9923,c_69]) ).
tcf(c_10789,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9924,c_69]) ).
tcf(c_10796,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9925,c_69]) ).
tcf(c_10797,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_1926]) ).
tcf(c_10798,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1926]) ).
tcf(c_10799,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1926]) ).
tcf(c_10800,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtpldt0(sdtsldt0(X1,X0),X2),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_1926]) ).
tcf(c_10801,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_1926]) ).
tcf(c_10802,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_1926]) ).
tcf(c_10803,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_1926]) ).
tcf(c_10804,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_1926]) ).
tcf(c_10805,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_1926]) ).
tcf(c_10806,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_1926]) ).
tcf(c_10807,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_1926]) ).
tcf(c_10808,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_1926]) ).
tcf(c_10809,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_1926]) ).
tcf(c_10810,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_1926]) ).
tcf(c_10811,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_1926]) ).
tcf(c_10812,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_1926]) ).
tcf(c_10813,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_1926]) ).
tcf(c_10814,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_1926]) ).
tcf(c_10815,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_1926]) ).
tcf(c_10816,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_1926]) ).
tcf(c_10817,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_1926]) ).
tcf(c_10818,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_1926]) ).
tcf(c_10819,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_1926]) ).
tcf(c_10841,plain,
sdtasdt0(sdtpldt0(sz00,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_10797]) ).
tcf(c_10842,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_10797]) ).
tcf(c_10843,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_10797]) ).
tcf(c_10844,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtpldt0(sz00,sdtsldt0(X1,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_10797]) ).
tcf(c_10850,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5163,c_10797]) ).
tcf(c_10851,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2306,c_10797]) ).
tcf(c_10852,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2439,c_10797]) ).
tcf(c_10853,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3105,c_10797]) ).
tcf(c_10854,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8380,c_10797]) ).
tcf(c_10855,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8616,c_10797]) ).
tcf(c_10856,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4110,c_10797]) ).
tcf(c_10857,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6040,c_10797]) ).
tcf(c_10858,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4519,c_10797]) ).
tcf(c_10859,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6231,c_10797]) ).
tcf(c_10860,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6510,c_10797]) ).
tcf(c_10861,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7084,c_10797]) ).
tcf(c_10862,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7544,c_10797]) ).
tcf(c_10863,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8073,c_10797]) ).
tcf(c_10908,plain,
sdtasdt0(sdtpldt0(xl,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_10801]) ).
tcf(c_10909,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_10801]) ).
tcf(c_10910,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_10801]) ).
tcf(c_10911,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtpldt0(xl,sdtsldt0(X1,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_10801]) ).
tcf(c_10912,plain,
sdtasdt0(sdtpldt0(xl,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_10801]) ).
tcf(c_10915,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_111,c_10801]) ).
tcf(c_10916,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_113,c_10801]) ).
tcf(c_10917,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5163,c_10801]) ).
tcf(c_10918,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2306,c_10801]) ).
tcf(c_10919,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2439,c_10801]) ).
tcf(c_10920,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3105,c_10801]) ).
tcf(c_10921,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8380,c_10801]) ).
tcf(c_10922,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8616,c_10801]) ).
tcf(c_10923,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4110,c_10801]) ).
tcf(c_10924,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6040,c_10801]) ).
tcf(c_10925,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4519,c_10801]) ).
tcf(c_10926,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6231,c_10801]) ).
tcf(c_10927,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6510,c_10801]) ).
tcf(c_10928,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7084,c_10801]) ).
tcf(c_10929,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7544,c_10801]) ).
tcf(c_10930,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8073,c_10801]) ).
tcf(c_10939,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sz00))
| ( sdtasdt0(sdtpldt0(xl,sz00),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10908,c_68]) ).
tcf(c_10945,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(sdtpldt0(xl,xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10912,c_68]) ).
tcf(c_10953,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xl)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9561,c_69]) ).
tcf(c_10960,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xm)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9562,c_69]) ).
tcf(c_10965,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10915,c_68]) ).
tcf(c_10971,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10916,c_68]) ).
tcf(c_10973,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_10804]) ).
tcf(c_10974,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_10804]) ).
tcf(c_10975,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_10804]) ).
tcf(c_10976,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_10804]) ).
tcf(c_10977,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_10804]) ).
tcf(c_10978,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_10804]) ).
tcf(c_10979,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_10804]) ).
tcf(c_10980,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_111,c_10804]) ).
tcf(c_10981,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_113,c_10804]) ).
tcf(c_10982,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5163,c_10804]) ).
tcf(c_10983,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2306,c_10804]) ).
tcf(c_10984,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2439,c_10804]) ).
tcf(c_10985,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3105,c_10804]) ).
tcf(c_10986,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8380,c_10804]) ).
tcf(c_10987,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8616,c_10804]) ).
tcf(c_10988,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4110,c_10804]) ).
tcf(c_10989,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6040,c_10804]) ).
tcf(c_10990,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4519,c_10804]) ).
tcf(c_10991,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6231,c_10804]) ).
tcf(c_10992,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6510,c_10804]) ).
tcf(c_10993,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7084,c_10804]) ).
tcf(c_10994,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7544,c_10804]) ).
tcf(c_10995,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8073,c_10804]) ).
tcf(c_11029,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10980,c_68]) ).
tcf(c_11031,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2107,c_10981]) ).
tcf(c_11036,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10981,c_68]) ).
tcf(c_11210,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_10805]) ).
tcf(c_11211,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_10805]) ).
tcf(c_11212,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_10805]) ).
tcf(c_11213,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_10805]) ).
tcf(c_11214,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_10805]) ).
tcf(c_11215,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_10805]) ).
tcf(c_11216,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_10805]) ).
tcf(c_11218,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_113,c_10805]) ).
tcf(c_11219,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5163,c_10805]) ).
tcf(c_11220,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2306,c_10805]) ).
tcf(c_11221,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2439,c_10805]) ).
tcf(c_11222,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3105,c_10805]) ).
tcf(c_11223,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8380,c_10805]) ).
tcf(c_11224,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8616,c_10805]) ).
tcf(c_11225,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4110,c_10805]) ).
tcf(c_11226,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6040,c_10805]) ).
tcf(c_11227,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4519,c_10805]) ).
tcf(c_11228,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6231,c_10805]) ).
tcf(c_11229,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6510,c_10805]) ).
tcf(c_11230,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7084,c_10805]) ).
tcf(c_11231,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7544,c_10805]) ).
tcf(c_11232,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8073,c_10805]) ).
tcf(c_11239,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11218,c_68]) ).
tcf(c_11247,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sz00))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sz00),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10973,c_68]) ).
tcf(c_11254,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xl))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10977,c_68]) ).
tcf(c_11256,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2104,c_10978]) ).
tcf(c_11261,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xm))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10978,c_68]) ).
tcf(c_11263,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2105,c_10979]) ).
tcf(c_11268,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xn))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10979,c_68]) ).
tcf(c_11276,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sz00))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sz00),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11210,c_68]) ).
tcf(c_11284,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xn)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9563,c_69]) ).
tcf(c_11290,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9566,c_69]) ).
tcf(c_11297,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xl)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9567,c_69]) ).
tcf(c_11303,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9568,c_69]) ).
tcf(c_11309,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xl))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11214,c_68]) ).
tcf(c_11311,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2123,c_11215]) ).
tcf(c_11316,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xm))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11215,c_68]) ).
tcf(c_11318,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2124,c_11216]) ).
tcf(c_11323,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xn))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11216,c_68]) ).
tcf(c_11331,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9926,c_69]) ).
tcf(c_11337,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9927,c_69]) ).
tcf(c_11343,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9928,c_69]) ).
tcf(c_11349,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9929,c_69]) ).
tcf(c_11354,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10982,c_68]) ).
tcf(c_11356,plain,
sdtasdt0(sdtpldt0(xm,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_10802]) ).
tcf(c_11357,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_10802]) ).
tcf(c_11358,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_10802]) ).
tcf(c_11359,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtpldt0(xm,sdtsldt0(X1,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_10802]) ).
tcf(c_11360,plain,
sdtasdt0(sdtpldt0(xm,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_10802]) ).
tcf(c_11361,plain,
sdtasdt0(sdtpldt0(xm,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_10802]) ).
tcf(c_11365,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5163,c_10802]) ).
tcf(c_11366,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2306,c_10802]) ).
tcf(c_11367,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2439,c_10802]) ).
tcf(c_11368,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3105,c_10802]) ).
tcf(c_11369,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8380,c_10802]) ).
tcf(c_11370,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8616,c_10802]) ).
tcf(c_11371,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4110,c_10802]) ).
tcf(c_11372,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6040,c_10802]) ).
tcf(c_11373,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4519,c_10802]) ).
tcf(c_11374,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6231,c_10802]) ).
tcf(c_11375,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6510,c_10802]) ).
tcf(c_11376,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7084,c_10802]) ).
tcf(c_11377,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7544,c_10802]) ).
tcf(c_11378,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8073,c_10802]) ).
tcf(c_11387,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sz00))
| ( sdtasdt0(sdtpldt0(xm,sz00),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11356,c_68]) ).
tcf(c_11394,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(sdtpldt0(xm,xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11360,c_68]) ).
tcf(c_11400,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtasdt0(sdtpldt0(xm,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11361,c_68]) ).
tcf(c_11408,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xm)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9569,c_69]) ).
tcf(c_11415,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xn)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9570,c_69]) ).
tcf(c_11421,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9571,c_69]) ).
tcf(c_11427,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9572,c_69]) ).
tcf(c_11428,plain,
sdtasdt0(sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2315,c_10983]) ).
tcf(c_11434,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10983,c_68]) ).
tcf(c_11436,plain,
sdtasdt0(sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2448,c_10984]) ).
tcf(c_11442,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10984,c_68]) ).
tcf(c_11449,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10985,c_68]) ).
tcf(c_11455,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10988,c_68]) ).
tcf(c_11462,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10989,c_68]) ).
tcf(c_11468,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10990,c_68]) ).
tcf(c_11475,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10991,c_68]) ).
tcf(c_11482,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10992,c_68]) ).
tcf(c_11484,plain,
sdtasdt0(sdtpldt0(xn,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_10803]) ).
tcf(c_11485,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_10803]) ).
tcf(c_11486,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_10803]) ).
tcf(c_11487,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(X1,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_10803]) ).
tcf(c_11488,plain,
sdtasdt0(sdtpldt0(xn,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_10803]) ).
tcf(c_11489,plain,
sdtasdt0(sdtpldt0(xn,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_10803]) ).
tcf(c_11490,plain,
sdtasdt0(sdtpldt0(xn,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_10803]) ).
tcf(c_11493,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5163,c_10803]) ).
tcf(c_11494,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2306,c_10803]) ).
tcf(c_11495,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2439,c_10803]) ).
tcf(c_11496,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3105,c_10803]) ).
tcf(c_11497,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8380,c_10803]) ).
tcf(c_11498,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8616,c_10803]) ).
tcf(c_11499,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4110,c_10803]) ).
tcf(c_11500,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6040,c_10803]) ).
tcf(c_11501,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4519,c_10803]) ).
tcf(c_11502,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6231,c_10803]) ).
tcf(c_11503,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6510,c_10803]) ).
tcf(c_11504,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7084,c_10803]) ).
tcf(c_11505,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7544,c_10803]) ).
tcf(c_11506,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8073,c_10803]) ).
tcf(c_11565,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtasdt0(sdtpldt0(xn,sz00),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11484,c_68]) ).
tcf(c_11572,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtasdt0(sdtpldt0(xn,xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11488,c_68]) ).
tcf(c_11579,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_11489,c_68]) ).
tcf(c_11585,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtasdt0(sdtpldt0(xn,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11490,c_68]) ).
tcf(c_11592,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9573,c_69]) ).
tcf(c_11767,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9995,c_69]) ).
tcf(c_11773,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10002,c_69]) ).
tcf(c_11778,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10993,c_68]) ).
tcf(c_11784,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10994,c_68]) ).
tcf(c_11790,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10995,c_68]) ).
tcf(c_11796,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11031,c_68]) ).
tcf(c_11802,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11219,c_68]) ).
tcf(c_11804,plain,
sdtasdt0(sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2314,c_11220]) ).
tcf(c_11810,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11220,c_68]) ).
tcf(c_11812,plain,
sdtasdt0(sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2447,c_11221]) ).
tcf(c_11818,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11221,c_68]) ).
tcf(c_11825,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11222,c_68]) ).
tcf(c_11827,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_1939]) ).
tcf(c_11828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(X0,X1),X2)) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1939]) ).
tcf(c_11829,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(X0,X1),X2)) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1939]) ).
tcf(c_11830,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtasdt0(sdtsldt0(X1,X0),X2)) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_1939]) ).
tcf(c_11831,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xl,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_1939]) ).
tcf(c_11832,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xm,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_1939]) ).
tcf(c_11833,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xn,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_1939]) ).
tcf(c_11834,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_1939]) ).
tcf(c_11835,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_1939]) ).
tcf(c_11836,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_1939]) ).
tcf(c_11837,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_1939]) ).
tcf(c_11838,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_1939]) ).
tcf(c_11839,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_1939]) ).
tcf(c_11840,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_1939]) ).
tcf(c_11841,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_1939]) ).
tcf(c_11842,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_1939]) ).
tcf(c_11843,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_1939]) ).
tcf(c_11844,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_1939]) ).
tcf(c_11845,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_1939]) ).
tcf(c_11846,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_1939]) ).
tcf(c_11847,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_1939]) ).
tcf(c_11848,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_1939]) ).
tcf(c_11849,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_1939]) ).
tcf(c_11871,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_11827]) ).
tcf(c_11872,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_11827]) ).
tcf(c_11873,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_11827]) ).
tcf(c_11874,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(X1,X0))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_11827]) ).
tcf(c_11878,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_111,c_11827]) ).
tcf(c_11879,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_113,c_11827]) ).
tcf(c_11880,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_11827]) ).
tcf(c_11881,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_11827]) ).
tcf(c_11882,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_11827]) ).
tcf(c_11883,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_11827]) ).
tcf(c_11884,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_11827]) ).
tcf(c_11885,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_11827]) ).
tcf(c_11886,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_11827]) ).
tcf(c_11887,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_11827]) ).
tcf(c_11888,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_11827]) ).
tcf(c_11889,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_11827]) ).
tcf(c_11890,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_11827]) ).
tcf(c_11891,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_11827]) ).
tcf(c_11892,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_11827]) ).
tcf(c_11893,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_11827]) ).
tcf(c_11936,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10106,c_69]) ).
tcf(c_11942,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10113,c_69]) ).
tcf(c_11948,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10164,c_69]) ).
tcf(c_11955,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xl)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10165,c_69]) ).
tcf(c_11963,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_11834]) ).
tcf(c_11964,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_11834]) ).
tcf(c_11965,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_11834]) ).
tcf(c_11966,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_11834]) ).
tcf(c_11967,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_11834]) ).
tcf(c_11968,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xm)) = sz00,
inference(superposition,[status(thm)],[c_102,c_11834]) ).
tcf(c_11969,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xn)) = sz00,
inference(superposition,[status(thm)],[c_103,c_11834]) ).
tcf(c_11970,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_111,c_11834]) ).
tcf(c_11971,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_113,c_11834]) ).
tcf(c_11972,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_11834]) ).
tcf(c_11973,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_11834]) ).
tcf(c_11974,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_11834]) ).
tcf(c_11975,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_11834]) ).
tcf(c_11976,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_11834]) ).
tcf(c_11977,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_11834]) ).
tcf(c_11978,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_11834]) ).
tcf(c_11979,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_11834]) ).
tcf(c_11980,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_11834]) ).
tcf(c_11981,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_11834]) ).
tcf(c_11982,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_11834]) ).
tcf(c_11983,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_11834]) ).
tcf(c_11984,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_11834]) ).
tcf(c_11985,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_11834]) ).
tcf(c_12019,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11970,c_69]) ).
tcf(c_12020,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_2157,c_11971]) ).
tcf(c_12026,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11971,c_69]) ).
tcf(c_12027,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_11835]) ).
tcf(c_12028,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_11835]) ).
tcf(c_12029,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_11835]) ).
tcf(c_12030,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_11835]) ).
tcf(c_12031,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_11835]) ).
tcf(c_12032,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xm)) = sz00,
inference(superposition,[status(thm)],[c_102,c_11835]) ).
tcf(c_12033,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xn)) = sz00,
inference(superposition,[status(thm)],[c_103,c_11835]) ).
tcf(c_12035,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_113,c_11835]) ).
tcf(c_12036,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_11835]) ).
tcf(c_12037,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_11835]) ).
tcf(c_12038,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_11835]) ).
tcf(c_12039,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_11835]) ).
tcf(c_12040,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_11835]) ).
tcf(c_12041,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_11835]) ).
tcf(c_12042,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_11835]) ).
tcf(c_12043,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_11835]) ).
tcf(c_12044,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_11835]) ).
tcf(c_12045,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_11835]) ).
tcf(c_12046,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_11835]) ).
tcf(c_12047,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_11835]) ).
tcf(c_12048,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_11835]) ).
tcf(c_12049,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_11835]) ).
tcf(c_12083,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12035,c_69]) ).
tcf(c_12092,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_2153,c_11967]) ).
tcf(c_12098,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xl))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_11967,c_69]) ).
tcf(c_12099,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_2154,c_11968]) ).
tcf(c_12105,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xm))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_11968,c_69]) ).
tcf(c_12167,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_2155,c_11969]) ).
tcf(c_12173,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xn))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_11969,c_69]) ).
tcf(c_12182,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_2163,c_12031]) ).
tcf(c_12188,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xl))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12031,c_69]) ).
tcf(c_12195,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xm)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10166,c_69]) ).
tcf(c_12202,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xn)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10167,c_69]) ).
tcf(c_12208,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10170,c_69]) ).
tcf(c_12215,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xl)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10171,c_69]) ).
tcf(c_12216,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_2164,c_12032]) ).
tcf(c_12222,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xm))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12032,c_69]) ).
tcf(c_12223,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_2165,c_12033]) ).
tcf(c_12229,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xn))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12033,c_69]) ).
tcf(c_12234,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11225,c_68]) ).
tcf(c_12241,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11226,c_68]) ).
tcf(c_12247,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11227,c_68]) ).
tcf(c_12254,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11228,c_68]) ).
tcf(c_12261,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11229,c_68]) ).
tcf(c_12267,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11230,c_68]) ).
tcf(c_12269,plain,
sdtasdt0(sz00,sdtasdt0(xl,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_11831]) ).
tcf(c_12270,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_11831]) ).
tcf(c_12271,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_11831]) ).
tcf(c_12272,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(X1,X0))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_11831]) ).
tcf(c_12273,plain,
sdtasdt0(sz00,sdtasdt0(xl,xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_11831]) ).
tcf(c_12278,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_11831]) ).
tcf(c_12279,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_11831]) ).
tcf(c_12280,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_11831]) ).
tcf(c_12281,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_11831]) ).
tcf(c_12282,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_11831]) ).
tcf(c_12283,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_11831]) ).
tcf(c_12284,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_11831]) ).
tcf(c_12285,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_11831]) ).
tcf(c_12286,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_11831]) ).
tcf(c_12287,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_11831]) ).
tcf(c_12288,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_11831]) ).
tcf(c_12289,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_11831]) ).
tcf(c_12290,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_11831]) ).
tcf(c_12291,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_11831]) ).
tcf(c_12378,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xl))
| ( sdtasdt0(X0,sdtasdt0(xl,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12273,c_69]) ).
tcf(c_12379,plain,
sdtasdt0(sz00,sdtasdt0(xm,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_11832]) ).
tcf(c_12380,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_11832]) ).
tcf(c_12381,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_11832]) ).
tcf(c_12382,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(X1,X0))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_11832]) ).
tcf(c_12383,plain,
sdtasdt0(sz00,sdtasdt0(xm,xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_11832]) ).
tcf(c_12384,plain,
sdtasdt0(sz00,sdtasdt0(xm,xm)) = sz00,
inference(superposition,[status(thm)],[c_102,c_11832]) ).
tcf(c_12388,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_11832]) ).
tcf(c_12389,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_11832]) ).
tcf(c_12390,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_11832]) ).
tcf(c_12391,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_11832]) ).
tcf(c_12392,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_11832]) ).
tcf(c_12393,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_11832]) ).
tcf(c_12394,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_11832]) ).
tcf(c_12395,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_11832]) ).
tcf(c_12396,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_11832]) ).
tcf(c_12397,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_11832]) ).
tcf(c_12398,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_11832]) ).
tcf(c_12399,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_11832]) ).
tcf(c_12400,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_11832]) ).
tcf(c_12401,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_11832]) ).
tcf(c_12478,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xl))
| ( sdtasdt0(X0,sdtasdt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12383,c_69]) ).
tcf(c_12484,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ( sdtasdt0(X0,sdtasdt0(xm,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12384,c_69]) ).
tcf(c_12490,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10172,c_69]) ).
tcf(c_12511,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11231,c_68]) ).
tcf(c_12517,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11232,c_68]) ).
tcf(c_12524,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11972,c_69]) ).
tcf(c_12525,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_2313,c_11973]) ).
tcf(c_12532,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11973,c_69]) ).
tcf(c_12533,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_2446,c_11974]) ).
tcf(c_12540,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11974,c_69]) ).
tcf(c_12547,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11975,c_69]) ).
tcf(c_12553,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11978,c_69]) ).
tcf(c_12560,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11979,c_69]) ).
tcf(c_12577,plain,
sdtasdt0(sz00,sdtasdt0(xn,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_11833]) ).
tcf(c_12578,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_11833]) ).
tcf(c_12579,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_11833]) ).
tcf(c_12580,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(X1,X0))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_11833]) ).
tcf(c_12581,plain,
sdtasdt0(sz00,sdtasdt0(xn,xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_11833]) ).
tcf(c_12582,plain,
sdtasdt0(sz00,sdtasdt0(xn,xm)) = sz00,
inference(superposition,[status(thm)],[c_102,c_11833]) ).
tcf(c_12583,plain,
sdtasdt0(sz00,sdtasdt0(xn,xn)) = sz00,
inference(superposition,[status(thm)],[c_103,c_11833]) ).
tcf(c_12586,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_11833]) ).
tcf(c_12587,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_11833]) ).
tcf(c_12588,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_11833]) ).
tcf(c_12589,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_11833]) ).
tcf(c_12590,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_11833]) ).
tcf(c_12591,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_11833]) ).
tcf(c_12592,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_11833]) ).
tcf(c_12593,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_11833]) ).
tcf(c_12594,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_11833]) ).
tcf(c_12595,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_11833]) ).
tcf(c_12596,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_11833]) ).
tcf(c_12597,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_11833]) ).
tcf(c_12598,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_11833]) ).
tcf(c_12599,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_11833]) ).
tcf(c_12660,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xl))
| ( sdtasdt0(X0,sdtasdt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12581,c_69]) ).
tcf(c_12667,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_12582,c_69]) ).
tcf(c_12673,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtasdt0(X0,sdtasdt0(xn,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_12583,c_69]) ).
tcf(c_12680,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xm)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10173,c_69]) ).
tcf(c_12687,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xn)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10174,c_69]) ).
tcf(c_12693,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10175,c_69]) ).
tcf(c_12699,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11980,c_69]) ).
tcf(c_12706,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11981,c_69]) ).
tcf(c_12749,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11982,c_69]) ).
tcf(c_12755,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11983,c_69]) ).
tcf(c_12761,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11984,c_69]) ).
tcf(c_12767,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11985,c_69]) ).
tcf(c_12787,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12020,c_69]) ).
tcf(c_12793,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12036,c_69]) ).
tcf(c_12794,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_1940]) ).
tcf(c_12795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1940]) ).
tcf(c_12796,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1940]) ).
tcf(c_12797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(X1,X0),X2),sz00) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_1940]) ).
tcf(c_12798,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_1940]) ).
tcf(c_12799,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_1940]) ).
tcf(c_12800,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_1940]) ).
tcf(c_12801,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_1940]) ).
tcf(c_12802,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_1940]) ).
tcf(c_12803,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_1940]) ).
tcf(c_12804,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_1940]) ).
tcf(c_12805,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_1940]) ).
tcf(c_12806,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_1940]) ).
tcf(c_12807,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_1940]) ).
tcf(c_12808,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_1940]) ).
tcf(c_12809,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_1940]) ).
tcf(c_12810,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_1940]) ).
tcf(c_12811,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_1940]) ).
tcf(c_12812,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_1940]) ).
tcf(c_12813,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_1940]) ).
tcf(c_12814,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_1940]) ).
tcf(c_12815,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_1940]) ).
tcf(c_12816,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_1940]) ).
tcf(c_12895,plain,
sdtasdt0(sdtasdt0(sz00,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_12794]) ).
tcf(c_12896,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_12794]) ).
tcf(c_12897,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_12794]) ).
tcf(c_12898,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sz00,sdtsldt0(X1,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_12794]) ).
tcf(c_12902,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_111,c_12794]) ).
tcf(c_12903,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_113,c_12794]) ).
tcf(c_12904,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5163,c_12794]) ).
tcf(c_12905,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2306,c_12794]) ).
tcf(c_12906,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2439,c_12794]) ).
tcf(c_12907,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3105,c_12794]) ).
tcf(c_12908,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8380,c_12794]) ).
tcf(c_12909,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8616,c_12794]) ).
tcf(c_12910,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4110,c_12794]) ).
tcf(c_12911,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6040,c_12794]) ).
tcf(c_12912,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4519,c_12794]) ).
tcf(c_12913,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6231,c_12794]) ).
tcf(c_12914,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6510,c_12794]) ).
tcf(c_12915,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7084,c_12794]) ).
tcf(c_12916,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7544,c_12794]) ).
tcf(c_12917,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8073,c_12794]) ).
tcf(c_12989,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10176,c_69]) ).
tcf(c_12995,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10177,c_69]) ).
tcf(c_13001,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10369,c_69]) ).
tcf(c_13008,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xl)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10370,c_69]) ).
tcf(c_13020,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_12801]) ).
tcf(c_13021,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_12801]) ).
tcf(c_13022,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_12801]) ).
tcf(c_13023,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_12801]) ).
tcf(c_13024,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_12801]) ).
tcf(c_13025,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_12801]) ).
tcf(c_13026,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_12801]) ).
tcf(c_13027,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_111,c_12801]) ).
tcf(c_13028,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_113,c_12801]) ).
tcf(c_13029,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5163,c_12801]) ).
tcf(c_13030,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2306,c_12801]) ).
tcf(c_13031,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2439,c_12801]) ).
tcf(c_13032,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3105,c_12801]) ).
tcf(c_13033,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8380,c_12801]) ).
tcf(c_13034,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8616,c_12801]) ).
tcf(c_13035,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4110,c_12801]) ).
tcf(c_13036,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6040,c_12801]) ).
tcf(c_13037,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4519,c_12801]) ).
tcf(c_13038,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6231,c_12801]) ).
tcf(c_13039,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6510,c_12801]) ).
tcf(c_13040,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7084,c_12801]) ).
tcf(c_13041,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7544,c_12801]) ).
tcf(c_13042,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8073,c_12801]) ).
tcf(c_13123,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13027,c_68]) ).
tcf(c_13125,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2157,c_13028]) ).
tcf(c_13130,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13028,c_68]) ).
tcf(c_13132,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_12802]) ).
tcf(c_13133,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_12802]) ).
tcf(c_13134,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_12802]) ).
tcf(c_13135,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_12802]) ).
tcf(c_13136,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_12802]) ).
tcf(c_13137,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_12802]) ).
tcf(c_13138,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_12802]) ).
tcf(c_13140,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_113,c_12802]) ).
tcf(c_13141,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5163,c_12802]) ).
tcf(c_13142,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2306,c_12802]) ).
tcf(c_13143,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2439,c_12802]) ).
tcf(c_13144,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3105,c_12802]) ).
tcf(c_13145,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8380,c_12802]) ).
tcf(c_13146,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8616,c_12802]) ).
tcf(c_13147,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4110,c_12802]) ).
tcf(c_13148,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6040,c_12802]) ).
tcf(c_13149,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4519,c_12802]) ).
tcf(c_13150,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6231,c_12802]) ).
tcf(c_13151,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6510,c_12802]) ).
tcf(c_13152,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7084,c_12802]) ).
tcf(c_13153,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7544,c_12802]) ).
tcf(c_13154,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8073,c_12802]) ).
tcf(c_13215,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13140,c_68]) ).
tcf(c_13225,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2153,c_13024]) ).
tcf(c_13230,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xl))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13024,c_68]) ).
tcf(c_13232,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2154,c_13025]) ).
tcf(c_13237,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xm))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13025,c_68]) ).
tcf(c_13239,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2155,c_13026]) ).
tcf(c_13244,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xn))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13026,c_68]) ).
tcf(c_13254,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2163,c_13136]) ).
tcf(c_13259,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xl))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13136,c_68]) ).
tcf(c_13325,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xm)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10371,c_69]) ).
tcf(c_13332,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xn)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10372,c_69]) ).
tcf(c_13338,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10375,c_69]) ).
tcf(c_13345,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xl)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10376,c_69]) ).
tcf(c_13346,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2164,c_13137]) ).
tcf(c_13351,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xm))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13137,c_68]) ).
tcf(c_13353,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2165,c_13138]) ).
tcf(c_13358,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xn))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13138,c_68]) ).
tcf(c_13360,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_2312,c_12037]) ).
tcf(c_13367,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12037,c_69]) ).
tcf(c_13368,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_2445,c_12038]) ).
tcf(c_13375,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12038,c_69]) ).
tcf(c_13382,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12039,c_69]) ).
tcf(c_13388,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12042,c_69]) ).
tcf(c_13395,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12043,c_69]) ).
tcf(c_13401,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12044,c_69]) ).
tcf(c_13402,plain,
sdtasdt0(sdtasdt0(xl,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_12798]) ).
tcf(c_13403,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_12798]) ).
tcf(c_13404,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_12798]) ).
tcf(c_13405,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(xl,sdtsldt0(X1,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_12798]) ).
tcf(c_13406,plain,
sdtasdt0(sdtasdt0(xl,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_12798]) ).
tcf(c_13411,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5163,c_12798]) ).
tcf(c_13412,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2306,c_12798]) ).
tcf(c_13413,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2439,c_12798]) ).
tcf(c_13414,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3105,c_12798]) ).
tcf(c_13415,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8380,c_12798]) ).
tcf(c_13416,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8616,c_12798]) ).
tcf(c_13417,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4110,c_12798]) ).
tcf(c_13418,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6040,c_12798]) ).
tcf(c_13419,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4519,c_12798]) ).
tcf(c_13420,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6231,c_12798]) ).
tcf(c_13421,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6510,c_12798]) ).
tcf(c_13422,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7084,c_12798]) ).
tcf(c_13423,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7544,c_12798]) ).
tcf(c_13424,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8073,c_12798]) ).
tcf(c_13531,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xl))
| ( sdtasdt0(sdtasdt0(xl,xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13406,c_68]) ).
tcf(c_13533,plain,
sdtasdt0(sdtasdt0(xm,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_12799]) ).
tcf(c_13534,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_12799]) ).
tcf(c_13535,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_12799]) ).
tcf(c_13536,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(xm,sdtsldt0(X1,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_12799]) ).
tcf(c_13537,plain,
sdtasdt0(sdtasdt0(xm,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_12799]) ).
tcf(c_13538,plain,
sdtasdt0(sdtasdt0(xm,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_12799]) ).
tcf(c_13542,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5163,c_12799]) ).
tcf(c_13543,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2306,c_12799]) ).
tcf(c_13544,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2439,c_12799]) ).
tcf(c_13545,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3105,c_12799]) ).
tcf(c_13546,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8380,c_12799]) ).
tcf(c_13547,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8616,c_12799]) ).
tcf(c_13548,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4110,c_12799]) ).
tcf(c_13549,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6040,c_12799]) ).
tcf(c_13550,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4519,c_12799]) ).
tcf(c_13551,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6231,c_12799]) ).
tcf(c_13552,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6510,c_12799]) ).
tcf(c_13553,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7084,c_12799]) ).
tcf(c_13554,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7544,c_12799]) ).
tcf(c_13555,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8073,c_12799]) ).
tcf(c_13603,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xl))
| ( sdtasdt0(sdtasdt0(xm,xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13537,c_68]) ).
tcf(c_13609,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ( sdtasdt0(sdtasdt0(xm,xm),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13538,c_68]) ).
tcf(c_13616,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10377,c_69]) ).
tcf(c_13623,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12045,c_69]) ).
tcf(c_13630,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12046,c_69]) ).
tcf(c_13636,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12047,c_69]) ).
tcf(c_13642,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12048,c_69]) ).
tcf(c_13648,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12049,c_69]) ).
tcf(c_13653,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13029,c_68]) ).
tcf(c_13687,plain,
sdtasdt0(sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2313,c_13030]) ).
tcf(c_13693,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13030,c_68]) ).
tcf(c_13695,plain,
sdtasdt0(sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2446,c_13031]) ).
tcf(c_13701,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13031,c_68]) ).
tcf(c_13703,plain,
sdtasdt0(sdtasdt0(xn,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_12800]) ).
tcf(c_13704,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_12800]) ).
tcf(c_13705,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_12800]) ).
tcf(c_13706,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtasdt0(xn,sdtsldt0(X1,X0)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_12800]) ).
tcf(c_13707,plain,
sdtasdt0(sdtasdt0(xn,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_12800]) ).
tcf(c_13708,plain,
sdtasdt0(sdtasdt0(xn,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_12800]) ).
tcf(c_13709,plain,
sdtasdt0(sdtasdt0(xn,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_12800]) ).
tcf(c_13712,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5163,c_12800]) ).
tcf(c_13713,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2306,c_12800]) ).
tcf(c_13714,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2439,c_12800]) ).
tcf(c_13715,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3105,c_12800]) ).
tcf(c_13716,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8380,c_12800]) ).
tcf(c_13717,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8616,c_12800]) ).
tcf(c_13718,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4110,c_12800]) ).
tcf(c_13719,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6040,c_12800]) ).
tcf(c_13720,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4519,c_12800]) ).
tcf(c_13721,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6231,c_12800]) ).
tcf(c_13722,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6510,c_12800]) ).
tcf(c_13723,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7084,c_12800]) ).
tcf(c_13724,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7544,c_12800]) ).
tcf(c_13725,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8073,c_12800]) ).
tcf(c_13787,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xl))
| ( sdtasdt0(sdtasdt0(xn,xl),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13707,c_68]) ).
tcf(c_13794,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_13708,c_68]) ).
tcf(c_13800,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtasdt0(sdtasdt0(xn,xn),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13709,c_68]) ).
tcf(c_13808,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xm)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10378,c_69]) ).
tcf(c_13815,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xn)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10379,c_69]) ).
tcf(c_13821,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10380,c_69]) ).
tcf(c_13827,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13032,c_68]) ).
tcf(c_13833,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13035,c_68]) ).
tcf(c_13840,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13036,c_68]) ).
tcf(c_13849,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13037,c_68]) ).
tcf(c_13885,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13038,c_68]) ).
tcf(c_13892,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13039,c_68]) ).
tcf(c_13898,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13040,c_68]) ).
tcf(c_13926,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13041,c_68]) ).
tcf(c_13928,plain,
aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(global_subsumption_just,[status(thm)],[c_7473,c_101,c_111,c_7473]) ).
tcf(c_13930,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13928,c_12800]) ).
tcf(c_13931,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13928,c_12799]) ).
tcf(c_13932,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13928,c_12798]) ).
tcf(c_13933,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13928,c_12802]) ).
tcf(c_13934,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13928,c_12801]) ).
tcf(c_13935,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13928,c_12794]) ).
tcf(c_13936,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_1940]) ).
tcf(c_13937,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_11833]) ).
tcf(c_13938,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_11832]) ).
tcf(c_13939,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_11831]) ).
tcf(c_13940,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_11835]) ).
tcf(c_13941,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_11834]) ).
tcf(c_13942,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_11827]) ).
tcf(c_13943,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_1939]) ).
tcf(c_13944,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13928,c_10803]) ).
tcf(c_13945,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13928,c_10802]) ).
tcf(c_13946,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13928,c_10805]) ).
tcf(c_13947,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13928,c_10804]) ).
tcf(c_13948,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13928,c_10801]) ).
tcf(c_13949,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13928,c_10797]) ).
tcf(c_13950,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_1926]) ).
tcf(c_13951,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_9189]) ).
tcf(c_13952,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_9188]) ).
tcf(c_13953,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_9191]) ).
tcf(c_13954,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_9190]) ).
tcf(c_13955,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_9187]) ).
tcf(c_13956,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_9183]) ).
tcf(c_13957,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_1925]) ).
tcf(c_13958,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_2009]) ).
tcf(c_13959,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_2008]) ).
tcf(c_13960,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_2007]) ).
tcf(c_13961,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_2004]) ).
tcf(c_13962,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_13928,c_5044]) ).
tcf(c_13963,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_13928,c_5043]) ).
tcf(c_13964,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_13928,c_4926]) ).
tcf(c_13965,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_13928,c_4925]) ).
tcf(c_13966,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_13928,c_4833]) ).
tcf(c_13967,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_13928,c_4832]) ).
tcf(c_13968,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_13928,c_4774]) ).
tcf(c_13969,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_13928,c_4773]) ).
tcf(c_13970,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_1972]) ).
tcf(c_13971,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_1971]) ).
tcf(c_13972,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_3527]) ).
tcf(c_13973,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_3526]) ).
tcf(c_13974,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_3478]) ).
tcf(c_13975,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_3477]) ).
tcf(c_13976,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_1970]) ).
tcf(c_13977,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_13928,c_2777]) ).
tcf(c_13978,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_13928,c_2776]) ).
tcf(c_13979,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtsldt0(xn,xl))),sdtasdt0(X1,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_65]) ).
tcf(c_13980,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0),sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X1)) = sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_64]) ).
tcf(c_13981,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_13928,c_2727]) ).
tcf(c_13982,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_13928,c_2726]) ).
tcf(c_13983,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_13928,c_2654]) ).
tcf(c_13984,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_13928,c_2653]) ).
tcf(c_13985,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_13928,c_2626]) ).
tcf(c_13986,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_13928,c_2625]) ).
tcf(c_13987,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_2298]) ).
tcf(c_13988,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_2297]) ).
tcf(c_13989,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_2258]) ).
tcf(c_13990,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_2257]) ).
tcf(c_13991,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)) = sdtpldt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_13928,c_2224]) ).
tcf(c_13992,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)) = sdtpldt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_13928,c_2223]) ).
tcf(c_13993,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_59]) ).
tcf(c_13994,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_55]) ).
tcf(c_13995,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtsldt0(xn,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0),sdtpldt0(xl,sdtsldt0(xn,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_161]) ).
tcf(c_13996,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_2011]) ).
tcf(c_13997,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_2010]) ).
tcf(c_13998,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_1974]) ).
tcf(c_13999,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_1973]) ).
tcf(c_14000,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_1967]) ).
tcf(c_14001,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_58]) ).
tcf(c_14002,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_54]) ).
tcf(c_14005,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))) = sdtpldt0(xl,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_13928,c_57]) ).
tcf(c_14006,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sz00) = sdtpldt0(xl,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_13928,c_56]) ).
tcf(c_14276,plain,
aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(global_subsumption_just,[status(thm)],[c_7525,c_102,c_111,c_7525]) ).
tcf(c_14278,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14276,c_12800]) ).
tcf(c_14279,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14276,c_12799]) ).
tcf(c_14280,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14276,c_12798]) ).
tcf(c_14281,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14276,c_12802]) ).
tcf(c_14282,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14276,c_12801]) ).
tcf(c_14283,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14276,c_12794]) ).
tcf(c_14284,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_1940]) ).
tcf(c_14285,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_11833]) ).
tcf(c_14286,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_11832]) ).
tcf(c_14287,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_11831]) ).
tcf(c_14288,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_11835]) ).
tcf(c_14289,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_11834]) ).
tcf(c_14290,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_11827]) ).
tcf(c_14291,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_1939]) ).
tcf(c_14292,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14276,c_10803]) ).
tcf(c_14293,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14276,c_10802]) ).
tcf(c_14294,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14276,c_10805]) ).
tcf(c_14295,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14276,c_10804]) ).
tcf(c_14296,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14276,c_10801]) ).
tcf(c_14297,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14276,c_10797]) ).
tcf(c_14298,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_1926]) ).
tcf(c_14299,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_9189]) ).
tcf(c_14300,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_9188]) ).
tcf(c_14301,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_9191]) ).
tcf(c_14302,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_9190]) ).
tcf(c_14303,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_9187]) ).
tcf(c_14304,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_9183]) ).
tcf(c_14305,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_1925]) ).
tcf(c_14306,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_2009]) ).
tcf(c_14307,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_2008]) ).
tcf(c_14308,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_2007]) ).
tcf(c_14309,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_2004]) ).
tcf(c_14310,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_14276,c_5044]) ).
tcf(c_14311,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_14276,c_5043]) ).
tcf(c_14312,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_14276,c_4926]) ).
tcf(c_14313,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_14276,c_4925]) ).
tcf(c_14314,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14276,c_4833]) ).
tcf(c_14315,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14276,c_4832]) ).
tcf(c_14316,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14276,c_4774]) ).
tcf(c_14317,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14276,c_4773]) ).
tcf(c_14318,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_1972]) ).
tcf(c_14319,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_1971]) ).
tcf(c_14320,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_3527]) ).
tcf(c_14321,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_3526]) ).
tcf(c_14322,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_3478]) ).
tcf(c_14323,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_3477]) ).
tcf(c_14324,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_1970]) ).
tcf(c_14325,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xm,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14276,c_2777]) ).
tcf(c_14326,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14276,c_2776]) ).
tcf(c_14327,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtsldt0(xn,xl))),sdtasdt0(X1,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_65]) ).
tcf(c_14328,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0),sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X1)) = sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_64]) ).
tcf(c_14329,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xm,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14276,c_2727]) ).
tcf(c_14330,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14276,c_2726]) ).
tcf(c_14331,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xm,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14276,c_2654]) ).
tcf(c_14332,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14276,c_2653]) ).
tcf(c_14333,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xm,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14276,c_2626]) ).
tcf(c_14334,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14276,c_2625]) ).
tcf(c_14335,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_2298]) ).
tcf(c_14336,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_2297]) ).
tcf(c_14337,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_2258]) ).
tcf(c_14338,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_2257]) ).
tcf(c_14339,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)) = sdtpldt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14276,c_2224]) ).
tcf(c_14340,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)) = sdtpldt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14276,c_2223]) ).
tcf(c_14341,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_59]) ).
tcf(c_14342,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_55]) ).
tcf(c_14343,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtsldt0(xn,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0),sdtpldt0(xm,sdtsldt0(xn,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_161]) ).
tcf(c_14344,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_2011]) ).
tcf(c_14345,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_2010]) ).
tcf(c_14346,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_1974]) ).
tcf(c_14347,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_1973]) ).
tcf(c_14348,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_1967]) ).
tcf(c_14349,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_58]) ).
tcf(c_14350,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_54]) ).
tcf(c_14353,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))) = sdtpldt0(xm,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_14276,c_57]) ).
tcf(c_14354,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sz00) = sdtpldt0(xm,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_14276,c_56]) ).
tcf(c_14564,plain,
aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(global_subsumption_just,[status(thm)],[c_7946,c_103,c_111,c_7946]) ).
tcf(c_14566,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14564,c_12800]) ).
tcf(c_14567,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14564,c_12799]) ).
tcf(c_14568,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14564,c_12798]) ).
tcf(c_14569,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14564,c_12802]) ).
tcf(c_14570,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14564,c_12801]) ).
tcf(c_14571,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14564,c_12794]) ).
tcf(c_14572,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_1940]) ).
tcf(c_14573,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_11833]) ).
tcf(c_14574,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_11832]) ).
tcf(c_14575,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_11831]) ).
tcf(c_14576,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_11835]) ).
tcf(c_14577,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_11834]) ).
tcf(c_14578,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_11827]) ).
tcf(c_14579,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_1939]) ).
tcf(c_14580,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14564,c_10803]) ).
tcf(c_14581,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14564,c_10802]) ).
tcf(c_14582,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14564,c_10805]) ).
tcf(c_14583,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14564,c_10804]) ).
tcf(c_14584,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14564,c_10801]) ).
tcf(c_14585,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14564,c_10797]) ).
tcf(c_14586,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_1926]) ).
tcf(c_14587,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_9189]) ).
tcf(c_14588,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_9188]) ).
tcf(c_14589,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_9191]) ).
tcf(c_14590,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_9190]) ).
tcf(c_14591,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_9187]) ).
tcf(c_14592,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_9183]) ).
tcf(c_14593,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_1925]) ).
tcf(c_14594,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_2009]) ).
tcf(c_14595,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_2008]) ).
tcf(c_14596,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_2007]) ).
tcf(c_14597,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_2004]) ).
tcf(c_14598,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_14564,c_5044]) ).
tcf(c_14599,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_14564,c_5043]) ).
tcf(c_14600,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_14564,c_4926]) ).
tcf(c_14601,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_14564,c_4925]) ).
tcf(c_14602,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14564,c_4833]) ).
tcf(c_14603,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14564,c_4832]) ).
tcf(c_14604,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14564,c_4774]) ).
tcf(c_14605,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14564,c_4773]) ).
tcf(c_14606,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_1972]) ).
tcf(c_14607,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_1971]) ).
tcf(c_14608,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_3527]) ).
tcf(c_14609,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_3526]) ).
tcf(c_14610,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_3478]) ).
tcf(c_14611,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_3477]) ).
tcf(c_14612,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_1970]) ).
tcf(c_14613,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xn,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14564,c_2777]) ).
tcf(c_14614,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xn,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14564,c_2776]) ).
tcf(c_14615,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xl))),sdtasdt0(X1,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_65]) ).
tcf(c_14616,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X1)) = sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_64]) ).
tcf(c_14617,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xn,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14564,c_2727]) ).
tcf(c_14618,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xn,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14564,c_2726]) ).
tcf(c_14619,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xn,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14564,c_2654]) ).
tcf(c_14620,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xn,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14564,c_2653]) ).
tcf(c_14621,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xn,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14564,c_2626]) ).
tcf(c_14622,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xn,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_14564,c_2625]) ).
tcf(c_14623,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_2298]) ).
tcf(c_14624,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_2297]) ).
tcf(c_14625,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_2258]) ).
tcf(c_14626,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_2257]) ).
tcf(c_14627,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)) = sdtpldt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14564,c_2224]) ).
tcf(c_14628,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)) = sdtpldt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14564,c_2223]) ).
tcf(c_14629,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_59]) ).
tcf(c_14630,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_55]) ).
tcf(c_14631,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtsldt0(xn,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0),sdtpldt0(xn,sdtsldt0(xn,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_161]) ).
tcf(c_14632,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_2011]) ).
tcf(c_14633,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_2010]) ).
tcf(c_14634,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_1974]) ).
tcf(c_14635,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_1973]) ).
tcf(c_14636,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_1967]) ).
tcf(c_14637,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_58]) ).
tcf(c_14638,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_54]) ).
tcf(c_14641,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))) = sdtpldt0(xn,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_14564,c_57]) ).
tcf(c_14642,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sz00) = sdtpldt0(xn,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_14564,c_56]) ).
tcf(c_14885,plain,
aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_7955,c_101,c_113,c_7955]) ).
tcf(c_14887,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14885,c_12800]) ).
tcf(c_14888,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14885,c_12799]) ).
tcf(c_14889,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14885,c_12798]) ).
tcf(c_14890,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14885,c_12802]) ).
tcf(c_14891,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14885,c_12801]) ).
tcf(c_14892,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14885,c_12794]) ).
tcf(c_14893,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_1940]) ).
tcf(c_14894,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_11833]) ).
tcf(c_14895,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_11832]) ).
tcf(c_14896,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_11831]) ).
tcf(c_14897,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_11835]) ).
tcf(c_14898,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_11834]) ).
tcf(c_14899,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_11827]) ).
tcf(c_14900,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_1939]) ).
tcf(c_14901,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14885,c_10803]) ).
tcf(c_14902,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14885,c_10802]) ).
tcf(c_14903,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14885,c_10805]) ).
tcf(c_14904,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14885,c_10804]) ).
tcf(c_14905,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14885,c_10801]) ).
tcf(c_14906,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14885,c_10797]) ).
tcf(c_14907,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_1926]) ).
tcf(c_14908,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_9189]) ).
tcf(c_14909,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_9188]) ).
tcf(c_14910,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_9191]) ).
tcf(c_14911,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_9190]) ).
tcf(c_14912,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_9187]) ).
tcf(c_14913,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_9183]) ).
tcf(c_14914,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_1925]) ).
tcf(c_14915,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_2009]) ).
tcf(c_14916,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_2008]) ).
tcf(c_14917,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_2007]) ).
tcf(c_14918,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_2004]) ).
tcf(c_14919,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_14885,c_5044]) ).
tcf(c_14920,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_14885,c_5043]) ).
tcf(c_14921,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_14885,c_4926]) ).
tcf(c_14922,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_14885,c_4925]) ).
tcf(c_14923,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_14885,c_4833]) ).
tcf(c_14924,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_14885,c_4832]) ).
tcf(c_14925,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_14885,c_4774]) ).
tcf(c_14926,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_14885,c_4773]) ).
tcf(c_14927,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_1972]) ).
tcf(c_14928,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_1971]) ).
tcf(c_14929,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_3527]) ).
tcf(c_14930,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_3526]) ).
tcf(c_14931,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_3478]) ).
tcf(c_14932,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_3477]) ).
tcf(c_14933,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_1970]) ).
tcf(c_14934,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_14885,c_2777]) ).
tcf(c_14935,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_14885,c_2776]) ).
tcf(c_14936,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtsldt0(xm,xl))),sdtasdt0(X1,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_65]) ).
tcf(c_14937,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0),sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X1)) = sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_64]) ).
tcf(c_14938,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_14885,c_2727]) ).
tcf(c_14939,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_14885,c_2726]) ).
tcf(c_14940,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_14885,c_2654]) ).
tcf(c_14941,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_14885,c_2653]) ).
tcf(c_14942,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_14885,c_2626]) ).
tcf(c_14943,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_14885,c_2625]) ).
tcf(c_14944,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_2298]) ).
tcf(c_14945,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_2297]) ).
tcf(c_14946,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_2258]) ).
tcf(c_14947,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_2257]) ).
tcf(c_14948,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)) = sdtpldt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_14885,c_2224]) ).
tcf(c_14949,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)) = sdtpldt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_14885,c_2223]) ).
tcf(c_14950,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_59]) ).
tcf(c_14951,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_55]) ).
tcf(c_14952,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtsldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0),sdtpldt0(xl,sdtsldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_161]) ).
tcf(c_14953,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_2011]) ).
tcf(c_14954,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_2010]) ).
tcf(c_14955,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_1974]) ).
tcf(c_14956,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_1973]) ).
tcf(c_14957,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_1967]) ).
tcf(c_14958,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_58]) ).
tcf(c_14959,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_54]) ).
tcf(c_14962,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))) = sdtpldt0(xl,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_14885,c_57]) ).
tcf(c_14963,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sz00) = sdtpldt0(xl,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_14885,c_56]) ).
tcf(c_15152,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xn)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10381,c_69]) ).
tcf(c_15177,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,xn)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10382,c_69]) ).
tcf(c_15183,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10850,c_68]) ).
tcf(c_15191,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xl)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10851,c_68]) ).
tcf(c_15197,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13042,c_68]) ).
tcf(c_15203,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13125,c_68]) ).
tcf(c_15209,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13141,c_68]) ).
tcf(c_15211,plain,
sdtasdt0(sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2312,c_13142]) ).
tcf(c_15217,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13142,c_68]) ).
tcf(c_15219,plain,
sdtasdt0(sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2445,c_13143]) ).
tcf(c_15225,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13143,c_68]) ).
tcf(c_15251,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13144,c_68]) ).
tcf(c_15257,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13147,c_68]) ).
tcf(c_15264,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13148,c_68]) ).
tcf(c_15266,plain,
aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_7964,c_102,c_113,c_7964]) ).
tcf(c_15268,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15266,c_12800]) ).
tcf(c_15269,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15266,c_12799]) ).
tcf(c_15270,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15266,c_12798]) ).
tcf(c_15271,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15266,c_12802]) ).
tcf(c_15272,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15266,c_12801]) ).
tcf(c_15273,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15266,c_12794]) ).
tcf(c_15274,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_1940]) ).
tcf(c_15275,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_11833]) ).
tcf(c_15276,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_11832]) ).
tcf(c_15277,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_11831]) ).
tcf(c_15278,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_11835]) ).
tcf(c_15279,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_11834]) ).
tcf(c_15280,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_11827]) ).
tcf(c_15281,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_1939]) ).
tcf(c_15282,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15266,c_10803]) ).
tcf(c_15283,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15266,c_10802]) ).
tcf(c_15284,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15266,c_10805]) ).
tcf(c_15285,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15266,c_10804]) ).
tcf(c_15286,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15266,c_10801]) ).
tcf(c_15287,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15266,c_10797]) ).
tcf(c_15288,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_1926]) ).
tcf(c_15289,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_9189]) ).
tcf(c_15290,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_9188]) ).
tcf(c_15291,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_9191]) ).
tcf(c_15292,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_9190]) ).
tcf(c_15293,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_9187]) ).
tcf(c_15294,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_9183]) ).
tcf(c_15295,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_1925]) ).
tcf(c_15296,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_2009]) ).
tcf(c_15297,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_2008]) ).
tcf(c_15298,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_2007]) ).
tcf(c_15299,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_2004]) ).
tcf(c_15300,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_15266,c_5044]) ).
tcf(c_15301,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_15266,c_5043]) ).
tcf(c_15302,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_15266,c_4926]) ).
tcf(c_15303,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_15266,c_4925]) ).
tcf(c_15304,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15266,c_4833]) ).
tcf(c_15305,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15266,c_4832]) ).
tcf(c_15306,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15266,c_4774]) ).
tcf(c_15307,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15266,c_4773]) ).
tcf(c_15308,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_1972]) ).
tcf(c_15309,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_1971]) ).
tcf(c_15310,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_3527]) ).
tcf(c_15311,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_3526]) ).
tcf(c_15312,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_3478]) ).
tcf(c_15313,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_3477]) ).
tcf(c_15314,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_1970]) ).
tcf(c_15315,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xm,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15266,c_2777]) ).
tcf(c_15316,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15266,c_2776]) ).
tcf(c_15317,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtsldt0(xm,xl))),sdtasdt0(X1,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_65]) ).
tcf(c_15318,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0),sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X1)) = sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_64]) ).
tcf(c_15319,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xm,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15266,c_2727]) ).
tcf(c_15320,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15266,c_2726]) ).
tcf(c_15321,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xm,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15266,c_2654]) ).
tcf(c_15322,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15266,c_2653]) ).
tcf(c_15323,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xm,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15266,c_2626]) ).
tcf(c_15324,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15266,c_2625]) ).
tcf(c_15325,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_2298]) ).
tcf(c_15326,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_2297]) ).
tcf(c_15327,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_2258]) ).
tcf(c_15328,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_2257]) ).
tcf(c_15329,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)) = sdtpldt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_15266,c_2224]) ).
tcf(c_15330,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)) = sdtpldt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_15266,c_2223]) ).
tcf(c_15331,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_59]) ).
tcf(c_15332,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_55]) ).
tcf(c_15333,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtsldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0),sdtpldt0(xm,sdtsldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_161]) ).
tcf(c_15334,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_2011]) ).
tcf(c_15335,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_2010]) ).
tcf(c_15336,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_1974]) ).
tcf(c_15337,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_1973]) ).
tcf(c_15338,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_1967]) ).
tcf(c_15339,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_58]) ).
tcf(c_15340,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_54]) ).
tcf(c_15343,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))) = sdtpldt0(xm,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_15266,c_57]) ).
tcf(c_15344,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sz00) = sdtpldt0(xm,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_15266,c_56]) ).
tcf(c_15559,plain,
aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_7973,c_103,c_113,c_7973]) ).
tcf(c_15561,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15559,c_12800]) ).
tcf(c_15562,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15559,c_12799]) ).
tcf(c_15563,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15559,c_12798]) ).
tcf(c_15564,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15559,c_12802]) ).
tcf(c_15565,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15559,c_12801]) ).
tcf(c_15566,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15559,c_12794]) ).
tcf(c_15567,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_1940]) ).
tcf(c_15568,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_11833]) ).
tcf(c_15569,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_11832]) ).
tcf(c_15570,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_11831]) ).
tcf(c_15571,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_11835]) ).
tcf(c_15572,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_11834]) ).
tcf(c_15573,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_11827]) ).
tcf(c_15574,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_1939]) ).
tcf(c_15575,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15559,c_10803]) ).
tcf(c_15576,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15559,c_10802]) ).
tcf(c_15577,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15559,c_10805]) ).
tcf(c_15578,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15559,c_10804]) ).
tcf(c_15579,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15559,c_10801]) ).
tcf(c_15580,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15559,c_10797]) ).
tcf(c_15581,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_1926]) ).
tcf(c_15582,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_9189]) ).
tcf(c_15583,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_9188]) ).
tcf(c_15584,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_9191]) ).
tcf(c_15585,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_9190]) ).
tcf(c_15586,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_9187]) ).
tcf(c_15587,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_9183]) ).
tcf(c_15588,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_1925]) ).
tcf(c_15589,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_2009]) ).
tcf(c_15590,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_2008]) ).
tcf(c_15591,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_2007]) ).
tcf(c_15592,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_2004]) ).
tcf(c_15593,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_15559,c_5044]) ).
tcf(c_15594,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_15559,c_5043]) ).
tcf(c_15595,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_15559,c_4926]) ).
tcf(c_15596,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_15559,c_4925]) ).
tcf(c_15597,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15559,c_4833]) ).
tcf(c_15598,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15559,c_4832]) ).
tcf(c_15599,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15559,c_4774]) ).
tcf(c_15600,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15559,c_4773]) ).
tcf(c_15601,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_1972]) ).
tcf(c_15602,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_1971]) ).
tcf(c_15603,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_3527]) ).
tcf(c_15604,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_3526]) ).
tcf(c_15605,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_3478]) ).
tcf(c_15606,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_3477]) ).
tcf(c_15607,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_1970]) ).
tcf(c_15608,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15559,c_2777]) ).
tcf(c_15609,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15559,c_2776]) ).
tcf(c_15610,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtsldt0(xm,xl))),sdtasdt0(X1,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_65]) ).
tcf(c_15611,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0),sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X1)) = sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_64]) ).
tcf(c_15612,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15559,c_2727]) ).
tcf(c_15613,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15559,c_2726]) ).
tcf(c_15614,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xn,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15559,c_2654]) ).
tcf(c_15615,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xn,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15559,c_2653]) ).
tcf(c_15616,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xn,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15559,c_2626]) ).
tcf(c_15617,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xn,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_15559,c_2625]) ).
tcf(c_15618,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_2298]) ).
tcf(c_15619,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_2297]) ).
tcf(c_15620,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_2258]) ).
tcf(c_15621,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_2257]) ).
tcf(c_15622,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)) = sdtpldt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_15559,c_2224]) ).
tcf(c_15623,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)) = sdtpldt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_15559,c_2223]) ).
tcf(c_15624,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_59]) ).
tcf(c_15625,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_55]) ).
tcf(c_15626,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtsldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0),sdtpldt0(xn,sdtsldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_161]) ).
tcf(c_15627,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_2011]) ).
tcf(c_15628,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_2010]) ).
tcf(c_15629,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_1974]) ).
tcf(c_15630,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_1973]) ).
tcf(c_15631,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_1967]) ).
tcf(c_15632,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_58]) ).
tcf(c_15633,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_54]) ).
tcf(c_15636,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))) = sdtpldt0(xn,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_15559,c_57]) ).
tcf(c_15637,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sz00) = sdtpldt0(xn,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_15559,c_56]) ).
tcf(c_16010,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(global_subsumption_just,[status(thm)],[c_7982,c_49,c_111,c_7982]) ).
tcf(c_16013,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16010,c_12800]) ).
tcf(c_16014,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16010,c_12799]) ).
tcf(c_16015,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16010,c_12798]) ).
tcf(c_16016,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16010,c_12802]) ).
tcf(c_16017,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16010,c_12801]) ).
tcf(c_16018,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16010,c_12794]) ).
tcf(c_16019,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_1940]) ).
tcf(c_16020,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_11833]) ).
tcf(c_16021,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_11832]) ).
tcf(c_16022,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_11831]) ).
tcf(c_16023,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_11835]) ).
tcf(c_16024,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_11834]) ).
tcf(c_16025,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_11827]) ).
tcf(c_16026,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_1939]) ).
tcf(c_16027,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16010,c_10803]) ).
tcf(c_16028,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16010,c_10802]) ).
tcf(c_16029,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16010,c_10805]) ).
tcf(c_16030,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16010,c_10804]) ).
tcf(c_16031,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16010,c_10801]) ).
tcf(c_16032,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16010,c_10797]) ).
tcf(c_16033,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_1926]) ).
tcf(c_16034,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_9189]) ).
tcf(c_16035,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_9188]) ).
tcf(c_16036,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_9191]) ).
tcf(c_16037,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_9190]) ).
tcf(c_16038,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_9187]) ).
tcf(c_16039,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_9183]) ).
tcf(c_16040,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_1925]) ).
tcf(c_16041,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_2009]) ).
tcf(c_16042,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_2008]) ).
tcf(c_16043,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_2007]) ).
tcf(c_16044,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_2004]) ).
tcf(c_16045,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_16010,c_5044]) ).
tcf(c_16046,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_16010,c_5043]) ).
tcf(c_16047,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16010,c_4926]) ).
tcf(c_16048,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16010,c_4925]) ).
tcf(c_16049,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16010,c_4833]) ).
tcf(c_16050,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16010,c_4832]) ).
tcf(c_16051,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16010,c_4774]) ).
tcf(c_16052,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16010,c_4773]) ).
tcf(c_16053,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_1972]) ).
tcf(c_16054,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_1971]) ).
tcf(c_16055,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_3527]) ).
tcf(c_16056,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_3526]) ).
tcf(c_16057,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_3478]) ).
tcf(c_16058,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_3477]) ).
tcf(c_16059,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_1970]) ).
tcf(c_16060,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16010,c_2777]) ).
tcf(c_16061,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16010,c_2776]) ).
tcf(c_16062,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtsldt0(xn,xl))),sdtasdt0(X1,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_65]) ).
tcf(c_16063,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_64]) ).
tcf(c_16064,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16010,c_2727]) ).
tcf(c_16065,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16010,c_2726]) ).
tcf(c_16066,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16010,c_2654]) ).
tcf(c_16067,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16010,c_2653]) ).
tcf(c_16068,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16010,c_2626]) ).
tcf(c_16069,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16010,c_2625]) ).
tcf(c_16070,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_2298]) ).
tcf(c_16071,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_2297]) ).
tcf(c_16072,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_2258]) ).
tcf(c_16073,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_2257]) ).
tcf(c_16074,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)) = sdtasdt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16010,c_2224]) ).
tcf(c_16075,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)) = sdtasdt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16010,c_2223]) ).
tcf(c_16076,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_59]) ).
tcf(c_16077,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_55]) ).
tcf(c_16079,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_2011]) ).
tcf(c_16080,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_2010]) ).
tcf(c_16081,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_1974]) ).
tcf(c_16082,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_1973]) ).
tcf(c_16083,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_1967]) ).
tcf(c_16084,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_58]) ).
tcf(c_16085,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_54]) ).
tcf(c_16088,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))) = sdtasdt0(sz00,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16010,c_57]) ).
tcf(c_16089,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sz00) = sdtasdt0(sz00,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16010,c_56]) ).
tcf(c_16296,plain,
aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(global_subsumption_just,[status(thm)],[c_7989,c_103,c_2422]) ).
tcf(c_16299,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16296,c_12800]) ).
tcf(c_16300,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16296,c_12799]) ).
tcf(c_16301,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16296,c_12798]) ).
tcf(c_16302,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16296,c_12802]) ).
tcf(c_16303,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16296,c_12801]) ).
tcf(c_16304,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16296,c_12794]) ).
tcf(c_16305,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_1940]) ).
tcf(c_16306,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_11833]) ).
tcf(c_16307,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_11832]) ).
tcf(c_16308,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_11831]) ).
tcf(c_16309,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_11835]) ).
tcf(c_16310,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_11834]) ).
tcf(c_16311,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_11827]) ).
tcf(c_16312,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_1939]) ).
tcf(c_16313,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16296,c_10803]) ).
tcf(c_16314,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16296,c_10802]) ).
tcf(c_16315,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16296,c_10805]) ).
tcf(c_16316,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16296,c_10804]) ).
tcf(c_16317,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16296,c_10801]) ).
tcf(c_16318,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16296,c_10797]) ).
tcf(c_16319,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_1926]) ).
tcf(c_16320,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_9189]) ).
tcf(c_16321,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_9188]) ).
tcf(c_16322,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_9191]) ).
tcf(c_16323,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_9190]) ).
tcf(c_16324,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_9187]) ).
tcf(c_16325,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_9183]) ).
tcf(c_16326,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_1925]) ).
tcf(c_16327,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_2009]) ).
tcf(c_16328,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_2008]) ).
tcf(c_16329,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_2007]) ).
tcf(c_16330,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_2004]) ).
tcf(c_16331,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_16296,c_5044]) ).
tcf(c_16332,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_16296,c_5043]) ).
tcf(c_16333,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16296,c_4926]) ).
tcf(c_16334,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16296,c_4925]) ).
tcf(c_16335,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16296,c_4833]) ).
tcf(c_16336,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16296,c_4832]) ).
tcf(c_16337,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16296,c_4774]) ).
tcf(c_16338,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16296,c_4773]) ).
tcf(c_16339,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_1972]) ).
tcf(c_16340,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_1971]) ).
tcf(c_16341,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_3527]) ).
tcf(c_16342,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_3526]) ).
tcf(c_16343,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_3478]) ).
tcf(c_16344,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_3477]) ).
tcf(c_16345,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_1970]) ).
tcf(c_16346,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16296,c_2777]) ).
tcf(c_16347,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16296,c_2776]) ).
tcf(c_16348,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtsldt0(xn,xl))),sdtasdt0(X1,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_65]) ).
tcf(c_16349,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0),sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X1)) = sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_64]) ).
tcf(c_16350,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16296,c_2727]) ).
tcf(c_16351,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16296,c_2726]) ).
tcf(c_16352,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16296,c_2654]) ).
tcf(c_16353,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16296,c_2653]) ).
tcf(c_16354,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16296,c_2626]) ).
tcf(c_16355,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16296,c_2625]) ).
tcf(c_16356,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_2298]) ).
tcf(c_16357,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_2297]) ).
tcf(c_16358,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_2258]) ).
tcf(c_16359,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_2257]) ).
tcf(c_16360,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16296,c_2224]) ).
tcf(c_16361,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)) = sdtasdt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16296,c_2223]) ).
tcf(c_16362,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_59]) ).
tcf(c_16363,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_55]) ).
tcf(c_16364,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtsldt0(xn,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0),sdtasdt0(xl,sdtsldt0(xn,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_161]) ).
tcf(c_16365,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_2011]) ).
tcf(c_16366,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_2010]) ).
tcf(c_16367,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_1974]) ).
tcf(c_16368,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_1973]) ).
tcf(c_16369,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_1967]) ).
tcf(c_16370,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_58]) ).
tcf(c_16371,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_54]) ).
tcf(c_16374,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))) = sdtasdt0(xl,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16296,c_57]) ).
tcf(c_16375,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sz00) = sdtasdt0(xl,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16296,c_56]) ).
tcf(c_16649,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xm)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10852,c_68]) ).
tcf(c_16657,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xn)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10853,c_68]) ).
tcf(c_16664,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10856,c_68]) ).
tcf(c_16672,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xl)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10857,c_68]) ).
tcf(c_16680,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13149,c_68]) ).
tcf(c_16710,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13150,c_68]) ).
tcf(c_16740,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13151,c_68]) ).
tcf(c_16746,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13152,c_68]) ).
tcf(c_16758,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13153,c_68]) ).
tcf(c_16764,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13154,c_68]) ).
tcf(c_16822,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9723,c_69]) ).
tcf(c_16829,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9724,c_69]) ).
tcf(c_16830,plain,
aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(global_subsumption_just,[status(thm)],[c_7997,c_102,c_111,c_7997]) ).
tcf(c_16832,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16830,c_12800]) ).
tcf(c_16833,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16830,c_12799]) ).
tcf(c_16834,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16830,c_12798]) ).
tcf(c_16835,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16830,c_12802]) ).
tcf(c_16836,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16830,c_12801]) ).
tcf(c_16837,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16830,c_12794]) ).
tcf(c_16838,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_1940]) ).
tcf(c_16839,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_11833]) ).
tcf(c_16840,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_11832]) ).
tcf(c_16841,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_11831]) ).
tcf(c_16842,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_11835]) ).
tcf(c_16843,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_11834]) ).
tcf(c_16844,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_11827]) ).
tcf(c_16845,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_1939]) ).
tcf(c_16846,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16830,c_10803]) ).
tcf(c_16847,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16830,c_10802]) ).
tcf(c_16848,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16830,c_10805]) ).
tcf(c_16849,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16830,c_10804]) ).
tcf(c_16850,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16830,c_10801]) ).
tcf(c_16851,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16830,c_10797]) ).
tcf(c_16852,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_1926]) ).
tcf(c_16853,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_9189]) ).
tcf(c_16854,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_9188]) ).
tcf(c_16855,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_9191]) ).
tcf(c_16856,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_9190]) ).
tcf(c_16857,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_9187]) ).
tcf(c_16858,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_9183]) ).
tcf(c_16859,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_1925]) ).
tcf(c_16860,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_2009]) ).
tcf(c_16861,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_2008]) ).
tcf(c_16862,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_2007]) ).
tcf(c_16863,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_2004]) ).
tcf(c_16864,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_16830,c_5044]) ).
tcf(c_16865,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_16830,c_5043]) ).
tcf(c_16866,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16830,c_4926]) ).
tcf(c_16867,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16830,c_4925]) ).
tcf(c_16868,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16830,c_4833]) ).
tcf(c_16869,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16830,c_4832]) ).
tcf(c_16870,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16830,c_4774]) ).
tcf(c_16871,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16830,c_4773]) ).
tcf(c_16872,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_1972]) ).
tcf(c_16873,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_1971]) ).
tcf(c_16874,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_3527]) ).
tcf(c_16875,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_3526]) ).
tcf(c_16876,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_3478]) ).
tcf(c_16877,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_3477]) ).
tcf(c_16878,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_1970]) ).
tcf(c_16879,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16830,c_2777]) ).
tcf(c_16880,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16830,c_2776]) ).
tcf(c_16881,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtsldt0(xn,xl))),sdtasdt0(X1,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_65]) ).
tcf(c_16882,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0),sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X1)) = sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_64]) ).
tcf(c_16883,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16830,c_2727]) ).
tcf(c_16884,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16830,c_2726]) ).
tcf(c_16885,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16830,c_2654]) ).
tcf(c_16886,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16830,c_2653]) ).
tcf(c_16887,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16830,c_2626]) ).
tcf(c_16888,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_16830,c_2625]) ).
tcf(c_16889,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_2298]) ).
tcf(c_16890,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_2297]) ).
tcf(c_16891,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_2258]) ).
tcf(c_16892,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_2257]) ).
tcf(c_16893,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)) = sdtasdt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16830,c_2224]) ).
tcf(c_16894,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)) = sdtasdt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16830,c_2223]) ).
tcf(c_16895,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_59]) ).
tcf(c_16896,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_55]) ).
tcf(c_16897,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtsldt0(xn,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0),sdtasdt0(xm,sdtsldt0(xn,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_161]) ).
tcf(c_16898,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_2011]) ).
tcf(c_16899,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_2010]) ).
tcf(c_16900,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_1974]) ).
tcf(c_16901,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_1973]) ).
tcf(c_16902,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_1967]) ).
tcf(c_16903,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_58]) ).
tcf(c_16904,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_54]) ).
tcf(c_16907,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))) = sdtasdt0(xm,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16830,c_57]) ).
tcf(c_16908,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sz00) = sdtasdt0(xm,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16830,c_56]) ).
tcf(c_17114,plain,
aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(global_subsumption_just,[status(thm)],[c_8005,c_103,c_111,c_8005]) ).
tcf(c_17116,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17114,c_12800]) ).
tcf(c_17117,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17114,c_12799]) ).
tcf(c_17118,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17114,c_12798]) ).
tcf(c_17119,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17114,c_12802]) ).
tcf(c_17120,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17114,c_12801]) ).
tcf(c_17121,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17114,c_12794]) ).
tcf(c_17122,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_1940]) ).
tcf(c_17123,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_11833]) ).
tcf(c_17124,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_11832]) ).
tcf(c_17125,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_11831]) ).
tcf(c_17126,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_11835]) ).
tcf(c_17127,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_11834]) ).
tcf(c_17128,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_11827]) ).
tcf(c_17129,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_1939]) ).
tcf(c_17130,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17114,c_10803]) ).
tcf(c_17131,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17114,c_10802]) ).
tcf(c_17132,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17114,c_10805]) ).
tcf(c_17133,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17114,c_10804]) ).
tcf(c_17134,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17114,c_10801]) ).
tcf(c_17135,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17114,c_10797]) ).
tcf(c_17136,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_1926]) ).
tcf(c_17137,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_9189]) ).
tcf(c_17138,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_9188]) ).
tcf(c_17139,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_9191]) ).
tcf(c_17140,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_9190]) ).
tcf(c_17141,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_9187]) ).
tcf(c_17142,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_9183]) ).
tcf(c_17143,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_1925]) ).
tcf(c_17144,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_2009]) ).
tcf(c_17145,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_2008]) ).
tcf(c_17146,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_2007]) ).
tcf(c_17147,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_2004]) ).
tcf(c_17148,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_17114,c_5044]) ).
tcf(c_17149,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_17114,c_5043]) ).
tcf(c_17150,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_17114,c_4926]) ).
tcf(c_17151,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_17114,c_4925]) ).
tcf(c_17152,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_17114,c_4833]) ).
tcf(c_17153,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_17114,c_4832]) ).
tcf(c_17154,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_17114,c_4774]) ).
tcf(c_17155,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_17114,c_4773]) ).
tcf(c_17156,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_1972]) ).
tcf(c_17157,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_1971]) ).
tcf(c_17158,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_3527]) ).
tcf(c_17159,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_3526]) ).
tcf(c_17160,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_3478]) ).
tcf(c_17161,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_3477]) ).
tcf(c_17162,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_1970]) ).
tcf(c_17163,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xn,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_17114,c_2777]) ).
tcf(c_17164,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xn,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_17114,c_2776]) ).
tcf(c_17165,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtsldt0(xn,xl))),sdtasdt0(X1,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_65]) ).
tcf(c_17166,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0),sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X1)) = sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_64]) ).
tcf(c_17167,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xn,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_17114,c_2727]) ).
tcf(c_17168,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xn,sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_17114,c_2726]) ).
tcf(c_17169,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xn,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_17114,c_2654]) ).
tcf(c_17170,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xn,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_17114,c_2653]) ).
tcf(c_17171,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xn,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_17114,c_2626]) ).
tcf(c_17172,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xn,sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_17114,c_2625]) ).
tcf(c_17173,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_2298]) ).
tcf(c_17174,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_2297]) ).
tcf(c_17175,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_2258]) ).
tcf(c_17176,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_2257]) ).
tcf(c_17177,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sdtsldt0(xm,xl)) = sdtasdt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_17114,c_2224]) ).
tcf(c_17178,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sdtsldt0(xn,xl)) = sdtasdt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_17114,c_2223]) ).
tcf(c_17179,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_59]) ).
tcf(c_17180,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_55]) ).
tcf(c_17181,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtsldt0(xn,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0),sdtasdt0(xn,sdtsldt0(xn,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_161]) ).
tcf(c_17182,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_2011]) ).
tcf(c_17183,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_2010]) ).
tcf(c_17184,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_1974]) ).
tcf(c_17185,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_1973]) ).
tcf(c_17186,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_1967]) ).
tcf(c_17187,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_58]) ).
tcf(c_17188,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_54]) ).
tcf(c_17191,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))) = sdtasdt0(xn,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_17114,c_57]) ).
tcf(c_17192,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sz00) = sdtasdt0(xn,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_17114,c_56]) ).
tcf(c_17430,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_8330,c_49,c_113,c_8330]) ).
tcf(c_17433,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17430,c_12800]) ).
tcf(c_17434,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17430,c_12799]) ).
tcf(c_17435,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17430,c_12798]) ).
tcf(c_17436,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17430,c_12802]) ).
tcf(c_17437,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17430,c_12801]) ).
tcf(c_17438,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17430,c_12794]) ).
tcf(c_17439,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_1940]) ).
tcf(c_17440,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_11833]) ).
tcf(c_17441,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_11832]) ).
tcf(c_17442,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_11831]) ).
tcf(c_17443,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_11835]) ).
tcf(c_17444,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_11834]) ).
tcf(c_17445,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_11827]) ).
tcf(c_17446,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_1939]) ).
tcf(c_17447,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17430,c_10803]) ).
tcf(c_17448,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17430,c_10802]) ).
tcf(c_17449,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17430,c_10805]) ).
tcf(c_17450,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17430,c_10804]) ).
tcf(c_17451,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17430,c_10801]) ).
tcf(c_17452,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17430,c_10797]) ).
tcf(c_17453,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_1926]) ).
tcf(c_17454,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_9189]) ).
tcf(c_17455,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_9188]) ).
tcf(c_17456,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_9191]) ).
tcf(c_17457,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_9190]) ).
tcf(c_17458,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_9187]) ).
tcf(c_17459,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_9183]) ).
tcf(c_17460,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_1925]) ).
tcf(c_17461,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_2009]) ).
tcf(c_17462,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_2008]) ).
tcf(c_17463,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_2007]) ).
tcf(c_17464,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_2004]) ).
tcf(c_17465,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_17430,c_5044]) ).
tcf(c_17466,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_17430,c_5043]) ).
tcf(c_17467,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_17430,c_4926]) ).
tcf(c_17468,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_17430,c_4925]) ).
tcf(c_17469,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17430,c_4833]) ).
tcf(c_17470,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17430,c_4832]) ).
tcf(c_17471,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17430,c_4774]) ).
tcf(c_17472,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17430,c_4773]) ).
tcf(c_17473,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_1972]) ).
tcf(c_17474,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_1971]) ).
tcf(c_17475,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_3527]) ).
tcf(c_17476,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_3526]) ).
tcf(c_17477,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_3478]) ).
tcf(c_17478,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_3477]) ).
tcf(c_17479,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_1970]) ).
tcf(c_17480,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17430,c_2777]) ).
tcf(c_17481,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17430,c_2776]) ).
tcf(c_17482,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtsldt0(xm,xl))),sdtasdt0(X1,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_65]) ).
tcf(c_17483,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_64]) ).
tcf(c_17484,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17430,c_2727]) ).
tcf(c_17485,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17430,c_2726]) ).
tcf(c_17486,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17430,c_2654]) ).
tcf(c_17487,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17430,c_2653]) ).
tcf(c_17488,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17430,c_2626]) ).
tcf(c_17489,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17430,c_2625]) ).
tcf(c_17490,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_2298]) ).
tcf(c_17491,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_2297]) ).
tcf(c_17492,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_2258]) ).
tcf(c_17493,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_2257]) ).
tcf(c_17494,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)) = sdtasdt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_17430,c_2224]) ).
tcf(c_17495,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)) = sdtasdt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_17430,c_2223]) ).
tcf(c_17496,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_59]) ).
tcf(c_17497,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_55]) ).
tcf(c_17499,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_2011]) ).
tcf(c_17500,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_2010]) ).
tcf(c_17501,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_1974]) ).
tcf(c_17502,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_1973]) ).
tcf(c_17503,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_1967]) ).
tcf(c_17504,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_58]) ).
tcf(c_17505,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_54]) ).
tcf(c_17508,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))) = sdtasdt0(sz00,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_17430,c_57]) ).
tcf(c_17509,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_17430,c_56]) ).
tcf(c_17746,plain,
aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_8337,c_102,c_2423]) ).
tcf(c_17749,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17746,c_12800]) ).
tcf(c_17750,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17746,c_12799]) ).
tcf(c_17751,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17746,c_12798]) ).
tcf(c_17752,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17746,c_12802]) ).
tcf(c_17753,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17746,c_12801]) ).
tcf(c_17754,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17746,c_12794]) ).
tcf(c_17755,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_1940]) ).
tcf(c_17756,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_11833]) ).
tcf(c_17757,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_11832]) ).
tcf(c_17758,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_11831]) ).
tcf(c_17759,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_11835]) ).
tcf(c_17760,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_11834]) ).
tcf(c_17761,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_11827]) ).
tcf(c_17762,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_1939]) ).
tcf(c_17763,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17746,c_10803]) ).
tcf(c_17764,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17746,c_10802]) ).
tcf(c_17765,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17746,c_10805]) ).
tcf(c_17766,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17746,c_10804]) ).
tcf(c_17767,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17746,c_10801]) ).
tcf(c_17768,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17746,c_10797]) ).
tcf(c_17769,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_1926]) ).
tcf(c_17770,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_9189]) ).
tcf(c_17771,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_9188]) ).
tcf(c_17772,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_9191]) ).
tcf(c_17773,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_9190]) ).
tcf(c_17774,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_9187]) ).
tcf(c_17775,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_9183]) ).
tcf(c_17776,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_1925]) ).
tcf(c_17777,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_2009]) ).
tcf(c_17778,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_2008]) ).
tcf(c_17779,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_2007]) ).
tcf(c_17780,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_2004]) ).
tcf(c_17781,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_17746,c_5044]) ).
tcf(c_17782,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_17746,c_5043]) ).
tcf(c_17783,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_17746,c_4926]) ).
tcf(c_17784,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_17746,c_4925]) ).
tcf(c_17785,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17746,c_4833]) ).
tcf(c_17786,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17746,c_4832]) ).
tcf(c_17787,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17746,c_4774]) ).
tcf(c_17788,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17746,c_4773]) ).
tcf(c_17789,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_1972]) ).
tcf(c_17790,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_1971]) ).
tcf(c_17791,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_3527]) ).
tcf(c_17792,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_3526]) ).
tcf(c_17793,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_3478]) ).
tcf(c_17794,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_3477]) ).
tcf(c_17795,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_1970]) ).
tcf(c_17796,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17746,c_2777]) ).
tcf(c_17797,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17746,c_2776]) ).
tcf(c_17798,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtsldt0(xm,xl))),sdtasdt0(X1,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_65]) ).
tcf(c_17799,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0),sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X1)) = sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_64]) ).
tcf(c_17800,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17746,c_2727]) ).
tcf(c_17801,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17746,c_2726]) ).
tcf(c_17802,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17746,c_2654]) ).
tcf(c_17803,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17746,c_2653]) ).
tcf(c_17804,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17746,c_2626]) ).
tcf(c_17805,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_17746,c_2625]) ).
tcf(c_17806,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_2298]) ).
tcf(c_17807,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_2297]) ).
tcf(c_17808,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_2258]) ).
tcf(c_17809,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_2257]) ).
tcf(c_17810,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_17746,c_2224]) ).
tcf(c_17811,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)) = sdtasdt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_17746,c_2223]) ).
tcf(c_17812,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_59]) ).
tcf(c_17813,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_55]) ).
tcf(c_17814,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtsldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0),sdtasdt0(xl,sdtsldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_161]) ).
tcf(c_17815,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_2011]) ).
tcf(c_17816,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_2010]) ).
tcf(c_17817,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_1974]) ).
tcf(c_17818,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_1973]) ).
tcf(c_17819,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_1967]) ).
tcf(c_17820,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_58]) ).
tcf(c_17821,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_54]) ).
tcf(c_17824,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))) = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_17746,c_57]) ).
tcf(c_17825,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sz00) = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_17746,c_56]) ).
tcf(c_18147,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10858,c_68]) ).
tcf(c_18197,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xm)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10859,c_68]) ).
tcf(c_18205,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xn)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10860,c_68]) ).
tcf(c_18212,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10861,c_68]) ).
tcf(c_18220,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9920,c_69]) ).
tcf(c_18267,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9921,c_69]) ).
tcf(c_18273,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10986,c_68]) ).
tcf(c_18280,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10987,c_68]) ).
tcf(c_18287,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11223,c_68]) ).
tcf(c_18294,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11224,c_68]) ).
tcf(c_18321,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11976,c_69]) ).
tcf(c_18328,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11977,c_69]) ).
tcf(c_18329,plain,
aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_8367,c_102,c_113,c_8367]) ).
tcf(c_18331,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18329,c_12800]) ).
tcf(c_18332,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18329,c_12799]) ).
tcf(c_18333,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18329,c_12798]) ).
tcf(c_18334,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18329,c_12802]) ).
tcf(c_18335,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18329,c_12801]) ).
tcf(c_18336,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18329,c_12794]) ).
tcf(c_18337,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_1940]) ).
tcf(c_18338,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_11833]) ).
tcf(c_18339,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_11832]) ).
tcf(c_18340,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_11831]) ).
tcf(c_18341,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_11835]) ).
tcf(c_18342,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_11834]) ).
tcf(c_18343,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_11827]) ).
tcf(c_18344,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_1939]) ).
tcf(c_18345,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18329,c_10803]) ).
tcf(c_18346,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18329,c_10802]) ).
tcf(c_18347,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18329,c_10805]) ).
tcf(c_18348,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18329,c_10804]) ).
tcf(c_18349,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18329,c_10801]) ).
tcf(c_18350,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18329,c_10797]) ).
tcf(c_18351,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_1926]) ).
tcf(c_18352,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_9189]) ).
tcf(c_18353,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_9188]) ).
tcf(c_18354,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_9191]) ).
tcf(c_18355,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_9190]) ).
tcf(c_18356,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_9187]) ).
tcf(c_18357,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_9183]) ).
tcf(c_18358,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_1925]) ).
tcf(c_18359,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_2009]) ).
tcf(c_18360,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_2008]) ).
tcf(c_18361,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_2007]) ).
tcf(c_18362,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_2004]) ).
tcf(c_18363,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_18329,c_5044]) ).
tcf(c_18364,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_18329,c_5043]) ).
tcf(c_18365,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_18329,c_4926]) ).
tcf(c_18366,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_18329,c_4925]) ).
tcf(c_18367,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18329,c_4833]) ).
tcf(c_18368,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18329,c_4832]) ).
tcf(c_18369,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18329,c_4774]) ).
tcf(c_18370,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18329,c_4773]) ).
tcf(c_18371,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_1972]) ).
tcf(c_18372,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_1971]) ).
tcf(c_18373,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_3527]) ).
tcf(c_18374,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_3526]) ).
tcf(c_18375,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_3478]) ).
tcf(c_18376,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_3477]) ).
tcf(c_18377,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_1970]) ).
tcf(c_18378,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18329,c_2777]) ).
tcf(c_18379,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18329,c_2776]) ).
tcf(c_18380,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtsldt0(xm,xl))),sdtasdt0(X1,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_65]) ).
tcf(c_18381,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0),sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X1)) = sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_64]) ).
tcf(c_18382,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18329,c_2727]) ).
tcf(c_18383,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18329,c_2726]) ).
tcf(c_18384,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18329,c_2654]) ).
tcf(c_18385,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18329,c_2653]) ).
tcf(c_18386,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xm,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18329,c_2626]) ).
tcf(c_18387,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18329,c_2625]) ).
tcf(c_18388,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_2298]) ).
tcf(c_18389,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_2297]) ).
tcf(c_18390,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_2258]) ).
tcf(c_18391,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_2257]) ).
tcf(c_18392,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)) = sdtasdt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_18329,c_2224]) ).
tcf(c_18393,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)) = sdtasdt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_18329,c_2223]) ).
tcf(c_18394,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_59]) ).
tcf(c_18395,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_55]) ).
tcf(c_18396,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtsldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0),sdtasdt0(xm,sdtsldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_161]) ).
tcf(c_18397,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_2011]) ).
tcf(c_18398,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_2010]) ).
tcf(c_18399,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_1974]) ).
tcf(c_18400,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_1973]) ).
tcf(c_18401,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_1967]) ).
tcf(c_18402,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_58]) ).
tcf(c_18403,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_54]) ).
tcf(c_18406,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))) = sdtasdt0(xm,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_18329,c_57]) ).
tcf(c_18407,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sz00) = sdtasdt0(xm,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_18329,c_56]) ).
tcf(c_18641,plain,
aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_8375,c_103,c_113,c_8375]) ).
tcf(c_18643,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18641,c_12800]) ).
tcf(c_18644,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18641,c_12799]) ).
tcf(c_18645,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18641,c_12798]) ).
tcf(c_18646,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18641,c_12802]) ).
tcf(c_18647,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18641,c_12801]) ).
tcf(c_18648,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18641,c_12794]) ).
tcf(c_18649,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_1940]) ).
tcf(c_18650,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_11833]) ).
tcf(c_18651,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_11832]) ).
tcf(c_18652,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_11831]) ).
tcf(c_18653,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_11835]) ).
tcf(c_18654,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_11834]) ).
tcf(c_18655,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_11827]) ).
tcf(c_18656,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_1939]) ).
tcf(c_18657,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18641,c_10803]) ).
tcf(c_18658,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18641,c_10802]) ).
tcf(c_18659,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18641,c_10805]) ).
tcf(c_18660,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18641,c_10804]) ).
tcf(c_18661,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18641,c_10801]) ).
tcf(c_18662,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18641,c_10797]) ).
tcf(c_18663,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_1926]) ).
tcf(c_18664,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_9189]) ).
tcf(c_18665,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_9188]) ).
tcf(c_18666,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_9191]) ).
tcf(c_18667,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_9190]) ).
tcf(c_18668,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_9187]) ).
tcf(c_18669,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_9183]) ).
tcf(c_18670,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_1925]) ).
tcf(c_18671,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_2009]) ).
tcf(c_18672,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_2008]) ).
tcf(c_18673,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_2007]) ).
tcf(c_18674,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_2004]) ).
tcf(c_18675,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_18641,c_5044]) ).
tcf(c_18676,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_18641,c_5043]) ).
tcf(c_18677,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_18641,c_4926]) ).
tcf(c_18678,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_18641,c_4925]) ).
tcf(c_18679,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18641,c_4833]) ).
tcf(c_18680,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18641,c_4832]) ).
tcf(c_18681,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18641,c_4774]) ).
tcf(c_18682,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18641,c_4773]) ).
tcf(c_18683,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_1972]) ).
tcf(c_18684,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_1971]) ).
tcf(c_18685,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_3527]) ).
tcf(c_18686,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_3526]) ).
tcf(c_18687,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_3478]) ).
tcf(c_18688,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_3477]) ).
tcf(c_18689,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_1970]) ).
tcf(c_18690,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18641,c_2777]) ).
tcf(c_18691,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18641,c_2776]) ).
tcf(c_18692,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtsldt0(xm,xl))),sdtasdt0(X1,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_65]) ).
tcf(c_18693,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0),sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X1)) = sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_64]) ).
tcf(c_18694,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18641,c_2727]) ).
tcf(c_18695,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18641,c_2726]) ).
tcf(c_18696,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18641,c_2654]) ).
tcf(c_18697,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18641,c_2653]) ).
tcf(c_18698,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18641,c_2626]) ).
tcf(c_18699,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))),
inference(superposition,[status(thm)],[c_18641,c_2625]) ).
tcf(c_18700,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_2298]) ).
tcf(c_18701,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_2297]) ).
tcf(c_18702,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_2258]) ).
tcf(c_18703,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_2257]) ).
tcf(c_18704,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sdtsldt0(xm,xl)) = sdtasdt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_18641,c_2224]) ).
tcf(c_18705,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sdtsldt0(xn,xl)) = sdtasdt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_18641,c_2223]) ).
tcf(c_18706,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_59]) ).
tcf(c_18707,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_55]) ).
tcf(c_18708,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtsldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0),sdtasdt0(xn,sdtsldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_161]) ).
tcf(c_18709,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_2011]) ).
tcf(c_18710,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_2010]) ).
tcf(c_18711,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_1974]) ).
tcf(c_18712,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_1973]) ).
tcf(c_18713,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_1967]) ).
tcf(c_18714,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_58]) ).
tcf(c_18715,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtsldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_54]) ).
tcf(c_18718,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(xn,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_18641,c_57]) ).
tcf(c_18719,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sz00) = sdtasdt0(xn,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_18641,c_56]) ).
tcf(c_18976,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xn,xl)))
| ( sdtpldt0(sz00,sdtsldt0(xn,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_8430,c_66]) ).
tcf(c_18977,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xn,xl)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtsldt0(xn,xl))) != sdtpldt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_8430,c_67]) ).
tcf(c_18985,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0) != sdtpldt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_8431,c_66]) ).
tcf(c_18986,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xn,xl)))
| ( sdtpldt0(sz00,sdtsldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_8431,c_67]) ).
tcf(c_19016,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10862,c_68]) ).
tcf(c_19023,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10863,c_68]) ).
tcf(c_19029,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10917,c_68]) ).
tcf(c_19084,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xl)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10918,c_68]) ).
tcf(c_19092,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12040,c_69]) ).
tcf(c_19099,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12041,c_69]) ).
tcf(c_19105,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13033,c_68]) ).
tcf(c_19112,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13034,c_68]) ).
tcf(c_19119,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13145,c_68]) ).
tcf(c_19126,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13146,c_68]) ).
tcf(c_19132,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13933,c_68]) ).
tcf(c_19138,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13934,c_68]) ).
tcf(c_19145,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xm,xl)))
| ( sdtpldt0(sz00,sdtsldt0(xm,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_8666,c_66]) ).
tcf(c_19146,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xm,xl)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtsldt0(xm,xl))) != sdtpldt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_8666,c_67]) ).
tcf(c_19154,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0) != sdtpldt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_8667,c_66]) ).
tcf(c_19155,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtsldt0(xm,xl)))
| ( sdtpldt0(sz00,sdtsldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_8667,c_67]) ).
tcf(c_19156,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_8761,c_101,c_49,c_2068,c_5550]) ).
tcf(c_19160,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19156,c_12800]) ).
tcf(c_19161,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19156,c_12799]) ).
tcf(c_19162,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19156,c_12798]) ).
tcf(c_19163,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19156,c_12802]) ).
tcf(c_19164,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19156,c_12801]) ).
tcf(c_19165,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19156,c_12794]) ).
tcf(c_19166,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_1940]) ).
tcf(c_19167,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_11833]) ).
tcf(c_19168,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_11832]) ).
tcf(c_19169,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_11831]) ).
tcf(c_19170,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_11835]) ).
tcf(c_19171,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_11834]) ).
tcf(c_19172,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_11827]) ).
tcf(c_19173,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_1939]) ).
tcf(c_19174,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19156,c_10803]) ).
tcf(c_19175,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19156,c_10802]) ).
tcf(c_19176,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19156,c_10805]) ).
tcf(c_19177,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19156,c_10804]) ).
tcf(c_19178,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19156,c_10801]) ).
tcf(c_19179,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19156,c_10797]) ).
tcf(c_19180,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_1926]) ).
tcf(c_19181,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_9189]) ).
tcf(c_19182,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_9188]) ).
tcf(c_19183,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_9191]) ).
tcf(c_19184,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_9190]) ).
tcf(c_19185,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_9187]) ).
tcf(c_19186,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_9183]) ).
tcf(c_19187,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_1925]) ).
tcf(c_19188,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_2009]) ).
tcf(c_19189,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_2008]) ).
tcf(c_19190,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_2007]) ).
tcf(c_19191,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_2004]) ).
tcf(c_19192,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_19156,c_5044]) ).
tcf(c_19193,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_19156,c_5043]) ).
tcf(c_19194,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_19156,c_4926]) ).
tcf(c_19195,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_19156,c_4925]) ).
tcf(c_19196,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_19156,c_4833]) ).
tcf(c_19197,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_19156,c_4832]) ).
tcf(c_19198,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_19156,c_4774]) ).
tcf(c_19199,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_19156,c_4773]) ).
tcf(c_19200,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_1972]) ).
tcf(c_19201,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_1971]) ).
tcf(c_19202,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_3527]) ).
tcf(c_19203,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_3526]) ).
tcf(c_19204,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_3478]) ).
tcf(c_19205,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_3477]) ).
tcf(c_19206,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_1970]) ).
tcf(c_19207,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_19156,c_2777]) ).
tcf(c_19208,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_19156,c_2776]) ).
tcf(c_19209,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sdtasdt0(X1,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_65]) ).
tcf(c_19210,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_64]) ).
tcf(c_19211,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_19156,c_2727]) ).
tcf(c_19212,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_19156,c_2726]) ).
tcf(c_19213,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_19156,c_2654]) ).
tcf(c_19214,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_19156,c_2653]) ).
tcf(c_19215,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_19156,c_2626]) ).
tcf(c_19216,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_19156,c_2625]) ).
tcf(c_19217,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_2298]) ).
tcf(c_19218,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_2297]) ).
tcf(c_19219,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_2258]) ).
tcf(c_19220,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_2257]) ).
tcf(c_19221,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sdtsldt0(xm,xl)) = sdtpldt0(sz00,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_19156,c_2224]) ).
tcf(c_19222,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sdtsldt0(xn,xl)) = sdtpldt0(sz00,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_19156,c_2223]) ).
tcf(c_19223,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_59]) ).
tcf(c_19224,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_55]) ).
tcf(c_19225,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_161]) ).
tcf(c_19226,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_2011]) ).
tcf(c_19227,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_2010]) ).
tcf(c_19228,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_1974]) ).
tcf(c_19229,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_1973]) ).
tcf(c_19230,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_1967]) ).
tcf(c_19231,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_58]) ).
tcf(c_19232,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_54]) ).
tcf(c_19235,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sdtpldt0(sz00,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_19156,c_57]) ).
tcf(c_19236,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_19156,c_56]) ).
tcf(c_19768,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_8771,c_102,c_49,c_2073,c_8771]) ).
tcf(c_19772,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19768,c_12800]) ).
tcf(c_19773,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19768,c_12799]) ).
tcf(c_19774,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19768,c_12798]) ).
tcf(c_19775,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19768,c_12802]) ).
tcf(c_19776,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19768,c_12801]) ).
tcf(c_19777,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19768,c_12794]) ).
tcf(c_19778,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_1940]) ).
tcf(c_19779,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_11833]) ).
tcf(c_19780,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_11832]) ).
tcf(c_19781,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_11831]) ).
tcf(c_19782,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_11835]) ).
tcf(c_19783,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_11834]) ).
tcf(c_19784,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_11827]) ).
tcf(c_19785,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_1939]) ).
tcf(c_19786,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19768,c_10803]) ).
tcf(c_19787,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19768,c_10802]) ).
tcf(c_19788,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19768,c_10805]) ).
tcf(c_19789,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19768,c_10804]) ).
tcf(c_19790,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19768,c_10801]) ).
tcf(c_19791,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19768,c_10797]) ).
tcf(c_19792,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_1926]) ).
tcf(c_19793,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_9189]) ).
tcf(c_19794,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_9188]) ).
tcf(c_19795,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_9191]) ).
tcf(c_19796,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_9190]) ).
tcf(c_19797,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_9187]) ).
tcf(c_19798,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_9183]) ).
tcf(c_19799,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_1925]) ).
tcf(c_19800,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_2009]) ).
tcf(c_19801,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_2008]) ).
tcf(c_19802,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_2007]) ).
tcf(c_19803,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_2004]) ).
tcf(c_19804,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_19768,c_5044]) ).
tcf(c_19805,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_19768,c_5043]) ).
tcf(c_19806,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_19768,c_4926]) ).
tcf(c_19807,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_19768,c_4925]) ).
tcf(c_19808,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_19768,c_4833]) ).
tcf(c_19809,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_19768,c_4832]) ).
tcf(c_19810,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_19768,c_4774]) ).
tcf(c_19811,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_19768,c_4773]) ).
tcf(c_19812,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_1972]) ).
tcf(c_19813,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_1971]) ).
tcf(c_19814,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_3527]) ).
tcf(c_19815,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_3526]) ).
tcf(c_19816,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_3478]) ).
tcf(c_19817,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_3477]) ).
tcf(c_19818,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_1970]) ).
tcf(c_19819,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_19768,c_2777]) ).
tcf(c_19820,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_19768,c_2776]) ).
tcf(c_19821,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sdtasdt0(X1,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_65]) ).
tcf(c_19822,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_64]) ).
tcf(c_19823,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_19768,c_2727]) ).
tcf(c_19824,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_19768,c_2726]) ).
tcf(c_19825,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_19768,c_2654]) ).
tcf(c_19826,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_19768,c_2653]) ).
tcf(c_19827,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_19768,c_2626]) ).
tcf(c_19828,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_19768,c_2625]) ).
tcf(c_19829,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_2298]) ).
tcf(c_19830,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_2297]) ).
tcf(c_19831,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_2258]) ).
tcf(c_19832,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_2257]) ).
tcf(c_19833,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sdtsldt0(xm,xl)) = sdtpldt0(sz00,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19768,c_2224]) ).
tcf(c_19834,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sdtsldt0(xn,xl)) = sdtpldt0(sz00,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19768,c_2223]) ).
tcf(c_19835,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_59]) ).
tcf(c_19836,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_55]) ).
tcf(c_19837,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_161]) ).
tcf(c_19838,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_2011]) ).
tcf(c_19839,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_2010]) ).
tcf(c_19840,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_1974]) ).
tcf(c_19841,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_1973]) ).
tcf(c_19842,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_1967]) ).
tcf(c_19843,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_58]) ).
tcf(c_19844,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_54]) ).
tcf(c_19847,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sdtpldt0(sz00,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_19768,c_57]) ).
tcf(c_19848,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_19768,c_56]) ).
tcf(c_20123,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xm)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10919,c_68]) ).
tcf(c_20130,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xn)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10920,c_68]) ).
tcf(c_20136,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10923,c_68]) ).
tcf(c_20143,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xl)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10924,c_68]) ).
tcf(c_20153,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13940,c_69]) ).
tcf(c_20159,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13941,c_69]) ).
tcf(c_20164,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13946,c_68]) ).
tcf(c_20181,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13947,c_68]) ).
tcf(c_20188,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13953,c_69]) ).
tcf(c_20194,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13954,c_69]) ).
tcf(c_20199,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14281,c_68]) ).
tcf(c_20205,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14282,c_68]) ).
tcf(c_20207,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_8823,c_103,c_49,c_2078,c_8823]) ).
tcf(c_20211,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20207,c_12800]) ).
tcf(c_20212,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20207,c_12799]) ).
tcf(c_20213,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20207,c_12798]) ).
tcf(c_20214,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20207,c_12802]) ).
tcf(c_20215,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20207,c_12801]) ).
tcf(c_20216,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20207,c_12794]) ).
tcf(c_20217,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_1940]) ).
tcf(c_20218,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_11833]) ).
tcf(c_20219,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_11832]) ).
tcf(c_20220,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_11831]) ).
tcf(c_20221,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_11835]) ).
tcf(c_20222,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_11834]) ).
tcf(c_20223,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_11827]) ).
tcf(c_20224,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_1939]) ).
tcf(c_20225,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20207,c_10803]) ).
tcf(c_20226,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20207,c_10802]) ).
tcf(c_20227,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20207,c_10805]) ).
tcf(c_20228,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20207,c_10804]) ).
tcf(c_20229,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20207,c_10801]) ).
tcf(c_20230,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20207,c_10797]) ).
tcf(c_20231,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_1926]) ).
tcf(c_20232,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_9189]) ).
tcf(c_20233,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_9188]) ).
tcf(c_20234,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_9191]) ).
tcf(c_20235,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_9190]) ).
tcf(c_20236,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_9187]) ).
tcf(c_20237,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_9183]) ).
tcf(c_20238,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_1925]) ).
tcf(c_20239,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_2009]) ).
tcf(c_20240,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_2008]) ).
tcf(c_20241,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_2007]) ).
tcf(c_20242,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_2004]) ).
tcf(c_20243,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_20207,c_5044]) ).
tcf(c_20244,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_20207,c_5043]) ).
tcf(c_20245,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_20207,c_4926]) ).
tcf(c_20246,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_20207,c_4925]) ).
tcf(c_20247,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_20207,c_4833]) ).
tcf(c_20248,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_20207,c_4832]) ).
tcf(c_20249,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_20207,c_4774]) ).
tcf(c_20250,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_20207,c_4773]) ).
tcf(c_20251,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_1972]) ).
tcf(c_20252,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_1971]) ).
tcf(c_20253,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_3527]) ).
tcf(c_20254,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_3526]) ).
tcf(c_20255,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_3478]) ).
tcf(c_20256,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_3477]) ).
tcf(c_20257,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_1970]) ).
tcf(c_20258,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_20207,c_2777]) ).
tcf(c_20259,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_20207,c_2776]) ).
tcf(c_20260,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sdtasdt0(X1,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_65]) ).
tcf(c_20261,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_64]) ).
tcf(c_20262,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_20207,c_2727]) ).
tcf(c_20263,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_20207,c_2726]) ).
tcf(c_20264,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_20207,c_2654]) ).
tcf(c_20265,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_20207,c_2653]) ).
tcf(c_20266,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_20207,c_2626]) ).
tcf(c_20267,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_20207,c_2625]) ).
tcf(c_20268,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_2298]) ).
tcf(c_20269,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_2297]) ).
tcf(c_20270,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_2258]) ).
tcf(c_20271,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_2257]) ).
tcf(c_20272,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sdtsldt0(xm,xl)) = sdtpldt0(sz00,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20207,c_2224]) ).
tcf(c_20273,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sdtsldt0(xn,xl)) = sdtpldt0(sz00,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20207,c_2223]) ).
tcf(c_20274,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_59]) ).
tcf(c_20275,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_55]) ).
tcf(c_20276,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_161]) ).
tcf(c_20277,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_2011]) ).
tcf(c_20278,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_2010]) ).
tcf(c_20279,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_1974]) ).
tcf(c_20280,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_1973]) ).
tcf(c_20281,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_1967]) ).
tcf(c_20282,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_58]) ).
tcf(c_20283,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_54]) ).
tcf(c_20286,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sdtpldt0(sz00,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20207,c_57]) ).
tcf(c_20287,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20207,c_56]) ).
tcf(c_20481,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_8962,c_101,c_49,c_2068,c_5557]) ).
tcf(c_20483,plain,
aNaturalNumber0(sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_1898,c_20481]) ).
tcf(c_20484,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20481,c_12800]) ).
tcf(c_20485,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20481,c_12799]) ).
tcf(c_20486,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20481,c_12798]) ).
tcf(c_20487,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20481,c_12802]) ).
tcf(c_20488,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20481,c_12801]) ).
tcf(c_20489,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20481,c_12794]) ).
tcf(c_20490,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_1940]) ).
tcf(c_20491,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_11833]) ).
tcf(c_20492,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_11832]) ).
tcf(c_20493,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_11831]) ).
tcf(c_20494,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_11835]) ).
tcf(c_20495,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_11834]) ).
tcf(c_20496,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_11827]) ).
tcf(c_20497,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_1939]) ).
tcf(c_20498,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20481,c_10803]) ).
tcf(c_20499,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20481,c_10802]) ).
tcf(c_20500,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20481,c_10805]) ).
tcf(c_20501,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20481,c_10804]) ).
tcf(c_20502,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20481,c_10801]) ).
tcf(c_20503,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20481,c_10797]) ).
tcf(c_20504,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_1926]) ).
tcf(c_20505,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_9189]) ).
tcf(c_20506,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_9188]) ).
tcf(c_20507,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_9191]) ).
tcf(c_20508,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_9190]) ).
tcf(c_20509,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_9187]) ).
tcf(c_20510,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_9183]) ).
tcf(c_20511,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_1925]) ).
tcf(c_20512,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_2009]) ).
tcf(c_20513,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_2008]) ).
tcf(c_20514,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_2007]) ).
tcf(c_20515,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_2004]) ).
tcf(c_20516,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_20481,c_5044]) ).
tcf(c_20517,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_20481,c_5043]) ).
tcf(c_20518,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_20481,c_4926]) ).
tcf(c_20519,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_20481,c_4925]) ).
tcf(c_20520,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_20481,c_4833]) ).
tcf(c_20521,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_20481,c_4832]) ).
tcf(c_20522,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_20481,c_4774]) ).
tcf(c_20523,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_20481,c_4773]) ).
tcf(c_20524,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_1972]) ).
tcf(c_20525,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_1971]) ).
tcf(c_20526,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_3527]) ).
tcf(c_20527,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_3526]) ).
tcf(c_20528,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_3478]) ).
tcf(c_20529,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_3477]) ).
tcf(c_20530,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_1970]) ).
tcf(c_20531,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_20481,c_2777]) ).
tcf(c_20532,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_20481,c_2776]) ).
tcf(c_20533,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xl))),sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_65]) ).
tcf(c_20534,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X1)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_64]) ).
tcf(c_20535,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_20481,c_2727]) ).
tcf(c_20536,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_20481,c_2726]) ).
tcf(c_20537,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_20481,c_2654]) ).
tcf(c_20538,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_20481,c_2653]) ).
tcf(c_20539,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_20481,c_2626]) ).
tcf(c_20540,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))),
inference(superposition,[status(thm)],[c_20481,c_2625]) ).
tcf(c_20541,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_2298]) ).
tcf(c_20542,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_2297]) ).
tcf(c_20543,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_2258]) ).
tcf(c_20544,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_2257]) ).
tcf(c_20545,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sdtsldt0(xm,xl)) = sdtpldt0(xl,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_20481,c_2224]) ).
tcf(c_20546,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sdtsldt0(xn,xl)) = sdtpldt0(xl,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_20481,c_2223]) ).
tcf(c_20547,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_59]) ).
tcf(c_20548,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_55]) ).
tcf(c_20549,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0),sdtpldt0(xl,sdtpldt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_161]) ).
tcf(c_20550,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_2011]) ).
tcf(c_20551,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_2010]) ).
tcf(c_20552,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_1974]) ).
tcf(c_20553,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_1973]) ).
tcf(c_20554,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_1967]) ).
tcf(c_20555,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_58]) ).
tcf(c_20556,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_54]) ).
tcf(c_20559,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sdtpldt0(xl,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_20481,c_57]) ).
tcf(c_20560,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(xl,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_20481,c_56]) ).
tcf(c_20741,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xn,xl)))
| ( sdtpldt0(xl,sdtsldt0(xn,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_14005,c_66]) ).
tcf(c_20742,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xn,xl)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtsldt0(xn,xl))) != sdtpldt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14005,c_67]) ).
tcf(c_20749,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0) != sdtpldt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14006,c_66]) ).
tcf(c_20750,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xn,xl)))
| ( sdtpldt0(xl,sdtsldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_14006,c_67]) ).
tcf(c_20751,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20483,c_12800]) ).
tcf(c_20752,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20483,c_12799]) ).
tcf(c_20753,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20483,c_12798]) ).
tcf(c_20754,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20483,c_12802]) ).
tcf(c_20755,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20483,c_12801]) ).
tcf(c_20756,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20483,c_12794]) ).
tcf(c_20757,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_1940]) ).
tcf(c_20758,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_11833]) ).
tcf(c_20759,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_11832]) ).
tcf(c_20760,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_11831]) ).
tcf(c_20761,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_11835]) ).
tcf(c_20762,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_11834]) ).
tcf(c_20763,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_11827]) ).
tcf(c_20764,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_1939]) ).
tcf(c_20765,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20483,c_10803]) ).
tcf(c_20766,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20483,c_10802]) ).
tcf(c_20767,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20483,c_10805]) ).
tcf(c_20768,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20483,c_10804]) ).
tcf(c_20769,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20483,c_10801]) ).
tcf(c_20770,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20483,c_10797]) ).
tcf(c_20771,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_1926]) ).
tcf(c_20772,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_9189]) ).
tcf(c_20773,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_9188]) ).
tcf(c_20774,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_9191]) ).
tcf(c_20775,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_9190]) ).
tcf(c_20776,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_9187]) ).
tcf(c_20777,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_9183]) ).
tcf(c_20778,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_1925]) ).
tcf(c_20779,plain,
sdtasdt0(sdtpldt0(xl,xl),xn) = sdtasdt0(xn,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_2009]) ).
tcf(c_20780,plain,
sdtasdt0(sdtpldt0(xl,xl),xm) = sdtasdt0(xm,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_2008]) ).
tcf(c_20781,plain,
sdtasdt0(sdtpldt0(xl,xl),xl) = sdtasdt0(xl,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_2007]) ).
tcf(c_20782,plain,
sdtasdt0(sdtpldt0(xl,xl),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_2004]) ).
tcf(c_20783,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_20483,c_5044]) ).
tcf(c_20784,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_20483,c_5043]) ).
tcf(c_20785,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_20483,c_4926]) ).
tcf(c_20786,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_20483,c_4925]) ).
tcf(c_20787,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_20483,c_4833]) ).
tcf(c_20788,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_20483,c_4832]) ).
tcf(c_20789,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_20483,c_4774]) ).
tcf(c_20790,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_20483,c_4773]) ).
tcf(c_20791,plain,
sdtpldt0(sdtpldt0(xl,xl),xn) = sdtpldt0(xn,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_1972]) ).
tcf(c_20792,plain,
sdtpldt0(sdtpldt0(xl,xl),xm) = sdtpldt0(xm,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_1971]) ).
tcf(c_20793,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,xl),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_3527]) ).
tcf(c_20794,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,xl),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_3526]) ).
tcf(c_20795,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_3478]) ).
tcf(c_20796,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_3477]) ).
tcf(c_20797,plain,
sdtpldt0(sdtpldt0(xl,xl),xl) = sdtpldt0(xl,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_1970]) ).
tcf(c_20798,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_20483,c_2777]) ).
tcf(c_20799,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_20483,c_2776]) ).
tcf(c_20800,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,xl)),sdtasdt0(X1,sdtpldt0(xl,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_65]) ).
tcf(c_20801,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xl),X0),sdtasdt0(sdtpldt0(xl,xl),X1)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_64]) ).
tcf(c_20802,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_20483,c_2727]) ).
tcf(c_20803,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_20483,c_2726]) ).
tcf(c_20804,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_20483,c_2654]) ).
tcf(c_20805,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_20483,c_2653]) ).
tcf(c_20806,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_20483,c_2626]) ).
tcf(c_20807,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_20483,c_2625]) ).
tcf(c_20808,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xl,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_2298]) ).
tcf(c_20809,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xl,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_2297]) ).
tcf(c_20810,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_2258]) ).
tcf(c_20811,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,xl),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_2257]) ).
tcf(c_20812,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),sdtsldt0(xm,xl)) = sdtpldt0(xl,xl) ) ),
inference(superposition,[status(thm)],[c_20483,c_2224]) ).
tcf(c_20813,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),sdtsldt0(xn,xl)) = sdtpldt0(xl,xl) ) ),
inference(superposition,[status(thm)],[c_20483,c_2223]) ).
tcf(c_20814,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xl),X0),X1) = sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_59]) ).
tcf(c_20815,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xl),X0),X1) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_55]) ).
tcf(c_20816,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xl),X0),sdtpldt0(xl,xl)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_161]) ).
tcf(c_20817,plain,
sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_2011]) ).
tcf(c_20818,plain,
sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_2010]) ).
tcf(c_20819,plain,
sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_1974]) ).
tcf(c_20820,plain,
sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_1973]) ).
tcf(c_20821,plain,
sdtpldt0(sdtpldt0(xl,xl),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_1967]) ).
tcf(c_20822,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xl),X0) = sdtasdt0(X0,sdtpldt0(xl,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_58]) ).
tcf(c_20823,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xl),X0) = sdtpldt0(X0,sdtpldt0(xl,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_54]) ).
tcf(c_20826,plain,
sdtpldt0(sz00,sdtpldt0(xl,xl)) = sdtpldt0(xl,xl),
inference(superposition,[status(thm)],[c_20483,c_57]) ).
tcf(c_20827,plain,
sdtpldt0(sdtpldt0(xl,xl),sz00) = sdtpldt0(xl,xl),
inference(superposition,[status(thm)],[c_20483,c_56]) ).
tcf(c_21135,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10925,c_68]) ).
tcf(c_21142,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xm)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10926,c_68]) ).
tcf(c_21189,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xn)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10927,c_68]) ).
tcf(c_21195,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20754,c_68]) ).
tcf(c_21201,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20755,c_68]) ).
tcf(c_21208,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20761,c_69]) ).
tcf(c_21214,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20762,c_69]) ).
tcf(c_21219,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20767,c_68]) ).
tcf(c_21225,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20768,c_68]) ).
tcf(c_21232,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20774,c_69]) ).
tcf(c_21238,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20775,c_69]) ).
tcf(c_21244,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,xl) ) ),
inference(superposition,[status(thm)],[c_20826,c_66]) ).
tcf(c_21245,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(X0,sdtpldt0(xl,xl)) != sdtpldt0(xl,xl) ) ),
inference(superposition,[status(thm)],[c_20826,c_67]) ).
tcf(c_21252,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sdtpldt0(xl,xl),X0) != sdtpldt0(xl,xl) ) ),
inference(superposition,[status(thm)],[c_20827,c_66]) ).
tcf(c_21253,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,xl) ) ),
inference(superposition,[status(thm)],[c_20827,c_67]) ).
tcf(c_21259,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xn,xl)))
| ( sdtpldt0(xm,sdtsldt0(xn,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_14353,c_66]) ).
tcf(c_21260,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xn,xl)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtsldt0(xn,xl))) != sdtpldt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14353,c_67]) ).
tcf(c_21267,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0) != sdtpldt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14354,c_66]) ).
tcf(c_21268,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xn,xl)))
| ( sdtpldt0(xm,sdtsldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_14354,c_67]) ).
tcf(c_21318,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10928,c_68]) ).
tcf(c_21324,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10929,c_68]) ).
tcf(c_21330,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10930,c_68]) ).
tcf(c_21336,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11256,c_68]) ).
tcf(c_21430,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14288,c_69]) ).
tcf(c_21436,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14289,c_69]) ).
tcf(c_21441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14294,c_68]) ).
tcf(c_21447,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14295,c_68]) ).
tcf(c_21496,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14301,c_69]) ).
tcf(c_21502,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14302,c_69]) ).
tcf(c_21507,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14569,c_68]) ).
tcf(c_21513,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14570,c_68]) ).
tcf(c_21520,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xl)))
| ( sdtpldt0(xn,sdtsldt0(xn,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_14641,c_66]) ).
tcf(c_21521,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xl)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtsldt0(xn,xl))) != sdtpldt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14641,c_67]) ).
tcf(c_21528,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0) != sdtpldt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14642,c_66]) ).
tcf(c_21529,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xl)))
| ( sdtpldt0(xn,sdtsldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_14642,c_67]) ).
tcf(c_21535,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xm,xl)))
| ( sdtpldt0(xl,sdtsldt0(xm,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_14962,c_66]) ).
tcf(c_21536,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xm,xl)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtsldt0(xm,xl))) != sdtpldt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_14962,c_67]) ).
tcf(c_21543,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0) != sdtpldt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_14963,c_66]) ).
tcf(c_21544,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtsldt0(xm,xl)))
| ( sdtpldt0(xl,sdtsldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_14963,c_67]) ).
tcf(c_21549,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11263,c_68]) ).
tcf(c_21555,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11311,c_68]) ).
tcf(c_21561,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11318,c_68]) ).
tcf(c_21567,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11365,c_68]) ).
tcf(c_21574,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14576,c_69]) ).
tcf(c_21580,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14577,c_69]) ).
tcf(c_21597,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14582,c_68]) ).
tcf(c_21603,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14583,c_68]) ).
tcf(c_21610,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14589,c_69]) ).
tcf(c_21616,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14590,c_69]) ).
tcf(c_21621,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14890,c_68]) ).
tcf(c_21627,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14891,c_68]) ).
tcf(c_21634,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xm,xl)))
| ( sdtpldt0(xm,sdtsldt0(xm,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_15343,c_66]) ).
tcf(c_21635,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xm,xl)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtsldt0(xm,xl))) != sdtpldt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_15343,c_67]) ).
tcf(c_21642,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0) != sdtpldt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_15344,c_66]) ).
tcf(c_21643,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtsldt0(xm,xl)))
| ( sdtpldt0(xm,sdtsldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_15344,c_67]) ).
tcf(c_21649,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xm,xl)))
| ( sdtpldt0(xn,sdtsldt0(xm,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_15636,c_66]) ).
tcf(c_21650,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xm,xl)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtsldt0(xm,xl))) != sdtpldt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_15636,c_67]) ).
tcf(c_21718,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0) != sdtpldt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_15637,c_66]) ).
tcf(c_21719,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtsldt0(xm,xl)))
| ( sdtpldt0(xn,sdtsldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_15637,c_67]) ).
tcf(c_21725,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xl)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11366,c_68]) ).
tcf(c_21732,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xm)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11367,c_68]) ).
tcf(c_21739,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xn)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11368,c_68]) ).
tcf(c_21745,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11371,c_68]) ).
tcf(c_21752,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14897,c_69]) ).
tcf(c_21758,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14898,c_69]) ).
tcf(c_21763,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14903,c_68]) ).
tcf(c_21769,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14904,c_68]) ).
tcf(c_21776,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14910,c_69]) ).
tcf(c_21782,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14911,c_69]) ).
tcf(c_21787,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15271,c_68]) ).
tcf(c_21793,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15272,c_68]) ).
tcf(c_21801,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtsldt0(xn,xl)))
| ( sdtasdt0(sz00,sdtsldt0(xn,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_16088,c_66]) ).
tcf(c_21802,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtsldt0(xn,xl)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtsldt0(xn,xl))) != sdtasdt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16088,c_67]) ).
tcf(c_21809,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0) != sdtasdt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16089,c_66]) ).
tcf(c_21810,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtsldt0(xn,xl)))
| ( sdtasdt0(sz00,sdtsldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_16089,c_67]) ).
tcf(c_21817,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xn,xl)))
| ( sdtasdt0(xl,sdtsldt0(xn,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_16374,c_66]) ).
tcf(c_21818,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xn,xl)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtsldt0(xn,xl))) != sdtasdt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16374,c_67]) ).
tcf(c_21855,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0) != sdtasdt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16375,c_66]) ).
tcf(c_21856,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xn,xl)))
| ( sdtasdt0(xl,sdtsldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_16375,c_67]) ).
tcf(c_21862,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xl)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11372,c_68]) ).
tcf(c_21868,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11373,c_68]) ).
tcf(c_21875,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xm)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11374,c_68]) ).
tcf(c_21882,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xn)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11375,c_68]) ).
tcf(c_21889,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15278,c_69]) ).
tcf(c_21895,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15279,c_69]) ).
tcf(c_21900,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15284,c_68]) ).
tcf(c_21924,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15285,c_68]) ).
tcf(c_21931,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15291,c_69]) ).
tcf(c_21937,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15292,c_69]) ).
tcf(c_21942,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15564,c_68]) ).
tcf(c_21948,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15565,c_68]) ).
tcf(c_21955,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xn,xl)))
| ( sdtasdt0(xm,sdtsldt0(xn,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_16907,c_66]) ).
tcf(c_21956,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xn,xl)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtsldt0(xn,xl))) != sdtasdt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16907,c_67]) ).
tcf(c_21992,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0) != sdtasdt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16908,c_66]) ).
tcf(c_21993,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xn,xl)))
| ( sdtasdt0(xm,sdtsldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_16908,c_67]) ).
tcf(c_21999,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xn,xl)))
| ( sdtasdt0(xn,sdtsldt0(xn,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_17191,c_66]) ).
tcf(c_22000,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xn,xl)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtsldt0(xn,xl))) != sdtasdt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_17191,c_67]) ).
tcf(c_22007,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0) != sdtasdt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_17192,c_66]) ).
tcf(c_22008,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xn,xl)))
| ( sdtasdt0(xn,sdtsldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_17192,c_67]) ).
tcf(c_22013,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11376,c_68]) ).
tcf(c_22019,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11377,c_68]) ).
tcf(c_22025,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11378,c_68]) ).
tcf(c_22031,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11493,c_68]) ).
tcf(c_22038,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15571,c_69]) ).
tcf(c_22044,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15572,c_69]) ).
tcf(c_22049,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15577,c_68]) ).
tcf(c_22081,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15578,c_68]) ).
tcf(c_22088,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15584,c_69]) ).
tcf(c_22094,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15585,c_69]) ).
tcf(c_22100,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16016,c_68]) ).
tcf(c_22136,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16017,c_68]) ).
tcf(c_22144,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtsldt0(xm,xl)))
| ( sdtasdt0(sz00,sdtsldt0(xm,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_17508,c_66]) ).
tcf(c_22145,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtsldt0(xm,xl)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtsldt0(xm,xl))) != sdtasdt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_17508,c_67]) ).
tcf(c_22152,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0) != sdtasdt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_17509,c_66]) ).
tcf(c_22153,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtsldt0(xm,xl)))
| ( sdtasdt0(sz00,sdtsldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_17509,c_67]) ).
tcf(c_22160,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl)))
| ( sdtasdt0(xl,sdtsldt0(xm,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_17824,c_66]) ).
tcf(c_22161,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtsldt0(xm,xl))) != sdtasdt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_17824,c_67]) ).
tcf(c_22169,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0) != sdtasdt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_17825,c_66]) ).
tcf(c_22170,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl)))
| ( sdtasdt0(xl,sdtsldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_17825,c_67]) ).
tcf(c_22176,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xl)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11494,c_68]) ).
tcf(c_22183,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xm)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11495,c_68]) ).
tcf(c_22190,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xn)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11496,c_68]) ).
tcf(c_22196,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11499,c_68]) ).
tcf(c_22204,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16023,c_69]) ).
tcf(c_22211,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16024,c_69]) ).
tcf(c_22237,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16029,c_68]) ).
tcf(c_22244,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16030,c_68]) ).
tcf(c_22252,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16036,c_69]) ).
tcf(c_22259,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16037,c_69]) ).
tcf(c_22265,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16302,c_68]) ).
tcf(c_22272,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16303,c_68]) ).
tcf(c_22279,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xm,xl)))
| ( sdtasdt0(xm,sdtsldt0(xm,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_18406,c_66]) ).
tcf(c_22280,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xm,xl)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtsldt0(xm,xl))) != sdtasdt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_18406,c_67]) ).
tcf(c_22287,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0) != sdtasdt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_18407,c_66]) ).
tcf(c_22288,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xm,xl)))
| ( sdtasdt0(xm,sdtsldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_18407,c_67]) ).
tcf(c_22294,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xm,xl)))
| ( sdtasdt0(xn,sdtsldt0(xm,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_18718,c_66]) ).
tcf(c_22295,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xm,xl)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtsldt0(xm,xl))) != sdtasdt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_18718,c_67]) ).
tcf(c_22302,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0) != sdtasdt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_18719,c_66]) ).
tcf(c_22303,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xm,xl)))
| ( sdtasdt0(xn,sdtsldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_18719,c_67]) ).
tcf(c_22309,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xl)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11500,c_68]) ).
tcf(c_22315,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11501,c_68]) ).
tcf(c_22359,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xm)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11502,c_68]) ).
tcf(c_22366,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xn)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11503,c_68]) ).
tcf(c_22374,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16309,c_69]) ).
tcf(c_22381,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16310,c_69]) ).
tcf(c_22387,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16315,c_68]) ).
tcf(c_22394,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16316,c_68]) ).
tcf(c_22402,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16322,c_69]) ).
tcf(c_22409,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16323,c_69]) ).
tcf(c_22414,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16835,c_68]) ).
tcf(c_22420,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16836,c_68]) ).
tcf(c_22427,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xl)))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_19235,c_66]) ).
tcf(c_22428,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xl)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xl))) != sdtpldt0(sz00,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_19235,c_67]) ).
tcf(c_22437,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xl)))
| ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0) != sdtpldt0(sz00,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_19236,c_66]) ).
tcf(c_22438,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xl)))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_19236,c_67]) ).
tcf(c_22444,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xm)))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_19847,c_66]) ).
tcf(c_22445,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xm)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xm))) != sdtpldt0(sz00,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19847,c_67]) ).
tcf(c_22487,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xm)))
| ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0) != sdtpldt0(sz00,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19848,c_66]) ).
tcf(c_22488,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xm)))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_19848,c_67]) ).
tcf(c_22493,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11504,c_68]) ).
tcf(c_22499,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xn)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11505,c_68]) ).
tcf(c_22505,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,xn)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11506,c_68]) ).
tcf(c_22519,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16842,c_69]) ).
tcf(c_22525,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16843,c_69]) ).
tcf(c_22530,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16848,c_68]) ).
tcf(c_22536,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16849,c_68]) ).
tcf(c_22569,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16855,c_69]) ).
tcf(c_22575,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16856,c_69]) ).
tcf(c_22580,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17119,c_68]) ).
tcf(c_22586,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17120,c_68]) ).
tcf(c_22593,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xn)))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_20286,c_66]) ).
tcf(c_22594,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xn)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xn))) != sdtpldt0(sz00,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20286,c_67]) ).
tcf(c_22603,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xn)))
| ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0) != sdtpldt0(sz00,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20287,c_66]) ).
tcf(c_22604,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xn)))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_20287,c_67]) ).
tcf(c_22611,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xl)))
| ( sdtpldt0(xl,sdtpldt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_20559,c_66]) ).
tcf(c_22612,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xl)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xl))) != sdtpldt0(xl,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_20559,c_67]) ).
tcf(c_22641,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xl)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0) != sdtpldt0(xl,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_20560,c_66]) ).
tcf(c_22642,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xl)))
| ( sdtpldt0(xl,sdtpldt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_20560,c_67]) ).
tcf(c_22679,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17126,c_69]) ).
tcf(c_22685,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17127,c_69]) ).
tcf(c_22690,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17132,c_68]) ).
tcf(c_22696,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17133,c_68]) ).
tcf(c_22734,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17139,c_69]) ).
tcf(c_22740,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17140,c_69]) ).
tcf(c_22746,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17436,c_68]) ).
tcf(c_22753,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17437,c_68]) ).
tcf(c_22755,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_2220,c_115,c_2220]) ).
tcf(c_22756,plain,
! [X0: $i] :
( ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(renaming,[status(thm)],[c_22755]) ).
tcf(c_22758,plain,
sdtsldt0(sdtasdt0(xl,sz00),xl) = sz00,
inference(superposition,[status(thm)],[c_49,c_22756]) ).
tcf(c_22759,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xl,sdtpldt0(X0,X1)),xl) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_22756]) ).
tcf(c_22760,plain,
! [X0: $i,X1: $i] :
( ( sdtsldt0(sdtasdt0(xl,sdtasdt0(X0,X1)),xl) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_22756]) ).
tcf(c_22761,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xl,sdtsldt0(X1,X0)),xl) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_22756]) ).
tcf(c_22762,plain,
sdtsldt0(sdtasdt0(xl,xl),xl) = xl,
inference(superposition,[status(thm)],[c_101,c_22756]) ).
tcf(c_22763,plain,
sdtsldt0(sdtasdt0(xl,xm),xl) = xm,
inference(superposition,[status(thm)],[c_102,c_22756]) ).
tcf(c_22764,plain,
sdtsldt0(sdtasdt0(xl,xn),xl) = xn,
inference(superposition,[status(thm)],[c_103,c_22756]) ).
tcf(c_22765,plain,
sdtsldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),xl) = sdtsldt0(xn,xl),
inference(superposition,[status(thm)],[c_111,c_22756]) ).
tcf(c_22766,plain,
sdtsldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xl) = sdtsldt0(xm,xl),
inference(superposition,[status(thm)],[c_113,c_22756]) ).
tcf(c_22767,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xl) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_5163,c_22756]) ).
tcf(c_22768,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),xl) = sdtpldt0(sz00,xl),
inference(superposition,[status(thm)],[c_2306,c_22756]) ).
tcf(c_22769,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),xl) = sdtpldt0(sz00,xm),
inference(superposition,[status(thm)],[c_2439,c_22756]) ).
tcf(c_22770,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),xl) = sdtpldt0(sz00,xn),
inference(superposition,[status(thm)],[c_3105,c_22756]) ).
tcf(c_22771,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl))),xl) = sdtpldt0(sz00,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_8380,c_22756]) ).
tcf(c_22772,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl))),xl) = sdtpldt0(sz00,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_8616,c_22756]) ).
tcf(c_22773,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl))),xl) = sdtasdt0(xl,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16296,c_22756]) ).
tcf(c_22774,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl))),xl) = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_17746,c_22756]) ).
tcf(c_22775,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),xl) = sdtpldt0(sz00,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_19156,c_22756]) ).
tcf(c_22776,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_4110,c_22756]) ).
tcf(c_22777,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),xl) = sdtasdt0(sz00,xl),
inference(superposition,[status(thm)],[c_6040,c_22756]) ).
tcf(c_22778,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_4519,c_22756]) ).
tcf(c_22779,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),xl) = sdtpldt0(xl,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_20481,c_22756]) ).
tcf(c_22780,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),xl) = sdtasdt0(sz00,xm),
inference(superposition,[status(thm)],[c_6231,c_22756]) ).
tcf(c_22781,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),xl) = sdtasdt0(sz00,xn),
inference(superposition,[status(thm)],[c_6510,c_22756]) ).
tcf(c_22782,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_7084,c_22756]) ).
tcf(c_22783,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),xl) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_7544,c_22756]) ).
tcf(c_22784,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl))),xl) = sdtpldt0(xl,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_13928,c_22756]) ).
tcf(c_22785,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl))),xl) = sdtpldt0(xm,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_14276,c_22756]) ).
tcf(c_22786,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl))),xl) = sdtpldt0(xn,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_14564,c_22756]) ).
tcf(c_22787,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl))),xl) = sdtpldt0(xl,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_14885,c_22756]) ).
tcf(c_22788,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl))),xl) = sdtpldt0(xm,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_15266,c_22756]) ).
tcf(c_22789,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl))),xl) = sdtpldt0(xn,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_15559,c_22756]) ).
tcf(c_22790,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl))),xl) = sdtasdt0(sz00,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16010,c_22756]) ).
tcf(c_22791,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl))),xl) = sdtasdt0(xm,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_16830,c_22756]) ).
tcf(c_22792,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl))),xl) = sdtasdt0(xn,sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_17114,c_22756]) ).
tcf(c_22793,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),xl) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_8073,c_22756]) ).
tcf(c_22794,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl))),xl) = sdtasdt0(sz00,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_17430,c_22756]) ).
tcf(c_22795,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl))),xl) = sdtasdt0(xm,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_18329,c_22756]) ).
tcf(c_22796,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),xl) = sdtasdt0(xn,sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_18641,c_22756]) ).
tcf(c_22797,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),xl) = sdtpldt0(sz00,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_19768,c_22756]) ).
tcf(c_22798,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),xl) = sdtpldt0(sz00,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20207,c_22756]) ).
tcf(c_22799,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,xl)),xl) = sdtpldt0(xl,xl),
inference(superposition,[status(thm)],[c_20483,c_22756]) ).
tcf(c_22916,plain,
sdtsldt0(sdtasdt0(sz00,xl),xl) = sz00,
inference(superposition,[status(thm)],[c_5926,c_22758]) ).
tcf(c_22917,plain,
sdtsldt0(sz00,xl) = sz00,
inference(superposition,[status(thm)],[c_1904,c_22758]) ).
tcf(c_22948,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17443,c_69]) ).
tcf(c_22955,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17444,c_69]) ).
tcf(c_22961,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17449,c_68]) ).
tcf(c_22968,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17450,c_68]) ).
tcf(c_22976,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17456,c_69]) ).
tcf(c_22990,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17457,c_69]) ).
tcf(c_22991,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sz00),xm) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_2221]) ).
tcf(c_22992,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(X0,X1)),xm) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2221]) ).
tcf(c_22993,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(X0,X1)),xm) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2221]) ).
tcf(c_22994,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xm )
| ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xm,sdtsldt0(X1,X0)),xm) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2221]) ).
tcf(c_22995,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,xl),xm) = xl ) ),
inference(superposition,[status(thm)],[c_101,c_2221]) ).
tcf(c_22996,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,xm),xm) = xm ) ),
inference(superposition,[status(thm)],[c_102,c_2221]) ).
tcf(c_22997,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,xn),xm) = xn ) ),
inference(superposition,[status(thm)],[c_103,c_2221]) ).
tcf(c_22998,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),xm) = sdtsldt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_111,c_2221]) ).
tcf(c_22999,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),xm) = sdtsldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_113,c_2221]) ).
tcf(c_23000,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_5163,c_2221]) ).
tcf(c_23001,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),xm) = sdtpldt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_2306,c_2221]) ).
tcf(c_23002,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),xm) = sdtpldt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_2439,c_2221]) ).
tcf(c_23003,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),xm) = sdtpldt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_3105,c_2221]) ).
tcf(c_23004,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl))),xm) = sdtpldt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_8380,c_2221]) ).
tcf(c_23005,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl))),xm) = sdtpldt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_8616,c_2221]) ).
tcf(c_23006,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl))),xm) = sdtasdt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16296,c_2221]) ).
tcf(c_23007,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl))),xm) = sdtasdt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_17746,c_2221]) ).
tcf(c_23008,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),xm) = sdtpldt0(sz00,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_19156,c_2221]) ).
tcf(c_23009,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xl,xm)),xm) = sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4110,c_2221]) ).
tcf(c_23010,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),xm) = sdtasdt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_6040,c_2221]) ).
tcf(c_23011,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xl,xn)),xm) = sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4519,c_2221]) ).
tcf(c_23012,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),xm) = sdtpldt0(xl,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_20481,c_2221]) ).
tcf(c_23013,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),xm) = sdtasdt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_6231,c_2221]) ).
tcf(c_23014,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),xm) = sdtasdt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_6510,c_2221]) ).
tcf(c_23015,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(xl,xm)),xm) = sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_7084,c_2221]) ).
tcf(c_23016,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(xl,xn)),xm) = sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_7544,c_2221]) ).
tcf(c_23017,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl))),xm) = sdtpldt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_13928,c_2221]) ).
tcf(c_23018,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl))),xm) = sdtpldt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14276,c_2221]) ).
tcf(c_23019,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl))),xm) = sdtpldt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14564,c_2221]) ).
tcf(c_23020,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl))),xm) = sdtpldt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_14885,c_2221]) ).
tcf(c_23021,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl))),xm) = sdtpldt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_15266,c_2221]) ).
tcf(c_23022,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl))),xm) = sdtpldt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_15559,c_2221]) ).
tcf(c_23023,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl))),xm) = sdtasdt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16010,c_2221]) ).
tcf(c_23024,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl))),xm) = sdtasdt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16830,c_2221]) ).
tcf(c_23025,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl))),xm) = sdtasdt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_17114,c_2221]) ).
tcf(c_23026,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(xm,xn)),xm) = sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_8073,c_2221]) ).
tcf(c_23027,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl))),xm) = sdtasdt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_17430,c_2221]) ).
tcf(c_23028,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl))),xm) = sdtasdt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_18329,c_2221]) ).
tcf(c_23029,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl))),xm) = sdtasdt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_18641,c_2221]) ).
tcf(c_23030,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),xm) = sdtpldt0(sz00,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19768,c_2221]) ).
tcf(c_23031,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),xm) = sdtpldt0(sz00,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20207,c_2221]) ).
tcf(c_23032,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xl,xl)),xm) = sdtpldt0(xl,xl) ) ),
inference(superposition,[status(thm)],[c_20483,c_2221]) ).
tcf(c_23278,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(sz00,xm),xm) = sz00 ) ),
inference(superposition,[status(thm)],[c_5927,c_22991]) ).
tcf(c_23279,plain,
( ( sz00 = xm )
| ( sdtsldt0(sz00,xm) = sz00 ) ),
inference(superposition,[status(thm)],[c_1905,c_22991]) ).
tcf(c_23281,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xl,xm),xm) = xl ) ),
inference(superposition,[status(thm)],[c_7031,c_22995]) ).
tcf(c_23321,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17752,c_68]) ).
tcf(c_23328,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17753,c_68]) ).
tcf(c_23336,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17759,c_69]) ).
tcf(c_23343,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17760,c_69]) ).
tcf(c_23349,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17765,c_68]) ).
tcf(c_23356,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17766,c_68]) ).
tcf(c_23359,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sz00),xn) = sz00 ) ),
inference(superposition,[status(thm)],[c_49,c_2222]) ).
tcf(c_23360,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(X0,X1)),xn) = sdtpldt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2222]) ).
tcf(c_23361,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(X0,X1)),xn) = sdtasdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2222]) ).
tcf(c_23362,plain,
! [X0: $i,X1: $i] :
( ( sz00 = xn )
| ( X0 = sz00 )
| ( sdtsldt0(sdtasdt0(xn,sdtsldt0(X1,X0)),xn) = sdtsldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2222]) ).
tcf(c_23363,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,xl),xn) = xl ) ),
inference(superposition,[status(thm)],[c_101,c_2222]) ).
tcf(c_23364,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,xm),xn) = xm ) ),
inference(superposition,[status(thm)],[c_102,c_2222]) ).
tcf(c_23365,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,xn),xn) = xn ) ),
inference(superposition,[status(thm)],[c_103,c_2222]) ).
tcf(c_23366,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),xn) = sdtsldt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_111,c_2222]) ).
tcf(c_23367,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),xn) = sdtsldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_113,c_2222]) ).
tcf(c_23368,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xm,xn)),xn) = sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_5163,c_2222]) ).
tcf(c_23369,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),xn) = sdtpldt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_2306,c_2222]) ).
tcf(c_23370,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),xn) = sdtpldt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_2439,c_2222]) ).
tcf(c_23371,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),xn) = sdtpldt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_3105,c_2222]) ).
tcf(c_23372,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl))),xn) = sdtpldt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_8380,c_2222]) ).
tcf(c_23373,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl))),xn) = sdtpldt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_8616,c_2222]) ).
tcf(c_23374,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl))),xn) = sdtasdt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16296,c_2222]) ).
tcf(c_23375,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))),xn) = sdtasdt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_17746,c_2222]) ).
tcf(c_23376,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),xn) = sdtpldt0(sz00,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_19156,c_2222]) ).
tcf(c_23377,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xl,xm)),xn) = sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_4110,c_2222]) ).
tcf(c_23378,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),xn) = sdtasdt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_6040,c_2222]) ).
tcf(c_23379,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xl,xn)),xn) = sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_4519,c_2222]) ).
tcf(c_23380,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),xn) = sdtpldt0(xl,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_20481,c_2222]) ).
tcf(c_23381,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),xn) = sdtasdt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_6231,c_2222]) ).
tcf(c_23382,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),xn) = sdtasdt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_6510,c_2222]) ).
tcf(c_23383,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(xl,xm)),xn) = sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_7084,c_2222]) ).
tcf(c_23384,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(xl,xn)),xn) = sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_7544,c_2222]) ).
tcf(c_23385,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl))),xn) = sdtpldt0(xl,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_13928,c_2222]) ).
tcf(c_23386,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl))),xn) = sdtpldt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14276,c_2222]) ).
tcf(c_23387,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl))),xn) = sdtpldt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_14564,c_2222]) ).
tcf(c_23388,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl))),xn) = sdtpldt0(xl,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_14885,c_2222]) ).
tcf(c_23389,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl))),xn) = sdtpldt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_15266,c_2222]) ).
tcf(c_23390,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl))),xn) = sdtpldt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_15559,c_2222]) ).
tcf(c_23391,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl))),xn) = sdtasdt0(sz00,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16010,c_2222]) ).
tcf(c_23392,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl))),xn) = sdtasdt0(xm,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_16830,c_2222]) ).
tcf(c_23393,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl))),xn) = sdtasdt0(xn,sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_17114,c_2222]) ).
tcf(c_23394,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(xm,xn)),xn) = sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_8073,c_2222]) ).
tcf(c_23395,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl))),xn) = sdtasdt0(sz00,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_17430,c_2222]) ).
tcf(c_23396,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl))),xn) = sdtasdt0(xm,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_18329,c_2222]) ).
tcf(c_23397,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl))),xn) = sdtasdt0(xn,sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_18641,c_2222]) ).
tcf(c_23398,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),xn) = sdtpldt0(sz00,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19768,c_2222]) ).
tcf(c_23399,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),xn) = sdtpldt0(sz00,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20207,c_2222]) ).
tcf(c_23400,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xl,xl)),xn) = sdtpldt0(xl,xl) ) ),
inference(superposition,[status(thm)],[c_20483,c_2222]) ).
tcf(c_23464,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(sz00,xn),xn) = sz00 ) ),
inference(superposition,[status(thm)],[c_5928,c_23359]) ).
tcf(c_23465,plain,
( ( sz00 = xn )
| ( sdtsldt0(sz00,xn) = sz00 ) ),
inference(superposition,[status(thm)],[c_1906,c_23359]) ).
tcf(c_23467,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xl,xn),xn) = xl ) ),
inference(superposition,[status(thm)],[c_7032,c_23363]) ).
tcf(c_23518,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xn,xl)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12092,c_69]) ).
tcf(c_23524,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xn,xl)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12099,c_69]) ).
tcf(c_23533,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17772,c_69]) ).
tcf(c_23540,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17773,c_69]) ).
tcf(c_23545,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18334,c_68]) ).
tcf(c_23551,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18335,c_68]) ).
tcf(c_23558,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18341,c_69]) ).
tcf(c_23581,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18342,c_69]) ).
tcf(c_23582,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xm,xn),xn) = xm ) ),
inference(superposition,[status(thm)],[c_8016,c_23364]) ).
tcf(c_23598,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2317]) ).
tcf(c_23599,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2317]) ).
tcf(c_23600,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2317]) ).
tcf(c_23606,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_5163,c_2317]) ).
tcf(c_23608,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2439,c_2317]) ).
tcf(c_23609,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_3105,c_2317]) ).
tcf(c_23610,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_2317]) ).
tcf(c_23611,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_2317]) ).
tcf(c_23612,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_2317]) ).
tcf(c_23613,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_2317]) ).
tcf(c_23614,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_2317]) ).
tcf(c_23615,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_4110,c_2317]) ).
tcf(c_23616,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_2317]) ).
tcf(c_23617,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_4519,c_2317]) ).
tcf(c_23618,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_2317]) ).
tcf(c_23619,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6231,c_2317]) ).
tcf(c_23620,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6510,c_2317]) ).
tcf(c_23621,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_7084,c_2317]) ).
tcf(c_23622,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_7544,c_2317]) ).
tcf(c_23623,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_2317]) ).
tcf(c_23624,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_2317]) ).
tcf(c_23625,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_2317]) ).
tcf(c_23626,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_2317]) ).
tcf(c_23627,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_2317]) ).
tcf(c_23628,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_2317]) ).
tcf(c_23629,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_2317]) ).
tcf(c_23630,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_2317]) ).
tcf(c_23631,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_2317]) ).
tcf(c_23632,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_8073,c_2317]) ).
tcf(c_23633,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_2317]) ).
tcf(c_23634,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_2317]) ).
tcf(c_23635,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_2317]) ).
tcf(c_23636,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_2317]) ).
tcf(c_23637,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_2317]) ).
tcf(c_23638,plain,
sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_20483,c_2317]) ).
tcf(c_23766,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2318]) ).
tcf(c_23767,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2318]) ).
tcf(c_23768,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2318]) ).
tcf(c_23774,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_5163,c_2318]) ).
tcf(c_23776,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2439,c_2318]) ).
tcf(c_23777,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_3105,c_2318]) ).
tcf(c_23778,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_2318]) ).
tcf(c_23779,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_2318]) ).
tcf(c_23780,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_2318]) ).
tcf(c_23781,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_2318]) ).
tcf(c_23782,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_2318]) ).
tcf(c_23783,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_4110,c_2318]) ).
tcf(c_23784,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_2318]) ).
tcf(c_23785,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_4519,c_2318]) ).
tcf(c_23786,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_2318]) ).
tcf(c_23787,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6231,c_2318]) ).
tcf(c_23788,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6510,c_2318]) ).
tcf(c_23789,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_7084,c_2318]) ).
tcf(c_23790,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_7544,c_2318]) ).
tcf(c_23791,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_2318]) ).
tcf(c_23792,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_2318]) ).
tcf(c_23793,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_2318]) ).
tcf(c_23794,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_2318]) ).
tcf(c_23795,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_2318]) ).
tcf(c_23796,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_2318]) ).
tcf(c_23797,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_2318]) ).
tcf(c_23798,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_2318]) ).
tcf(c_23799,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_2318]) ).
tcf(c_23800,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_8073,c_2318]) ).
tcf(c_23801,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_2318]) ).
tcf(c_23802,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_2318]) ).
tcf(c_23803,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_2318]) ).
tcf(c_23804,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_2318]) ).
tcf(c_23805,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_2318]) ).
tcf(c_23806,plain,
sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_20483,c_2318]) ).
tcf(c_23917,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xn,xl)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtsldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12167,c_69]) ).
tcf(c_23924,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12182,c_69]) ).
tcf(c_23930,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xm,xl)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12216,c_69]) ).
tcf(c_23936,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xm,xl)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtsldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12223,c_69]) ).
tcf(c_23941,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18347,c_68]) ).
tcf(c_23947,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18348,c_68]) ).
tcf(c_23954,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18354,c_69]) ).
tcf(c_23969,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18355,c_69]) ).
tcf(c_23974,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18646,c_68]) ).
tcf(c_24011,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18647,c_68]) ).
tcf(c_24018,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18653,c_69]) ).
tcf(c_24024,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18654,c_69]) ).
tcf(c_24026,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2450]) ).
tcf(c_24027,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2450]) ).
tcf(c_24028,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2450]) ).
tcf(c_24034,plain,
sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_5163,c_2450]) ).
tcf(c_24037,plain,
sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_3105,c_2450]) ).
tcf(c_24038,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_2450]) ).
tcf(c_24039,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_2450]) ).
tcf(c_24040,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_2450]) ).
tcf(c_24041,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_2450]) ).
tcf(c_24042,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_2450]) ).
tcf(c_24043,plain,
sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_4110,c_2450]) ).
tcf(c_24044,plain,
sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6040,c_2450]) ).
tcf(c_24045,plain,
sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_4519,c_2450]) ).
tcf(c_24046,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_2450]) ).
tcf(c_24047,plain,
sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_2450]) ).
tcf(c_24048,plain,
sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6510,c_2450]) ).
tcf(c_24049,plain,
sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_7084,c_2450]) ).
tcf(c_24050,plain,
sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_7544,c_2450]) ).
tcf(c_24051,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_2450]) ).
tcf(c_24052,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_2450]) ).
tcf(c_24053,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_2450]) ).
tcf(c_24054,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_2450]) ).
tcf(c_24055,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_2450]) ).
tcf(c_24056,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_2450]) ).
tcf(c_24057,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_2450]) ).
tcf(c_24058,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_2450]) ).
tcf(c_24059,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_2450]) ).
tcf(c_24060,plain,
sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_8073,c_2450]) ).
tcf(c_24061,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_2450]) ).
tcf(c_24062,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_2450]) ).
tcf(c_24063,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_2450]) ).
tcf(c_24064,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_2450]) ).
tcf(c_24065,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_2450]) ).
tcf(c_24066,plain,
sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_20483,c_2450]) ).
tcf(c_24188,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_2451]) ).
tcf(c_24189,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_2451]) ).
tcf(c_24190,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2451]) ).
tcf(c_24196,plain,
sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_5163,c_2451]) ).
tcf(c_24199,plain,
sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_3105,c_2451]) ).
tcf(c_24200,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_2451]) ).
tcf(c_24201,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_2451]) ).
tcf(c_24202,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_2451]) ).
tcf(c_24203,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_2451]) ).
tcf(c_24204,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_2451]) ).
tcf(c_24205,plain,
sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_4110,c_2451]) ).
tcf(c_24206,plain,
sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6040,c_2451]) ).
tcf(c_24207,plain,
sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_4519,c_2451]) ).
tcf(c_24208,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_2451]) ).
tcf(c_24209,plain,
sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_2451]) ).
tcf(c_24210,plain,
sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6510,c_2451]) ).
tcf(c_24211,plain,
sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_7084,c_2451]) ).
tcf(c_24212,plain,
sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_7544,c_2451]) ).
tcf(c_24213,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_2451]) ).
tcf(c_24214,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_2451]) ).
tcf(c_24215,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_2451]) ).
tcf(c_24216,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_2451]) ).
tcf(c_24217,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_2451]) ).
tcf(c_24218,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_2451]) ).
tcf(c_24219,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_2451]) ).
tcf(c_24220,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_2451]) ).
tcf(c_24221,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_2451]) ).
tcf(c_24222,plain,
sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_8073,c_2451]) ).
tcf(c_24223,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_2451]) ).
tcf(c_24224,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_2451]) ).
tcf(c_24225,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_2451]) ).
tcf(c_24226,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_2451]) ).
tcf(c_24227,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_2451]) ).
tcf(c_24228,plain,
sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_20483,c_2451]) ).
tcf(c_24452,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_3122]) ).
tcf(c_24453,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_3122]) ).
tcf(c_24454,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_3122]) ).
tcf(c_24460,plain,
sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_5163,c_3122]) ).
tcf(c_24464,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_3122]) ).
tcf(c_24465,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_3122]) ).
tcf(c_24466,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_3122]) ).
tcf(c_24467,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_3122]) ).
tcf(c_24468,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_3122]) ).
tcf(c_24469,plain,
sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_4110,c_3122]) ).
tcf(c_24470,plain,
sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6040,c_3122]) ).
tcf(c_24471,plain,
sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_4519,c_3122]) ).
tcf(c_24472,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_3122]) ).
tcf(c_24473,plain,
sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6231,c_3122]) ).
tcf(c_24474,plain,
sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_3122]) ).
tcf(c_24475,plain,
sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_7084,c_3122]) ).
tcf(c_24476,plain,
sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_7544,c_3122]) ).
tcf(c_24477,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_3122]) ).
tcf(c_24478,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_3122]) ).
tcf(c_24479,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_3122]) ).
tcf(c_24480,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_3122]) ).
tcf(c_24481,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_3122]) ).
tcf(c_24482,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_3122]) ).
tcf(c_24483,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_3122]) ).
tcf(c_24484,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_3122]) ).
tcf(c_24485,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_3122]) ).
tcf(c_24486,plain,
sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_8073,c_3122]) ).
tcf(c_24487,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_3122]) ).
tcf(c_24488,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_3122]) ).
tcf(c_24489,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_3122]) ).
tcf(c_24490,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_3122]) ).
tcf(c_24491,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_3122]) ).
tcf(c_24492,plain,
sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20483,c_3122]) ).
tcf(c_24496,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_3123]) ).
tcf(c_24497,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_3123]) ).
tcf(c_24498,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_3123]) ).
tcf(c_24504,plain,
sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_5163,c_3123]) ).
tcf(c_24508,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_3123]) ).
tcf(c_24509,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_3123]) ).
tcf(c_24510,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_3123]) ).
tcf(c_24511,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_3123]) ).
tcf(c_24512,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_3123]) ).
tcf(c_24513,plain,
sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_4110,c_3123]) ).
tcf(c_24514,plain,
sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6040,c_3123]) ).
tcf(c_24515,plain,
sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_4519,c_3123]) ).
tcf(c_24516,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_3123]) ).
tcf(c_24517,plain,
sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6231,c_3123]) ).
tcf(c_24518,plain,
sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_3123]) ).
tcf(c_24519,plain,
sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_7084,c_3123]) ).
tcf(c_24520,plain,
sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_7544,c_3123]) ).
tcf(c_24521,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_3123]) ).
tcf(c_24522,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_3123]) ).
tcf(c_24523,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_3123]) ).
tcf(c_24524,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_3123]) ).
tcf(c_24525,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_3123]) ).
tcf(c_24526,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_3123]) ).
tcf(c_24527,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_3123]) ).
tcf(c_24528,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_3123]) ).
tcf(c_24529,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_3123]) ).
tcf(c_24530,plain,
sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_8073,c_3123]) ).
tcf(c_24531,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_3123]) ).
tcf(c_24532,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_3123]) ).
tcf(c_24533,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_3123]) ).
tcf(c_24534,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_3123]) ).
tcf(c_24535,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_3123]) ).
tcf(c_24536,plain,
sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20483,c_3123]) ).
tcf(c_24684,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12278,c_69]) ).
tcf(c_24691,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xl)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12279,c_69]) ).
tcf(c_24698,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xm)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12280,c_69]) ).
tcf(c_24705,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xn)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12281,c_69]) ).
tcf(c_24710,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18659,c_68]) ).
tcf(c_24716,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18660,c_68]) ).
tcf(c_24723,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18666,c_69]) ).
tcf(c_24729,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18667,c_69]) ).
tcf(c_24749,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19163,c_68]) ).
tcf(c_24757,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19164,c_68]) ).
tcf(c_24799,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19170,c_69]) ).
tcf(c_24807,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19171,c_69]) ).
tcf(c_24809,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4137]) ).
tcf(c_24810,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4137]) ).
tcf(c_24811,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_4137]) ).
tcf(c_24817,plain,
sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_5163,c_4137]) ).
tcf(c_24821,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_4137]) ).
tcf(c_24822,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_4137]) ).
tcf(c_24823,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_4137]) ).
tcf(c_24824,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_4137]) ).
tcf(c_24825,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_4137]) ).
tcf(c_24827,plain,
sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_6040,c_4137]) ).
tcf(c_24828,plain,
sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4519,c_4137]) ).
tcf(c_24829,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_4137]) ).
tcf(c_24830,plain,
sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_6231,c_4137]) ).
tcf(c_24831,plain,
sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_6510,c_4137]) ).
tcf(c_24832,plain,
sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_4137]) ).
tcf(c_24833,plain,
sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_7544,c_4137]) ).
tcf(c_24834,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_4137]) ).
tcf(c_24835,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_4137]) ).
tcf(c_24836,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_4137]) ).
tcf(c_24837,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_4137]) ).
tcf(c_24838,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_4137]) ).
tcf(c_24839,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_4137]) ).
tcf(c_24840,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_4137]) ).
tcf(c_24841,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_4137]) ).
tcf(c_24842,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_4137]) ).
tcf(c_24843,plain,
sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_8073,c_4137]) ).
tcf(c_24844,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_4137]) ).
tcf(c_24845,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_4137]) ).
tcf(c_24846,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_4137]) ).
tcf(c_24847,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_4137]) ).
tcf(c_24848,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_4137]) ).
tcf(c_24849,plain,
sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_4137]) ).
tcf(c_24915,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4138]) ).
tcf(c_24916,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4138]) ).
tcf(c_24917,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_4138]) ).
tcf(c_24923,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_5163,c_4138]) ).
tcf(c_24927,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_4138]) ).
tcf(c_24928,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_4138]) ).
tcf(c_24929,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_4138]) ).
tcf(c_24930,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_4138]) ).
tcf(c_24931,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_4138]) ).
tcf(c_24933,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_6040,c_4138]) ).
tcf(c_24934,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4519,c_4138]) ).
tcf(c_24935,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_4138]) ).
tcf(c_24936,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_6231,c_4138]) ).
tcf(c_24937,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_6510,c_4138]) ).
tcf(c_24938,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_4138]) ).
tcf(c_24939,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_7544,c_4138]) ).
tcf(c_24940,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_4138]) ).
tcf(c_24941,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_4138]) ).
tcf(c_24942,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_4138]) ).
tcf(c_24943,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_4138]) ).
tcf(c_24944,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_4138]) ).
tcf(c_24945,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_4138]) ).
tcf(c_24946,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_4138]) ).
tcf(c_24947,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_4138]) ).
tcf(c_24948,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_4138]) ).
tcf(c_24949,plain,
sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_8073,c_4138]) ).
tcf(c_24950,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_4138]) ).
tcf(c_24951,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_4138]) ).
tcf(c_24952,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_4138]) ).
tcf(c_24953,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_4138]) ).
tcf(c_24954,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_4138]) ).
tcf(c_24955,plain,
sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_4138]) ).
tcf(c_25076,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4546]) ).
tcf(c_25077,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4546]) ).
tcf(c_25078,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_4546]) ).
tcf(c_25084,plain,
sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_5163,c_4546]) ).
tcf(c_25088,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_4546]) ).
tcf(c_25089,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_4546]) ).
tcf(c_25090,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_4546]) ).
tcf(c_25091,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_4546]) ).
tcf(c_25092,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_4546]) ).
tcf(c_25094,plain,
sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_6040,c_4546]) ).
tcf(c_25096,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_4546]) ).
tcf(c_25097,plain,
sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_6231,c_4546]) ).
tcf(c_25098,plain,
sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_6510,c_4546]) ).
tcf(c_25099,plain,
sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_7084,c_4546]) ).
tcf(c_25100,plain,
sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_4546]) ).
tcf(c_25101,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_4546]) ).
tcf(c_25102,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_4546]) ).
tcf(c_25103,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_4546]) ).
tcf(c_25104,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_4546]) ).
tcf(c_25105,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_4546]) ).
tcf(c_25106,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_4546]) ).
tcf(c_25107,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_4546]) ).
tcf(c_25108,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_4546]) ).
tcf(c_25109,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_4546]) ).
tcf(c_25110,plain,
sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_8073,c_4546]) ).
tcf(c_25111,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_4546]) ).
tcf(c_25112,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_4546]) ).
tcf(c_25113,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_4546]) ).
tcf(c_25114,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_4546]) ).
tcf(c_25115,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_4546]) ).
tcf(c_25116,plain,
sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_4546]) ).
tcf(c_25271,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4547]) ).
tcf(c_25272,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4547]) ).
tcf(c_25273,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_4547]) ).
tcf(c_25279,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_5163,c_4547]) ).
tcf(c_25283,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_4547]) ).
tcf(c_25284,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_4547]) ).
tcf(c_25285,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_4547]) ).
tcf(c_25286,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_4547]) ).
tcf(c_25287,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_4547]) ).
tcf(c_25289,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_6040,c_4547]) ).
tcf(c_25291,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_4547]) ).
tcf(c_25292,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_6231,c_4547]) ).
tcf(c_25293,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_6510,c_4547]) ).
tcf(c_25294,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_7084,c_4547]) ).
tcf(c_25295,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_4547]) ).
tcf(c_25296,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_4547]) ).
tcf(c_25297,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_4547]) ).
tcf(c_25298,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_4547]) ).
tcf(c_25299,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_4547]) ).
tcf(c_25300,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_4547]) ).
tcf(c_25301,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_4547]) ).
tcf(c_25302,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_4547]) ).
tcf(c_25303,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_4547]) ).
tcf(c_25304,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_4547]) ).
tcf(c_25305,plain,
sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_8073,c_4547]) ).
tcf(c_25306,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_4547]) ).
tcf(c_25307,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_4547]) ).
tcf(c_25308,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_4547]) ).
tcf(c_25309,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_4547]) ).
tcf(c_25310,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_4547]) ).
tcf(c_25311,plain,
sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_4547]) ).
tcf(c_25385,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12284,c_69]) ).
tcf(c_25400,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xl)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12285,c_69]) ).
tcf(c_25427,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12286,c_69]) ).
tcf(c_25434,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xm)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12287,c_69]) ).
tcf(c_25441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19176,c_68]) ).
tcf(c_25449,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19177,c_68]) ).
tcf(c_25458,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19183,c_69]) ).
tcf(c_25466,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19184,c_69]) ).
tcf(c_25530,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19775,c_68]) ).
tcf(c_25538,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19776,c_68]) ).
tcf(c_25547,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19782,c_69]) ).
tcf(c_25555,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19783,c_69]) ).
tcf(c_25557,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_5195]) ).
tcf(c_25558,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_5195]) ).
tcf(c_25559,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_5195]) ).
tcf(c_25569,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_5195]) ).
tcf(c_25570,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_5195]) ).
tcf(c_25571,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_5195]) ).
tcf(c_25572,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_5195]) ).
tcf(c_25573,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_5195]) ).
tcf(c_25575,plain,
sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_6040,c_5195]) ).
tcf(c_25577,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_5195]) ).
tcf(c_25578,plain,
sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_6231,c_5195]) ).
tcf(c_25579,plain,
sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_6510,c_5195]) ).
tcf(c_25580,plain,
sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_7084,c_5195]) ).
tcf(c_25581,plain,
sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_7544,c_5195]) ).
tcf(c_25582,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_5195]) ).
tcf(c_25583,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_5195]) ).
tcf(c_25584,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_5195]) ).
tcf(c_25585,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_5195]) ).
tcf(c_25586,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_5195]) ).
tcf(c_25587,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_5195]) ).
tcf(c_25588,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_5195]) ).
tcf(c_25589,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_5195]) ).
tcf(c_25590,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_5195]) ).
tcf(c_25591,plain,
sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_5195]) ).
tcf(c_25592,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_5195]) ).
tcf(c_25593,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_5195]) ).
tcf(c_25594,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_5195]) ).
tcf(c_25595,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_5195]) ).
tcf(c_25596,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_5195]) ).
tcf(c_25597,plain,
sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_5195]) ).
tcf(c_25657,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_5196]) ).
tcf(c_25658,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_5196]) ).
tcf(c_25659,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_5196]) ).
tcf(c_25669,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_5196]) ).
tcf(c_25670,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_5196]) ).
tcf(c_25671,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_5196]) ).
tcf(c_25672,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_5196]) ).
tcf(c_25673,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_5196]) ).
tcf(c_25675,plain,
sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_6040,c_5196]) ).
tcf(c_25677,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_5196]) ).
tcf(c_25678,plain,
sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_6231,c_5196]) ).
tcf(c_25679,plain,
sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_6510,c_5196]) ).
tcf(c_25680,plain,
sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_7084,c_5196]) ).
tcf(c_25681,plain,
sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_7544,c_5196]) ).
tcf(c_25682,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_5196]) ).
tcf(c_25683,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_5196]) ).
tcf(c_25684,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_5196]) ).
tcf(c_25685,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_5196]) ).
tcf(c_25686,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_5196]) ).
tcf(c_25687,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_5196]) ).
tcf(c_25688,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_5196]) ).
tcf(c_25689,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_5196]) ).
tcf(c_25690,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_5196]) ).
tcf(c_25691,plain,
sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_5196]) ).
tcf(c_25692,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_5196]) ).
tcf(c_25693,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_5196]) ).
tcf(c_25694,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_5196]) ).
tcf(c_25695,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_5196]) ).
tcf(c_25696,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_5196]) ).
tcf(c_25697,plain,
sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_5196]) ).
tcf(c_25809,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_6083]) ).
tcf(c_25810,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_6083]) ).
tcf(c_25811,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_6083]) ).
tcf(c_25821,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_6083]) ).
tcf(c_25822,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_6083]) ).
tcf(c_25823,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_6083]) ).
tcf(c_25824,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_6083]) ).
tcf(c_25825,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_6083]) ).
tcf(c_25829,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_6083]) ).
tcf(c_25830,plain,
sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6231,c_6083]) ).
tcf(c_25831,plain,
sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6510,c_6083]) ).
tcf(c_25832,plain,
sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_7084,c_6083]) ).
tcf(c_25833,plain,
sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_7544,c_6083]) ).
tcf(c_25834,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_6083]) ).
tcf(c_25835,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_6083]) ).
tcf(c_25836,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_6083]) ).
tcf(c_25837,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_6083]) ).
tcf(c_25838,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_6083]) ).
tcf(c_25839,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_6083]) ).
tcf(c_25840,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_6083]) ).
tcf(c_25841,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_6083]) ).
tcf(c_25842,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_6083]) ).
tcf(c_25843,plain,
sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_8073,c_6083]) ).
tcf(c_25844,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_6083]) ).
tcf(c_25845,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_6083]) ).
tcf(c_25846,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_6083]) ).
tcf(c_25847,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_6083]) ).
tcf(c_25848,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_6083]) ).
tcf(c_25849,plain,
sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_6083]) ).
tcf(c_25907,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_6084]) ).
tcf(c_25908,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_6084]) ).
tcf(c_25909,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_6084]) ).
tcf(c_25919,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_6084]) ).
tcf(c_25920,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_6084]) ).
tcf(c_25921,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_6084]) ).
tcf(c_25922,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_6084]) ).
tcf(c_25923,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_6084]) ).
tcf(c_25927,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_6084]) ).
tcf(c_25928,plain,
sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6231,c_6084]) ).
tcf(c_25929,plain,
sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6510,c_6084]) ).
tcf(c_25930,plain,
sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_7084,c_6084]) ).
tcf(c_25931,plain,
sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_7544,c_6084]) ).
tcf(c_25932,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_6084]) ).
tcf(c_25933,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_6084]) ).
tcf(c_25934,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_6084]) ).
tcf(c_25935,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_6084]) ).
tcf(c_25936,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_6084]) ).
tcf(c_25937,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_6084]) ).
tcf(c_25938,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_6084]) ).
tcf(c_25939,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_6084]) ).
tcf(c_25940,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_6084]) ).
tcf(c_25941,plain,
sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_8073,c_6084]) ).
tcf(c_25942,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_6084]) ).
tcf(c_25943,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_6084]) ).
tcf(c_25944,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_6084]) ).
tcf(c_25945,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_6084]) ).
tcf(c_25946,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_6084]) ).
tcf(c_25947,plain,
sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_6084]) ).
tcf(c_26112,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xn)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12288,c_69]) ).
tcf(c_26118,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12289,c_69]) ).
tcf(c_26124,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xn)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12290,c_69]) ).
tcf(c_26130,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,xn)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12291,c_69]) ).
tcf(c_26137,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19788,c_68]) ).
tcf(c_26145,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19789,c_68]) ).
tcf(c_26191,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19795,c_69]) ).
tcf(c_26199,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19796,c_69]) ).
tcf(c_26206,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20214,c_68]) ).
tcf(c_26214,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20215,c_68]) ).
tcf(c_26223,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20221,c_69]) ).
tcf(c_26231,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20222,c_69]) ).
tcf(c_26233,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_6274]) ).
tcf(c_26234,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_6274]) ).
tcf(c_26235,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_6274]) ).
tcf(c_26245,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_6274]) ).
tcf(c_26246,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_6274]) ).
tcf(c_26247,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_6274]) ).
tcf(c_26248,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_6274]) ).
tcf(c_26249,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_6274]) ).
tcf(c_26253,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_6274]) ).
tcf(c_26255,plain,
sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6510,c_6274]) ).
tcf(c_26256,plain,
sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_7084,c_6274]) ).
tcf(c_26257,plain,
sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_7544,c_6274]) ).
tcf(c_26258,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_6274]) ).
tcf(c_26259,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_6274]) ).
tcf(c_26260,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_6274]) ).
tcf(c_26261,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_6274]) ).
tcf(c_26262,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_6274]) ).
tcf(c_26263,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_6274]) ).
tcf(c_26264,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_6274]) ).
tcf(c_26265,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_6274]) ).
tcf(c_26266,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_6274]) ).
tcf(c_26267,plain,
sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_8073,c_6274]) ).
tcf(c_26268,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_6274]) ).
tcf(c_26269,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_6274]) ).
tcf(c_26270,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_6274]) ).
tcf(c_26271,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_6274]) ).
tcf(c_26272,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_6274]) ).
tcf(c_26273,plain,
sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_6274]) ).
tcf(c_26332,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_6275]) ).
tcf(c_26333,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_6275]) ).
tcf(c_26334,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_6275]) ).
tcf(c_26344,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_6275]) ).
tcf(c_26345,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_6275]) ).
tcf(c_26346,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_6275]) ).
tcf(c_26347,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_6275]) ).
tcf(c_26348,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_6275]) ).
tcf(c_26352,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_6275]) ).
tcf(c_26354,plain,
sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6510,c_6275]) ).
tcf(c_26355,plain,
sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_7084,c_6275]) ).
tcf(c_26356,plain,
sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_7544,c_6275]) ).
tcf(c_26357,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_6275]) ).
tcf(c_26358,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_6275]) ).
tcf(c_26359,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_6275]) ).
tcf(c_26360,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_6275]) ).
tcf(c_26361,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_6275]) ).
tcf(c_26362,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_6275]) ).
tcf(c_26363,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_6275]) ).
tcf(c_26364,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_6275]) ).
tcf(c_26365,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_6275]) ).
tcf(c_26366,plain,
sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_8073,c_6275]) ).
tcf(c_26367,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_6275]) ).
tcf(c_26368,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_6275]) ).
tcf(c_26369,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_6275]) ).
tcf(c_26370,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_6275]) ).
tcf(c_26371,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_6275]) ).
tcf(c_26372,plain,
sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_6275]) ).
tcf(c_26442,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_6553]) ).
tcf(c_26443,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_6553]) ).
tcf(c_26444,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_6553]) ).
tcf(c_26454,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_6553]) ).
tcf(c_26455,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_6553]) ).
tcf(c_26456,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_6553]) ).
tcf(c_26457,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_6553]) ).
tcf(c_26458,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_6553]) ).
tcf(c_26462,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_6553]) ).
tcf(c_26465,plain,
sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_7084,c_6553]) ).
tcf(c_26466,plain,
sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_7544,c_6553]) ).
tcf(c_26467,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_6553]) ).
tcf(c_26468,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_6553]) ).
tcf(c_26469,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_6553]) ).
tcf(c_26470,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_6553]) ).
tcf(c_26471,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_6553]) ).
tcf(c_26472,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_6553]) ).
tcf(c_26473,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_6553]) ).
tcf(c_26474,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_6553]) ).
tcf(c_26475,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_6553]) ).
tcf(c_26476,plain,
sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_8073,c_6553]) ).
tcf(c_26477,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_6553]) ).
tcf(c_26478,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_6553]) ).
tcf(c_26479,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_6553]) ).
tcf(c_26480,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_6553]) ).
tcf(c_26481,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_6553]) ).
tcf(c_26482,plain,
sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_6553]) ).
tcf(c_26693,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_6554]) ).
tcf(c_26694,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_6554]) ).
tcf(c_26695,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_6554]) ).
tcf(c_26705,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_6554]) ).
tcf(c_26706,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_6554]) ).
tcf(c_26707,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_6554]) ).
tcf(c_26708,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_6554]) ).
tcf(c_26709,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_6554]) ).
tcf(c_26713,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_6554]) ).
tcf(c_26716,plain,
sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_7084,c_6554]) ).
tcf(c_26717,plain,
sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_7544,c_6554]) ).
tcf(c_26718,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_6554]) ).
tcf(c_26719,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_6554]) ).
tcf(c_26720,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_6554]) ).
tcf(c_26721,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_6554]) ).
tcf(c_26722,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_6554]) ).
tcf(c_26723,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_6554]) ).
tcf(c_26724,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_6554]) ).
tcf(c_26725,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_6554]) ).
tcf(c_26726,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_6554]) ).
tcf(c_26727,plain,
sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_8073,c_6554]) ).
tcf(c_26728,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_6554]) ).
tcf(c_26729,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_6554]) ).
tcf(c_26730,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_6554]) ).
tcf(c_26731,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_6554]) ).
tcf(c_26732,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_6554]) ).
tcf(c_26733,plain,
sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_6554]) ).
tcf(c_26771,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12388,c_69]) ).
tcf(c_26778,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xl)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12389,c_69]) ).
tcf(c_26785,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xm)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12390,c_69]) ).
tcf(c_26792,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xn)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12391,c_69]) ).
tcf(c_26799,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20227,c_68]) ).
tcf(c_26807,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20228,c_68]) ).
tcf(c_26816,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20234,c_69]) ).
tcf(c_26824,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20235,c_69]) ).
tcf(c_26830,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20487,c_68]) ).
tcf(c_26837,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20488,c_68]) ).
tcf(c_26887,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20494,c_69]) ).
tcf(c_26894,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20495,c_69]) ).
tcf(c_26896,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_7127]) ).
tcf(c_26897,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_7127]) ).
tcf(c_26898,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_7127]) ).
tcf(c_26908,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_7127]) ).
tcf(c_26909,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_7127]) ).
tcf(c_26910,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_7127]) ).
tcf(c_26911,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_7127]) ).
tcf(c_26912,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_7127]) ).
tcf(c_26916,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_7127]) ).
tcf(c_26920,plain,
sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7544,c_7127]) ).
tcf(c_26921,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_7127]) ).
tcf(c_26922,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_7127]) ).
tcf(c_26923,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_7127]) ).
tcf(c_26924,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_7127]) ).
tcf(c_26925,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_7127]) ).
tcf(c_26926,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_7127]) ).
tcf(c_26927,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_7127]) ).
tcf(c_26928,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_7127]) ).
tcf(c_26929,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_7127]) ).
tcf(c_26930,plain,
sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_8073,c_7127]) ).
tcf(c_26931,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_7127]) ).
tcf(c_26932,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_7127]) ).
tcf(c_26933,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_7127]) ).
tcf(c_26934,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_7127]) ).
tcf(c_26935,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_7127]) ).
tcf(c_26936,plain,
sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_7127]) ).
tcf(c_26976,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_7128]) ).
tcf(c_26977,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_7128]) ).
tcf(c_26978,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_7128]) ).
tcf(c_26988,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_7128]) ).
tcf(c_26989,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_7128]) ).
tcf(c_26990,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_7128]) ).
tcf(c_26991,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_7128]) ).
tcf(c_26992,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_7128]) ).
tcf(c_26996,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_7128]) ).
tcf(c_27000,plain,
sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7544,c_7128]) ).
tcf(c_27001,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_7128]) ).
tcf(c_27002,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_7128]) ).
tcf(c_27003,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_7128]) ).
tcf(c_27004,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_7128]) ).
tcf(c_27005,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_7128]) ).
tcf(c_27006,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_7128]) ).
tcf(c_27007,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_7128]) ).
tcf(c_27008,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_7128]) ).
tcf(c_27009,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_7128]) ).
tcf(c_27010,plain,
sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_8073,c_7128]) ).
tcf(c_27011,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_7128]) ).
tcf(c_27012,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_7128]) ).
tcf(c_27013,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_7128]) ).
tcf(c_27014,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_7128]) ).
tcf(c_27015,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_7128]) ).
tcf(c_27016,plain,
sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_7128]) ).
tcf(c_27036,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_7587]) ).
tcf(c_27037,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_7587]) ).
tcf(c_27038,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_7587]) ).
tcf(c_27048,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_7587]) ).
tcf(c_27049,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_7587]) ).
tcf(c_27050,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_7587]) ).
tcf(c_27051,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_7587]) ).
tcf(c_27052,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_7587]) ).
tcf(c_27056,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_7587]) ).
tcf(c_27061,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_7587]) ).
tcf(c_27062,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_7587]) ).
tcf(c_27063,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_7587]) ).
tcf(c_27064,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_7587]) ).
tcf(c_27065,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_7587]) ).
tcf(c_27066,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_7587]) ).
tcf(c_27067,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_7587]) ).
tcf(c_27068,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_7587]) ).
tcf(c_27069,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_7587]) ).
tcf(c_27070,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_8073,c_7587]) ).
tcf(c_27071,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_7587]) ).
tcf(c_27072,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_7587]) ).
tcf(c_27073,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_7587]) ).
tcf(c_27074,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_7587]) ).
tcf(c_27075,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_7587]) ).
tcf(c_27076,plain,
sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_7587]) ).
tcf(c_27111,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_7588]) ).
tcf(c_27112,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_7588]) ).
tcf(c_27113,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_7588]) ).
tcf(c_27123,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_7588]) ).
tcf(c_27124,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_7588]) ).
tcf(c_27125,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_7588]) ).
tcf(c_27126,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_7588]) ).
tcf(c_27127,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_7588]) ).
tcf(c_27131,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_7588]) ).
tcf(c_27136,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_7588]) ).
tcf(c_27137,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_7588]) ).
tcf(c_27138,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_7588]) ).
tcf(c_27139,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_7588]) ).
tcf(c_27140,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_7588]) ).
tcf(c_27141,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_7588]) ).
tcf(c_27142,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_7588]) ).
tcf(c_27143,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_7588]) ).
tcf(c_27144,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_7588]) ).
tcf(c_27145,plain,
sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_8073,c_7588]) ).
tcf(c_27146,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_7588]) ).
tcf(c_27147,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_7588]) ).
tcf(c_27148,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_7588]) ).
tcf(c_27149,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_7588]) ).
tcf(c_27150,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_7588]) ).
tcf(c_27151,plain,
sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_7588]) ).
tcf(c_27264,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12394,c_69]) ).
tcf(c_27271,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xl)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12395,c_69]) ).
tcf(c_27277,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12396,c_69]) ).
tcf(c_27284,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xm)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12397,c_69]) ).
tcf(c_27290,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20500,c_68]) ).
tcf(c_27297,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20501,c_68]) ).
tcf(c_27305,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20507,c_69]) ).
tcf(c_27312,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20508,c_69]) ).
tcf(c_27316,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3117,c_72]) ).
tcf(c_27317,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3117,c_53]) ).
tcf(c_27318,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)) != sdtasdt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_3117,c_68]) ).
tcf(c_27319,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)) != sdtasdt0(X0,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_3117,c_69]) ).
tcf(c_27320,plain,
sdtasdt0(sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3117,c_13144]) ).
tcf(c_27321,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_3117,c_12039]) ).
tcf(c_27327,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3118,c_72]) ).
tcf(c_27328,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3118,c_53]) ).
tcf(c_27329,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_3118,c_68]) ).
tcf(c_27330,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)) != sdtasdt0(X0,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_3118,c_69]) ).
tcf(c_27331,plain,
sdtasdt0(sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3118,c_13032]) ).
tcf(c_27332,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_3118,c_11975]) ).
tcf(c_27338,plain,
( ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3119,c_71]) ).
tcf(c_27339,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3119,c_70]) ).
tcf(c_27340,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3119,c_52]) ).
tcf(c_27341,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)) != sdtpldt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_3119,c_66]) ).
tcf(c_27342,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_3119,c_67]) ).
tcf(c_27343,plain,
sdtasdt0(sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3119,c_11222]) ).
tcf(c_27344,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_3119,c_9919]) ).
tcf(c_27350,plain,
( ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3120,c_71]) ).
tcf(c_27351,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3120,c_70]) ).
tcf(c_27352,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3120,c_52]) ).
tcf(c_27353,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_3120,c_66]) ).
tcf(c_27354,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_3120,c_67]) ).
tcf(c_27355,plain,
sdtasdt0(sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3120,c_10985]) ).
tcf(c_27356,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_3120,c_9722]) ).
tcf(c_27390,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_8117]) ).
tcf(c_27391,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_8117]) ).
tcf(c_27392,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_8117]) ).
tcf(c_27402,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_8117]) ).
tcf(c_27403,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_8117]) ).
tcf(c_27404,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_8117]) ).
tcf(c_27405,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_8117]) ).
tcf(c_27406,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_8117]) ).
tcf(c_27410,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_8117]) ).
tcf(c_27415,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_8117]) ).
tcf(c_27416,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_8117]) ).
tcf(c_27417,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_8117]) ).
tcf(c_27418,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_8117]) ).
tcf(c_27419,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_8117]) ).
tcf(c_27420,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_8117]) ).
tcf(c_27421,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_8117]) ).
tcf(c_27422,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_8117]) ).
tcf(c_27423,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_8117]) ).
tcf(c_27425,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_8117]) ).
tcf(c_27426,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_8117]) ).
tcf(c_27427,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_8117]) ).
tcf(c_27428,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_8117]) ).
tcf(c_27429,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_8117]) ).
tcf(c_27430,plain,
sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_8117]) ).
tcf(c_27470,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_8118]) ).
tcf(c_27471,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_8118]) ).
tcf(c_27472,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_8118]) ).
tcf(c_27482,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_8118]) ).
tcf(c_27483,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_8118]) ).
tcf(c_27484,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_8118]) ).
tcf(c_27485,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_8118]) ).
tcf(c_27486,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_8118]) ).
tcf(c_27490,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_8118]) ).
tcf(c_27495,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_8118]) ).
tcf(c_27496,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_8118]) ).
tcf(c_27497,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_8118]) ).
tcf(c_27498,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_8118]) ).
tcf(c_27499,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_8118]) ).
tcf(c_27500,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_8118]) ).
tcf(c_27501,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_8118]) ).
tcf(c_27502,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_8118]) ).
tcf(c_27503,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_8118]) ).
tcf(c_27505,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_8118]) ).
tcf(c_27506,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_8118]) ).
tcf(c_27507,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_8118]) ).
tcf(c_27508,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_8118]) ).
tcf(c_27509,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_8118]) ).
tcf(c_27510,plain,
sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_8118]) ).
tcf(c_27538,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_20822]) ).
tcf(c_27539,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_20822]) ).
tcf(c_27540,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(X1,X0),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_20822]) ).
tcf(c_27550,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_20822]) ).
tcf(c_27551,plain,
sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_20822]) ).
tcf(c_27552,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_20822]) ).
tcf(c_27553,plain,
sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_20822]) ).
tcf(c_27554,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_20822]) ).
tcf(c_27558,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_20822]) ).
tcf(c_27563,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_20822]) ).
tcf(c_27564,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_20822]) ).
tcf(c_27565,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_20822]) ).
tcf(c_27566,plain,
sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_20822]) ).
tcf(c_27567,plain,
sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_20822]) ).
tcf(c_27568,plain,
sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_20822]) ).
tcf(c_27569,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_20822]) ).
tcf(c_27570,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_20822]) ).
tcf(c_27571,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_20822]) ).
tcf(c_27573,plain,
sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_20822]) ).
tcf(c_27574,plain,
sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_20822]) ).
tcf(c_27575,plain,
sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_20822]) ).
tcf(c_27576,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_20822]) ).
tcf(c_27577,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_20822]) ).
tcf(c_27606,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_20823]) ).
tcf(c_27607,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_20823]) ).
tcf(c_27608,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(X1,X0),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_20823]) ).
tcf(c_27618,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_20823]) ).
tcf(c_27619,plain,
sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_20823]) ).
tcf(c_27620,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_20823]) ).
tcf(c_27621,plain,
sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_20823]) ).
tcf(c_27622,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_20823]) ).
tcf(c_27626,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_20823]) ).
tcf(c_27631,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_20823]) ).
tcf(c_27632,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_20823]) ).
tcf(c_27633,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_20823]) ).
tcf(c_27634,plain,
sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_20823]) ).
tcf(c_27635,plain,
sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_20823]) ).
tcf(c_27636,plain,
sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_20823]) ).
tcf(c_27637,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_20823]) ).
tcf(c_27638,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_20823]) ).
tcf(c_27639,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_20823]) ).
tcf(c_27641,plain,
sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_20823]) ).
tcf(c_27642,plain,
sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_20823]) ).
tcf(c_27643,plain,
sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_20823]) ).
tcf(c_27644,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_20823]) ).
tcf(c_27645,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_20823]) ).
tcf(c_27712,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xn)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12398,c_69]) ).
tcf(c_27718,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12399,c_69]) ).
tcf(c_27724,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xn)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12400,c_69]) ).
tcf(c_27730,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,xn)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12401,c_69]) ).
tcf(c_27733,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4132,c_72]) ).
tcf(c_27734,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4132,c_53]) ).
tcf(c_27735,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)) != sdtasdt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_4132,c_68]) ).
tcf(c_27736,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)) != sdtasdt0(X0,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_4132,c_69]) ).
tcf(c_27737,plain,
sdtasdt0(sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4132,c_13147]) ).
tcf(c_27738,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_4132,c_12042]) ).
tcf(c_27762,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4133,c_72]) ).
tcf(c_27763,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4133,c_53]) ).
tcf(c_27764,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_4133,c_68]) ).
tcf(c_27765,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)) != sdtasdt0(X0,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_4133,c_69]) ).
tcf(c_27766,plain,
sdtasdt0(sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4133,c_13035]) ).
tcf(c_27767,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_4133,c_11978]) ).
tcf(c_27791,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4134,c_71]) ).
tcf(c_27792,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4134,c_70]) ).
tcf(c_27793,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4134,c_52]) ).
tcf(c_27794,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)) != sdtpldt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_4134,c_66]) ).
tcf(c_27795,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_4134,c_67]) ).
tcf(c_27796,plain,
sdtasdt0(sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4134,c_11225]) ).
tcf(c_27797,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_4134,c_9922]) ).
tcf(c_27802,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4135,c_71]) ).
tcf(c_27803,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4135,c_70]) ).
tcf(c_27804,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4135,c_52]) ).
tcf(c_27805,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_4135,c_66]) ).
tcf(c_27806,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_4135,c_67]) ).
tcf(c_27807,plain,
sdtasdt0(sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4135,c_10988]) ).
tcf(c_27808,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_4135,c_9725]) ).
tcf(c_27832,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4541,c_72]) ).
tcf(c_27833,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4541,c_53]) ).
tcf(c_27834,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_4541,c_68]) ).
tcf(c_27835,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(X0,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_4541,c_69]) ).
tcf(c_27836,plain,
sdtasdt0(sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4541,c_13149]) ).
tcf(c_27837,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_4541,c_12044]) ).
tcf(c_27884,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4542,c_72]) ).
tcf(c_27885,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4542,c_53]) ).
tcf(c_27886,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_4542,c_68]) ).
tcf(c_27887,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)) != sdtasdt0(X0,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_4542,c_69]) ).
tcf(c_27888,plain,
sdtasdt0(sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4542,c_13037]) ).
tcf(c_27889,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_4542,c_11980]) ).
tcf(c_27894,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4543,c_71]) ).
tcf(c_27895,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4543,c_70]) ).
tcf(c_27896,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4543,c_52]) ).
tcf(c_27897,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)) != sdtpldt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_4543,c_66]) ).
tcf(c_27898,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_4543,c_67]) ).
tcf(c_27899,plain,
sdtasdt0(sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4543,c_11227]) ).
tcf(c_27900,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_4543,c_9924]) ).
tcf(c_27905,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4544,c_71]) ).
tcf(c_27906,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4544,c_70]) ).
tcf(c_27907,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4544,c_52]) ).
tcf(c_27908,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_4544,c_66]) ).
tcf(c_27909,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_4544,c_67]) ).
tcf(c_27910,plain,
sdtasdt0(sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4544,c_10990]) ).
tcf(c_27911,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_4544,c_9727]) ).
tcf(c_27942,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sz00,X0)) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_1927]) ).
tcf(c_27943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1927]) ).
tcf(c_27944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(X0,X1),X2)) = sdtpldt0(sdtasdt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1927]) ).
tcf(c_27945,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(X1,X0),X2)) = sdtpldt0(sdtsldt0(X1,X0),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_1927]) ).
tcf(c_27946,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xl,X0)) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_1927]) ).
tcf(c_27947,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xm,X0)) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_1927]) ).
tcf(c_27948,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xn,X0)) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_1927]) ).
tcf(c_27949,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),X0)) = sdtpldt0(sdtsldt0(xn,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_1927]) ).
tcf(c_27950,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),X0)) = sdtpldt0(sdtsldt0(xm,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_1927]) ).
tcf(c_27951,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xm,xn),X0)) = sdtpldt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_1927]) ).
tcf(c_27952,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,xl),X0)) = sdtpldt0(sdtpldt0(sz00,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_1927]) ).
tcf(c_27953,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,xm),X0)) = sdtpldt0(sdtpldt0(sz00,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_1927]) ).
tcf(c_27954,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,xn),X0)) = sdtpldt0(sdtpldt0(sz00,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_1927]) ).
tcf(c_27955,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0)) = sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_1927]) ).
tcf(c_27956,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0)) = sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_1927]) ).
tcf(c_27957,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0)) = sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_1927]) ).
tcf(c_27958,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)) = sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_1927]) ).
tcf(c_27959,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0)) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_1927]) ).
tcf(c_27960,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xm),X0)) = sdtpldt0(sdtpldt0(xl,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_1927]) ).
tcf(c_27961,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,xl),X0)) = sdtpldt0(sdtasdt0(sz00,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_1927]) ).
tcf(c_27962,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xn),X0)) = sdtpldt0(sdtpldt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_1927]) ).
tcf(c_27963,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0)) = sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_1927]) ).
tcf(c_27964,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,xm),X0)) = sdtpldt0(sdtasdt0(sz00,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_1927]) ).
tcf(c_27965,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,xn),X0)) = sdtpldt0(sdtasdt0(sz00,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_1927]) ).
tcf(c_27966,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,xm),X0)) = sdtpldt0(sdtasdt0(xl,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_1927]) ).
tcf(c_27967,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,xn),X0)) = sdtpldt0(sdtasdt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_1927]) ).
tcf(c_27968,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0)) = sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_1927]) ).
tcf(c_27969,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0)) = sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_1927]) ).
tcf(c_27970,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0)) = sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_1927]) ).
tcf(c_27971,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0)) = sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_1927]) ).
tcf(c_27972,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0)) = sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_1927]) ).
tcf(c_27973,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0)) = sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_1927]) ).
tcf(c_27974,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0)) = sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_1927]) ).
tcf(c_27975,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0)) = sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_1927]) ).
tcf(c_27976,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0)) = sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_1927]) ).
tcf(c_27977,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,xn),X0)) = sdtpldt0(sdtasdt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_1927]) ).
tcf(c_27978,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0)) = sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_1927]) ).
tcf(c_27979,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0)) = sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_1927]) ).
tcf(c_27980,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0)) = sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_1927]) ).
tcf(c_27981,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0)) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_1927]) ).
tcf(c_27982,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0)) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_1927]) ).
tcf(c_27983,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xl),X0)) = sdtpldt0(sdtpldt0(xl,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_1927]) ).
tcf(c_28171,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sz00)) = sdtpldt0(sz00,sz00),
inference(superposition,[status(thm)],[c_49,c_27942]) ).
tcf(c_28172,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,X1))) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_27942]) ).
tcf(c_28173,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(X0,X1))) = sdtpldt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_27942]) ).
tcf(c_28174,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(X1,X0))) = sdtpldt0(sz00,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_27942]) ).
tcf(c_28180,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sdtpldt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_27942]) ).
tcf(c_28184,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_27942]) ).
tcf(c_28185,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_27942]) ).
tcf(c_28186,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_27942]) ).
tcf(c_28187,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_27942]) ).
tcf(c_28188,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_27942]) ).
tcf(c_28189,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sdtpldt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_27942]) ).
tcf(c_28190,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xl))) = sdtpldt0(sz00,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_27942]) ).
tcf(c_28191,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sdtpldt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_27942]) ).
tcf(c_28192,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_27942]) ).
tcf(c_28193,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xm))) = sdtpldt0(sz00,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_27942]) ).
tcf(c_28194,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xn))) = sdtpldt0(sz00,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_27942]) ).
tcf(c_28195,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xm))) = sdtpldt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_27942]) ).
tcf(c_28196,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xn))) = sdtpldt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_27942]) ).
tcf(c_28197,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_27942]) ).
tcf(c_28198,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_27942]) ).
tcf(c_28199,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_27942]) ).
tcf(c_28200,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_27942]) ).
tcf(c_28201,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_27942]) ).
tcf(c_28202,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_27942]) ).
tcf(c_28203,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_27942]) ).
tcf(c_28204,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_27942]) ).
tcf(c_28205,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_27942]) ).
tcf(c_28206,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xn))) = sdtpldt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_27942]) ).
tcf(c_28207,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_27942]) ).
tcf(c_28208,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_27942]) ).
tcf(c_28209,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_27942]) ).
tcf(c_28210,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_27942]) ).
tcf(c_28211,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_27942]) ).
tcf(c_28212,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xl))) = sdtpldt0(sz00,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_27942]) ).
tcf(c_28264,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sdtpldt0(sz00,sz00) ) ),
inference(superposition,[status(thm)],[c_28171,c_66]) ).
tcf(c_28265,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sz00))
| ( sdtpldt0(X0,sdtpldt0(sz00,sz00)) != sdtpldt0(sz00,sz00) ) ),
inference(superposition,[status(thm)],[c_28171,c_67]) ).
tcf(c_28290,plain,
sdtpldt0(sz00,sdtpldt0(xl,sz00)) = sdtpldt0(xl,sz00),
inference(superposition,[status(thm)],[c_49,c_27946]) ).
tcf(c_28291,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(X0,X1))) = sdtpldt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_27946]) ).
tcf(c_28292,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(X0,X1))) = sdtpldt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_27946]) ).
tcf(c_28293,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(X1,X0))) = sdtpldt0(xl,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_27946]) ).
tcf(c_28299,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_27946]) ).
tcf(c_28301,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sdtpldt0(xl,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_27946]) ).
tcf(c_28302,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sdtpldt0(xl,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_27946]) ).
tcf(c_28303,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_27946]) ).
tcf(c_28304,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_27946]) ).
tcf(c_28305,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_27946]) ).
tcf(c_28306,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_27946]) ).
tcf(c_28307,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_27946]) ).
tcf(c_28308,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_27946]) ).
tcf(c_28309,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xl))) = sdtpldt0(xl,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_27946]) ).
tcf(c_28310,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_27946]) ).
tcf(c_28311,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_27946]) ).
tcf(c_28312,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xm))) = sdtpldt0(xl,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_27946]) ).
tcf(c_28313,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xn))) = sdtpldt0(xl,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_27946]) ).
tcf(c_28314,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm))) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_27946]) ).
tcf(c_28315,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xn))) = sdtpldt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_27946]) ).
tcf(c_28316,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_27946]) ).
tcf(c_28317,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_27946]) ).
tcf(c_28318,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_27946]) ).
tcf(c_28319,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_27946]) ).
tcf(c_28320,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_27946]) ).
tcf(c_28321,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_27946]) ).
tcf(c_28322,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_27946]) ).
tcf(c_28323,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_27946]) ).
tcf(c_28324,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_27946]) ).
tcf(c_28325,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xm,xn))) = sdtpldt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_27946]) ).
tcf(c_28326,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_27946]) ).
tcf(c_28327,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_27946]) ).
tcf(c_28328,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_27946]) ).
tcf(c_28329,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_27946]) ).
tcf(c_28330,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_27946]) ).
tcf(c_28331,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xl))) = sdtpldt0(xl,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_27946]) ).
tcf(c_28513,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xn)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12586,c_69]) ).
tcf(c_28520,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xl)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12587,c_69]) ).
tcf(c_28527,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xm)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12588,c_69]) ).
tcf(c_28534,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xn)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12589,c_69]) ).
tcf(c_28535,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sz00)) = sdtpldt0(sdtsldt0(xn,xl),sz00),
inference(superposition,[status(thm)],[c_49,c_27949]) ).
tcf(c_28536,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_27949]) ).
tcf(c_28537,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_27949]) ).
tcf(c_28538,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0))) = sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_27949]) ).
tcf(c_28539,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xl)) = sdtpldt0(sdtsldt0(xn,xl),xl),
inference(superposition,[status(thm)],[c_101,c_27949]) ).
tcf(c_28540,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xm)) = sdtpldt0(sdtsldt0(xn,xl),xm),
inference(superposition,[status(thm)],[c_102,c_27949]) ).
tcf(c_28541,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xn)) = sdtpldt0(sdtsldt0(xn,xl),xn),
inference(superposition,[status(thm)],[c_103,c_27949]) ).
tcf(c_28542,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_111,c_27949]) ).
tcf(c_28543,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_113,c_27949]) ).
tcf(c_28544,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_27949]) ).
tcf(c_28545,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_27949]) ).
tcf(c_28546,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_27949]) ).
tcf(c_28547,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_27949]) ).
tcf(c_28548,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_27949]) ).
tcf(c_28549,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_27949]) ).
tcf(c_28550,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_27949]) ).
tcf(c_28551,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_27949]) ).
tcf(c_28552,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_27949]) ).
tcf(c_28553,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_27949]) ).
tcf(c_28554,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_27949]) ).
tcf(c_28555,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_27949]) ).
tcf(c_28556,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_27949]) ).
tcf(c_28557,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_27949]) ).
tcf(c_28558,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_27949]) ).
tcf(c_28559,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_27949]) ).
tcf(c_28560,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_27949]) ).
tcf(c_28561,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_27949]) ).
tcf(c_28562,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_27949]) ).
tcf(c_28563,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_27949]) ).
tcf(c_28564,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_27949]) ).
tcf(c_28565,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_27949]) ).
tcf(c_28566,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_27949]) ).
tcf(c_28567,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_27949]) ).
tcf(c_28568,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_27949]) ).
tcf(c_28569,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_27949]) ).
tcf(c_28570,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_27949]) ).
tcf(c_28571,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_27949]) ).
tcf(c_28572,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_27949]) ).
tcf(c_28573,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_27949]) ).
tcf(c_28574,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_27949]) ).
tcf(c_28575,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_27949]) ).
tcf(c_28576,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_27949]) ).
tcf(c_28634,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sz00)) = sdtpldt0(sdtsldt0(xm,xl),sz00),
inference(superposition,[status(thm)],[c_49,c_27950]) ).
tcf(c_28635,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_27950]) ).
tcf(c_28636,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_27950]) ).
tcf(c_28637,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0))) = sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_27950]) ).
tcf(c_28638,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xl)) = sdtpldt0(sdtsldt0(xm,xl),xl),
inference(superposition,[status(thm)],[c_101,c_27950]) ).
tcf(c_28639,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xm)) = sdtpldt0(sdtsldt0(xm,xl),xm),
inference(superposition,[status(thm)],[c_102,c_27950]) ).
tcf(c_28640,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xn)) = sdtpldt0(sdtsldt0(xm,xl),xn),
inference(superposition,[status(thm)],[c_103,c_27950]) ).
tcf(c_28641,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_111,c_27950]) ).
tcf(c_28642,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_113,c_27950]) ).
tcf(c_28643,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_27950]) ).
tcf(c_28644,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_27950]) ).
tcf(c_28645,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_27950]) ).
tcf(c_28646,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_27950]) ).
tcf(c_28647,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_27950]) ).
tcf(c_28648,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_27950]) ).
tcf(c_28649,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_27950]) ).
tcf(c_28650,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_27950]) ).
tcf(c_28651,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_27950]) ).
tcf(c_28652,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_27950]) ).
tcf(c_28653,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_27950]) ).
tcf(c_28654,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_27950]) ).
tcf(c_28655,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_27950]) ).
tcf(c_28656,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_27950]) ).
tcf(c_28657,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_27950]) ).
tcf(c_28658,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_27950]) ).
tcf(c_28659,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_27950]) ).
tcf(c_28660,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_27950]) ).
tcf(c_28661,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_27950]) ).
tcf(c_28662,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_27950]) ).
tcf(c_28663,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_27950]) ).
tcf(c_28664,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_27950]) ).
tcf(c_28665,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_27950]) ).
tcf(c_28666,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_27950]) ).
tcf(c_28667,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_27950]) ).
tcf(c_28668,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_27950]) ).
tcf(c_28669,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_27950]) ).
tcf(c_28670,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_27950]) ).
tcf(c_28671,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_27950]) ).
tcf(c_28672,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_27950]) ).
tcf(c_28673,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_27950]) ).
tcf(c_28674,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_27950]) ).
tcf(c_28675,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_27950]) ).
tcf(c_28808,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28542,c_66]) ).
tcf(c_28809,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_28542,c_67]) ).
tcf(c_28817,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28543,c_66]) ).
tcf(c_28818,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_28543,c_67]) ).
tcf(c_28825,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28641,c_66]) ).
tcf(c_28826,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_28641,c_67]) ).
tcf(c_28885,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28642,c_66]) ).
tcf(c_28886,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_28642,c_67]) ).
tcf(c_28895,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sz00))
| ( sdtpldt0(sdtsldt0(xn,xl),sz00) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28535,c_66]) ).
tcf(c_28896,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sz00))
| ( sdtpldt0(X0,sdtpldt0(sdtsldt0(xn,xl),sz00)) != sdtpldt0(sdtsldt0(xn,xl),sz00) ) ),
inference(superposition,[status(thm)],[c_28535,c_67]) ).
tcf(c_28904,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xl))
| ( sdtpldt0(sdtsldt0(xn,xl),xl) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28539,c_66]) ).
tcf(c_28905,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xl))
| ( sdtpldt0(X0,sdtpldt0(sdtsldt0(xn,xl),xl)) != sdtpldt0(sdtsldt0(xn,xl),xl) ) ),
inference(superposition,[status(thm)],[c_28539,c_67]) ).
tcf(c_28914,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sz00))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xl,sz00) ) ),
inference(superposition,[status(thm)],[c_28290,c_66]) ).
tcf(c_28915,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sz00))
| ( sdtpldt0(X0,sdtpldt0(xl,sz00)) != sdtpldt0(xl,sz00) ) ),
inference(superposition,[status(thm)],[c_28290,c_67]) ).
tcf(c_28917,plain,
sdtpldt0(sz00,sdtpldt0(xm,sz00)) = sdtpldt0(xm,sz00),
inference(superposition,[status(thm)],[c_49,c_27947]) ).
tcf(c_28918,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(X0,X1))) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_27947]) ).
tcf(c_28919,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(X0,X1))) = sdtpldt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_27947]) ).
tcf(c_28920,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(X1,X0))) = sdtpldt0(xm,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_27947]) ).
tcf(c_28921,plain,
sdtpldt0(sz00,sdtpldt0(xm,xl)) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_101,c_27947]) ).
tcf(c_28922,plain,
sdtpldt0(sz00,sdtpldt0(xm,xm)) = sdtpldt0(xm,xm),
inference(superposition,[status(thm)],[c_102,c_27947]) ).
tcf(c_28926,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_27947]) ).
tcf(c_28927,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sdtpldt0(xm,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_27947]) ).
tcf(c_28928,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sdtpldt0(xm,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_27947]) ).
tcf(c_28929,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sdtpldt0(xm,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_27947]) ).
tcf(c_28930,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_27947]) ).
tcf(c_28931,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_27947]) ).
tcf(c_28932,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_27947]) ).
tcf(c_28933,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_27947]) ).
tcf(c_28934,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_27947]) ).
tcf(c_28935,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_27947]) ).
tcf(c_28936,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xl))) = sdtpldt0(xm,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_27947]) ).
tcf(c_28937,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_27947]) ).
tcf(c_28938,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_27947]) ).
tcf(c_28939,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xm))) = sdtpldt0(xm,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_27947]) ).
tcf(c_28940,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xn))) = sdtpldt0(xm,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_27947]) ).
tcf(c_28941,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm))) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_27947]) ).
tcf(c_28942,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xn))) = sdtpldt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_27947]) ).
tcf(c_28943,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_27947]) ).
tcf(c_28944,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_27947]) ).
tcf(c_28945,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_27947]) ).
tcf(c_28946,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_27947]) ).
tcf(c_28947,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_27947]) ).
tcf(c_28948,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_27947]) ).
tcf(c_28949,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_27947]) ).
tcf(c_28950,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_27947]) ).
tcf(c_28951,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_27947]) ).
tcf(c_28952,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xn))) = sdtpldt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_27947]) ).
tcf(c_28953,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_27947]) ).
tcf(c_28954,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_27947]) ).
tcf(c_28955,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_27947]) ).
tcf(c_28956,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_27947]) ).
tcf(c_28957,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_27947]) ).
tcf(c_28958,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xl))) = sdtpldt0(xm,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_27947]) ).
tcf(c_29047,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sz00))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,sz00) ) ),
inference(superposition,[status(thm)],[c_28917,c_66]) ).
tcf(c_29048,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sz00))
| ( sdtpldt0(X0,sdtpldt0(xm,sz00)) != sdtpldt0(xm,sz00) ) ),
inference(superposition,[status(thm)],[c_28917,c_67]) ).
tcf(c_29056,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_28921,c_66]) ).
tcf(c_29057,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(X0,sdtpldt0(xm,xl)) != sdtpldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_28921,c_67]) ).
tcf(c_29064,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xm)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12592,c_69]) ).
tcf(c_29071,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xl)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12593,c_69]) ).
tcf(c_29077,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xn)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12594,c_69]) ).
tcf(c_29084,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xm)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12595,c_69]) ).
tcf(c_29091,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xm))
| ( sdtpldt0(sdtsldt0(xn,xl),xm) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28540,c_66]) ).
tcf(c_29092,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xm))
| ( sdtpldt0(X0,sdtpldt0(sdtsldt0(xn,xl),xm)) != sdtpldt0(sdtsldt0(xn,xl),xm) ) ),
inference(superposition,[status(thm)],[c_28540,c_67]) ).
tcf(c_29100,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xn))
| ( sdtpldt0(sdtsldt0(xn,xl),xn) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28541,c_66]) ).
tcf(c_29101,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xn))
| ( sdtpldt0(X0,sdtpldt0(sdtsldt0(xn,xl),xn)) != sdtpldt0(sdtsldt0(xn,xl),xn) ) ),
inference(superposition,[status(thm)],[c_28541,c_67]) ).
tcf(c_29110,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sz00))
| ( sdtpldt0(sdtsldt0(xm,xl),sz00) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28634,c_66]) ).
tcf(c_29111,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sz00))
| ( sdtpldt0(X0,sdtpldt0(sdtsldt0(xm,xl),sz00)) != sdtpldt0(sdtsldt0(xm,xl),sz00) ) ),
inference(superposition,[status(thm)],[c_28634,c_67]) ).
tcf(c_29119,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xl))
| ( sdtpldt0(sdtsldt0(xm,xl),xl) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28638,c_66]) ).
tcf(c_29120,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xl))
| ( sdtpldt0(X0,sdtpldt0(sdtsldt0(xm,xl),xl)) != sdtpldt0(sdtsldt0(xm,xl),xl) ) ),
inference(superposition,[status(thm)],[c_28638,c_67]) ).
tcf(c_29128,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xm))
| ( sdtpldt0(sdtsldt0(xm,xl),xm) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28639,c_66]) ).
tcf(c_29129,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xm))
| ( sdtpldt0(X0,sdtpldt0(sdtsldt0(xm,xl),xm)) != sdtpldt0(sdtsldt0(xm,xl),xm) ) ),
inference(superposition,[status(thm)],[c_28639,c_67]) ).
tcf(c_29176,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xn))
| ( sdtpldt0(sdtsldt0(xm,xl),xn) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28640,c_66]) ).
tcf(c_29177,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xn))
| ( sdtpldt0(X0,sdtpldt0(sdtsldt0(xm,xl),xn)) != sdtpldt0(sdtsldt0(xm,xl),xn) ) ),
inference(superposition,[status(thm)],[c_28640,c_67]) ).
tcf(c_29181,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5190,c_72]) ).
tcf(c_29182,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_5190,c_53]) ).
tcf(c_29183,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)) != sdtasdt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_5190,c_68]) ).
tcf(c_29184,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)) != sdtasdt0(X0,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_5190,c_69]) ).
tcf(c_29185,plain,
sdtasdt0(sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5190,c_13141]) ).
tcf(c_29186,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_5190,c_12036]) ).
tcf(c_29191,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5191,c_72]) ).
tcf(c_29192,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_5191,c_53]) ).
tcf(c_29193,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_5191,c_68]) ).
tcf(c_29194,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)) != sdtasdt0(X0,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_5191,c_69]) ).
tcf(c_29195,plain,
sdtasdt0(sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5191,c_13029]) ).
tcf(c_29196,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_5191,c_11972]) ).
tcf(c_29204,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xm,xm) ) ),
inference(superposition,[status(thm)],[c_28922,c_66]) ).
tcf(c_29205,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(X0,sdtpldt0(xm,xm)) != sdtpldt0(xm,xm) ) ),
inference(superposition,[status(thm)],[c_28922,c_67]) ).
tcf(c_29207,plain,
sdtpldt0(sz00,sdtpldt0(xn,sz00)) = sdtpldt0(xn,sz00),
inference(superposition,[status(thm)],[c_49,c_27948]) ).
tcf(c_29208,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(X0,X1))) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_27948]) ).
tcf(c_29209,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(X0,X1))) = sdtpldt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_27948]) ).
tcf(c_29210,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(X1,X0))) = sdtpldt0(xn,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_27948]) ).
tcf(c_29211,plain,
sdtpldt0(sz00,sdtpldt0(xn,xl)) = sdtpldt0(xn,xl),
inference(superposition,[status(thm)],[c_101,c_27948]) ).
tcf(c_29212,plain,
sdtpldt0(sz00,sdtpldt0(xn,xm)) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_102,c_27948]) ).
tcf(c_29213,plain,
sdtpldt0(sz00,sdtpldt0(xn,xn)) = sdtpldt0(xn,xn),
inference(superposition,[status(thm)],[c_103,c_27948]) ).
tcf(c_29216,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_27948]) ).
tcf(c_29217,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sdtpldt0(xn,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_27948]) ).
tcf(c_29218,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sdtpldt0(xn,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_27948]) ).
tcf(c_29219,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sdtpldt0(xn,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_27948]) ).
tcf(c_29220,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_27948]) ).
tcf(c_29221,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_27948]) ).
tcf(c_29222,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_27948]) ).
tcf(c_29223,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_27948]) ).
tcf(c_29224,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_27948]) ).
tcf(c_29225,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_27948]) ).
tcf(c_29226,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sdtpldt0(xn,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_27948]) ).
tcf(c_29227,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_27948]) ).
tcf(c_29228,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_27948]) ).
tcf(c_29229,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xm))) = sdtpldt0(xn,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_27948]) ).
tcf(c_29230,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xn))) = sdtpldt0(xn,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_27948]) ).
tcf(c_29231,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm))) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_27948]) ).
tcf(c_29232,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xn))) = sdtpldt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_27948]) ).
tcf(c_29233,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_27948]) ).
tcf(c_29234,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_27948]) ).
tcf(c_29235,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_27948]) ).
tcf(c_29236,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_27948]) ).
tcf(c_29237,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_27948]) ).
tcf(c_29238,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_27948]) ).
tcf(c_29239,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_27948]) ).
tcf(c_29240,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_27948]) ).
tcf(c_29241,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_27948]) ).
tcf(c_29242,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xn))) = sdtpldt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_27948]) ).
tcf(c_29243,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_27948]) ).
tcf(c_29244,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_27948]) ).
tcf(c_29245,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_27948]) ).
tcf(c_29246,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_27948]) ).
tcf(c_29247,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_27948]) ).
tcf(c_29248,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xl))) = sdtpldt0(xn,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_27948]) ).
tcf(c_29337,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,sz00) ) ),
inference(superposition,[status(thm)],[c_29207,c_66]) ).
tcf(c_29338,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtpldt0(X0,sdtpldt0(xn,sz00)) != sdtpldt0(xn,sz00) ) ),
inference(superposition,[status(thm)],[c_29207,c_67]) ).
tcf(c_29346,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_29211,c_66]) ).
tcf(c_29347,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(X0,sdtpldt0(xn,xl)) != sdtpldt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_29211,c_67]) ).
tcf(c_29355,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xn)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12596,c_69]) ).
tcf(c_29361,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xm)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xl,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12597,c_69]) ).
tcf(c_29367,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xn)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xl,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12598,c_69]) ).
tcf(c_29373,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,xn)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xm,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12599,c_69]) ).
tcf(c_29376,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5192,c_71]) ).
tcf(c_29377,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5192,c_70]) ).
tcf(c_29378,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_5192,c_52]) ).
tcf(c_29379,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)) != sdtpldt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_5192,c_66]) ).
tcf(c_29380,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_5192,c_67]) ).
tcf(c_29381,plain,
sdtasdt0(sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5192,c_11219]) ).
tcf(c_29382,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_5192,c_9916]) ).
tcf(c_29418,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5193,c_71]) ).
tcf(c_29419,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5193,c_70]) ).
tcf(c_29420,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_5193,c_52]) ).
tcf(c_29421,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_5193,c_66]) ).
tcf(c_29422,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_5193,c_67]) ).
tcf(c_29423,plain,
sdtasdt0(sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5193,c_10982]) ).
tcf(c_29424,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_5193,c_9719]) ).
tcf(c_29431,plain,
( aNaturalNumber0(sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_6078,c_53]) ).
tcf(c_29432,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl)) != sdtasdt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_6078,c_68]) ).
tcf(c_29434,plain,
sdtasdt0(sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6078,c_13148]) ).
tcf(c_29435,plain,
sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_6078,c_12043]) ).
tcf(c_29472,plain,
( aNaturalNumber0(sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_6079,c_53]) ).
tcf(c_29473,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_6079,c_68]) ).
tcf(c_29475,plain,
sdtasdt0(sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6079,c_13036]) ).
tcf(c_29476,plain,
sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_6079,c_11979]) ).
tcf(c_29481,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6080,c_70]) ).
tcf(c_29482,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_6080,c_52]) ).
tcf(c_29483,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl)) != sdtpldt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_6080,c_66]) ).
tcf(c_29484,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_6080,c_67]) ).
tcf(c_29485,plain,
sdtasdt0(sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6080,c_11226]) ).
tcf(c_29486,plain,
sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_6080,c_9923]) ).
tcf(c_29492,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6081,c_70]) ).
tcf(c_29493,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_6081,c_52]) ).
tcf(c_29494,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_6081,c_66]) ).
tcf(c_29495,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_6081,c_67]) ).
tcf(c_29496,plain,
sdtasdt0(sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6081,c_10989]) ).
tcf(c_29497,plain,
sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_6081,c_9726]) ).
tcf(c_29527,plain,
( aNaturalNumber0(sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6269,c_53]) ).
tcf(c_29528,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl)) != sdtasdt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_6269,c_68]) ).
tcf(c_29530,plain,
sdtasdt0(sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6269,c_13150]) ).
tcf(c_29531,plain,
sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_6269,c_12045]) ).
tcf(c_29536,plain,
( aNaturalNumber0(sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6270,c_53]) ).
tcf(c_29537,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_6270,c_68]) ).
tcf(c_29539,plain,
sdtasdt0(sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6270,c_13038]) ).
tcf(c_29540,plain,
sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_6270,c_11981]) ).
tcf(c_29578,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_29212,c_66]) ).
tcf(c_29579,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_29212,c_67]) ).
tcf(c_29586,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(sz00,X0) != sdtpldt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_29213,c_66]) ).
tcf(c_29587,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(X0,sdtpldt0(xn,xn)) != sdtpldt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_29213,c_67]) ).
tcf(c_29589,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_1928]) ).
tcf(c_29590,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),sz00) = sdtpldt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1928]) ).
tcf(c_29591,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),sz00) = sdtpldt0(sdtasdt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1928]) ).
tcf(c_29592,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(X1,X0),X2),sz00) = sdtpldt0(sdtsldt0(X1,X0),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_1928]) ).
tcf(c_29593,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,X0),sz00) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_1928]) ).
tcf(c_29594,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),sz00) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_1928]) ).
tcf(c_29595,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,X0),sz00) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_1928]) ).
tcf(c_29596,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),X0),sz00) = sdtpldt0(sdtsldt0(xn,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_1928]) ).
tcf(c_29597,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),X0),sz00) = sdtpldt0(sdtsldt0(xm,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_1928]) ).
tcf(c_29598,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xn),X0),sz00) = sdtpldt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_1928]) ).
tcf(c_29599,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,xl),X0),sz00) = sdtpldt0(sdtpldt0(sz00,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_1928]) ).
tcf(c_29600,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,xm),X0),sz00) = sdtpldt0(sdtpldt0(sz00,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_1928]) ).
tcf(c_29601,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,xn),X0),sz00) = sdtpldt0(sdtpldt0(sz00,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_1928]) ).
tcf(c_29602,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0),sz00) = sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_1928]) ).
tcf(c_29603,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0),sz00) = sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_1928]) ).
tcf(c_29604,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0),sz00) = sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_1928]) ).
tcf(c_29605,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0),sz00) = sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_1928]) ).
tcf(c_29606,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0),sz00) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_1928]) ).
tcf(c_29607,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xm),X0),sz00) = sdtpldt0(sdtpldt0(xl,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_1928]) ).
tcf(c_29608,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,xl),X0),sz00) = sdtpldt0(sdtasdt0(sz00,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_1928]) ).
tcf(c_29609,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xn),X0),sz00) = sdtpldt0(sdtpldt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_1928]) ).
tcf(c_29610,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0),sz00) = sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_1928]) ).
tcf(c_29611,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,xm),X0),sz00) = sdtpldt0(sdtasdt0(sz00,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_1928]) ).
tcf(c_29612,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,xn),X0),sz00) = sdtpldt0(sdtasdt0(sz00,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_1928]) ).
tcf(c_29613,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xm),X0),sz00) = sdtpldt0(sdtasdt0(xl,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_1928]) ).
tcf(c_29614,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xn),X0),sz00) = sdtpldt0(sdtasdt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_1928]) ).
tcf(c_29615,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0),sz00) = sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_1928]) ).
tcf(c_29616,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0),sz00) = sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_1928]) ).
tcf(c_29617,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0),sz00) = sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_1928]) ).
tcf(c_29618,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0),sz00) = sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_1928]) ).
tcf(c_29619,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0),sz00) = sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_1928]) ).
tcf(c_29620,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0),sz00) = sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_1928]) ).
tcf(c_29621,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0),sz00) = sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_1928]) ).
tcf(c_29622,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0),sz00) = sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_1928]) ).
tcf(c_29623,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0),sz00) = sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_1928]) ).
tcf(c_29624,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,xn),X0),sz00) = sdtpldt0(sdtasdt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_1928]) ).
tcf(c_29625,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0),sz00) = sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_1928]) ).
tcf(c_29626,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0),sz00) = sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_1928]) ).
tcf(c_29627,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0),sz00) = sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_1928]) ).
tcf(c_29628,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0),sz00) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_1928]) ).
tcf(c_29629,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0),sz00) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_1928]) ).
tcf(c_29630,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,xl),X0),sz00) = sdtpldt0(sdtpldt0(xl,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_1928]) ).
tcf(c_29807,plain,
sdtpldt0(sdtpldt0(sz00,sz00),sz00) = sdtpldt0(sz00,sz00),
inference(superposition,[status(thm)],[c_49,c_29589]) ).
tcf(c_29808,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),sz00) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_29589]) ).
tcf(c_29809,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtasdt0(X0,X1)),sz00) = sdtpldt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_29589]) ).
tcf(c_29810,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sz00,sdtsldt0(X1,X0)),sz00) = sdtpldt0(sz00,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_29589]) ).
tcf(c_29816,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_29589]) ).
tcf(c_29820,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_29589]) ).
tcf(c_29821,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_29589]) ).
tcf(c_29822,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_29589]) ).
tcf(c_29823,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_29589]) ).
tcf(c_29824,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_29589]) ).
tcf(c_29825,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_29589]) ).
tcf(c_29826,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_29589]) ).
tcf(c_29827,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_29589]) ).
tcf(c_29828,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_29589]) ).
tcf(c_29829,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_29589]) ).
tcf(c_29830,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_29589]) ).
tcf(c_29831,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_29589]) ).
tcf(c_29832,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_29589]) ).
tcf(c_29833,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_29589]) ).
tcf(c_29834,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_29589]) ).
tcf(c_29835,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_29589]) ).
tcf(c_29836,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_29589]) ).
tcf(c_29837,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_29589]) ).
tcf(c_29838,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_29589]) ).
tcf(c_29839,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_29589]) ).
tcf(c_29840,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_29589]) ).
tcf(c_29841,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_29589]) ).
tcf(c_29842,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_29589]) ).
tcf(c_29843,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_29589]) ).
tcf(c_29844,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_29589]) ).
tcf(c_29845,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_29589]) ).
tcf(c_29846,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_29589]) ).
tcf(c_29847,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_29589]) ).
tcf(c_29848,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_29589]) ).
tcf(c_30097,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sz00),sz00) = sdtpldt0(sdtsldt0(xn,xl),sz00),
inference(superposition,[status(thm)],[c_49,c_29596]) ).
tcf(c_30098,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_29596]) ).
tcf(c_30099,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_29596]) ).
tcf(c_30100,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_29596]) ).
tcf(c_30101,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),xl),sz00) = sdtpldt0(sdtsldt0(xn,xl),xl),
inference(superposition,[status(thm)],[c_101,c_29596]) ).
tcf(c_30102,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),xm),sz00) = sdtpldt0(sdtsldt0(xn,xl),xm),
inference(superposition,[status(thm)],[c_102,c_29596]) ).
tcf(c_30103,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),xn),sz00) = sdtpldt0(sdtsldt0(xn,xl),xn),
inference(superposition,[status(thm)],[c_103,c_29596]) ).
tcf(c_30104,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_111,c_29596]) ).
tcf(c_30105,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_113,c_29596]) ).
tcf(c_30106,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_29596]) ).
tcf(c_30107,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_29596]) ).
tcf(c_30108,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_29596]) ).
tcf(c_30109,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_29596]) ).
tcf(c_30110,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_29596]) ).
tcf(c_30111,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_29596]) ).
tcf(c_30112,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_29596]) ).
tcf(c_30113,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_29596]) ).
tcf(c_30114,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_29596]) ).
tcf(c_30115,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_29596]) ).
tcf(c_30116,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_29596]) ).
tcf(c_30117,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_29596]) ).
tcf(c_30118,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_29596]) ).
tcf(c_30119,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_29596]) ).
tcf(c_30120,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_29596]) ).
tcf(c_30121,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_29596]) ).
tcf(c_30122,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_29596]) ).
tcf(c_30123,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_29596]) ).
tcf(c_30124,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_29596]) ).
tcf(c_30125,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_29596]) ).
tcf(c_30126,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_29596]) ).
tcf(c_30127,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_29596]) ).
tcf(c_30128,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_29596]) ).
tcf(c_30129,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_29596]) ).
tcf(c_30130,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_29596]) ).
tcf(c_30131,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_29596]) ).
tcf(c_30132,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_29596]) ).
tcf(c_30133,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_29596]) ).
tcf(c_30134,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_29596]) ).
tcf(c_30135,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_29596]) ).
tcf(c_30136,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_29596]) ).
tcf(c_30137,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_29596]) ).
tcf(c_30138,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_29596]) ).
tcf(c_30197,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sz00),sz00) = sdtpldt0(sdtsldt0(xm,xl),sz00),
inference(superposition,[status(thm)],[c_49,c_29597]) ).
tcf(c_30198,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_29597]) ).
tcf(c_30199,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_29597]) ).
tcf(c_30200,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_29597]) ).
tcf(c_30201,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),xl),sz00) = sdtpldt0(sdtsldt0(xm,xl),xl),
inference(superposition,[status(thm)],[c_101,c_29597]) ).
tcf(c_30202,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),xm),sz00) = sdtpldt0(sdtsldt0(xm,xl),xm),
inference(superposition,[status(thm)],[c_102,c_29597]) ).
tcf(c_30203,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),xn),sz00) = sdtpldt0(sdtsldt0(xm,xl),xn),
inference(superposition,[status(thm)],[c_103,c_29597]) ).
tcf(c_30204,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_111,c_29597]) ).
tcf(c_30205,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_113,c_29597]) ).
tcf(c_30206,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_29597]) ).
tcf(c_30207,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_29597]) ).
tcf(c_30208,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_29597]) ).
tcf(c_30209,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_29597]) ).
tcf(c_30210,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_29597]) ).
tcf(c_30211,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_29597]) ).
tcf(c_30212,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_29597]) ).
tcf(c_30213,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_29597]) ).
tcf(c_30214,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_29597]) ).
tcf(c_30215,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_29597]) ).
tcf(c_30216,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_29597]) ).
tcf(c_30217,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_29597]) ).
tcf(c_30218,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_29597]) ).
tcf(c_30219,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_29597]) ).
tcf(c_30220,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_29597]) ).
tcf(c_30221,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_29597]) ).
tcf(c_30222,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_29597]) ).
tcf(c_30223,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_29597]) ).
tcf(c_30224,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_29597]) ).
tcf(c_30225,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_29597]) ).
tcf(c_30226,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_29597]) ).
tcf(c_30227,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_29597]) ).
tcf(c_30228,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_29597]) ).
tcf(c_30229,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_29597]) ).
tcf(c_30230,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_29597]) ).
tcf(c_30231,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_29597]) ).
tcf(c_30232,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_29597]) ).
tcf(c_30233,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_29597]) ).
tcf(c_30234,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_29597]) ).
tcf(c_30235,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_29597]) ).
tcf(c_30236,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_29597]) ).
tcf(c_30237,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_29597]) ).
tcf(c_30238,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_29597]) ).
tcf(c_30382,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) != sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_30104,c_66]) ).
tcf(c_30383,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30104,c_67]) ).
tcf(c_30390,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) != sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_30105,c_66]) ).
tcf(c_30391,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30105,c_67]) ).
tcf(c_30397,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) != sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_30204,c_66]) ).
tcf(c_30398,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30204,c_67]) ).
tcf(c_30441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) != sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_30205,c_66]) ).
tcf(c_30442,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30205,c_67]) ).
tcf(c_30449,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sz00))
| ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sz00),X0) != sdtpldt0(sdtsldt0(xn,xl),sz00) ) ),
inference(superposition,[status(thm)],[c_30097,c_66]) ).
tcf(c_30450,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sz00))
| ( sdtpldt0(sdtsldt0(xn,xl),sz00) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30097,c_67]) ).
tcf(c_30457,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xl))
| ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),xl),X0) != sdtpldt0(sdtsldt0(xn,xl),xl) ) ),
inference(superposition,[status(thm)],[c_30101,c_66]) ).
tcf(c_30458,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xl))
| ( sdtpldt0(sdtsldt0(xn,xl),xl) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30101,c_67]) ).
tcf(c_30464,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sz00))
| ( sdtpldt0(sdtpldt0(sz00,sz00),X0) != sdtpldt0(sz00,sz00) ) ),
inference(superposition,[status(thm)],[c_29807,c_66]) ).
tcf(c_30465,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sz00))
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz00,sz00) ) ),
inference(superposition,[status(thm)],[c_29807,c_67]) ).
tcf(c_30466,plain,
sdtpldt0(sdtpldt0(xl,sz00),sz00) = sdtpldt0(xl,sz00),
inference(superposition,[status(thm)],[c_49,c_29593]) ).
tcf(c_30467,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(X0,X1)),sz00) = sdtpldt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_29593]) ).
tcf(c_30468,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtasdt0(X0,X1)),sz00) = sdtpldt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_29593]) ).
tcf(c_30469,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(xl,sdtsldt0(X1,X0)),sz00) = sdtpldt0(xl,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_29593]) ).
tcf(c_30475,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_29593]) ).
tcf(c_30477,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(xl,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_29593]) ).
tcf(c_30478,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(xl,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_29593]) ).
tcf(c_30479,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_29593]) ).
tcf(c_30480,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_29593]) ).
tcf(c_30481,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_29593]) ).
tcf(c_30482,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_29593]) ).
tcf(c_30483,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_29593]) ).
tcf(c_30484,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_29593]) ).
tcf(c_30485,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(xl,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_29593]) ).
tcf(c_30486,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_29593]) ).
tcf(c_30487,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_29593]) ).
tcf(c_30488,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(xl,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_29593]) ).
tcf(c_30489,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(xl,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_29593]) ).
tcf(c_30490,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_29593]) ).
tcf(c_30491,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xn)),sz00) = sdtpldt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_29593]) ).
tcf(c_30492,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_29593]) ).
tcf(c_30493,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_29593]) ).
tcf(c_30494,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_29593]) ).
tcf(c_30495,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_29593]) ).
tcf(c_30496,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_29593]) ).
tcf(c_30497,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_29593]) ).
tcf(c_30498,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_29593]) ).
tcf(c_30499,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_29593]) ).
tcf(c_30500,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_29593]) ).
tcf(c_30501,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,xn)),sz00) = sdtpldt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_29593]) ).
tcf(c_30502,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_29593]) ).
tcf(c_30503,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_29593]) ).
tcf(c_30504,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_29593]) ).
tcf(c_30505,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_29593]) ).
tcf(c_30506,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_29593]) ).
tcf(c_30507,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xl)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_29593]) ).
tcf(c_30592,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sz00))
| ( sdtpldt0(sdtpldt0(xl,sz00),X0) != sdtpldt0(xl,sz00) ) ),
inference(superposition,[status(thm)],[c_30466,c_66]) ).
tcf(c_30593,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sz00))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xl,sz00) ) ),
inference(superposition,[status(thm)],[c_30466,c_67]) ).
tcf(c_30594,plain,
sdtpldt0(sdtpldt0(xm,sz00),sz00) = sdtpldt0(xm,sz00),
inference(superposition,[status(thm)],[c_49,c_29594]) ).
tcf(c_30595,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(X0,X1)),sz00) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_29594]) ).
tcf(c_30596,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(X0,X1)),sz00) = sdtpldt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_29594]) ).
tcf(c_30597,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(xm,sdtsldt0(X1,X0)),sz00) = sdtpldt0(xm,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_29594]) ).
tcf(c_30598,plain,
sdtpldt0(sdtpldt0(xm,xl),sz00) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_101,c_29594]) ).
tcf(c_30599,plain,
sdtpldt0(sdtpldt0(xm,xm),sz00) = sdtpldt0(xm,xm),
inference(superposition,[status(thm)],[c_102,c_29594]) ).
tcf(c_30603,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_29594]) ).
tcf(c_30604,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(xm,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_29594]) ).
tcf(c_30605,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(xm,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_29594]) ).
tcf(c_30606,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(xm,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_29594]) ).
tcf(c_30607,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_29594]) ).
tcf(c_30608,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_29594]) ).
tcf(c_30609,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_29594]) ).
tcf(c_30610,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_29594]) ).
tcf(c_30611,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_29594]) ).
tcf(c_30612,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_29594]) ).
tcf(c_30613,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(xm,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_29594]) ).
tcf(c_30614,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_29594]) ).
tcf(c_30615,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_29594]) ).
tcf(c_30616,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(xm,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_29594]) ).
tcf(c_30617,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(xm,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_29594]) ).
tcf(c_30618,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_29594]) ).
tcf(c_30619,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xn)),sz00) = sdtpldt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_29594]) ).
tcf(c_30620,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_29594]) ).
tcf(c_30621,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_29594]) ).
tcf(c_30622,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_29594]) ).
tcf(c_30623,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_29594]) ).
tcf(c_30624,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_29594]) ).
tcf(c_30625,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_29594]) ).
tcf(c_30626,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_29594]) ).
tcf(c_30627,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_29594]) ).
tcf(c_30628,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_29594]) ).
tcf(c_30629,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,xn)),sz00) = sdtpldt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_29594]) ).
tcf(c_30630,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_29594]) ).
tcf(c_30631,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_29594]) ).
tcf(c_30632,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_29594]) ).
tcf(c_30633,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_29594]) ).
tcf(c_30634,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_29594]) ).
tcf(c_30635,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xl)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_29594]) ).
tcf(c_30757,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xm))
| ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),xm),X0) != sdtpldt0(sdtsldt0(xn,xl),xm) ) ),
inference(superposition,[status(thm)],[c_30102,c_66]) ).
tcf(c_30758,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xm))
| ( sdtpldt0(sdtsldt0(xn,xl),xm) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30102,c_67]) ).
tcf(c_30765,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xn))
| ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),xn),X0) != sdtpldt0(sdtsldt0(xn,xl),xn) ) ),
inference(superposition,[status(thm)],[c_30103,c_66]) ).
tcf(c_30766,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xn,xl),xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),xn))
| ( sdtpldt0(sdtsldt0(xn,xl),xn) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30103,c_67]) ).
tcf(c_30773,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sz00))
| ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sz00),X0) != sdtpldt0(sdtsldt0(xm,xl),sz00) ) ),
inference(superposition,[status(thm)],[c_30197,c_66]) ).
tcf(c_30774,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sz00))
| ( sdtpldt0(sdtsldt0(xm,xl),sz00) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30197,c_67]) ).
tcf(c_30804,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xl))
| ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),xl),X0) != sdtpldt0(sdtsldt0(xm,xl),xl) ) ),
inference(superposition,[status(thm)],[c_30201,c_66]) ).
tcf(c_30805,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xl))
| ( sdtpldt0(sdtsldt0(xm,xl),xl) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30201,c_67]) ).
tcf(c_30812,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xm))
| ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),xm),X0) != sdtpldt0(sdtsldt0(xm,xl),xm) ) ),
inference(superposition,[status(thm)],[c_30202,c_66]) ).
tcf(c_30813,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xm))
| ( sdtpldt0(sdtsldt0(xm,xl),xm) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30202,c_67]) ).
tcf(c_30820,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xn))
| ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),xn),X0) != sdtpldt0(sdtsldt0(xm,xl),xn) ) ),
inference(superposition,[status(thm)],[c_30203,c_66]) ).
tcf(c_30821,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),xn))
| ( sdtpldt0(sdtsldt0(xm,xl),xn) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30203,c_67]) ).
tcf(c_30844,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6271,c_70]) ).
tcf(c_30845,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6271,c_52]) ).
tcf(c_30846,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl)) != sdtpldt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_6271,c_66]) ).
tcf(c_30847,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_6271,c_67]) ).
tcf(c_30848,plain,
sdtasdt0(sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6271,c_11228]) ).
tcf(c_30849,plain,
sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_6271,c_9925]) ).
tcf(c_30876,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6272,c_70]) ).
tcf(c_30877,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_6272,c_52]) ).
tcf(c_30878,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_6272,c_66]) ).
tcf(c_30879,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_6272,c_67]) ).
tcf(c_30880,plain,
sdtasdt0(sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6272,c_10991]) ).
tcf(c_30881,plain,
sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_6272,c_9728]) ).
tcf(c_30889,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sz00))
| ( sdtpldt0(sdtpldt0(xm,sz00),X0) != sdtpldt0(xm,sz00) ) ),
inference(superposition,[status(thm)],[c_30594,c_66]) ).
tcf(c_30890,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sz00))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,sz00) ) ),
inference(superposition,[status(thm)],[c_30594,c_67]) ).
tcf(c_30920,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(sdtpldt0(xm,xl),X0) != sdtpldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_30598,c_66]) ).
tcf(c_30921,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_30598,c_67]) ).
tcf(c_30927,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(sdtpldt0(xm,xm),X0) != sdtpldt0(xm,xm) ) ),
inference(superposition,[status(thm)],[c_30599,c_66]) ).
tcf(c_30928,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xm,xm) ) ),
inference(superposition,[status(thm)],[c_30599,c_67]) ).
tcf(c_30929,plain,
sdtpldt0(sdtpldt0(xn,sz00),sz00) = sdtpldt0(xn,sz00),
inference(superposition,[status(thm)],[c_49,c_29595]) ).
tcf(c_30930,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(X0,X1)),sz00) = sdtpldt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_29595]) ).
tcf(c_30931,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtasdt0(X0,X1)),sz00) = sdtpldt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_29595]) ).
tcf(c_30932,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtpldt0(xn,sdtsldt0(X1,X0)),sz00) = sdtpldt0(xn,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_29595]) ).
tcf(c_30933,plain,
sdtpldt0(sdtpldt0(xn,xl),sz00) = sdtpldt0(xn,xl),
inference(superposition,[status(thm)],[c_101,c_29595]) ).
tcf(c_30934,plain,
sdtpldt0(sdtpldt0(xn,xm),sz00) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_102,c_29595]) ).
tcf(c_30935,plain,
sdtpldt0(sdtpldt0(xn,xn),sz00) = sdtpldt0(xn,xn),
inference(superposition,[status(thm)],[c_103,c_29595]) ).
tcf(c_30938,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_29595]) ).
tcf(c_30939,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(xn,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_29595]) ).
tcf(c_30940,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(xn,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_29595]) ).
tcf(c_30941,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(xn,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_29595]) ).
tcf(c_30942,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_29595]) ).
tcf(c_30943,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_29595]) ).
tcf(c_30944,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_29595]) ).
tcf(c_30945,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_29595]) ).
tcf(c_30946,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_29595]) ).
tcf(c_30947,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_29595]) ).
tcf(c_30948,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(xn,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_29595]) ).
tcf(c_30949,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_29595]) ).
tcf(c_30950,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_29595]) ).
tcf(c_30951,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(xn,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_29595]) ).
tcf(c_30952,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(xn,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_29595]) ).
tcf(c_30953,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_29595]) ).
tcf(c_30954,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xn)),sz00) = sdtpldt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_29595]) ).
tcf(c_30955,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_29595]) ).
tcf(c_30956,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_29595]) ).
tcf(c_30957,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_29595]) ).
tcf(c_30958,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_29595]) ).
tcf(c_30959,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_29595]) ).
tcf(c_30960,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_29595]) ).
tcf(c_30961,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_29595]) ).
tcf(c_30962,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_29595]) ).
tcf(c_30963,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_29595]) ).
tcf(c_30964,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,xn)),sz00) = sdtpldt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_29595]) ).
tcf(c_30965,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_29595]) ).
tcf(c_30966,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_29595]) ).
tcf(c_30967,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_29595]) ).
tcf(c_30968,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_29595]) ).
tcf(c_30969,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_29595]) ).
tcf(c_30970,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xl)),sz00) = sdtpldt0(xn,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_29595]) ).
tcf(c_31174,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sz00,xl) != xn ) ),
inference(global_subsumption_just,[status(thm)],[c_6360,c_49,c_6360]) ).
tcf(c_31177,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sz00,xl) != xm ) ),
inference(global_subsumption_just,[status(thm)],[c_6381,c_49,c_6381]) ).
tcf(c_31184,plain,
( aNaturalNumber0(sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6548,c_53]) ).
tcf(c_31185,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl)) != sdtasdt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_6548,c_68]) ).
tcf(c_31187,plain,
sdtasdt0(sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6548,c_13151]) ).
tcf(c_31188,plain,
sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_6548,c_12046]) ).
tcf(c_31193,plain,
( aNaturalNumber0(sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6549,c_53]) ).
tcf(c_31194,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_6549,c_68]) ).
tcf(c_31196,plain,
sdtasdt0(sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6549,c_13039]) ).
tcf(c_31197,plain,
sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_6549,c_11982]) ).
tcf(c_31202,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6550,c_70]) ).
tcf(c_31203,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6550,c_52]) ).
tcf(c_31204,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl)) != sdtpldt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_6550,c_66]) ).
tcf(c_31205,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_6550,c_67]) ).
tcf(c_31206,plain,
sdtasdt0(sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6550,c_11229]) ).
tcf(c_31207,plain,
sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_6550,c_9926]) ).
tcf(c_31244,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_6551,c_70]) ).
tcf(c_31245,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_6551,c_52]) ).
tcf(c_31246,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_6551,c_66]) ).
tcf(c_31247,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_6551,c_67]) ).
tcf(c_31248,plain,
sdtasdt0(sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6551,c_10992]) ).
tcf(c_31249,plain,
sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_6551,c_9729]) ).
tcf(c_31253,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7122,c_72]) ).
tcf(c_31254,plain,
( aNaturalNumber0(sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_7122,c_53]) ).
tcf(c_31255,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)) != sdtasdt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_7122,c_68]) ).
tcf(c_31256,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)) != sdtasdt0(X0,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_7122,c_69]) ).
tcf(c_31257,plain,
sdtasdt0(sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7122,c_13152]) ).
tcf(c_31258,plain,
sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_7122,c_12047]) ).
tcf(c_31263,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7123,c_72]) ).
tcf(c_31264,plain,
( aNaturalNumber0(sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_7123,c_53]) ).
tcf(c_31265,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_7123,c_68]) ).
tcf(c_31266,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)) != sdtasdt0(X0,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_7123,c_69]) ).
tcf(c_31267,plain,
sdtasdt0(sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7123,c_13040]) ).
tcf(c_31268,plain,
sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_7123,c_11983]) ).
tcf(c_31287,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtpldt0(sdtpldt0(xn,sz00),X0) != sdtpldt0(xn,sz00) ) ),
inference(superposition,[status(thm)],[c_30929,c_66]) ).
tcf(c_31288,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,sz00) ) ),
inference(superposition,[status(thm)],[c_30929,c_67]) ).
tcf(c_31295,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(sdtpldt0(xn,xl),X0) != sdtpldt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_30933,c_66]) ).
tcf(c_31296,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_30933,c_67]) ).
tcf(c_31307,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_30934,c_66]) ).
tcf(c_31308,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_30934,c_67]) ).
tcf(c_31328,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(sdtpldt0(xn,xn),X0) != sdtpldt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_30935,c_66]) ).
tcf(c_31329,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(X0,sz00) != sdtpldt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_30935,c_67]) ).
tcf(c_31366,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13225,c_68]) ).
tcf(c_31372,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13232,c_68]) ).
tcf(c_31378,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtsldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13239,c_68]) ).
tcf(c_31385,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13254,c_68]) ).
tcf(c_31389,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7124,c_71]) ).
tcf(c_31390,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7124,c_70]) ).
tcf(c_31391,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_7124,c_52]) ).
tcf(c_31392,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)) != sdtpldt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_7124,c_66]) ).
tcf(c_31393,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_7124,c_67]) ).
tcf(c_31394,plain,
sdtasdt0(sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7124,c_11230]) ).
tcf(c_31395,plain,
sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_7124,c_9927]) ).
tcf(c_31400,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7125,c_71]) ).
tcf(c_31401,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7125,c_70]) ).
tcf(c_31402,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_7125,c_52]) ).
tcf(c_31403,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_7125,c_66]) ).
tcf(c_31404,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_7125,c_67]) ).
tcf(c_31405,plain,
sdtasdt0(sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7125,c_10993]) ).
tcf(c_31406,plain,
sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_7125,c_9730]) ).
tcf(c_31466,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7582,c_72]) ).
tcf(c_31467,plain,
( aNaturalNumber0(sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_7582,c_53]) ).
tcf(c_31468,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_7582,c_68]) ).
tcf(c_31469,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(X0,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_7582,c_69]) ).
tcf(c_31470,plain,
sdtasdt0(sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7582,c_13153]) ).
tcf(c_31471,plain,
sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_7582,c_12048]) ).
tcf(c_31476,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7583,c_72]) ).
tcf(c_31477,plain,
( aNaturalNumber0(sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_7583,c_53]) ).
tcf(c_31478,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_7583,c_68]) ).
tcf(c_31479,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)) != sdtasdt0(X0,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_7583,c_69]) ).
tcf(c_31480,plain,
sdtasdt0(sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7583,c_13041]) ).
tcf(c_31481,plain,
sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_7583,c_11984]) ).
tcf(c_31486,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7584,c_71]) ).
tcf(c_31487,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7584,c_70]) ).
tcf(c_31488,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_7584,c_52]) ).
tcf(c_31489,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtpldt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_7584,c_66]) ).
tcf(c_31490,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_7584,c_67]) ).
tcf(c_31491,plain,
sdtasdt0(sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7584,c_11231]) ).
tcf(c_31492,plain,
sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_7584,c_9928]) ).
tcf(c_31503,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7585,c_71]) ).
tcf(c_31504,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_7585,c_70]) ).
tcf(c_31505,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_7585,c_52]) ).
tcf(c_31506,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_7585,c_66]) ).
tcf(c_31507,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_7585,c_67]) ).
tcf(c_31508,plain,
sdtasdt0(sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7585,c_10994]) ).
tcf(c_31509,plain,
sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_7585,c_9731]) ).
tcf(c_31557,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8112,c_72]) ).
tcf(c_31558,plain,
( aNaturalNumber0(sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_8112,c_53]) ).
tcf(c_31559,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)) != sdtasdt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_8112,c_68]) ).
tcf(c_31560,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)) != sdtasdt0(X0,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_8112,c_69]) ).
tcf(c_31561,plain,
sdtasdt0(sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8112,c_13154]) ).
tcf(c_31562,plain,
sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_8112,c_12049]) ).
tcf(c_31567,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8113,c_72]) ).
tcf(c_31568,plain,
( aNaturalNumber0(sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_8113,c_53]) ).
tcf(c_31569,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_8113,c_68]) ).
tcf(c_31570,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)) != sdtasdt0(X0,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_8113,c_69]) ).
tcf(c_31571,plain,
sdtasdt0(sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8113,c_13042]) ).
tcf(c_31572,plain,
sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_8113,c_11985]) ).
tcf(c_31619,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,X0)) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_1941]) ).
tcf(c_31620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(X0,X1),X2)) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1941]) ).
tcf(c_31621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(X0,X1),X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1941]) ).
tcf(c_31622,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(X1,X0),X2)) = sdtasdt0(sdtsldt0(X1,X0),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_1941]) ).
tcf(c_31623,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xl,X0)) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_1941]) ).
tcf(c_31624,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xm,X0)) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_1941]) ).
tcf(c_31625,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xn,X0)) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_1941]) ).
tcf(c_31626,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_1941]) ).
tcf(c_31627,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_1941]) ).
tcf(c_31628,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xm,xn),X0)) = sdtasdt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_1941]) ).
tcf(c_31629,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,xl),X0)) = sdtasdt0(sdtpldt0(sz00,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_1941]) ).
tcf(c_31630,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,xm),X0)) = sdtasdt0(sdtpldt0(sz00,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_1941]) ).
tcf(c_31631,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,xn),X0)) = sdtasdt0(sdtpldt0(sz00,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_1941]) ).
tcf(c_31632,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0)) = sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_1941]) ).
tcf(c_31633,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0)) = sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_1941]) ).
tcf(c_31634,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0)) = sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_1941]) ).
tcf(c_31635,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0)) = sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_1941]) ).
tcf(c_31636,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0)) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_1941]) ).
tcf(c_31637,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0)) = sdtasdt0(sdtpldt0(xl,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_1941]) ).
tcf(c_31638,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,xl),X0)) = sdtasdt0(sdtasdt0(sz00,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_1941]) ).
tcf(c_31639,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0)) = sdtasdt0(sdtpldt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_1941]) ).
tcf(c_31640,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_1941]) ).
tcf(c_31641,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,xm),X0)) = sdtasdt0(sdtasdt0(sz00,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_1941]) ).
tcf(c_31642,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,xn),X0)) = sdtasdt0(sdtasdt0(sz00,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_1941]) ).
tcf(c_31643,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(xl,xm),X0)) = sdtasdt0(sdtasdt0(xl,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_1941]) ).
tcf(c_31644,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(xl,xn),X0)) = sdtasdt0(sdtasdt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_1941]) ).
tcf(c_31645,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0)) = sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_1941]) ).
tcf(c_31646,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0)) = sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_1941]) ).
tcf(c_31647,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0)) = sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_1941]) ).
tcf(c_31648,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0)) = sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_1941]) ).
tcf(c_31649,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0)) = sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_1941]) ).
tcf(c_31650,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0)) = sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_1941]) ).
tcf(c_31651,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0)) = sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_1941]) ).
tcf(c_31652,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0)) = sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_1941]) ).
tcf(c_31653,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0)) = sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_1941]) ).
tcf(c_31654,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(xm,xn),X0)) = sdtasdt0(sdtasdt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_1941]) ).
tcf(c_31655,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0)) = sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_1941]) ).
tcf(c_31656,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0)) = sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_1941]) ).
tcf(c_31657,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0)) = sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_1941]) ).
tcf(c_31658,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0)) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_1941]) ).
tcf(c_31659,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0)) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_1941]) ).
tcf(c_31660,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,xl),X0)) = sdtasdt0(sdtpldt0(xl,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_1941]) ).
tcf(c_31745,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sz00)) = sdtasdt0(sz00,sz00),
inference(superposition,[status(thm)],[c_49,c_31619]) ).
tcf(c_31746,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(X0,X1))) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_31619]) ).
tcf(c_31747,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(X0,X1))) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_31619]) ).
tcf(c_31748,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(X1,X0))) = sdtasdt0(sz00,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_31619]) ).
tcf(c_31754,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sdtasdt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_31619]) ).
tcf(c_31755,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sdtasdt0(sz00,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_31619]) ).
tcf(c_31756,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sdtasdt0(sz00,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_31619]) ).
tcf(c_31757,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sdtasdt0(sz00,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_31619]) ).
tcf(c_31758,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_31619]) ).
tcf(c_31759,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_31619]) ).
tcf(c_31760,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_31619]) ).
tcf(c_31761,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_31619]) ).
tcf(c_31762,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_31619]) ).
tcf(c_31763,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sdtasdt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_31619]) ).
tcf(c_31764,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sdtasdt0(sz00,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_31619]) ).
tcf(c_31765,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sdtasdt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_31619]) ).
tcf(c_31766,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_31619]) ).
tcf(c_31767,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xm))) = sdtasdt0(sz00,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_31619]) ).
tcf(c_31768,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xn))) = sdtasdt0(sz00,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_31619]) ).
tcf(c_31769,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xm))) = sdtasdt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_31619]) ).
tcf(c_31770,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xn))) = sdtasdt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_31619]) ).
tcf(c_31771,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_31619]) ).
tcf(c_31772,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_31619]) ).
tcf(c_31773,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_31619]) ).
tcf(c_31774,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_31619]) ).
tcf(c_31775,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_31619]) ).
tcf(c_31776,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_31619]) ).
tcf(c_31777,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_31619]) ).
tcf(c_31778,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_31619]) ).
tcf(c_31779,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_31619]) ).
tcf(c_31780,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,xn))) = sdtasdt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_31619]) ).
tcf(c_31781,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_31619]) ).
tcf(c_31782,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_31619]) ).
tcf(c_31783,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_31619]) ).
tcf(c_31784,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_31619]) ).
tcf(c_31785,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_31619]) ).
tcf(c_31786,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xl))) = sdtasdt0(sz00,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_31619]) ).
tcf(c_31900,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(sz00,X0) != sdtasdt0(sz00,sz00) ) ),
inference(superposition,[status(thm)],[c_31745,c_66]) ).
tcf(c_31901,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(X0,sdtasdt0(sz00,sz00)) != sdtasdt0(sz00,sz00) ) ),
inference(superposition,[status(thm)],[c_31745,c_67]) ).
tcf(c_31902,plain,
sdtpldt0(sz00,sdtasdt0(xl,sz00)) = sdtasdt0(xl,sz00),
inference(superposition,[status(thm)],[c_49,c_31623]) ).
tcf(c_31903,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(X0,X1))) = sdtasdt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_31623]) ).
tcf(c_31904,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(X0,X1))) = sdtasdt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_31623]) ).
tcf(c_31905,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(X1,X0))) = sdtasdt0(xl,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_31623]) ).
tcf(c_31906,plain,
sdtpldt0(sz00,sdtasdt0(xl,xl)) = sdtasdt0(xl,xl),
inference(superposition,[status(thm)],[c_101,c_31623]) ).
tcf(c_31911,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn))) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_31623]) ).
tcf(c_31912,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xl))) = sdtasdt0(xl,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_31623]) ).
tcf(c_31913,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xm))) = sdtasdt0(xl,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_31623]) ).
tcf(c_31914,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xn))) = sdtasdt0(xl,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_31623]) ).
tcf(c_31915,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_31623]) ).
tcf(c_31916,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_31623]) ).
tcf(c_31917,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_31623]) ).
tcf(c_31918,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_31623]) ).
tcf(c_31919,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_31623]) ).
tcf(c_31920,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm))) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_31623]) ).
tcf(c_31921,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xl))) = sdtasdt0(xl,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_31623]) ).
tcf(c_31922,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn))) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_31623]) ).
tcf(c_31923,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_31623]) ).
tcf(c_31924,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xm))) = sdtasdt0(xl,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_31623]) ).
tcf(c_31925,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xn))) = sdtasdt0(xl,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_31623]) ).
tcf(c_31926,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm))) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_31623]) ).
tcf(c_31927,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xn))) = sdtasdt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_31623]) ).
tcf(c_31928,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_31623]) ).
tcf(c_31929,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_31623]) ).
tcf(c_31930,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_31623]) ).
tcf(c_31931,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_31623]) ).
tcf(c_31932,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_31623]) ).
tcf(c_31933,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_31623]) ).
tcf(c_31934,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_31623]) ).
tcf(c_31935,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_31623]) ).
tcf(c_31936,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_31623]) ).
tcf(c_31937,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xm,xn))) = sdtasdt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_31623]) ).
tcf(c_31938,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_31623]) ).
tcf(c_31939,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_31623]) ).
tcf(c_31940,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_31623]) ).
tcf(c_31941,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_31623]) ).
tcf(c_31942,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_31623]) ).
tcf(c_31943,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xl))) = sdtasdt0(xl,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_31623]) ).
tcf(c_32042,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13346,c_68]) ).
tcf(c_32048,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtsldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13353,c_68]) ).
tcf(c_32054,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13411,c_68]) ).
tcf(c_32061,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xl)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13412,c_68]) ).
tcf(c_32063,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sz00)) = sdtasdt0(sdtsldt0(xn,xl),sz00),
inference(superposition,[status(thm)],[c_49,c_31626]) ).
tcf(c_32064,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_31626]) ).
tcf(c_32065,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_31626]) ).
tcf(c_32066,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0))) = sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_31626]) ).
tcf(c_32067,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xl)) = sdtasdt0(sdtsldt0(xn,xl),xl),
inference(superposition,[status(thm)],[c_101,c_31626]) ).
tcf(c_32068,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xm)) = sdtasdt0(sdtsldt0(xn,xl),xm),
inference(superposition,[status(thm)],[c_102,c_31626]) ).
tcf(c_32069,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xn)) = sdtasdt0(sdtsldt0(xn,xl),xn),
inference(superposition,[status(thm)],[c_103,c_31626]) ).
tcf(c_32070,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_111,c_31626]) ).
tcf(c_32071,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_113,c_31626]) ).
tcf(c_32072,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_31626]) ).
tcf(c_32073,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_31626]) ).
tcf(c_32074,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_31626]) ).
tcf(c_32075,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_31626]) ).
tcf(c_32076,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_31626]) ).
tcf(c_32077,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_31626]) ).
tcf(c_32078,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_31626]) ).
tcf(c_32079,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_31626]) ).
tcf(c_32080,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_31626]) ).
tcf(c_32081,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_31626]) ).
tcf(c_32082,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_31626]) ).
tcf(c_32083,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_31626]) ).
tcf(c_32084,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_31626]) ).
tcf(c_32085,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_31626]) ).
tcf(c_32086,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_31626]) ).
tcf(c_32087,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_31626]) ).
tcf(c_32088,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_31626]) ).
tcf(c_32089,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_31626]) ).
tcf(c_32090,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_31626]) ).
tcf(c_32091,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_31626]) ).
tcf(c_32092,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_31626]) ).
tcf(c_32093,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_31626]) ).
tcf(c_32094,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_31626]) ).
tcf(c_32095,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_31626]) ).
tcf(c_32096,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_31626]) ).
tcf(c_32097,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_31626]) ).
tcf(c_32098,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_31626]) ).
tcf(c_32099,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_31626]) ).
tcf(c_32100,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_31626]) ).
tcf(c_32101,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_31626]) ).
tcf(c_32102,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_31626]) ).
tcf(c_32103,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_31626]) ).
tcf(c_32104,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_31626]) ).
tcf(c_32193,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sz00)) = sdtasdt0(sdtsldt0(xm,xl),sz00),
inference(superposition,[status(thm)],[c_49,c_31627]) ).
tcf(c_32194,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_31627]) ).
tcf(c_32195,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_31627]) ).
tcf(c_32196,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0))) = sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_31627]) ).
tcf(c_32197,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xl)) = sdtasdt0(sdtsldt0(xm,xl),xl),
inference(superposition,[status(thm)],[c_101,c_31627]) ).
tcf(c_32198,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xm)) = sdtasdt0(sdtsldt0(xm,xl),xm),
inference(superposition,[status(thm)],[c_102,c_31627]) ).
tcf(c_32199,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xn)) = sdtasdt0(sdtsldt0(xm,xl),xn),
inference(superposition,[status(thm)],[c_103,c_31627]) ).
tcf(c_32200,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_111,c_31627]) ).
tcf(c_32201,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_113,c_31627]) ).
tcf(c_32202,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_31627]) ).
tcf(c_32203,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_31627]) ).
tcf(c_32204,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_31627]) ).
tcf(c_32205,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_31627]) ).
tcf(c_32206,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_31627]) ).
tcf(c_32207,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_31627]) ).
tcf(c_32208,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_31627]) ).
tcf(c_32209,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_31627]) ).
tcf(c_32210,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_31627]) ).
tcf(c_32211,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_31627]) ).
tcf(c_32212,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_31627]) ).
tcf(c_32213,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_31627]) ).
tcf(c_32214,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_31627]) ).
tcf(c_32215,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_31627]) ).
tcf(c_32216,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_31627]) ).
tcf(c_32217,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_31627]) ).
tcf(c_32218,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_31627]) ).
tcf(c_32219,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_31627]) ).
tcf(c_32220,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_31627]) ).
tcf(c_32221,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_31627]) ).
tcf(c_32222,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_31627]) ).
tcf(c_32223,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_31627]) ).
tcf(c_32224,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_31627]) ).
tcf(c_32225,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_31627]) ).
tcf(c_32226,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_31627]) ).
tcf(c_32227,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_31627]) ).
tcf(c_32228,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_31627]) ).
tcf(c_32229,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_31627]) ).
tcf(c_32230,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_31627]) ).
tcf(c_32231,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_31627]) ).
tcf(c_32232,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_31627]) ).
tcf(c_32233,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_31627]) ).
tcf(c_32234,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_31627]) ).
tcf(c_32488,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_32070,c_66]) ).
tcf(c_32489,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) != sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_32070,c_67]) ).
tcf(c_32497,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_32071,c_66]) ).
tcf(c_32498,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) != sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_32071,c_67]) ).
tcf(c_32505,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_32200,c_66]) ).
tcf(c_32506,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_32200,c_67]) ).
tcf(c_32513,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_32201,c_66]) ).
tcf(c_32514,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) != sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_32201,c_67]) ).
tcf(c_32544,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sz00))
| ( sdtasdt0(sdtsldt0(xn,xl),sz00) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_32063,c_66]) ).
tcf(c_32545,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sz00))
| ( sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),sz00)) != sdtasdt0(sdtsldt0(xn,xl),sz00) ) ),
inference(superposition,[status(thm)],[c_32063,c_67]) ).
tcf(c_32552,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xl))
| ( sdtasdt0(sdtsldt0(xn,xl),xl) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_32067,c_66]) ).
tcf(c_32553,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xl))
| ( sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),xl)) != sdtasdt0(sdtsldt0(xn,xl),xl) ) ),
inference(superposition,[status(thm)],[c_32067,c_67]) ).
tcf(c_32562,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sz00))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,sz00) ) ),
inference(superposition,[status(thm)],[c_31902,c_66]) ).
tcf(c_32563,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sz00))
| ( sdtpldt0(X0,sdtasdt0(xl,sz00)) != sdtasdt0(xl,sz00) ) ),
inference(superposition,[status(thm)],[c_31902,c_67]) ).
tcf(c_32569,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xl))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xl,xl) ) ),
inference(superposition,[status(thm)],[c_31906,c_66]) ).
tcf(c_32570,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xl))
| ( sdtpldt0(X0,sdtasdt0(xl,xl)) != sdtasdt0(xl,xl) ) ),
inference(superposition,[status(thm)],[c_31906,c_67]) ).
tcf(c_32572,plain,
sdtpldt0(sz00,sdtasdt0(xm,sz00)) = sdtasdt0(xm,sz00),
inference(superposition,[status(thm)],[c_49,c_31624]) ).
tcf(c_32573,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(X0,X1))) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_31624]) ).
tcf(c_32574,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(X0,X1))) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_31624]) ).
tcf(c_32575,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(X1,X0))) = sdtasdt0(xm,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_31624]) ).
tcf(c_32576,plain,
sdtpldt0(sz00,sdtasdt0(xm,xl)) = sdtasdt0(xm,xl),
inference(superposition,[status(thm)],[c_101,c_31624]) ).
tcf(c_32577,plain,
sdtpldt0(sz00,sdtasdt0(xm,xm)) = sdtasdt0(xm,xm),
inference(superposition,[status(thm)],[c_102,c_31624]) ).
tcf(c_32581,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xn))) = sdtasdt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_31624]) ).
tcf(c_32582,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xl))) = sdtasdt0(xm,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_31624]) ).
tcf(c_32583,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xm))) = sdtasdt0(xm,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_31624]) ).
tcf(c_32584,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xn))) = sdtasdt0(xm,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_31624]) ).
tcf(c_32585,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_31624]) ).
tcf(c_32586,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_31624]) ).
tcf(c_32587,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_31624]) ).
tcf(c_32588,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_31624]) ).
tcf(c_32589,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_31624]) ).
tcf(c_32590,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xm))) = sdtasdt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_31624]) ).
tcf(c_32591,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xl))) = sdtasdt0(xm,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_31624]) ).
tcf(c_32592,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xn))) = sdtasdt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_31624]) ).
tcf(c_32593,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_31624]) ).
tcf(c_32594,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xm))) = sdtasdt0(xm,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_31624]) ).
tcf(c_32595,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xn))) = sdtasdt0(xm,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_31624]) ).
tcf(c_32596,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xm))) = sdtasdt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_31624]) ).
tcf(c_32597,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xn))) = sdtasdt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_31624]) ).
tcf(c_32598,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_31624]) ).
tcf(c_32599,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_31624]) ).
tcf(c_32600,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_31624]) ).
tcf(c_32601,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_31624]) ).
tcf(c_32602,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_31624]) ).
tcf(c_32603,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_31624]) ).
tcf(c_32604,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_31624]) ).
tcf(c_32605,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_31624]) ).
tcf(c_32606,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_31624]) ).
tcf(c_32607,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xn))) = sdtasdt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_31624]) ).
tcf(c_32608,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_31624]) ).
tcf(c_32609,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_31624]) ).
tcf(c_32610,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_31624]) ).
tcf(c_32611,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_31624]) ).
tcf(c_32612,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_31624]) ).
tcf(c_32613,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xl))) = sdtasdt0(xm,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_31624]) ).
tcf(c_32713,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sz00))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,sz00) ) ),
inference(superposition,[status(thm)],[c_32572,c_66]) ).
tcf(c_32714,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sz00))
| ( sdtpldt0(X0,sdtasdt0(xm,sz00)) != sdtasdt0(xm,sz00) ) ),
inference(superposition,[status(thm)],[c_32572,c_67]) ).
tcf(c_32720,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xm)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13413,c_68]) ).
tcf(c_32727,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xn)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13414,c_68]) ).
tcf(c_32733,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13417,c_68]) ).
tcf(c_32740,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xl)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13418,c_68]) ).
tcf(c_32748,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xm))
| ( sdtasdt0(sdtsldt0(xn,xl),xm) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_32068,c_66]) ).
tcf(c_32749,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xm))
| ( sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),xm)) != sdtasdt0(sdtsldt0(xn,xl),xm) ) ),
inference(superposition,[status(thm)],[c_32068,c_67]) ).
tcf(c_32786,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xn))
| ( sdtasdt0(sdtsldt0(xn,xl),xn) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_32069,c_66]) ).
tcf(c_32787,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xn))
| ( sdtpldt0(X0,sdtasdt0(sdtsldt0(xn,xl),xn)) != sdtasdt0(sdtsldt0(xn,xl),xn) ) ),
inference(superposition,[status(thm)],[c_32069,c_67]) ).
tcf(c_32796,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sz00))
| ( sdtasdt0(sdtsldt0(xm,xl),sz00) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_32193,c_66]) ).
tcf(c_32797,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sz00))
| ( sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),sz00)) != sdtasdt0(sdtsldt0(xm,xl),sz00) ) ),
inference(superposition,[status(thm)],[c_32193,c_67]) ).
tcf(c_32804,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xl))
| ( sdtasdt0(sdtsldt0(xm,xl),xl) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_32197,c_66]) ).
tcf(c_32805,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xl))
| ( sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),xl)) != sdtasdt0(sdtsldt0(xm,xl),xl) ) ),
inference(superposition,[status(thm)],[c_32197,c_67]) ).
tcf(c_32813,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xm))
| ( sdtasdt0(sdtsldt0(xm,xl),xm) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_32198,c_66]) ).
tcf(c_32814,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xm))
| ( sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),xm)) != sdtasdt0(sdtsldt0(xm,xl),xm) ) ),
inference(superposition,[status(thm)],[c_32198,c_67]) ).
tcf(c_32822,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xn))
| ( sdtasdt0(sdtsldt0(xm,xl),xn) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_32199,c_66]) ).
tcf(c_32823,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xn))
| ( sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),xn)) != sdtasdt0(sdtsldt0(xm,xl),xn) ) ),
inference(superposition,[status(thm)],[c_32199,c_67]) ).
tcf(c_32827,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8114,c_71]) ).
tcf(c_32828,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8114,c_70]) ).
tcf(c_32829,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_8114,c_52]) ).
tcf(c_32830,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)) != sdtpldt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_8114,c_66]) ).
tcf(c_32831,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_8114,c_67]) ).
tcf(c_32832,plain,
sdtasdt0(sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8114,c_11232]) ).
tcf(c_32833,plain,
sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_8114,c_9929]) ).
tcf(c_32857,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8115,c_71]) ).
tcf(c_32858,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8115,c_70]) ).
tcf(c_32859,plain,
( aNaturalNumber0(sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_8115,c_52]) ).
tcf(c_32860,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_8115,c_66]) ).
tcf(c_32861,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_8115,c_67]) ).
tcf(c_32862,plain,
sdtasdt0(sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8115,c_10995]) ).
tcf(c_32863,plain,
sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_8115,c_9732]) ).
tcf(c_32891,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xl))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_32576,c_66]) ).
tcf(c_32892,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xl))
| ( sdtpldt0(X0,sdtasdt0(xm,xl)) != sdtasdt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_32576,c_67]) ).
tcf(c_32899,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xm,xm) ) ),
inference(superposition,[status(thm)],[c_32577,c_66]) ).
tcf(c_32900,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ( sdtpldt0(X0,sdtasdt0(xm,xm)) != sdtasdt0(xm,xm) ) ),
inference(superposition,[status(thm)],[c_32577,c_67]) ).
tcf(c_32902,plain,
sdtpldt0(sz00,sdtasdt0(xn,sz00)) = sdtasdt0(xn,sz00),
inference(superposition,[status(thm)],[c_49,c_31625]) ).
tcf(c_32903,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(X0,X1))) = sdtasdt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_31625]) ).
tcf(c_32904,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(X0,X1))) = sdtasdt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_31625]) ).
tcf(c_32905,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(X1,X0))) = sdtasdt0(xn,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_31625]) ).
tcf(c_32906,plain,
sdtpldt0(sz00,sdtasdt0(xn,xl)) = sdtasdt0(xn,xl),
inference(superposition,[status(thm)],[c_101,c_31625]) ).
tcf(c_32907,plain,
sdtpldt0(sz00,sdtasdt0(xn,xm)) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_102,c_31625]) ).
tcf(c_32908,plain,
sdtpldt0(sz00,sdtasdt0(xn,xn)) = sdtasdt0(xn,xn),
inference(superposition,[status(thm)],[c_103,c_31625]) ).
tcf(c_32911,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xn))) = sdtasdt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_31625]) ).
tcf(c_32912,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xl))) = sdtasdt0(xn,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_31625]) ).
tcf(c_32913,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xm))) = sdtasdt0(xn,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_31625]) ).
tcf(c_32914,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xn))) = sdtasdt0(xn,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_31625]) ).
tcf(c_32915,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_31625]) ).
tcf(c_32916,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_31625]) ).
tcf(c_32917,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_31625]) ).
tcf(c_32918,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_31625]) ).
tcf(c_32919,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_31625]) ).
tcf(c_32920,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xm))) = sdtasdt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_31625]) ).
tcf(c_32921,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xl))) = sdtasdt0(xn,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_31625]) ).
tcf(c_32922,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xn))) = sdtasdt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_31625]) ).
tcf(c_32923,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_31625]) ).
tcf(c_32924,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xm))) = sdtasdt0(xn,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_31625]) ).
tcf(c_32925,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xn))) = sdtasdt0(xn,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_31625]) ).
tcf(c_32926,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xm))) = sdtasdt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_31625]) ).
tcf(c_32927,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xn))) = sdtasdt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_31625]) ).
tcf(c_32928,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl)))) = sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_31625]) ).
tcf(c_32929,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_31625]) ).
tcf(c_32930,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_31625]) ).
tcf(c_32931,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl)))) = sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_31625]) ).
tcf(c_32932,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_31625]) ).
tcf(c_32933,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_31625]) ).
tcf(c_32934,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl)))) = sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_31625]) ).
tcf(c_32935,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl)))) = sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_31625]) ).
tcf(c_32936,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl)))) = sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_31625]) ).
tcf(c_32937,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xn))) = sdtasdt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_31625]) ).
tcf(c_32938,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl)))) = sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_31625]) ).
tcf(c_32939,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl)))) = sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_31625]) ).
tcf(c_32940,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl)))) = sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_31625]) ).
tcf(c_32941,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_31625]) ).
tcf(c_32942,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_31625]) ).
tcf(c_32943,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xl))) = sdtasdt0(xn,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_31625]) ).
tcf(c_33029,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sz00))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,sz00) ) ),
inference(superposition,[status(thm)],[c_32902,c_66]) ).
tcf(c_33030,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sz00))
| ( sdtpldt0(X0,sdtasdt0(xn,sz00)) != sdtasdt0(xn,sz00) ) ),
inference(superposition,[status(thm)],[c_32902,c_67]) ).
tcf(c_33056,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13419,c_68]) ).
tcf(c_33063,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xm)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13420,c_68]) ).
tcf(c_33070,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xn)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13421,c_68]) ).
tcf(c_33076,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13422,c_68]) ).
tcf(c_33080,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_20817,c_72]) ).
tcf(c_33081,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_20817,c_53]) ).
tcf(c_33082,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtpldt0(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)) != sdtasdt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_20817,c_68]) ).
tcf(c_33083,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)) != sdtasdt0(X0,sdtpldt0(xl,xl)) ) ),
inference(superposition,[status(thm)],[c_20817,c_69]) ).
tcf(c_33084,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_20817,c_20761]) ).
tcf(c_33085,plain,
sdtasdt0(sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20817,c_20754]) ).
tcf(c_33109,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_20818,c_72]) ).
tcf(c_33110,plain,
( aNaturalNumber0(sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_20818,c_53]) ).
tcf(c_33111,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtpldt0(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)) != sdtasdt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_20818,c_68]) ).
tcf(c_33112,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)) != sdtasdt0(X0,sdtpldt0(xl,xl)) ) ),
inference(superposition,[status(thm)],[c_20818,c_69]) ).
tcf(c_33113,plain,
sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_20818,c_20762]) ).
tcf(c_33114,plain,
sdtasdt0(sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20818,c_20755]) ).
tcf(c_33119,plain,
( ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_20819,c_71]) ).
tcf(c_33120,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_20819,c_70]) ).
tcf(c_33121,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_20819,c_52]) ).
tcf(c_33122,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)) != sdtpldt0(sdtsldt0(xm,xl),X0) ) ),
inference(superposition,[status(thm)],[c_20819,c_66]) ).
tcf(c_33123,plain,
! [X0: $i] :
( ( sdtsldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)) != sdtpldt0(X0,sdtpldt0(xl,xl)) ) ),
inference(superposition,[status(thm)],[c_20819,c_67]) ).
tcf(c_33124,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_20819,c_20774]) ).
tcf(c_33125,plain,
sdtasdt0(sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20819,c_20767]) ).
tcf(c_33151,plain,
( ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_20820,c_71]) ).
tcf(c_33152,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_20820,c_70]) ).
tcf(c_33153,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_20820,c_52]) ).
tcf(c_33154,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)) != sdtpldt0(sdtsldt0(xn,xl),X0) ) ),
inference(superposition,[status(thm)],[c_20820,c_66]) ).
tcf(c_33155,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)) != sdtpldt0(X0,sdtpldt0(xl,xl)) ) ),
inference(superposition,[status(thm)],[c_20820,c_67]) ).
tcf(c_33156,plain,
sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_20820,c_20775]) ).
tcf(c_33157,plain,
sdtasdt0(sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_20820,c_20768]) ).
tcf(c_33189,plain,
aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(global_subsumption_just,[status(thm)],[c_2188,c_113,c_111,c_2188]) ).
tcf(c_33191,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_31625]) ).
tcf(c_33192,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_31624]) ).
tcf(c_33193,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_31627]) ).
tcf(c_33194,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_31626]) ).
tcf(c_33195,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_31623]) ).
tcf(c_33196,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_31619]) ).
tcf(c_33197,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_1941]) ).
tcf(c_33198,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtpldt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_29595]) ).
tcf(c_33199,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtpldt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_29594]) ).
tcf(c_33200,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtpldt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_29593]) ).
tcf(c_33201,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_29597]) ).
tcf(c_33202,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_29596]) ).
tcf(c_33203,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_29589]) ).
tcf(c_33204,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sz00) = sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_1928]) ).
tcf(c_33205,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtpldt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_27948]) ).
tcf(c_33206,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtpldt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_27947]) ).
tcf(c_33207,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_27950]) ).
tcf(c_33208,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_27949]) ).
tcf(c_33209,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtpldt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_27946]) ).
tcf(c_33210,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_27942]) ).
tcf(c_33211,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) = sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_1927]) ).
tcf(c_33212,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_20823]) ).
tcf(c_33213,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_20822]) ).
tcf(c_33214,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_8118]) ).
tcf(c_33215,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_8117]) ).
tcf(c_33216,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_7588]) ).
tcf(c_33217,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_7587]) ).
tcf(c_33218,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_7128]) ).
tcf(c_33219,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_7127]) ).
tcf(c_33220,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_6554]) ).
tcf(c_33221,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_6553]) ).
tcf(c_33222,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_6275]) ).
tcf(c_33223,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_6274]) ).
tcf(c_33224,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_6084]) ).
tcf(c_33225,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_6083]) ).
tcf(c_33226,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_5196]) ).
tcf(c_33227,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_5195]) ).
tcf(c_33228,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_4547]) ).
tcf(c_33229,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_4546]) ).
tcf(c_33230,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_4138]) ).
tcf(c_33231,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_4137]) ).
tcf(c_33232,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_3123]) ).
tcf(c_33233,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_3122]) ).
tcf(c_33234,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_2451]) ).
tcf(c_33235,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_2450]) ).
tcf(c_33236,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_2318]) ).
tcf(c_33237,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_2317]) ).
tcf(c_33238,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),xn) = sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_33189,c_2222]) ).
tcf(c_33239,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),xm) = sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_33189,c_2221]) ).
tcf(c_33240,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),xl) = sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_33189,c_22756]) ).
tcf(c_33241,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33189,c_12800]) ).
tcf(c_33242,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33189,c_12799]) ).
tcf(c_33243,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33189,c_12798]) ).
tcf(c_33244,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33189,c_12802]) ).
tcf(c_33245,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33189,c_12801]) ).
tcf(c_33246,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33189,c_12794]) ).
tcf(c_33247,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_1940]) ).
tcf(c_33248,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_11833]) ).
tcf(c_33249,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_11832]) ).
tcf(c_33250,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_11831]) ).
tcf(c_33251,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_11835]) ).
tcf(c_33252,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_11834]) ).
tcf(c_33253,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_11827]) ).
tcf(c_33254,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_1939]) ).
tcf(c_33255,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33189,c_10803]) ).
tcf(c_33256,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33189,c_10802]) ).
tcf(c_33257,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33189,c_10805]) ).
tcf(c_33258,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33189,c_10804]) ).
tcf(c_33259,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33189,c_10801]) ).
tcf(c_33260,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33189,c_10797]) ).
tcf(c_33261,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_1926]) ).
tcf(c_33262,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_9189]) ).
tcf(c_33263,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_9188]) ).
tcf(c_33264,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_9191]) ).
tcf(c_33265,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_9190]) ).
tcf(c_33266,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_9187]) ).
tcf(c_33267,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_9183]) ).
tcf(c_33268,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_1925]) ).
tcf(c_33269,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xn) = sdtasdt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_2009]) ).
tcf(c_33270,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xm) = sdtasdt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_2008]) ).
tcf(c_33271,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xl) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_2007]) ).
tcf(c_33272,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_2004]) ).
tcf(c_33273,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_33189,c_5044]) ).
tcf(c_33274,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_33189,c_5043]) ).
tcf(c_33275,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_33189,c_4926]) ).
tcf(c_33276,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_33189,c_4925]) ).
tcf(c_33277,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_33189,c_4833]) ).
tcf(c_33278,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_33189,c_4832]) ).
tcf(c_33279,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_33189,c_4774]) ).
tcf(c_33280,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_33189,c_4773]) ).
tcf(c_33281,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xn) = sdtpldt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_1972]) ).
tcf(c_33282,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xm) = sdtpldt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_1971]) ).
tcf(c_33283,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_3527]) ).
tcf(c_33284,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_3526]) ).
tcf(c_33285,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_3478]) ).
tcf(c_33286,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_3477]) ).
tcf(c_33287,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xl) = sdtpldt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_1970]) ).
tcf(c_33288,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_33189,c_2777]) ).
tcf(c_33289,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_33189,c_2776]) ).
tcf(c_33290,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtasdt0(X1,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_65]) ).
tcf(c_33291,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X1)) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_64]) ).
tcf(c_33292,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_33189,c_2727]) ).
tcf(c_33293,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_33189,c_2726]) ).
tcf(c_33294,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_33189,c_2654]) ).
tcf(c_33295,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_33189,c_2653]) ).
tcf(c_33296,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_33189,c_2626]) ).
tcf(c_33297,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_33189,c_2625]) ).
tcf(c_33298,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_2298]) ).
tcf(c_33299,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_2297]) ).
tcf(c_33300,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_2258]) ).
tcf(c_33301,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_2257]) ).
tcf(c_33302,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_33189,c_2224]) ).
tcf(c_33303,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_33189,c_2223]) ).
tcf(c_33304,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),X1) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_59]) ).
tcf(c_33305,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),X1) = sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_55]) ).
tcf(c_33306,plain,
! [X0: $i] :
( ( sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_161]) ).
tcf(c_33307,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_2011]) ).
tcf(c_33308,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_2010]) ).
tcf(c_33309,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_1974]) ).
tcf(c_33311,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_1967]) ).
tcf(c_33312,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) = sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_58]) ).
tcf(c_33313,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) = sdtpldt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_54]) ).
tcf(c_33570,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_33244,c_68]) ).
tcf(c_33576,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_33245,c_68]) ).
tcf(c_33607,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_33251,c_69]) ).
tcf(c_33624,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xl))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_32906,c_66]) ).
tcf(c_33625,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xl))
| ( sdtpldt0(X0,sdtasdt0(xn,xl)) != sdtasdt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_32906,c_67]) ).
tcf(c_33633,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_32907,c_66]) ).
tcf(c_33634,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_32907,c_67]) ).
tcf(c_33641,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtpldt0(sz00,X0) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_32908,c_66]) ).
tcf(c_33642,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtpldt0(X0,sdtasdt0(xn,xn)) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_32908,c_67]) ).
tcf(c_33644,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_1942]) ).
tcf(c_33645,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sz00) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_1942]) ).
tcf(c_33646,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sz00) = sdtasdt0(sdtasdt0(X0,X1),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_1942]) ).
tcf(c_33647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(X1,X0),X2),sz00) = sdtasdt0(sdtsldt0(X1,X0),X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_1942]) ).
tcf(c_33648,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,X0),sz00) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_1942]) ).
tcf(c_33649,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,X0),sz00) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_1942]) ).
tcf(c_33650,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,X0),sz00) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_1942]) ).
tcf(c_33651,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),X0),sz00) = sdtasdt0(sdtsldt0(xn,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_1942]) ).
tcf(c_33652,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),X0),sz00) = sdtasdt0(sdtsldt0(xm,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_1942]) ).
tcf(c_33653,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xn),X0),sz00) = sdtasdt0(sdtpldt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_1942]) ).
tcf(c_33654,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,xl),X0),sz00) = sdtasdt0(sdtpldt0(sz00,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_1942]) ).
tcf(c_33655,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,xm),X0),sz00) = sdtasdt0(sdtpldt0(sz00,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_1942]) ).
tcf(c_33656,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,xn),X0),sz00) = sdtasdt0(sdtpldt0(sz00,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_1942]) ).
tcf(c_33657,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0),sz00) = sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_1942]) ).
tcf(c_33658,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0),sz00) = sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_1942]) ).
tcf(c_33659,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sz00) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_1942]) ).
tcf(c_33660,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0),sz00) = sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_1942]) ).
tcf(c_33661,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0),sz00) = sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_1942]) ).
tcf(c_33662,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0),sz00) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_1942]) ).
tcf(c_33663,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00) = sdtasdt0(sdtpldt0(xl,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_1942]) ).
tcf(c_33664,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,xl),X0),sz00) = sdtasdt0(sdtasdt0(sz00,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_1942]) ).
tcf(c_33665,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00) = sdtasdt0(sdtpldt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_1942]) ).
tcf(c_33666,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0),sz00) = sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_1942]) ).
tcf(c_33667,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,xm),X0),sz00) = sdtasdt0(sdtasdt0(sz00,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_1942]) ).
tcf(c_33668,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,xn),X0),sz00) = sdtasdt0(sdtasdt0(sz00,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_1942]) ).
tcf(c_33669,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xm),X0),sz00) = sdtasdt0(sdtasdt0(xl,xm),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_1942]) ).
tcf(c_33670,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xn),X0),sz00) = sdtasdt0(sdtasdt0(xl,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_1942]) ).
tcf(c_33671,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0),sz00) = sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_1942]) ).
tcf(c_33672,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0),sz00) = sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_1942]) ).
tcf(c_33673,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0),sz00) = sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_1942]) ).
tcf(c_33674,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0),sz00) = sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_1942]) ).
tcf(c_33675,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0),sz00) = sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_1942]) ).
tcf(c_33676,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0),sz00) = sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_1942]) ).
tcf(c_33677,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0),sz00) = sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_1942]) ).
tcf(c_33678,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0),sz00) = sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_1942]) ).
tcf(c_33679,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0),sz00) = sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_1942]) ).
tcf(c_33680,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,xn),X0),sz00) = sdtasdt0(sdtasdt0(xm,xn),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_1942]) ).
tcf(c_33681,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0),sz00) = sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_1942]) ).
tcf(c_33682,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0),sz00) = sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_1942]) ).
tcf(c_33683,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0),sz00) = sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_1942]) ).
tcf(c_33684,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0),sz00) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_1942]) ).
tcf(c_33685,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0),sz00) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_1942]) ).
tcf(c_33686,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,xl),X0),sz00) = sdtasdt0(sdtpldt0(xl,xl),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_1942]) ).
tcf(c_33962,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xn)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13423,c_68]) ).
tcf(c_33968,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,xn)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13424,c_68]) ).
tcf(c_34007,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13542,c_68]) ).
tcf(c_34014,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xl)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13543,c_68]) ).
tcf(c_34019,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sz00),sz00) = sdtasdt0(sdtsldt0(xn,xl),sz00),
inference(superposition,[status(thm)],[c_49,c_33651]) ).
tcf(c_34020,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_33651]) ).
tcf(c_34021,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_33651]) ).
tcf(c_34022,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_33651]) ).
tcf(c_34023,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),xl),sz00) = sdtasdt0(sdtsldt0(xn,xl),xl),
inference(superposition,[status(thm)],[c_101,c_33651]) ).
tcf(c_34024,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),xm),sz00) = sdtasdt0(sdtsldt0(xn,xl),xm),
inference(superposition,[status(thm)],[c_102,c_33651]) ).
tcf(c_34025,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),xn),sz00) = sdtasdt0(sdtsldt0(xn,xl),xn),
inference(superposition,[status(thm)],[c_103,c_33651]) ).
tcf(c_34026,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_111,c_33651]) ).
tcf(c_34027,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_113,c_33651]) ).
tcf(c_34028,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_33651]) ).
tcf(c_34029,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_33651]) ).
tcf(c_34030,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_33651]) ).
tcf(c_34031,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_33651]) ).
tcf(c_34032,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_33651]) ).
tcf(c_34033,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_33651]) ).
tcf(c_34034,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_33651]) ).
tcf(c_34035,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_33651]) ).
tcf(c_34036,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_33651]) ).
tcf(c_34037,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_33651]) ).
tcf(c_34038,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_33651]) ).
tcf(c_34039,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_33651]) ).
tcf(c_34040,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_33651]) ).
tcf(c_34041,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_33651]) ).
tcf(c_34042,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_33651]) ).
tcf(c_34043,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_33651]) ).
tcf(c_34044,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_33651]) ).
tcf(c_34045,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_33651]) ).
tcf(c_34046,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_33651]) ).
tcf(c_34047,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_33651]) ).
tcf(c_34048,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_33651]) ).
tcf(c_34049,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_33651]) ).
tcf(c_34050,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_33651]) ).
tcf(c_34051,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_33651]) ).
tcf(c_34052,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_33651]) ).
tcf(c_34053,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_33651]) ).
tcf(c_34054,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_33651]) ).
tcf(c_34055,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_33651]) ).
tcf(c_34056,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_33651]) ).
tcf(c_34057,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_33651]) ).
tcf(c_34058,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_33651]) ).
tcf(c_34059,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_33651]) ).
tcf(c_34060,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_33651]) ).
tcf(c_34061,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_33651]) ).
tcf(c_34170,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sz00),sz00) = sdtasdt0(sdtsldt0(xm,xl),sz00),
inference(superposition,[status(thm)],[c_49,c_33652]) ).
tcf(c_34171,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_33652]) ).
tcf(c_34172,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_33652]) ).
tcf(c_34173,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_33652]) ).
tcf(c_34174,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),xl),sz00) = sdtasdt0(sdtsldt0(xm,xl),xl),
inference(superposition,[status(thm)],[c_101,c_33652]) ).
tcf(c_34175,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),xm),sz00) = sdtasdt0(sdtsldt0(xm,xl),xm),
inference(superposition,[status(thm)],[c_102,c_33652]) ).
tcf(c_34176,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),xn),sz00) = sdtasdt0(sdtsldt0(xm,xl),xn),
inference(superposition,[status(thm)],[c_103,c_33652]) ).
tcf(c_34177,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_111,c_33652]) ).
tcf(c_34178,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_113,c_33652]) ).
tcf(c_34179,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_33652]) ).
tcf(c_34180,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_33652]) ).
tcf(c_34181,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_33652]) ).
tcf(c_34182,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_33652]) ).
tcf(c_34183,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_33652]) ).
tcf(c_34184,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_33652]) ).
tcf(c_34185,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_33652]) ).
tcf(c_34186,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_33652]) ).
tcf(c_34187,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_33652]) ).
tcf(c_34188,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_33652]) ).
tcf(c_34189,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_33652]) ).
tcf(c_34190,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_33652]) ).
tcf(c_34191,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_33652]) ).
tcf(c_34192,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_33652]) ).
tcf(c_34193,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_33652]) ).
tcf(c_34194,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_33652]) ).
tcf(c_34195,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_33652]) ).
tcf(c_34196,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_33652]) ).
tcf(c_34197,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_33652]) ).
tcf(c_34198,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_33652]) ).
tcf(c_34199,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_33652]) ).
tcf(c_34200,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_33652]) ).
tcf(c_34201,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_33652]) ).
tcf(c_34202,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_33652]) ).
tcf(c_34203,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_33652]) ).
tcf(c_34204,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_33652]) ).
tcf(c_34205,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_33652]) ).
tcf(c_34206,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_33652]) ).
tcf(c_34207,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_33652]) ).
tcf(c_34208,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_33652]) ).
tcf(c_34209,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_33652]) ).
tcf(c_34210,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_33652]) ).
tcf(c_34211,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_33652]) ).
tcf(c_34212,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_33652]) ).
tcf(c_34288,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),X0) != sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_34026,c_66]) ).
tcf(c_34289,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34026,c_67]) ).
tcf(c_34302,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),X0) != sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_34027,c_66]) ).
tcf(c_34303,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34027,c_67]) ).
tcf(c_34309,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) != sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_34177,c_66]) ).
tcf(c_34310,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34177,c_67]) ).
tcf(c_34359,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),X0) != sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_34178,c_66]) ).
tcf(c_34360,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))
| ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34178,c_67]) ).
tcf(c_34368,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sz00))
| ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sz00),X0) != sdtasdt0(sdtsldt0(xn,xl),sz00) ) ),
inference(superposition,[status(thm)],[c_34019,c_66]) ).
tcf(c_34369,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sz00))
| ( sdtasdt0(sdtsldt0(xn,xl),sz00) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34019,c_67]) ).
tcf(c_34376,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xl))
| ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),xl),X0) != sdtasdt0(sdtsldt0(xn,xl),xl) ) ),
inference(superposition,[status(thm)],[c_34023,c_66]) ).
tcf(c_34377,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xl))
| ( sdtasdt0(sdtsldt0(xn,xl),xl) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34023,c_67]) ).
tcf(c_34378,plain,
sdtpldt0(sdtasdt0(sz00,sz00),sz00) = sdtasdt0(sz00,sz00),
inference(superposition,[status(thm)],[c_49,c_33644]) ).
tcf(c_34379,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(X0,X1)),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_33644]) ).
tcf(c_34380,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtasdt0(X0,X1)),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_33644]) ).
tcf(c_34381,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(sz00,sdtsldt0(X1,X0)),sz00) = sdtasdt0(sz00,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_33644]) ).
tcf(c_34387,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_33644]) ).
tcf(c_34388,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_33644]) ).
tcf(c_34389,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_33644]) ).
tcf(c_34390,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_33644]) ).
tcf(c_34391,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_33644]) ).
tcf(c_34392,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_33644]) ).
tcf(c_34393,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_33644]) ).
tcf(c_34394,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_33644]) ).
tcf(c_34395,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_33644]) ).
tcf(c_34396,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_33644]) ).
tcf(c_34397,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_33644]) ).
tcf(c_34398,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_33644]) ).
tcf(c_34399,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_33644]) ).
tcf(c_34400,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_33644]) ).
tcf(c_34401,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_33644]) ).
tcf(c_34402,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_33644]) ).
tcf(c_34403,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_33644]) ).
tcf(c_34404,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_33644]) ).
tcf(c_34405,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_33644]) ).
tcf(c_34406,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_33644]) ).
tcf(c_34407,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_33644]) ).
tcf(c_34408,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_33644]) ).
tcf(c_34409,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_33644]) ).
tcf(c_34410,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_33644]) ).
tcf(c_34411,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_33644]) ).
tcf(c_34412,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_33644]) ).
tcf(c_34413,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_33644]) ).
tcf(c_34414,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_33644]) ).
tcf(c_34415,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_33644]) ).
tcf(c_34416,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_33644]) ).
tcf(c_34417,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_33644]) ).
tcf(c_34418,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_33644]) ).
tcf(c_34419,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_33644]) ).
tcf(c_34420,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_33644]) ).
tcf(c_34498,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(sdtasdt0(sz00,sz00),X0) != sdtasdt0(sz00,sz00) ) ),
inference(superposition,[status(thm)],[c_34378,c_66]) ).
tcf(c_34499,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(X0,sz00) != sdtasdt0(sz00,sz00) ) ),
inference(superposition,[status(thm)],[c_34378,c_67]) ).
tcf(c_34500,plain,
sdtpldt0(sdtasdt0(xl,sz00),sz00) = sdtasdt0(xl,sz00),
inference(superposition,[status(thm)],[c_49,c_33648]) ).
tcf(c_34501,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(X0,X1)),sz00) = sdtasdt0(xl,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_33648]) ).
tcf(c_34502,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtasdt0(X0,X1)),sz00) = sdtasdt0(xl,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_33648]) ).
tcf(c_34503,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(xl,sdtsldt0(X1,X0)),sz00) = sdtasdt0(xl,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_33648]) ).
tcf(c_34504,plain,
sdtpldt0(sdtasdt0(xl,xl),sz00) = sdtasdt0(xl,xl),
inference(superposition,[status(thm)],[c_101,c_33648]) ).
tcf(c_34509,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_33648]) ).
tcf(c_34510,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(xl,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_33648]) ).
tcf(c_34511,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(xl,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_33648]) ).
tcf(c_34512,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(xl,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_33648]) ).
tcf(c_34513,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_33648]) ).
tcf(c_34514,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_33648]) ).
tcf(c_34515,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_33648]) ).
tcf(c_34516,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_33648]) ).
tcf(c_34517,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_33648]) ).
tcf(c_34518,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_33648]) ).
tcf(c_34519,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_33648]) ).
tcf(c_34520,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(xl,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_33648]) ).
tcf(c_34521,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_33648]) ).
tcf(c_34522,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_33648]) ).
tcf(c_34523,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(xl,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_33648]) ).
tcf(c_34524,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(xl,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_33648]) ).
tcf(c_34525,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_33648]) ).
tcf(c_34526,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),sz00) = sdtasdt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_33648]) ).
tcf(c_34527,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_33648]) ).
tcf(c_34528,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_33648]) ).
tcf(c_34529,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_33648]) ).
tcf(c_34530,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_33648]) ).
tcf(c_34531,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_33648]) ).
tcf(c_34532,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_33648]) ).
tcf(c_34533,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_33648]) ).
tcf(c_34534,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_33648]) ).
tcf(c_34535,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_33648]) ).
tcf(c_34536,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),sz00) = sdtasdt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_33648]) ).
tcf(c_34537,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_33648]) ).
tcf(c_34538,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_33648]) ).
tcf(c_34539,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_33648]) ).
tcf(c_34540,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_33648]) ).
tcf(c_34541,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_33648]) ).
tcf(c_34542,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xl)),sz00) = sdtasdt0(xl,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_33648]) ).
tcf(c_34754,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sz00))
| ( sdtpldt0(sdtasdt0(xl,sz00),X0) != sdtasdt0(xl,sz00) ) ),
inference(superposition,[status(thm)],[c_34500,c_66]) ).
tcf(c_34755,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sz00))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,sz00) ) ),
inference(superposition,[status(thm)],[c_34500,c_67]) ).
tcf(c_34761,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xm)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13544,c_68]) ).
tcf(c_34768,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xn)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13545,c_68]) ).
tcf(c_34774,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13548,c_68]) ).
tcf(c_34781,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xl)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13549,c_68]) ).
tcf(c_34789,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xm))
| ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),xm),X0) != sdtasdt0(sdtsldt0(xn,xl),xm) ) ),
inference(superposition,[status(thm)],[c_34024,c_66]) ).
tcf(c_34790,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xm))
| ( sdtasdt0(sdtsldt0(xn,xl),xm) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34024,c_67]) ).
tcf(c_34797,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xn))
| ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),xn),X0) != sdtasdt0(sdtsldt0(xn,xl),xn) ) ),
inference(superposition,[status(thm)],[c_34025,c_66]) ).
tcf(c_34798,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xn,xl),xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),xn))
| ( sdtasdt0(sdtsldt0(xn,xl),xn) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34025,c_67]) ).
tcf(c_34806,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sz00))
| ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sz00),X0) != sdtasdt0(sdtsldt0(xm,xl),sz00) ) ),
inference(superposition,[status(thm)],[c_34170,c_66]) ).
tcf(c_34807,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sz00))
| ( sdtasdt0(sdtsldt0(xm,xl),sz00) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34170,c_67]) ).
tcf(c_34814,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xl))
| ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),xl),X0) != sdtasdt0(sdtsldt0(xm,xl),xl) ) ),
inference(superposition,[status(thm)],[c_34174,c_66]) ).
tcf(c_34815,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xl))
| ( sdtasdt0(sdtsldt0(xm,xl),xl) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34174,c_67]) ).
tcf(c_34822,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xm))
| ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),xm),X0) != sdtasdt0(sdtsldt0(xm,xl),xm) ) ),
inference(superposition,[status(thm)],[c_34175,c_66]) ).
tcf(c_34823,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xm))
| ( sdtasdt0(sdtsldt0(xm,xl),xm) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34175,c_67]) ).
tcf(c_34830,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xn))
| ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),xn),X0) != sdtasdt0(sdtsldt0(xm,xl),xn) ) ),
inference(superposition,[status(thm)],[c_34176,c_66]) ).
tcf(c_34831,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),xn))
| ( sdtasdt0(sdtsldt0(xm,xl),xn) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34176,c_67]) ).
tcf(c_34866,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_33252,c_69]) ).
tcf(c_34871,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_33257,c_68]) ).
tcf(c_34878,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xl))
| ( sdtpldt0(sdtasdt0(xl,xl),X0) != sdtasdt0(xl,xl) ) ),
inference(superposition,[status(thm)],[c_34504,c_66]) ).
tcf(c_34879,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xl))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xl,xl) ) ),
inference(superposition,[status(thm)],[c_34504,c_67]) ).
tcf(c_34880,plain,
sdtpldt0(sdtasdt0(xm,sz00),sz00) = sdtasdt0(xm,sz00),
inference(superposition,[status(thm)],[c_49,c_33649]) ).
tcf(c_34881,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(X0,X1)),sz00) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_33649]) ).
tcf(c_34882,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(X0,X1)),sz00) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_33649]) ).
tcf(c_34883,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(xm,sdtsldt0(X1,X0)),sz00) = sdtasdt0(xm,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_33649]) ).
tcf(c_34884,plain,
sdtpldt0(sdtasdt0(xm,xl),sz00) = sdtasdt0(xm,xl),
inference(superposition,[status(thm)],[c_101,c_33649]) ).
tcf(c_34885,plain,
sdtpldt0(sdtasdt0(xm,xm),sz00) = sdtasdt0(xm,xm),
inference(superposition,[status(thm)],[c_102,c_33649]) ).
tcf(c_34889,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xn)),sz00) = sdtasdt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_33649]) ).
tcf(c_34890,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(xm,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_33649]) ).
tcf(c_34891,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(xm,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_33649]) ).
tcf(c_34892,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(xm,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_33649]) ).
tcf(c_34893,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_33649]) ).
tcf(c_34894,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_33649]) ).
tcf(c_34895,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtasdt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_33649]) ).
tcf(c_34896,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_33649]) ).
tcf(c_34897,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_33649]) ).
tcf(c_34898,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_33649]) ).
tcf(c_34899,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xm)),sz00) = sdtasdt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_33649]) ).
tcf(c_34900,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(xm,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_33649]) ).
tcf(c_34901,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xn)),sz00) = sdtasdt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_33649]) ).
tcf(c_34902,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_33649]) ).
tcf(c_34903,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(xm,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_33649]) ).
tcf(c_34904,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(xm,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_33649]) ).
tcf(c_34905,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xm)),sz00) = sdtasdt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_33649]) ).
tcf(c_34906,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xn)),sz00) = sdtasdt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_33649]) ).
tcf(c_34907,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_33649]) ).
tcf(c_34908,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_33649]) ).
tcf(c_34909,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_33649]) ).
tcf(c_34910,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_33649]) ).
tcf(c_34911,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_33649]) ).
tcf(c_34912,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_33649]) ).
tcf(c_34913,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_33649]) ).
tcf(c_34914,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_33649]) ).
tcf(c_34915,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_33649]) ).
tcf(c_34916,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,xn)),sz00) = sdtasdt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_33649]) ).
tcf(c_34917,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_33649]) ).
tcf(c_34918,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_33649]) ).
tcf(c_34919,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_33649]) ).
tcf(c_34920,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_33649]) ).
tcf(c_34921,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_33649]) ).
tcf(c_34922,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xl)),sz00) = sdtasdt0(xm,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_33649]) ).
tcf(c_35044,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sz00))
| ( sdtpldt0(sdtasdt0(xm,sz00),X0) != sdtasdt0(xm,sz00) ) ),
inference(superposition,[status(thm)],[c_34880,c_66]) ).
tcf(c_35045,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sz00))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,sz00) ) ),
inference(superposition,[status(thm)],[c_34880,c_67]) ).
tcf(c_35052,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xl))
| ( sdtpldt0(sdtasdt0(xm,xl),X0) != sdtasdt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_34884,c_66]) ).
tcf(c_35053,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xl))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xl) ) ),
inference(superposition,[status(thm)],[c_34884,c_67]) ).
tcf(c_35058,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13550,c_68]) ).
tcf(c_35065,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xm)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13551,c_68]) ).
tcf(c_35072,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xn)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13552,c_68]) ).
tcf(c_35078,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13553,c_68]) ).
tcf(c_35084,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_33258,c_68]) ).
tcf(c_35091,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_33264,c_69]) ).
tcf(c_35097,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_33265,c_69]) ).
tcf(c_35098,plain,
aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(global_subsumption_just,[status(thm)],[c_2189,c_113,c_111,c_2189]) ).
tcf(c_35100,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtasdt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_33649]) ).
tcf(c_35101,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_33648]) ).
tcf(c_35102,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_33644]) ).
tcf(c_35103,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_33652]) ).
tcf(c_35104,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_33651]) ).
tcf(c_35105,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sz00) = sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_1942]) ).
tcf(c_35106,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_31625]) ).
tcf(c_35107,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_31624]) ).
tcf(c_35108,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_31627]) ).
tcf(c_35109,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_31626]) ).
tcf(c_35110,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_31623]) ).
tcf(c_35111,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_31619]) ).
tcf(c_35112,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) = sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_1941]) ).
tcf(c_35113,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtpldt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_29595]) ).
tcf(c_35114,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtpldt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_29594]) ).
tcf(c_35115,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtpldt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_29593]) ).
tcf(c_35116,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_29597]) ).
tcf(c_35117,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_29596]) ).
tcf(c_35118,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_29589]) ).
tcf(c_35119,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sz00) = sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_1928]) ).
tcf(c_35120,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtpldt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_27948]) ).
tcf(c_35121,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtpldt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_27947]) ).
tcf(c_35122,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_27950]) ).
tcf(c_35123,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_27949]) ).
tcf(c_35124,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtpldt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_27946]) ).
tcf(c_35125,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_27942]) ).
tcf(c_35126,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) = sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_1927]) ).
tcf(c_35127,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_20823]) ).
tcf(c_35128,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_20822]) ).
tcf(c_35129,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_8118]) ).
tcf(c_35130,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_8117]) ).
tcf(c_35131,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_7588]) ).
tcf(c_35132,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_7587]) ).
tcf(c_35133,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_7128]) ).
tcf(c_35134,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_7127]) ).
tcf(c_35135,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_6554]) ).
tcf(c_35136,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_6553]) ).
tcf(c_35137,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_6275]) ).
tcf(c_35138,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_6274]) ).
tcf(c_35139,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_6084]) ).
tcf(c_35140,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_6083]) ).
tcf(c_35141,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_5196]) ).
tcf(c_35142,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_5195]) ).
tcf(c_35143,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_4547]) ).
tcf(c_35144,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_4546]) ).
tcf(c_35145,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_4138]) ).
tcf(c_35146,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_4137]) ).
tcf(c_35147,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_3123]) ).
tcf(c_35148,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_3122]) ).
tcf(c_35149,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_2451]) ).
tcf(c_35150,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_2450]) ).
tcf(c_35151,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_2318]) ).
tcf(c_35152,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_2317]) ).
tcf(c_35153,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),xn) = sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_35098,c_2222]) ).
tcf(c_35154,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),xm) = sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_35098,c_2221]) ).
tcf(c_35155,plain,
sdtsldt0(sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),xl) = sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_35098,c_22756]) ).
tcf(c_35156,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35098,c_12800]) ).
tcf(c_35157,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35098,c_12799]) ).
tcf(c_35158,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35098,c_12798]) ).
tcf(c_35159,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35098,c_12802]) ).
tcf(c_35160,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35098,c_12801]) ).
tcf(c_35161,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35098,c_12794]) ).
tcf(c_35162,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_1940]) ).
tcf(c_35163,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_11833]) ).
tcf(c_35164,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_11832]) ).
tcf(c_35165,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_11831]) ).
tcf(c_35166,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_11835]) ).
tcf(c_35167,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_11834]) ).
tcf(c_35168,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_11827]) ).
tcf(c_35169,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_1939]) ).
tcf(c_35170,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35098,c_10803]) ).
tcf(c_35171,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35098,c_10802]) ).
tcf(c_35172,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35098,c_10805]) ).
tcf(c_35173,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35098,c_10804]) ).
tcf(c_35174,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35098,c_10801]) ).
tcf(c_35175,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35098,c_10797]) ).
tcf(c_35176,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_1926]) ).
tcf(c_35177,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_9189]) ).
tcf(c_35178,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_9188]) ).
tcf(c_35179,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_9191]) ).
tcf(c_35180,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_9190]) ).
tcf(c_35181,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_9187]) ).
tcf(c_35182,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_9183]) ).
tcf(c_35183,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_1925]) ).
tcf(c_35184,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xn) = sdtasdt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_2009]) ).
tcf(c_35185,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xm) = sdtasdt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_2008]) ).
tcf(c_35186,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xl) = sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_2007]) ).
tcf(c_35187,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_2004]) ).
tcf(c_35188,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_35098,c_5044]) ).
tcf(c_35189,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_35098,c_5043]) ).
tcf(c_35190,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_35098,c_4926]) ).
tcf(c_35191,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_35098,c_4925]) ).
tcf(c_35192,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_35098,c_4833]) ).
tcf(c_35193,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_35098,c_4832]) ).
tcf(c_35194,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_35098,c_4774]) ).
tcf(c_35195,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_35098,c_4773]) ).
tcf(c_35196,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xn) = sdtpldt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_1972]) ).
tcf(c_35197,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xm) = sdtpldt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_1971]) ).
tcf(c_35198,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_3527]) ).
tcf(c_35199,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_3526]) ).
tcf(c_35200,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_3478]) ).
tcf(c_35201,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_3477]) ).
tcf(c_35202,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),xl) = sdtpldt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_1970]) ).
tcf(c_35203,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_35098,c_2777]) ).
tcf(c_35204,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_35098,c_2776]) ).
tcf(c_35205,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtasdt0(X1,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_65]) ).
tcf(c_35206,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X1)) = sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_64]) ).
tcf(c_35207,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_35098,c_2727]) ).
tcf(c_35208,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_35098,c_2726]) ).
tcf(c_35209,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_35098,c_2654]) ).
tcf(c_35210,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_35098,c_2653]) ).
tcf(c_35211,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_35098,c_2626]) ).
tcf(c_35212,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
inference(superposition,[status(thm)],[c_35098,c_2625]) ).
tcf(c_35213,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_2298]) ).
tcf(c_35214,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_2297]) ).
tcf(c_35215,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_2258]) ).
tcf(c_35216,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_2257]) ).
tcf(c_35217,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_35098,c_2224]) ).
tcf(c_35218,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_35098,c_2223]) ).
tcf(c_35219,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),X1) = sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_59]) ).
tcf(c_35220,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),X1) = sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_55]) ).
tcf(c_35221,plain,
! [X0: $i] :
( ( sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_161]) ).
tcf(c_35222,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_2011]) ).
tcf(c_35224,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_1974]) ).
tcf(c_35225,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_1973]) ).
tcf(c_35226,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_1967]) ).
tcf(c_35227,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) = sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_58]) ).
tcf(c_35228,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0) = sdtpldt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_54]) ).
tcf(c_35780,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_35159,c_68]) ).
tcf(c_35786,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_35160,c_68]) ).
tcf(c_35793,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_35166,c_69]) ).
tcf(c_35799,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_35167,c_69]) ).
tcf(c_35805,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ( sdtpldt0(sdtasdt0(xm,xm),X0) != sdtasdt0(xm,xm) ) ),
inference(superposition,[status(thm)],[c_34885,c_66]) ).
tcf(c_35806,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xm,xm) ) ),
inference(superposition,[status(thm)],[c_34885,c_67]) ).
tcf(c_35807,plain,
sdtpldt0(sdtasdt0(xn,sz00),sz00) = sdtasdt0(xn,sz00),
inference(superposition,[status(thm)],[c_49,c_33650]) ).
tcf(c_35808,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtpldt0(X0,X1)),sz00) = sdtasdt0(xn,sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_33650]) ).
tcf(c_35809,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtasdt0(X0,X1)),sz00) = sdtasdt0(xn,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_33650]) ).
tcf(c_35810,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtasdt0(xn,sdtsldt0(X1,X0)),sz00) = sdtasdt0(xn,sdtsldt0(X1,X0)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_33650]) ).
tcf(c_35811,plain,
sdtpldt0(sdtasdt0(xn,xl),sz00) = sdtasdt0(xn,xl),
inference(superposition,[status(thm)],[c_101,c_33650]) ).
tcf(c_35812,plain,
sdtpldt0(sdtasdt0(xn,xm),sz00) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_102,c_33650]) ).
tcf(c_35813,plain,
sdtpldt0(sdtasdt0(xn,xn),sz00) = sdtasdt0(xn,xn),
inference(superposition,[status(thm)],[c_103,c_33650]) ).
tcf(c_35816,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xn)),sz00) = sdtasdt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_5163,c_33650]) ).
tcf(c_35817,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(xn,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_2306,c_33650]) ).
tcf(c_35818,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(xn,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_2439,c_33650]) ).
tcf(c_35819,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(xn,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3105,c_33650]) ).
tcf(c_35820,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_8380,c_33650]) ).
tcf(c_35821,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_8616,c_33650]) ).
tcf(c_35822,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtasdt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_33189,c_33650]) ).
tcf(c_35823,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),sz00) = sdtasdt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_35098,c_33650]) ).
tcf(c_35824,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16296,c_33650]) ).
tcf(c_35825,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17746,c_33650]) ).
tcf(c_35826,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_19156,c_33650]) ).
tcf(c_35827,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xm)),sz00) = sdtasdt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_4110,c_33650]) ).
tcf(c_35828,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(xn,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_6040,c_33650]) ).
tcf(c_35829,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xn)),sz00) = sdtasdt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_4519,c_33650]) ).
tcf(c_35830,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_20481,c_33650]) ).
tcf(c_35831,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(xn,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_6231,c_33650]) ).
tcf(c_35832,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(xn,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_6510,c_33650]) ).
tcf(c_35833,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xm)),sz00) = sdtasdt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_7084,c_33650]) ).
tcf(c_35834,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xn)),sz00) = sdtasdt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_7544,c_33650]) ).
tcf(c_35835,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_13928,c_33650]) ).
tcf(c_35836,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14276,c_33650]) ).
tcf(c_35837,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_14564,c_33650]) ).
tcf(c_35838,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_14885,c_33650]) ).
tcf(c_35839,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15266,c_33650]) ).
tcf(c_35840,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_15559,c_33650]) ).
tcf(c_35841,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16010,c_33650]) ).
tcf(c_35842,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_16830,c_33650]) ).
tcf(c_35843,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl))),sz00) = sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl))),
inference(superposition,[status(thm)],[c_17114,c_33650]) ).
tcf(c_35844,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,xn)),sz00) = sdtasdt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_8073,c_33650]) ).
tcf(c_35845,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_17430,c_33650]) ).
tcf(c_35846,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18329,c_33650]) ).
tcf(c_35847,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl))),sz00) = sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(superposition,[status(thm)],[c_18641,c_33650]) ).
tcf(c_35848,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19768,c_33650]) ).
tcf(c_35849,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20207,c_33650]) ).
tcf(c_35850,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xl)),sz00) = sdtasdt0(xn,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_20483,c_33650]) ).
tcf(c_35955,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sz00))
| ( sdtpldt0(sdtasdt0(xn,sz00),X0) != sdtasdt0(xn,sz00) ) ),
inference(superposition,[status(thm)],[c_35807,c_66]) ).
tcf(c_35956,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sz00))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,sz00) ) ),
inference(superposition,[status(thm)],[c_35807,c_67]) ).
tcf(c_35963,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xl))
| ( sdtpldt0(sdtasdt0(xn,xl),X0) != sdtasdt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_35811,c_66]) ).
tcf(c_35964,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xl))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xl) ) ),
inference(superposition,[status(thm)],[c_35811,c_67]) ).
tcf(c_36033,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xn)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13554,c_68]) ).
tcf(c_36039,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,xn)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13555,c_68]) ).
tcf(c_36070,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xn)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13712,c_68]) ).
tcf(c_36109,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xl)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13713,c_68]) ).
tcf(c_36115,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_35172,c_68]) ).
tcf(c_36121,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_35173,c_68]) ).
tcf(c_36152,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_35179,c_69]) ).
tcf(c_36158,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_35180,c_69]) ).
tcf(c_36159,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = sz00 ) ),
inference(superposition,[status(thm)],[c_2150,c_2498]) ).
tcf(c_36160,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sz00,sdtsldt0(xn,xl)) = sz00 ) ),
inference(superposition,[status(thm)],[c_1907,c_2498]) ).
tcf(c_36163,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = xl ) ),
inference(superposition,[status(thm)],[c_2153,c_2502]) ).
tcf(c_36165,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),sdtsldt0(xn,xl)) = xm ) ),
inference(superposition,[status(thm)],[c_2154,c_2503]) ).
tcf(c_36173,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_35812,c_66]) ).
tcf(c_36174,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_35812,c_67]) ).
tcf(c_36180,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtpldt0(sdtasdt0(xn,xn),X0) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_35813,c_66]) ).
tcf(c_36181,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ( sdtpldt0(X0,sz00) != sdtasdt0(xn,xn) ) ),
inference(superposition,[status(thm)],[c_35813,c_67]) ).
tcf(c_36182,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_9445]) ).
tcf(c_36183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(X0,X1),X2))) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_9445]) ).
tcf(c_36184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(X0,X1),X2))) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_9445]) ).
tcf(c_36185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(X1,X0),X2))) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_9445]) ).
tcf(c_36186,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_9445]) ).
tcf(c_36187,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_9445]) ).
tcf(c_36188,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_9445]) ).
tcf(c_36189,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_9445]) ).
tcf(c_36190,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_9445]) ).
tcf(c_36191,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xm,xn),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_9445]) ).
tcf(c_36192,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,xl),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_9445]) ).
tcf(c_36193,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,xm),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_9445]) ).
tcf(c_36194,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,xn),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_9445]) ).
tcf(c_36195,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_9445]) ).
tcf(c_36196,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_9445]) ).
tcf(c_36197,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_9445]) ).
tcf(c_36198,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_9445]) ).
tcf(c_36199,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_9445]) ).
tcf(c_36200,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_9445]) ).
tcf(c_36201,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_9445]) ).
tcf(c_36202,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xm),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_9445]) ).
tcf(c_36203,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,xl),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_9445]) ).
tcf(c_36204,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xn),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_9445]) ).
tcf(c_36205,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_9445]) ).
tcf(c_36206,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,xm),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_9445]) ).
tcf(c_36207,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,xn),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_9445]) ).
tcf(c_36208,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,xm),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_9445]) ).
tcf(c_36209,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,xn),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_9445]) ).
tcf(c_36210,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_9445]) ).
tcf(c_36211,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_9445]) ).
tcf(c_36212,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_9445]) ).
tcf(c_36213,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_9445]) ).
tcf(c_36214,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_9445]) ).
tcf(c_36215,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_9445]) ).
tcf(c_36216,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_9445]) ).
tcf(c_36217,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_9445]) ).
tcf(c_36218,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_9445]) ).
tcf(c_36219,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,xn),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_9445]) ).
tcf(c_36220,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_9445]) ).
tcf(c_36221,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_9445]) ).
tcf(c_36222,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_9445]) ).
tcf(c_36223,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_9445]) ).
tcf(c_36224,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_9445]) ).
tcf(c_36225,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xl),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_9445]) ).
tcf(c_36401,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_49,c_36182]) ).
tcf(c_36402,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_36182]) ).
tcf(c_36403,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_36182]) ).
tcf(c_36404,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(X1,X0)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_36182]) ).
tcf(c_36410,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_36182]) ).
tcf(c_36414,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_36182]) ).
tcf(c_36415,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_36182]) ).
tcf(c_36416,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_36182]) ).
tcf(c_36417,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_36182]) ).
tcf(c_36418,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_36182]) ).
tcf(c_36419,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_36182]) ).
tcf(c_36420,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_36182]) ).
tcf(c_36421,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_36182]) ).
tcf(c_36422,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_36182]) ).
tcf(c_36423,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_36182]) ).
tcf(c_36424,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_36182]) ).
tcf(c_36425,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_36182]) ).
tcf(c_36426,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_36182]) ).
tcf(c_36427,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_36182]) ).
tcf(c_36428,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_36182]) ).
tcf(c_36429,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_36182]) ).
tcf(c_36430,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_36182]) ).
tcf(c_36431,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_36182]) ).
tcf(c_36432,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_36182]) ).
tcf(c_36433,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_36182]) ).
tcf(c_36434,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_36182]) ).
tcf(c_36435,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_36182]) ).
tcf(c_36436,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_36182]) ).
tcf(c_36437,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_36182]) ).
tcf(c_36438,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_36182]) ).
tcf(c_36439,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_36182]) ).
tcf(c_36440,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_36182]) ).
tcf(c_36441,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_36182]) ).
tcf(c_36442,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_36182]) ).
tcf(c_36443,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_36182]) ).
tcf(c_36444,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_36182]) ).
tcf(c_36752,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xm)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13714,c_68]) ).
tcf(c_36759,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xn)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13715,c_68]) ).
tcf(c_36765,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xm)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13718,c_68]) ).
tcf(c_36772,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xl)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13719,c_68]) ).
tcf(c_36774,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sz00))) = sz00,
inference(superposition,[status(thm)],[c_49,c_36189]) ).
tcf(c_36775,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_36189]) ).
tcf(c_36776,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_36189]) ).
tcf(c_36777,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_36189]) ).
tcf(c_36778,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xl))) = sz00,
inference(superposition,[status(thm)],[c_101,c_36189]) ).
tcf(c_36779,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xm))) = sz00,
inference(superposition,[status(thm)],[c_102,c_36189]) ).
tcf(c_36780,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xn))) = sz00,
inference(superposition,[status(thm)],[c_103,c_36189]) ).
tcf(c_36781,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_111,c_36189]) ).
tcf(c_36782,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_113,c_36189]) ).
tcf(c_36783,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_36189]) ).
tcf(c_36784,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_36189]) ).
tcf(c_36785,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_36189]) ).
tcf(c_36786,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_36189]) ).
tcf(c_36787,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_36189]) ).
tcf(c_36788,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_36189]) ).
tcf(c_36789,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_36189]) ).
tcf(c_36790,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_36189]) ).
tcf(c_36791,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_36189]) ).
tcf(c_36792,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_36189]) ).
tcf(c_36793,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_36189]) ).
tcf(c_36794,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_36189]) ).
tcf(c_36795,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_36189]) ).
tcf(c_36796,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_36189]) ).
tcf(c_36797,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_36189]) ).
tcf(c_36798,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_36189]) ).
tcf(c_36799,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_36189]) ).
tcf(c_36800,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_36189]) ).
tcf(c_36801,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_36189]) ).
tcf(c_36802,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_36189]) ).
tcf(c_36803,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_36189]) ).
tcf(c_36804,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_36189]) ).
tcf(c_36805,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_36189]) ).
tcf(c_36806,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_36189]) ).
tcf(c_36807,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_36189]) ).
tcf(c_36808,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_36189]) ).
tcf(c_36809,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_36189]) ).
tcf(c_36810,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_36189]) ).
tcf(c_36811,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_36189]) ).
tcf(c_36812,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_36189]) ).
tcf(c_36813,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_36189]) ).
tcf(c_36814,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_36189]) ).
tcf(c_36815,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_36189]) ).
tcf(c_36816,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_36189]) ).
tcf(c_36817,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_36189]) ).
tcf(c_36909,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36781,c_69]) ).
tcf(c_36917,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36782,c_69]) ).
tcf(c_36918,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sz00))) = sz00,
inference(superposition,[status(thm)],[c_49,c_36190]) ).
tcf(c_36919,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_36190]) ).
tcf(c_36920,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_36190]) ).
tcf(c_36921,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_36190]) ).
tcf(c_36922,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xl))) = sz00,
inference(superposition,[status(thm)],[c_101,c_36190]) ).
tcf(c_36923,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xm))) = sz00,
inference(superposition,[status(thm)],[c_102,c_36190]) ).
tcf(c_36924,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xn))) = sz00,
inference(superposition,[status(thm)],[c_103,c_36190]) ).
tcf(c_36926,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_113,c_36190]) ).
tcf(c_36927,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_36190]) ).
tcf(c_36928,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_36190]) ).
tcf(c_36929,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_36190]) ).
tcf(c_36930,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_36190]) ).
tcf(c_36931,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_36190]) ).
tcf(c_36932,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_36190]) ).
tcf(c_36933,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_36190]) ).
tcf(c_36934,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_36190]) ).
tcf(c_36935,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_36190]) ).
tcf(c_36936,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_36190]) ).
tcf(c_36937,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_36190]) ).
tcf(c_36938,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_36190]) ).
tcf(c_36939,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_36190]) ).
tcf(c_36940,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_36190]) ).
tcf(c_36941,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_36190]) ).
tcf(c_36942,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_36190]) ).
tcf(c_36943,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_36190]) ).
tcf(c_36944,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_36190]) ).
tcf(c_36945,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_36190]) ).
tcf(c_36946,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_36190]) ).
tcf(c_36947,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_36190]) ).
tcf(c_36948,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_36190]) ).
tcf(c_36949,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_36190]) ).
tcf(c_36950,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_36190]) ).
tcf(c_36951,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_36190]) ).
tcf(c_36952,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_36190]) ).
tcf(c_36953,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_36190]) ).
tcf(c_36954,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_36190]) ).
tcf(c_36955,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_36190]) ).
tcf(c_36956,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_36190]) ).
tcf(c_36957,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_36190]) ).
tcf(c_36958,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_36190]) ).
tcf(c_36959,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_36190]) ).
tcf(c_36960,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_36190]) ).
tcf(c_36961,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_36190]) ).
tcf(c_37103,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36926,c_69]) ).
tcf(c_37112,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sz00)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36774,c_69]) ).
tcf(c_37120,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36778,c_69]) ).
tcf(c_37128,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xm)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36779,c_69]) ).
tcf(c_37136,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36401,c_69]) ).
tcf(c_37144,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xn)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36780,c_69]) ).
tcf(c_37153,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sz00)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36918,c_69]) ).
tcf(c_37161,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36922,c_69]) ).
tcf(c_37166,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xn)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13720,c_68]) ).
tcf(c_37173,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xm)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13721,c_68]) ).
tcf(c_37180,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xn)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13722,c_68]) ).
tcf(c_37186,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xm)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13723,c_68]) ).
tcf(c_37195,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xm)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36923,c_69]) ).
tcf(c_37244,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xn)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36924,c_69]) ).
tcf(c_37245,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_5193,c_36783]) ).
tcf(c_37251,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36783,c_69]) ).
tcf(c_37252,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2315,c_36784]) ).
tcf(c_37259,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36784,c_69]) ).
tcf(c_37306,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2448,c_36785]) ).
tcf(c_37313,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36785,c_69]) ).
tcf(c_37314,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_3120,c_36786]) ).
tcf(c_37321,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36786,c_69]) ).
tcf(c_37322,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_4135,c_36794]) ).
tcf(c_37328,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36794,c_69]) ).
tcf(c_37329,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6081,c_36795]) ).
tcf(c_37336,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36795,c_69]) ).
tcf(c_37337,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_49,c_36186]) ).
tcf(c_37338,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_36186]) ).
tcf(c_37339,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_36186]) ).
tcf(c_37340,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtsldt0(X1,X0)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_36186]) ).
tcf(c_37346,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_36186]) ).
tcf(c_37348,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_36186]) ).
tcf(c_37349,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_36186]) ).
tcf(c_37350,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_36186]) ).
tcf(c_37351,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_36186]) ).
tcf(c_37352,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_36186]) ).
tcf(c_37353,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_36186]) ).
tcf(c_37354,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_36186]) ).
tcf(c_37355,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_36186]) ).
tcf(c_37356,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_36186]) ).
tcf(c_37357,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_36186]) ).
tcf(c_37358,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_36186]) ).
tcf(c_37359,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_36186]) ).
tcf(c_37360,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_36186]) ).
tcf(c_37361,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_36186]) ).
tcf(c_37362,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_36186]) ).
tcf(c_37363,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_36186]) ).
tcf(c_37364,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_36186]) ).
tcf(c_37365,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_36186]) ).
tcf(c_37366,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_36186]) ).
tcf(c_37367,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_36186]) ).
tcf(c_37368,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_36186]) ).
tcf(c_37369,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_36186]) ).
tcf(c_37370,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_36186]) ).
tcf(c_37371,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_36186]) ).
tcf(c_37372,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_36186]) ).
tcf(c_37373,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_36186]) ).
tcf(c_37374,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_36186]) ).
tcf(c_37375,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_36186]) ).
tcf(c_37376,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_36186]) ).
tcf(c_37377,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_36186]) ).
tcf(c_37378,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_36186]) ).
tcf(c_37379,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_36186]) ).
tcf(c_37380,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_36186]) ).
tcf(c_37470,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sz00)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_37337,c_69]) ).
tcf(c_37500,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_49,c_36187]) ).
tcf(c_37501,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_36187]) ).
tcf(c_37502,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_36187]) ).
tcf(c_37503,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtsldt0(X1,X0)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_36187]) ).
tcf(c_37504,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_101,c_36187]) ).
tcf(c_37505,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_102,c_36187]) ).
tcf(c_37509,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_36187]) ).
tcf(c_37510,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_36187]) ).
tcf(c_37511,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_36187]) ).
tcf(c_37512,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_36187]) ).
tcf(c_37513,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_36187]) ).
tcf(c_37514,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_36187]) ).
tcf(c_37515,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_36187]) ).
tcf(c_37516,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_36187]) ).
tcf(c_37517,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_36187]) ).
tcf(c_37518,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_36187]) ).
tcf(c_37519,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_36187]) ).
tcf(c_37520,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_36187]) ).
tcf(c_37521,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_36187]) ).
tcf(c_37522,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_36187]) ).
tcf(c_37523,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_36187]) ).
tcf(c_37524,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_36187]) ).
tcf(c_37525,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_36187]) ).
tcf(c_37526,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_36187]) ).
tcf(c_37527,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_36187]) ).
tcf(c_37528,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_36187]) ).
tcf(c_37529,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_36187]) ).
tcf(c_37530,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_36187]) ).
tcf(c_37531,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_36187]) ).
tcf(c_37532,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_36187]) ).
tcf(c_37533,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_36187]) ).
tcf(c_37534,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_36187]) ).
tcf(c_37535,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_36187]) ).
tcf(c_37536,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_36187]) ).
tcf(c_37537,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_36187]) ).
tcf(c_37538,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_36187]) ).
tcf(c_37539,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_36187]) ).
tcf(c_37540,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_36187]) ).
tcf(c_37541,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_36187]) ).
tcf(c_37542,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_36187]) ).
tcf(c_37543,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_36187]) ).
tcf(c_37625,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sz00)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_37500,c_69]) ).
tcf(c_37671,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xl,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xn)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13724,c_68]) ).
tcf(c_37677,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xm,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,xn)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13725,c_68]) ).
tcf(c_37683,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xl)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20751,c_68]) ).
tcf(c_37689,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xl)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20752,c_68]) ).
tcf(c_37702,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_4544,c_36796]) ).
tcf(c_37708,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36796,c_69]) ).
tcf(c_37736,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6272,c_36798]) ).
tcf(c_37743,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36798,c_69]) ).
tcf(c_37744,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6551,c_36799]) ).
tcf(c_37751,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36799,c_69]) ).
tcf(c_37752,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7125,c_36800]) ).
tcf(c_37758,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36800,c_69]) ).
tcf(c_37759,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7585,c_36801]) ).
tcf(c_37765,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36801,c_69]) ).
tcf(c_37766,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8115,c_36811]) ).
tcf(c_37772,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36811,c_69]) ).
tcf(c_37773,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20820,c_36817]) ).
tcf(c_37779,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36817,c_69]) ).
tcf(c_37780,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_5192,c_36927]) ).
tcf(c_37786,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36927,c_69]) ).
tcf(c_37794,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_37504,c_69]) ).
tcf(c_37801,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xm)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_37505,c_69]) ).
tcf(c_37802,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_49,c_36188]) ).
tcf(c_37803,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_36188]) ).
tcf(c_37804,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_36188]) ).
tcf(c_37805,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtsldt0(X1,X0)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_36188]) ).
tcf(c_37806,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_101,c_36188]) ).
tcf(c_37807,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_102,c_36188]) ).
tcf(c_37808,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_103,c_36188]) ).
tcf(c_37811,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_36188]) ).
tcf(c_37812,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_36188]) ).
tcf(c_37813,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_36188]) ).
tcf(c_37814,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_36188]) ).
tcf(c_37815,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_36188]) ).
tcf(c_37816,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_36188]) ).
tcf(c_37817,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_36188]) ).
tcf(c_37818,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_36188]) ).
tcf(c_37819,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_36188]) ).
tcf(c_37820,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_36188]) ).
tcf(c_37821,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_36188]) ).
tcf(c_37822,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_36188]) ).
tcf(c_37823,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_36188]) ).
tcf(c_37824,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_36188]) ).
tcf(c_37825,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_36188]) ).
tcf(c_37826,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_36188]) ).
tcf(c_37827,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_36188]) ).
tcf(c_37828,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_36188]) ).
tcf(c_37829,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_36188]) ).
tcf(c_37830,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_36188]) ).
tcf(c_37831,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_36188]) ).
tcf(c_37832,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_36188]) ).
tcf(c_37833,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_36188]) ).
tcf(c_37834,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_36188]) ).
tcf(c_37835,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_36188]) ).
tcf(c_37836,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_36188]) ).
tcf(c_37837,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_36188]) ).
tcf(c_37838,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_36188]) ).
tcf(c_37839,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_36188]) ).
tcf(c_37840,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_36188]) ).
tcf(c_37841,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_36188]) ).
tcf(c_37842,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_36188]) ).
tcf(c_37843,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_36188]) ).
tcf(c_37844,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_36188]) ).
tcf(c_37845,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_36188]) ).
tcf(c_38117,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sz00)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_37802,c_69]) ).
tcf(c_38122,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xl)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20753,c_68]) ).
tcf(c_38136,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xl)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20758,c_69]) ).
tcf(c_38142,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xl)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20759,c_69]) ).
tcf(c_38143,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2314,c_36928]) ).
tcf(c_38150,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36928,c_69]) ).
tcf(c_38151,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2447,c_36929]) ).
tcf(c_38158,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36929,c_69]) ).
tcf(c_38159,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_3119,c_36930]) ).
tcf(c_38166,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36930,c_69]) ).
tcf(c_38167,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_4134,c_36938]) ).
tcf(c_38173,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36938,c_69]) ).
tcf(c_38232,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6080,c_36939]) ).
tcf(c_38239,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36939,c_69]) ).
tcf(c_38240,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_4543,c_36940]) ).
tcf(c_38246,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36940,c_69]) ).
tcf(c_38247,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6271,c_36942]) ).
tcf(c_38254,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36942,c_69]) ).
tcf(c_38255,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6550,c_36943]) ).
tcf(c_38262,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36943,c_69]) ).
tcf(c_38270,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_37806,c_69]) ).
tcf(c_38278,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_37807,c_69]) ).
tcf(c_38285,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xn)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_37808,c_69]) ).
tcf(c_38286,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_9446]) ).
tcf(c_38287,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(X0,X1),X2))) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_9446]) ).
tcf(c_38288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(X0,X1),X2))) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_9446]) ).
tcf(c_38289,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(X1,X0),X2))) = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_9446]) ).
tcf(c_38290,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_9446]) ).
tcf(c_38291,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_9446]) ).
tcf(c_38292,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_9446]) ).
tcf(c_38293,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_111,c_9446]) ).
tcf(c_38294,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_113,c_9446]) ).
tcf(c_38295,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xm,xn),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_5163,c_9446]) ).
tcf(c_38296,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,xl),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2306,c_9446]) ).
tcf(c_38297,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,xm),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2439,c_9446]) ).
tcf(c_38298,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,xn),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3105,c_9446]) ).
tcf(c_38299,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8380,c_9446]) ).
tcf(c_38300,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8616,c_9446]) ).
tcf(c_38301,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33189,c_9446]) ).
tcf(c_38302,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35098,c_9446]) ).
tcf(c_38303,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xl,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16296,c_9446]) ).
tcf(c_38304,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xl,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17746,c_9446]) ).
tcf(c_38305,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19156,c_9446]) ).
tcf(c_38306,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4110,c_9446]) ).
tcf(c_38307,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,xl),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6040,c_9446]) ).
tcf(c_38308,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4519,c_9446]) ).
tcf(c_38309,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20481,c_9446]) ).
tcf(c_38310,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,xm),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6231,c_9446]) ).
tcf(c_38311,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,xn),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_6510,c_9446]) ).
tcf(c_38312,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xl,xm),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7084,c_9446]) ).
tcf(c_38313,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xl,xn),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7544,c_9446]) ).
tcf(c_38314,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13928,c_9446]) ).
tcf(c_38315,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xm,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14276,c_9446]) ).
tcf(c_38316,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14564,c_9446]) ).
tcf(c_38317,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14885,c_9446]) ).
tcf(c_38318,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xm,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15266,c_9446]) ).
tcf(c_38319,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xn,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15559,c_9446]) ).
tcf(c_38320,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16010,c_9446]) ).
tcf(c_38321,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16830,c_9446]) ).
tcf(c_38322,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xn,sdtsldt0(xn,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17114,c_9446]) ).
tcf(c_38323,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xm,xn),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8073,c_9446]) ).
tcf(c_38324,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17430,c_9446]) ).
tcf(c_38325,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xm,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18329,c_9446]) ).
tcf(c_38326,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xn,sdtsldt0(xm,xl)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18641,c_9446]) ).
tcf(c_38327,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19768,c_9446]) ).
tcf(c_38328,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20207,c_9446]) ).
tcf(c_38329,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,xl),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20483,c_9446]) ).
tcf(c_38479,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xl)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20760,c_69]) ).
tcf(c_38491,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xl)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20765,c_68]) ).
tcf(c_38497,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xl)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20766,c_68]) ).
tcf(c_38499,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sz00))) = sz00,
inference(superposition,[status(thm)],[c_49,c_38293]) ).
tcf(c_38500,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_38293]) ).
tcf(c_38501,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_38293]) ).
tcf(c_38502,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(X1,X0)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_38293]) ).
tcf(c_38503,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xl))) = sz00,
inference(superposition,[status(thm)],[c_101,c_38293]) ).
tcf(c_38504,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xm))) = sz00,
inference(superposition,[status(thm)],[c_102,c_38293]) ).
tcf(c_38505,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xn))) = sz00,
inference(superposition,[status(thm)],[c_103,c_38293]) ).
tcf(c_38506,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_111,c_38293]) ).
tcf(c_38507,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_113,c_38293]) ).
tcf(c_38508,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_38293]) ).
tcf(c_38509,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_38293]) ).
tcf(c_38510,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_38293]) ).
tcf(c_38511,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_38293]) ).
tcf(c_38512,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_38293]) ).
tcf(c_38513,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_38293]) ).
tcf(c_38514,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_38293]) ).
tcf(c_38515,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_38293]) ).
tcf(c_38516,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_38293]) ).
tcf(c_38517,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_38293]) ).
tcf(c_38518,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_38293]) ).
tcf(c_38519,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_38293]) ).
tcf(c_38520,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_38293]) ).
tcf(c_38521,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_38293]) ).
tcf(c_38522,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_38293]) ).
tcf(c_38523,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_38293]) ).
tcf(c_38524,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_38293]) ).
tcf(c_38525,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_38293]) ).
tcf(c_38526,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_38293]) ).
tcf(c_38527,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_38293]) ).
tcf(c_38528,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_38293]) ).
tcf(c_38529,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_38293]) ).
tcf(c_38530,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_38293]) ).
tcf(c_38531,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_38293]) ).
tcf(c_38532,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_38293]) ).
tcf(c_38533,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_38293]) ).
tcf(c_38534,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_38293]) ).
tcf(c_38535,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_38293]) ).
tcf(c_38536,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_38293]) ).
tcf(c_38537,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_38293]) ).
tcf(c_38538,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_38293]) ).
tcf(c_38539,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_38293]) ).
tcf(c_38540,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_38293]) ).
tcf(c_38541,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_38293]) ).
tcf(c_38542,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_38293]) ).
tcf(c_38656,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38506,c_69]) ).
tcf(c_38664,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38507,c_69]) ).
tcf(c_38665,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sz00))) = sz00,
inference(superposition,[status(thm)],[c_49,c_38294]) ).
tcf(c_38666,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_38294]) ).
tcf(c_38667,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_38294]) ).
tcf(c_38668,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(X1,X0)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_38294]) ).
tcf(c_38669,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xl))) = sz00,
inference(superposition,[status(thm)],[c_101,c_38294]) ).
tcf(c_38670,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xm))) = sz00,
inference(superposition,[status(thm)],[c_102,c_38294]) ).
tcf(c_38671,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xn))) = sz00,
inference(superposition,[status(thm)],[c_103,c_38294]) ).
tcf(c_38673,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_113,c_38294]) ).
tcf(c_38674,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_38294]) ).
tcf(c_38675,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_38294]) ).
tcf(c_38676,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_38294]) ).
tcf(c_38677,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_38294]) ).
tcf(c_38678,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_38294]) ).
tcf(c_38679,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_38294]) ).
tcf(c_38680,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_38294]) ).
tcf(c_38681,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_38294]) ).
tcf(c_38682,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_38294]) ).
tcf(c_38683,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_38294]) ).
tcf(c_38684,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_38294]) ).
tcf(c_38685,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_38294]) ).
tcf(c_38686,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_38294]) ).
tcf(c_38687,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_38294]) ).
tcf(c_38688,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_38294]) ).
tcf(c_38689,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_38294]) ).
tcf(c_38690,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_38294]) ).
tcf(c_38691,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_38294]) ).
tcf(c_38692,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_38294]) ).
tcf(c_38693,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_38294]) ).
tcf(c_38694,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_38294]) ).
tcf(c_38695,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_38294]) ).
tcf(c_38696,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_38294]) ).
tcf(c_38697,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_38294]) ).
tcf(c_38698,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_38294]) ).
tcf(c_38699,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_38294]) ).
tcf(c_38700,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_38294]) ).
tcf(c_38701,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_38294]) ).
tcf(c_38702,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_38294]) ).
tcf(c_38703,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_38294]) ).
tcf(c_38704,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_38294]) ).
tcf(c_38705,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_38294]) ).
tcf(c_38706,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_38294]) ).
tcf(c_38707,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_38294]) ).
tcf(c_38708,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_38294]) ).
tcf(c_38784,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38673,c_69]) ).
tcf(c_38793,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sz00)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38499,c_69]) ).
tcf(c_38812,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38503,c_69]) ).
tcf(c_38820,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xm)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38504,c_69]) ).
tcf(c_38837,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xn)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38505,c_69]) ).
tcf(c_38846,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sz00)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38665,c_69]) ).
tcf(c_38868,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38669,c_69]) ).
tcf(c_38899,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xm)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38670,c_69]) ).
tcf(c_38904,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xl)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20769,c_68]) ).
tcf(c_38911,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xl)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_20770,c_68]) ).
tcf(c_38927,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xl)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20772,c_69]) ).
tcf(c_38940,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xl)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20773,c_69]) ).
tcf(c_38956,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xn)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38671,c_69]) ).
tcf(c_38973,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7124,c_36944]) ).
tcf(c_38979,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36944,c_69]) ).
tcf(c_39001,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7584,c_36945]) ).
tcf(c_39007,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36945,c_69]) ).
tcf(c_39076,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8114,c_36955]) ).
tcf(c_39082,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36955,c_69]) ).
tcf(c_39129,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20819,c_36961]) ).
tcf(c_39135,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36961,c_69]) ).
tcf(c_39136,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_5191,c_38508]) ).
tcf(c_39142,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38508,c_69]) ).
tcf(c_39143,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2313,c_38509]) ).
tcf(c_39150,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38509,c_69]) ).
tcf(c_39181,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2446,c_38510]) ).
tcf(c_39188,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38510,c_69]) ).
tcf(c_39189,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_49,c_38286]) ).
tcf(c_39190,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_38286]) ).
tcf(c_39191,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_38286]) ).
tcf(c_39192,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtsldt0(X1,X0)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_38286]) ).
tcf(c_39198,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_38286]) ).
tcf(c_39199,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_38286]) ).
tcf(c_39200,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_38286]) ).
tcf(c_39201,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_38286]) ).
tcf(c_39202,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_38286]) ).
tcf(c_39203,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_38286]) ).
tcf(c_39204,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_38286]) ).
tcf(c_39205,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_38286]) ).
tcf(c_39206,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_38286]) ).
tcf(c_39207,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_38286]) ).
tcf(c_39208,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_38286]) ).
tcf(c_39209,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_38286]) ).
tcf(c_39210,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_38286]) ).
tcf(c_39211,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_38286]) ).
tcf(c_39212,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_38286]) ).
tcf(c_39213,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_38286]) ).
tcf(c_39214,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_38286]) ).
tcf(c_39215,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_38286]) ).
tcf(c_39216,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_38286]) ).
tcf(c_39217,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_38286]) ).
tcf(c_39218,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_38286]) ).
tcf(c_39219,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_38286]) ).
tcf(c_39220,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_38286]) ).
tcf(c_39221,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_38286]) ).
tcf(c_39222,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_38286]) ).
tcf(c_39223,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_38286]) ).
tcf(c_39224,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_38286]) ).
tcf(c_39225,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_38286]) ).
tcf(c_39226,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_38286]) ).
tcf(c_39227,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_38286]) ).
tcf(c_39228,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_38286]) ).
tcf(c_39229,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_38286]) ).
tcf(c_39230,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_38286]) ).
tcf(c_39231,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_38286]) ).
tcf(c_39232,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_38286]) ).
tcf(c_39403,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_39189,c_69]) ).
tcf(c_39404,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_49,c_38290]) ).
tcf(c_39405,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_38290]) ).
tcf(c_39406,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_38290]) ).
tcf(c_39407,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtsldt0(X1,X0)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_38290]) ).
tcf(c_39408,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_101,c_38290]) ).
tcf(c_39413,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_38290]) ).
tcf(c_39414,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_38290]) ).
tcf(c_39415,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_38290]) ).
tcf(c_39416,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_38290]) ).
tcf(c_39417,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_38290]) ).
tcf(c_39418,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_38290]) ).
tcf(c_39419,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_38290]) ).
tcf(c_39420,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_38290]) ).
tcf(c_39421,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_38290]) ).
tcf(c_39422,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_38290]) ).
tcf(c_39423,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_38290]) ).
tcf(c_39424,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_38290]) ).
tcf(c_39425,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_38290]) ).
tcf(c_39426,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_38290]) ).
tcf(c_39427,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_38290]) ).
tcf(c_39428,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_38290]) ).
tcf(c_39429,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_38290]) ).
tcf(c_39430,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_38290]) ).
tcf(c_39431,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_38290]) ).
tcf(c_39432,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_38290]) ).
tcf(c_39433,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_38290]) ).
tcf(c_39434,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_38290]) ).
tcf(c_39435,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_38290]) ).
tcf(c_39436,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_38290]) ).
tcf(c_39437,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_38290]) ).
tcf(c_39438,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_38290]) ).
tcf(c_39439,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_38290]) ).
tcf(c_39440,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_38290]) ).
tcf(c_39441,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_38290]) ).
tcf(c_39442,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_38290]) ).
tcf(c_39443,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_38290]) ).
tcf(c_39444,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_38290]) ).
tcf(c_39445,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_38290]) ).
tcf(c_39446,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_38290]) ).
tcf(c_39447,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_38290]) ).
tcf(c_39572,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,sz00)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_39404,c_69]) ).
tcf(c_39578,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xl)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20776,c_69]) ).
tcf(c_39585,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_20777,c_69]) ).
tcf(c_39588,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_3118,c_38511]) ).
tcf(c_39595,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38511,c_69]) ).
tcf(c_39596,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_4133,c_38519]) ).
tcf(c_39602,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38519,c_69]) ).
tcf(c_39603,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6079,c_38520]) ).
tcf(c_39610,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38520,c_69]) ).
tcf(c_39619,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_4542,c_38521]) ).
tcf(c_39625,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38521,c_69]) ).
tcf(c_39636,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6270,c_38523]) ).
tcf(c_39643,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38523,c_69]) ).
tcf(c_39644,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6549,c_38524]) ).
tcf(c_39651,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38524,c_69]) ).
tcf(c_39656,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7123,c_38525]) ).
tcf(c_39662,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38525,c_69]) ).
tcf(c_39671,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7583,c_38526]) ).
tcf(c_39677,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38526,c_69]) ).
tcf(c_39684,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_39408,c_69]) ).
tcf(c_39685,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_49,c_38291]) ).
tcf(c_39686,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_38291]) ).
tcf(c_39687,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_38291]) ).
tcf(c_39688,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtsldt0(X1,X0)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_38291]) ).
tcf(c_39689,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_101,c_38291]) ).
tcf(c_39690,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_102,c_38291]) ).
tcf(c_39694,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_38291]) ).
tcf(c_39695,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_38291]) ).
tcf(c_39696,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_38291]) ).
tcf(c_39697,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_38291]) ).
tcf(c_39698,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_38291]) ).
tcf(c_39699,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_38291]) ).
tcf(c_39700,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_38291]) ).
tcf(c_39701,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_38291]) ).
tcf(c_39702,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_38291]) ).
tcf(c_39703,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_38291]) ).
tcf(c_39704,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_38291]) ).
tcf(c_39705,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_38291]) ).
tcf(c_39706,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_38291]) ).
tcf(c_39707,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_38291]) ).
tcf(c_39708,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_38291]) ).
tcf(c_39709,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_38291]) ).
tcf(c_39710,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_38291]) ).
tcf(c_39711,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_38291]) ).
tcf(c_39712,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_38291]) ).
tcf(c_39713,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_38291]) ).
tcf(c_39714,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_38291]) ).
tcf(c_39715,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_38291]) ).
tcf(c_39716,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_38291]) ).
tcf(c_39717,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_38291]) ).
tcf(c_39718,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_38291]) ).
tcf(c_39719,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_38291]) ).
tcf(c_39720,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_38291]) ).
tcf(c_39721,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_38291]) ).
tcf(c_39722,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_38291]) ).
tcf(c_39723,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_38291]) ).
tcf(c_39724,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_38291]) ).
tcf(c_39725,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_38291]) ).
tcf(c_39726,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_38291]) ).
tcf(c_39727,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_38291]) ).
tcf(c_39728,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_38291]) ).
tcf(c_39944,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sz00)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_39685,c_69]) ).
tcf(c_39952,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_39689,c_69]) ).
tcf(c_39959,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xm)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_39690,c_69]) ).
tcf(c_39963,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(xl,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4043,c_71]) ).
tcf(c_39964,plain,
( ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(xl,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4043,c_70]) ).
tcf(c_39965,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_4043,c_52]) ).
tcf(c_39966,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sdtpldt0(sz00,xm),X0) != sdtpldt0(xl,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_4043,c_66]) ).
tcf(c_39967,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(xl,sdtpldt0(sz00,xm)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_4043,c_67]) ).
tcf(c_39973,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(xl,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4044,c_71]) ).
tcf(c_39974,plain,
( ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(xl,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4044,c_70]) ).
tcf(c_39975,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_4044,c_52]) ).
tcf(c_39976,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sdtpldt0(sz00,xn),X0) != sdtpldt0(xl,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_4044,c_66]) ).
tcf(c_39977,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(xl,sdtpldt0(sz00,xn)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_4044,c_67]) ).
tcf(c_39982,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4112,c_71]) ).
tcf(c_39983,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4112,c_70]) ).
tcf(c_39984,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4112,c_52]) ).
tcf(c_39985,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_4112,c_66]) ).
tcf(c_39986,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_4112,c_67]) ).
tcf(c_40007,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8113,c_38536]) ).
tcf(c_40013,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38536,c_69]) ).
tcf(c_40014,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xn,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20818,c_38542]) ).
tcf(c_40020,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38542,c_69]) ).
tcf(c_40044,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xm,xn),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_5190,c_38674]) ).
tcf(c_40050,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38674,c_69]) ).
tcf(c_40092,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,xl),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2312,c_38675]) ).
tcf(c_40099,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38675,c_69]) ).
tcf(c_40100,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,xm),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2445,c_38676]) ).
tcf(c_40107,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38676,c_69]) ).
tcf(c_40108,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,xn),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_3117,c_38677]) ).
tcf(c_40115,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38677,c_69]) ).
tcf(c_40116,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,xm),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_4132,c_38685]) ).
tcf(c_40122,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38685,c_69]) ).
tcf(c_40123,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,xl),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6078,c_38686]) ).
tcf(c_40130,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38686,c_69]) ).
tcf(c_40131,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_49,c_38292]) ).
tcf(c_40132,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_38292]) ).
tcf(c_40133,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(X0,X1)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_38292]) ).
tcf(c_40134,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtsldt0(X1,X0)))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_38292]) ).
tcf(c_40135,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_101,c_38292]) ).
tcf(c_40136,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_102,c_38292]) ).
tcf(c_40137,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_103,c_38292]) ).
tcf(c_40140,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_5163,c_38292]) ).
tcf(c_40141,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_2306,c_38292]) ).
tcf(c_40142,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_2439,c_38292]) ).
tcf(c_40143,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_3105,c_38292]) ).
tcf(c_40144,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8380,c_38292]) ).
tcf(c_40145,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_8616,c_38292]) ).
tcf(c_40146,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_33189,c_38292]) ).
tcf(c_40147,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_35098,c_38292]) ).
tcf(c_40148,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16296,c_38292]) ).
tcf(c_40149,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17746,c_38292]) ).
tcf(c_40150,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_19156,c_38292]) ).
tcf(c_40151,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_4110,c_38292]) ).
tcf(c_40152,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6040,c_38292]) ).
tcf(c_40153,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_4519,c_38292]) ).
tcf(c_40154,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))))) = sz00,
inference(superposition,[status(thm)],[c_20481,c_38292]) ).
tcf(c_40155,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_6231,c_38292]) ).
tcf(c_40156,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_6510,c_38292]) ).
tcf(c_40157,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7084,c_38292]) ).
tcf(c_40158,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_7544,c_38292]) ).
tcf(c_40159,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_13928,c_38292]) ).
tcf(c_40160,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14276,c_38292]) ).
tcf(c_40161,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14564,c_38292]) ).
tcf(c_40162,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_14885,c_38292]) ).
tcf(c_40163,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15266,c_38292]) ).
tcf(c_40164,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_15559,c_38292]) ).
tcf(c_40165,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16010,c_38292]) ).
tcf(c_40166,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_16830,c_38292]) ).
tcf(c_40167,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xn,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17114,c_38292]) ).
tcf(c_40168,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8073,c_38292]) ).
tcf(c_40169,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_17430,c_38292]) ).
tcf(c_40170,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18329,c_38292]) ).
tcf(c_40171,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtsldt0(xm,xl))))) = sz00,
inference(superposition,[status(thm)],[c_18641,c_38292]) ).
tcf(c_40172,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_19768,c_38292]) ).
tcf(c_40173,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_20207,c_38292]) ).
tcf(c_40174,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20483,c_38292]) ).
tcf(c_40300,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sz00)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_40131,c_69]) ).
tcf(c_40308,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_40135,c_69]) ).
tcf(c_40406,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_40136,c_69]) ).
tcf(c_40413,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xn)))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_40137,c_69]) ).
tcf(c_40418,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sz00,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4136,c_70]) ).
tcf(c_40419,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4136,c_52]) ).
tcf(c_40420,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(sz00,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_4136,c_66]) ).
tcf(c_40421,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sz00,sdtpldt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_4136,c_67]) ).
tcf(c_40426,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4521,c_71]) ).
tcf(c_40427,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4521,c_70]) ).
tcf(c_40428,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4521,c_52]) ).
tcf(c_40429,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_4521,c_66]) ).
tcf(c_40430,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_4521,c_67]) ).
tcf(c_40437,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sz00,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4545,c_70]) ).
tcf(c_40438,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4545,c_52]) ).
tcf(c_40439,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(sz00,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_4545,c_66]) ).
tcf(c_40440,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sz00,sdtpldt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_4545,c_67]) ).
tcf(c_40443,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,xn),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_4541,c_38687]) ).
tcf(c_40449,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38687,c_69]) ).
tcf(c_40472,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,xm),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6269,c_38689]) ).
tcf(c_40479,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38689,c_69]) ).
tcf(c_40480,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(sz00,xn),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_6548,c_38690]) ).
tcf(c_40487,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38690,c_69]) ).
tcf(c_40488,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xl,xm),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7122,c_38691]) ).
tcf(c_40494,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38691,c_69]) ).
tcf(c_40495,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7582,c_38692]) ).
tcf(c_40501,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38692,c_69]) ).
tcf(c_40502,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtasdt0(xm,xn),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8112,c_38702]) ).
tcf(c_40508,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38702,c_69]) ).
tcf(c_40531,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,xl),sdtsldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_20817,c_38708]) ).
tcf(c_40537,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_38708,c_69]) ).
tcf(c_40544,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl)))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtsldt0(xn,xl))))) != sz00 ) ),
inference(superposition,[status(thm)],[c_36787,c_69]) ).
tcf(c_40545,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_39965,c_102,c_101,c_49,c_2073,c_39965]) ).
tcf(c_40548,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_38292]) ).
tcf(c_40549,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_38291]) ).
tcf(c_40550,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_38290]) ).
tcf(c_40551,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_38286]) ).
tcf(c_40552,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_38294]) ).
tcf(c_40553,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_38293]) ).
tcf(c_40554,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_9446]) ).
tcf(c_40555,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_36188]) ).
tcf(c_40556,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_36187]) ).
tcf(c_40557,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_36186]) ).
tcf(c_40558,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_36190]) ).
tcf(c_40559,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_36189]) ).
tcf(c_40560,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_36182]) ).
tcf(c_40561,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_9445]) ).
tcf(c_40562,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_33650]) ).
tcf(c_40563,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_33649]) ).
tcf(c_40564,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_33648]) ).
tcf(c_40565,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_33644]) ).
tcf(c_40566,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_33652]) ).
tcf(c_40567,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_33651]) ).
tcf(c_40568,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0),sz00) = sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_1942]) ).
tcf(c_40569,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_31625]) ).
tcf(c_40570,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_31624]) ).
tcf(c_40571,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_31627]) ).
tcf(c_40572,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_31626]) ).
tcf(c_40573,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_31623]) ).
tcf(c_40574,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_31619]) ).
tcf(c_40575,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_1941]) ).
tcf(c_40576,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_29595]) ).
tcf(c_40577,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_29594]) ).
tcf(c_40578,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_29593]) ).
tcf(c_40579,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_29597]) ).
tcf(c_40580,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_29596]) ).
tcf(c_40581,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_29589]) ).
tcf(c_40582,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0),sz00) = sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_1928]) ).
tcf(c_40583,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_27948]) ).
tcf(c_40584,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_27947]) ).
tcf(c_40585,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_27950]) ).
tcf(c_40586,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_27949]) ).
tcf(c_40587,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_27946]) ).
tcf(c_40588,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_27942]) ).
tcf(c_40589,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0)) = sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_1927]) ).
tcf(c_40590,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_20823]) ).
tcf(c_40591,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_20822]) ).
tcf(c_40592,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_8118]) ).
tcf(c_40593,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_8117]) ).
tcf(c_40594,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_7588]) ).
tcf(c_40595,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_7587]) ).
tcf(c_40596,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_7128]) ).
tcf(c_40597,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_7127]) ).
tcf(c_40598,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_6554]) ).
tcf(c_40599,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_6553]) ).
tcf(c_40600,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_6275]) ).
tcf(c_40601,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_6274]) ).
tcf(c_40602,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_6084]) ).
tcf(c_40603,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_6083]) ).
tcf(c_40604,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_5196]) ).
tcf(c_40605,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_5195]) ).
tcf(c_40606,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_4547]) ).
tcf(c_40607,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_4546]) ).
tcf(c_40608,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_4138]) ).
tcf(c_40609,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_4137]) ).
tcf(c_40610,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_3123]) ).
tcf(c_40611,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_3122]) ).
tcf(c_40612,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_2451]) ).
tcf(c_40613,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_2450]) ).
tcf(c_40614,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_2318]) ).
tcf(c_40615,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_2317]) ).
tcf(c_40616,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),xn) = sdtpldt0(xl,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_40545,c_2222]) ).
tcf(c_40617,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),xm) = sdtpldt0(xl,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_40545,c_2221]) ).
tcf(c_40618,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),xl) = sdtpldt0(xl,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_40545,c_22756]) ).
tcf(c_40619,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40545,c_12800]) ).
tcf(c_40620,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40545,c_12799]) ).
tcf(c_40621,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40545,c_12798]) ).
tcf(c_40622,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40545,c_12802]) ).
tcf(c_40623,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40545,c_12801]) ).
tcf(c_40624,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40545,c_12794]) ).
tcf(c_40625,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_1940]) ).
tcf(c_40626,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_11833]) ).
tcf(c_40627,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_11832]) ).
tcf(c_40628,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_11831]) ).
tcf(c_40629,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_11835]) ).
tcf(c_40630,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_11834]) ).
tcf(c_40631,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_11827]) ).
tcf(c_40632,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_1939]) ).
tcf(c_40633,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40545,c_10803]) ).
tcf(c_40634,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40545,c_10802]) ).
tcf(c_40635,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40545,c_10805]) ).
tcf(c_40636,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40545,c_10804]) ).
tcf(c_40637,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40545,c_10801]) ).
tcf(c_40638,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_40545,c_10797]) ).
tcf(c_40639,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_1926]) ).
tcf(c_40640,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_9189]) ).
tcf(c_40641,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_9188]) ).
tcf(c_40642,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_9191]) ).
tcf(c_40643,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_9190]) ).
tcf(c_40644,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_40545,c_9187]) ).
tcf(c_40646,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_1925]) ).
tcf(c_40647,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_2009]) ).
tcf(c_40648,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_2008]) ).
tcf(c_40649,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_2007]) ).
tcf(c_40650,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_2004]) ).
tcf(c_40651,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_40545,c_5044]) ).
tcf(c_40652,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_40545,c_5043]) ).
tcf(c_40653,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_40545,c_4926]) ).
tcf(c_40654,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_40545,c_4925]) ).
tcf(c_40655,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_40545,c_4833]) ).
tcf(c_40656,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_40545,c_4832]) ).
tcf(c_40657,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_40545,c_4774]) ).
tcf(c_40658,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_40545,c_4773]) ).
tcf(c_40659,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_1972]) ).
tcf(c_40660,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_1971]) ).
tcf(c_40661,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_3527]) ).
tcf(c_40662,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_3526]) ).
tcf(c_40663,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_3478]) ).
tcf(c_40664,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_3477]) ).
tcf(c_40665,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_1970]) ).
tcf(c_40666,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_40545,c_2777]) ).
tcf(c_40667,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_40545,c_2776]) ).
tcf(c_40668,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xm))),sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_65]) ).
tcf(c_40669,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X1)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_64]) ).
tcf(c_40670,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_40545,c_2727]) ).
tcf(c_40671,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_40545,c_2726]) ).
tcf(c_40672,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_40545,c_2654]) ).
tcf(c_40673,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_40545,c_2653]) ).
tcf(c_40674,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_40545,c_2626]) ).
tcf(c_40675,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))),
inference(superposition,[status(thm)],[c_40545,c_2625]) ).
tcf(c_40676,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_2298]) ).
tcf(c_40677,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_2297]) ).
tcf(c_40678,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_2258]) ).
tcf(c_40679,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_2257]) ).
tcf(c_40680,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sdtsldt0(xm,xl)) = sdtpldt0(xl,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_40545,c_2224]) ).
tcf(c_40681,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),sdtsldt0(xn,xl)) = sdtpldt0(xl,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_40545,c_2223]) ).
tcf(c_40682,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_59]) ).
tcf(c_40683,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_55]) ).
tcf(c_40684,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0),sdtpldt0(xl,sdtpldt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_161]) ).
tcf(c_40685,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_2011]) ).
tcf(c_40686,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_2010]) ).
tcf(c_40687,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_1974]) ).
tcf(c_40688,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_1973]) ).
tcf(c_40689,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_40545,c_1967]) ).
tcf(c_40690,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_58]) ).
tcf(c_40691,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_40545,c_54]) ).
tcf(c_41036,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_39975,c_103,c_101,c_49,c_2078,c_39975]) ).
tcf(c_41039,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_38292]) ).
tcf(c_41040,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_38291]) ).
tcf(c_41041,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_38290]) ).
tcf(c_41042,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_38286]) ).
tcf(c_41043,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_38294]) ).
tcf(c_41044,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_38293]) ).
tcf(c_41045,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_9446]) ).
tcf(c_41046,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_36188]) ).
tcf(c_41047,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_36187]) ).
tcf(c_41048,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_36186]) ).
tcf(c_41049,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_36190]) ).
tcf(c_41050,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_36189]) ).
tcf(c_41051,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_36182]) ).
tcf(c_41052,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_9445]) ).
tcf(c_41053,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_33650]) ).
tcf(c_41054,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_33649]) ).
tcf(c_41055,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_33648]) ).
tcf(c_41056,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_33644]) ).
tcf(c_41057,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_33652]) ).
tcf(c_41058,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_33651]) ).
tcf(c_41059,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0),sz00) = sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_1942]) ).
tcf(c_41060,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_31625]) ).
tcf(c_41061,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_31624]) ).
tcf(c_41062,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_31627]) ).
tcf(c_41063,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_31626]) ).
tcf(c_41064,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_31623]) ).
tcf(c_41065,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_31619]) ).
tcf(c_41066,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_1941]) ).
tcf(c_41067,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_29595]) ).
tcf(c_41068,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_29594]) ).
tcf(c_41069,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_29593]) ).
tcf(c_41070,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_29597]) ).
tcf(c_41071,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_29596]) ).
tcf(c_41072,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_29589]) ).
tcf(c_41073,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0),sz00) = sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_1928]) ).
tcf(c_41074,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_27948]) ).
tcf(c_41075,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_27947]) ).
tcf(c_41076,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_27950]) ).
tcf(c_41077,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_27949]) ).
tcf(c_41078,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_27946]) ).
tcf(c_41079,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_27942]) ).
tcf(c_41080,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0)) = sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_1927]) ).
tcf(c_41081,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_20823]) ).
tcf(c_41082,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_20822]) ).
tcf(c_41083,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_8118]) ).
tcf(c_41084,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_8117]) ).
tcf(c_41085,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_7588]) ).
tcf(c_41086,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_7587]) ).
tcf(c_41087,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_7128]) ).
tcf(c_41088,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_7127]) ).
tcf(c_41089,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_6554]) ).
tcf(c_41090,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_6553]) ).
tcf(c_41091,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_6275]) ).
tcf(c_41092,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_6274]) ).
tcf(c_41093,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_6084]) ).
tcf(c_41094,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_6083]) ).
tcf(c_41095,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_5196]) ).
tcf(c_41096,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_5195]) ).
tcf(c_41097,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_4547]) ).
tcf(c_41098,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_4546]) ).
tcf(c_41099,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_4138]) ).
tcf(c_41100,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_4137]) ).
tcf(c_41101,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_3123]) ).
tcf(c_41102,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_3122]) ).
tcf(c_41103,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_2451]) ).
tcf(c_41104,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_2450]) ).
tcf(c_41105,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_2318]) ).
tcf(c_41106,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_2317]) ).
tcf(c_41107,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),xn) = sdtpldt0(xl,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_41036,c_2222]) ).
tcf(c_41108,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),xm) = sdtpldt0(xl,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_41036,c_2221]) ).
tcf(c_41109,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),xl) = sdtpldt0(xl,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_41036,c_22756]) ).
tcf(c_41110,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41036,c_12800]) ).
tcf(c_41111,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41036,c_12799]) ).
tcf(c_41112,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41036,c_12798]) ).
tcf(c_41113,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41036,c_12802]) ).
tcf(c_41114,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41036,c_12801]) ).
tcf(c_41115,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41036,c_12794]) ).
tcf(c_41116,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_1940]) ).
tcf(c_41117,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_11833]) ).
tcf(c_41118,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_11832]) ).
tcf(c_41119,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_11831]) ).
tcf(c_41120,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_11835]) ).
tcf(c_41121,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_11834]) ).
tcf(c_41122,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_11827]) ).
tcf(c_41123,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_1939]) ).
tcf(c_41124,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41036,c_10803]) ).
tcf(c_41125,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41036,c_10802]) ).
tcf(c_41126,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41036,c_10805]) ).
tcf(c_41127,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41036,c_10804]) ).
tcf(c_41128,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41036,c_10801]) ).
tcf(c_41129,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41036,c_10797]) ).
tcf(c_41130,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_1926]) ).
tcf(c_41131,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_9189]) ).
tcf(c_41132,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_9188]) ).
tcf(c_41133,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_9191]) ).
tcf(c_41134,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_9190]) ).
tcf(c_41135,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_41036,c_9187]) ).
tcf(c_41137,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_1925]) ).
tcf(c_41138,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_2009]) ).
tcf(c_41139,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_2008]) ).
tcf(c_41140,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_2007]) ).
tcf(c_41141,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_2004]) ).
tcf(c_41142,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_41036,c_5044]) ).
tcf(c_41143,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_41036,c_5043]) ).
tcf(c_41144,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_41036,c_4926]) ).
tcf(c_41145,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_41036,c_4925]) ).
tcf(c_41146,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_41036,c_4833]) ).
tcf(c_41147,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_41036,c_4832]) ).
tcf(c_41148,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_41036,c_4774]) ).
tcf(c_41149,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_41036,c_4773]) ).
tcf(c_41150,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_1972]) ).
tcf(c_41151,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_1971]) ).
tcf(c_41152,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_3527]) ).
tcf(c_41153,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_3526]) ).
tcf(c_41154,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_3478]) ).
tcf(c_41155,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_3477]) ).
tcf(c_41156,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_1970]) ).
tcf(c_41157,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_41036,c_2777]) ).
tcf(c_41158,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_41036,c_2776]) ).
tcf(c_41159,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xn))),sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_65]) ).
tcf(c_41160,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X1)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_64]) ).
tcf(c_41161,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_41036,c_2727]) ).
tcf(c_41162,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(sz00,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_41036,c_2726]) ).
tcf(c_41163,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(sz00,xn))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_41036,c_2654]) ).
tcf(c_41164,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(sz00,xn))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_41036,c_2653]) ).
tcf(c_41165,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(sz00,xn))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_41036,c_2626]) ).
tcf(c_41166,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(sz00,xn))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn)))),
inference(superposition,[status(thm)],[c_41036,c_2625]) ).
tcf(c_41167,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_2298]) ).
tcf(c_41168,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_2297]) ).
tcf(c_41169,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_2258]) ).
tcf(c_41170,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_2257]) ).
tcf(c_41171,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sdtsldt0(xm,xl)) = sdtpldt0(xl,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_41036,c_2224]) ).
tcf(c_41172,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),sdtsldt0(xn,xl)) = sdtpldt0(xl,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_41036,c_2223]) ).
tcf(c_41173,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_59]) ).
tcf(c_41174,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_55]) ).
tcf(c_41175,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0),sdtpldt0(xl,sdtpldt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_161]) ).
tcf(c_41176,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_2011]) ).
tcf(c_41177,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_2010]) ).
tcf(c_41178,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_1974]) ).
tcf(c_41179,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_1973]) ).
tcf(c_41180,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_41036,c_1967]) ).
tcf(c_41181,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_58]) ).
tcf(c_41182,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41036,c_54]) ).
tcf(c_41658,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_39984,c_102,c_101,c_4064,c_39984]) ).
tcf(c_41660,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_38292]) ).
tcf(c_41661,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_38291]) ).
tcf(c_41662,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_38290]) ).
tcf(c_41663,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_38286]) ).
tcf(c_41664,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_38294]) ).
tcf(c_41665,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_38293]) ).
tcf(c_41666,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_9446]) ).
tcf(c_41667,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_36188]) ).
tcf(c_41668,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_36187]) ).
tcf(c_41669,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_36186]) ).
tcf(c_41670,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_36190]) ).
tcf(c_41671,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_36189]) ).
tcf(c_41672,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_36182]) ).
tcf(c_41673,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_9445]) ).
tcf(c_41674,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_33650]) ).
tcf(c_41675,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_33649]) ).
tcf(c_41676,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_33648]) ).
tcf(c_41677,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_33644]) ).
tcf(c_41678,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_33652]) ).
tcf(c_41679,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_33651]) ).
tcf(c_41680,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_1942]) ).
tcf(c_41681,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_31625]) ).
tcf(c_41682,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_31624]) ).
tcf(c_41683,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_31627]) ).
tcf(c_41684,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_31626]) ).
tcf(c_41685,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_31623]) ).
tcf(c_41686,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_31619]) ).
tcf(c_41687,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_1941]) ).
tcf(c_41688,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_29595]) ).
tcf(c_41689,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_29594]) ).
tcf(c_41690,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_29593]) ).
tcf(c_41691,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_29597]) ).
tcf(c_41692,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_29596]) ).
tcf(c_41693,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_29589]) ).
tcf(c_41694,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_1928]) ).
tcf(c_41695,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_27948]) ).
tcf(c_41696,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_27947]) ).
tcf(c_41697,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_27950]) ).
tcf(c_41698,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_27949]) ).
tcf(c_41699,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_27946]) ).
tcf(c_41700,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_27942]) ).
tcf(c_41701,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_1927]) ).
tcf(c_41702,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_20823]) ).
tcf(c_41703,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_20822]) ).
tcf(c_41704,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_8118]) ).
tcf(c_41705,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_8117]) ).
tcf(c_41706,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_7588]) ).
tcf(c_41707,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_7587]) ).
tcf(c_41708,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_7128]) ).
tcf(c_41709,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_7127]) ).
tcf(c_41710,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_6554]) ).
tcf(c_41711,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_6553]) ).
tcf(c_41712,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_6275]) ).
tcf(c_41713,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_6274]) ).
tcf(c_41714,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_6084]) ).
tcf(c_41715,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_6083]) ).
tcf(c_41716,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_5196]) ).
tcf(c_41717,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_5195]) ).
tcf(c_41718,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_4547]) ).
tcf(c_41719,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_4546]) ).
tcf(c_41720,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_4138]) ).
tcf(c_41721,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_4137]) ).
tcf(c_41722,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_3123]) ).
tcf(c_41723,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_3122]) ).
tcf(c_41724,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_2451]) ).
tcf(c_41725,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_2450]) ).
tcf(c_41726,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_2318]) ).
tcf(c_41727,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_2317]) ).
tcf(c_41728,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),xn) = sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_41658,c_2222]) ).
tcf(c_41729,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),xm) = sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_41658,c_2221]) ).
tcf(c_41730,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),xl) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_41658,c_22756]) ).
tcf(c_41731,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41658,c_12800]) ).
tcf(c_41732,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41658,c_12799]) ).
tcf(c_41733,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41658,c_12798]) ).
tcf(c_41734,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41658,c_12802]) ).
tcf(c_41735,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41658,c_12801]) ).
tcf(c_41736,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41658,c_12794]) ).
tcf(c_41737,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_1940]) ).
tcf(c_41738,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_11833]) ).
tcf(c_41739,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_11832]) ).
tcf(c_41740,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_11831]) ).
tcf(c_41741,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_11835]) ).
tcf(c_41742,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_11834]) ).
tcf(c_41743,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_11827]) ).
tcf(c_41744,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_1939]) ).
tcf(c_41745,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41658,c_10803]) ).
tcf(c_41746,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41658,c_10802]) ).
tcf(c_41747,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41658,c_10805]) ).
tcf(c_41748,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41658,c_10804]) ).
tcf(c_41749,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41658,c_10801]) ).
tcf(c_41750,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_41658,c_10797]) ).
tcf(c_41751,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_1926]) ).
tcf(c_41752,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_9189]) ).
tcf(c_41753,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_9188]) ).
tcf(c_41754,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_9191]) ).
tcf(c_41755,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_9190]) ).
tcf(c_41756,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_41658,c_9187]) ).
tcf(c_41758,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_1925]) ).
tcf(c_41759,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_2009]) ).
tcf(c_41760,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_2008]) ).
tcf(c_41761,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_2007]) ).
tcf(c_41762,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_2004]) ).
tcf(c_41763,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_41658,c_5044]) ).
tcf(c_41764,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_41658,c_5043]) ).
tcf(c_41765,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_41658,c_4926]) ).
tcf(c_41766,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_41658,c_4925]) ).
tcf(c_41767,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_41658,c_4833]) ).
tcf(c_41768,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_41658,c_4832]) ).
tcf(c_41769,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_41658,c_4774]) ).
tcf(c_41770,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_41658,c_4773]) ).
tcf(c_41771,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_1972]) ).
tcf(c_41772,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_1971]) ).
tcf(c_41773,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_3527]) ).
tcf(c_41774,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_3526]) ).
tcf(c_41775,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_3478]) ).
tcf(c_41776,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_3477]) ).
tcf(c_41777,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_1970]) ).
tcf(c_41778,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_41658,c_2777]) ).
tcf(c_41779,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_41658,c_2776]) ).
tcf(c_41780,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))),sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_65]) ).
tcf(c_41781,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X1)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_64]) ).
tcf(c_41782,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_41658,c_2727]) ).
tcf(c_41783,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_41658,c_2726]) ).
tcf(c_41784,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_41658,c_2654]) ).
tcf(c_41785,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_41658,c_2653]) ).
tcf(c_41786,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_41658,c_2626]) ).
tcf(c_41787,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_41658,c_2625]) ).
tcf(c_41788,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_2298]) ).
tcf(c_41789,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_2297]) ).
tcf(c_41790,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_2258]) ).
tcf(c_41791,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_2257]) ).
tcf(c_41792,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sdtsldt0(xm,xl)) = sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_41658,c_2224]) ).
tcf(c_41793,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),sdtsldt0(xn,xl)) = sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_41658,c_2223]) ).
tcf(c_41794,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_59]) ).
tcf(c_41795,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_55]) ).
tcf(c_41796,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sdtpldt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_161]) ).
tcf(c_41797,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_2011]) ).
tcf(c_41798,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_2010]) ).
tcf(c_41799,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_1974]) ).
tcf(c_41800,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_1973]) ).
tcf(c_41801,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_41658,c_1967]) ).
tcf(c_41802,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_58]) ).
tcf(c_41803,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_41658,c_54]) ).
tcf(c_42302,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_40419,c_102,c_101,c_49,c_4064,c_40419]) ).
tcf(c_42305,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_38292]) ).
tcf(c_42306,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_38291]) ).
tcf(c_42307,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_38290]) ).
tcf(c_42308,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_38286]) ).
tcf(c_42309,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_38294]) ).
tcf(c_42310,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_38293]) ).
tcf(c_42311,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_9446]) ).
tcf(c_42312,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_36188]) ).
tcf(c_42313,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_36187]) ).
tcf(c_42314,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_36186]) ).
tcf(c_42315,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_36190]) ).
tcf(c_42316,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_36189]) ).
tcf(c_42317,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_36182]) ).
tcf(c_42318,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_9445]) ).
tcf(c_42319,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_33650]) ).
tcf(c_42320,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_33649]) ).
tcf(c_42321,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_33648]) ).
tcf(c_42322,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_33644]) ).
tcf(c_42323,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_33652]) ).
tcf(c_42324,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_33651]) ).
tcf(c_42325,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0),sz00) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_1942]) ).
tcf(c_42326,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_31625]) ).
tcf(c_42327,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_31624]) ).
tcf(c_42328,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_31627]) ).
tcf(c_42329,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_31626]) ).
tcf(c_42330,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_31623]) ).
tcf(c_42331,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_31619]) ).
tcf(c_42332,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0)) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_1941]) ).
tcf(c_42333,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_29595]) ).
tcf(c_42334,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_29594]) ).
tcf(c_42335,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_29593]) ).
tcf(c_42336,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_29597]) ).
tcf(c_42337,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_29596]) ).
tcf(c_42338,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_29589]) ).
tcf(c_42339,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0),sz00) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_1928]) ).
tcf(c_42340,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_27948]) ).
tcf(c_42341,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_27947]) ).
tcf(c_42342,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_27950]) ).
tcf(c_42343,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_27949]) ).
tcf(c_42344,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_27946]) ).
tcf(c_42345,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_27942]) ).
tcf(c_42346,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0)) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_1927]) ).
tcf(c_42347,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_20823]) ).
tcf(c_42348,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_20822]) ).
tcf(c_42349,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_8118]) ).
tcf(c_42350,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_8117]) ).
tcf(c_42351,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_7588]) ).
tcf(c_42352,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_7587]) ).
tcf(c_42353,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_7128]) ).
tcf(c_42354,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_7127]) ).
tcf(c_42355,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_6554]) ).
tcf(c_42356,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_6553]) ).
tcf(c_42357,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_6275]) ).
tcf(c_42358,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_6274]) ).
tcf(c_42359,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_6084]) ).
tcf(c_42360,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_6083]) ).
tcf(c_42361,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_5196]) ).
tcf(c_42362,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_5195]) ).
tcf(c_42363,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_4547]) ).
tcf(c_42364,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_4546]) ).
tcf(c_42365,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_4138]) ).
tcf(c_42366,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_4137]) ).
tcf(c_42367,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_3123]) ).
tcf(c_42368,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_3122]) ).
tcf(c_42369,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_2451]) ).
tcf(c_42370,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_2450]) ).
tcf(c_42371,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_2318]) ).
tcf(c_42372,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_2317]) ).
tcf(c_42373,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),xn) = sdtpldt0(sz00,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_42302,c_2222]) ).
tcf(c_42374,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),xm) = sdtpldt0(sz00,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_42302,c_2221]) ).
tcf(c_42375,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),xl) = sdtpldt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_42302,c_22756]) ).
tcf(c_42376,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42302,c_12800]) ).
tcf(c_42377,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42302,c_12799]) ).
tcf(c_42378,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42302,c_12798]) ).
tcf(c_42379,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42302,c_12802]) ).
tcf(c_42380,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42302,c_12801]) ).
tcf(c_42381,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42302,c_12794]) ).
tcf(c_42382,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_1940]) ).
tcf(c_42383,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_11833]) ).
tcf(c_42384,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_11832]) ).
tcf(c_42385,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_11831]) ).
tcf(c_42386,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_11835]) ).
tcf(c_42387,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_11834]) ).
tcf(c_42388,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_11827]) ).
tcf(c_42389,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_1939]) ).
tcf(c_42390,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42302,c_10803]) ).
tcf(c_42391,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42302,c_10802]) ).
tcf(c_42392,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42302,c_10805]) ).
tcf(c_42393,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42302,c_10804]) ).
tcf(c_42394,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42302,c_10801]) ).
tcf(c_42395,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42302,c_10797]) ).
tcf(c_42396,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_1926]) ).
tcf(c_42397,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_9189]) ).
tcf(c_42398,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_9188]) ).
tcf(c_42399,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_9191]) ).
tcf(c_42400,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_9190]) ).
tcf(c_42401,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_42302,c_9187]) ).
tcf(c_42403,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_1925]) ).
tcf(c_42404,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_2009]) ).
tcf(c_42405,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_2008]) ).
tcf(c_42406,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_2007]) ).
tcf(c_42407,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_2004]) ).
tcf(c_42408,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_42302,c_5044]) ).
tcf(c_42409,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_42302,c_5043]) ).
tcf(c_42410,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_42302,c_4926]) ).
tcf(c_42411,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_42302,c_4925]) ).
tcf(c_42412,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_42302,c_4833]) ).
tcf(c_42413,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_42302,c_4832]) ).
tcf(c_42414,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_42302,c_4774]) ).
tcf(c_42415,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_42302,c_4773]) ).
tcf(c_42416,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_1972]) ).
tcf(c_42417,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_1971]) ).
tcf(c_42418,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_3527]) ).
tcf(c_42419,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_3526]) ).
tcf(c_42420,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_3478]) ).
tcf(c_42421,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_3477]) ).
tcf(c_42422,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_1970]) ).
tcf(c_42423,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_42302,c_2777]) ).
tcf(c_42424,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_42302,c_2776]) ).
tcf(c_42425,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xm))),sdtasdt0(X1,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_65]) ).
tcf(c_42426,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0),sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_64]) ).
tcf(c_42427,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_42302,c_2727]) ).
tcf(c_42428,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(xl,xm))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_42302,c_2726]) ).
tcf(c_42429,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(xl,xm))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_42302,c_2654]) ).
tcf(c_42430,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(xl,xm))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_42302,c_2653]) ).
tcf(c_42431,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(sz00,sdtpldt0(xl,xm))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_42302,c_2626]) ).
tcf(c_42432,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(sz00,sdtpldt0(xl,xm))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm)))),
inference(superposition,[status(thm)],[c_42302,c_2625]) ).
tcf(c_42433,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_2298]) ).
tcf(c_42434,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_2297]) ).
tcf(c_42435,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_2258]) ).
tcf(c_42436,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_2257]) ).
tcf(c_42437,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sdtsldt0(xm,xl)) = sdtpldt0(sz00,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_42302,c_2224]) ).
tcf(c_42438,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),sdtsldt0(xn,xl)) = sdtpldt0(sz00,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_42302,c_2223]) ).
tcf(c_42439,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_59]) ).
tcf(c_42440,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_55]) ).
tcf(c_42441,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0),sdtpldt0(sz00,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_161]) ).
tcf(c_42442,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_2011]) ).
tcf(c_42443,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_2010]) ).
tcf(c_42444,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_1974]) ).
tcf(c_42445,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_1973]) ).
tcf(c_42446,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_42302,c_1967]) ).
tcf(c_42447,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_58]) ).
tcf(c_42448,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42302,c_54]) ).
tcf(c_42833,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(xm,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5128,c_71]) ).
tcf(c_42834,plain,
( ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(xm,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5128,c_70]) ).
tcf(c_42835,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_5128,c_52]) ).
tcf(c_42836,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sdtpldt0(sz00,xl),X0) != sdtpldt0(xm,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_5128,c_66]) ).
tcf(c_42837,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(xm,sdtpldt0(sz00,xl)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_5128,c_67]) ).
tcf(c_42878,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(xm,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5129,c_71]) ).
tcf(c_42879,plain,
( ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(xm,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5129,c_70]) ).
tcf(c_42880,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_5129,c_52]) ).
tcf(c_42881,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sdtpldt0(sz00,xm),X0) != sdtpldt0(xm,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_5129,c_66]) ).
tcf(c_42882,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(xm,sdtpldt0(sz00,xm)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_5129,c_67]) ).
tcf(c_42888,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(xm,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5130,c_71]) ).
tcf(c_42889,plain,
( ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(xm,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5130,c_70]) ).
tcf(c_42890,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_5130,c_52]) ).
tcf(c_42891,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sdtpldt0(sz00,xn),X0) != sdtpldt0(xm,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_5130,c_66]) ).
tcf(c_42892,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(xm,sdtpldt0(sz00,xn)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_5130,c_67]) ).
tcf(c_42897,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5131,c_71]) ).
tcf(c_42898,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_5131,c_70]) ).
tcf(c_42899,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_5131,c_52]) ).
tcf(c_42900,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xm,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_5131,c_66]) ).
tcf(c_42901,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_5131,c_67]) ).
tcf(c_42938,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_40622,c_68]) ).
tcf(c_42945,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_40623,c_68]) ).
tcf(c_42953,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_40629,c_69]) ).
tcf(c_42960,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_40630,c_69]) ).
tcf(c_42966,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_40635,c_68]) ).
tcf(c_42973,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_40636,c_68]) ).
tcf(c_42981,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_40642,c_69]) ).
tcf(c_42988,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_40643,c_69]) ).
tcf(c_42989,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_40428,c_103,c_101,c_4086,c_40428]) ).
tcf(c_42991,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_38292]) ).
tcf(c_42992,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_38291]) ).
tcf(c_42993,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_38290]) ).
tcf(c_42994,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_38286]) ).
tcf(c_42995,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_38294]) ).
tcf(c_42996,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_38293]) ).
tcf(c_42997,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_9446]) ).
tcf(c_42998,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_36188]) ).
tcf(c_42999,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_36187]) ).
tcf(c_43000,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_36186]) ).
tcf(c_43001,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_36190]) ).
tcf(c_43002,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_36189]) ).
tcf(c_43003,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_36182]) ).
tcf(c_43004,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0))) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_9445]) ).
tcf(c_43005,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_33650]) ).
tcf(c_43006,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_33649]) ).
tcf(c_43007,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_33648]) ).
tcf(c_43008,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_33644]) ).
tcf(c_43009,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_33652]) ).
tcf(c_43010,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_33651]) ).
tcf(c_43011,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_1942]) ).
tcf(c_43012,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_31625]) ).
tcf(c_43013,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_31624]) ).
tcf(c_43014,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_31627]) ).
tcf(c_43015,plain,
sdtpldt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_31626]) ).
tcf(c_43016,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_31623]) ).
tcf(c_43017,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_31619]) ).
tcf(c_43018,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_1941]) ).
tcf(c_43019,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_29595]) ).
tcf(c_43020,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_29594]) ).
tcf(c_43021,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_29593]) ).
tcf(c_43022,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_29597]) ).
tcf(c_43023,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_29596]) ).
tcf(c_43024,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_29589]) ).
tcf(c_43025,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_1928]) ).
tcf(c_43026,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_27948]) ).
tcf(c_43027,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_27947]) ).
tcf(c_43028,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_27950]) ).
tcf(c_43029,plain,
sdtpldt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_27949]) ).
tcf(c_43030,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_27946]) ).
tcf(c_43031,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_27942]) ).
tcf(c_43032,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_1927]) ).
tcf(c_43033,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xl)) = sdtpldt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_20823]) ).
tcf(c_43034,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xl)) = sdtasdt0(sdtpldt0(xl,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_20822]) ).
tcf(c_43035,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(xm,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_8118]) ).
tcf(c_43036,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(xm,xn)) = sdtasdt0(sdtasdt0(xm,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_8117]) ).
tcf(c_43037,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(xl,xn)) = sdtpldt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_7588]) ).
tcf(c_43038,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(xl,xn)) = sdtasdt0(sdtasdt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_7587]) ).
tcf(c_43039,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(xl,xm)) = sdtpldt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_7128]) ).
tcf(c_43040,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(xl,xm)) = sdtasdt0(sdtasdt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_7127]) ).
tcf(c_43041,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(sz00,xn)) = sdtpldt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_6554]) ).
tcf(c_43042,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(sz00,xn)) = sdtasdt0(sdtasdt0(sz00,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_6553]) ).
tcf(c_43043,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(sz00,xm)) = sdtpldt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_6275]) ).
tcf(c_43044,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(sz00,xm)) = sdtasdt0(sdtasdt0(sz00,xm),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_6274]) ).
tcf(c_43045,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(sz00,xl)) = sdtpldt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_6084]) ).
tcf(c_43046,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(sz00,xl)) = sdtasdt0(sdtasdt0(sz00,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_6083]) ).
tcf(c_43047,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xm,xn)) = sdtpldt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_5196]) ).
tcf(c_43048,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xm,xn)) = sdtasdt0(sdtpldt0(xm,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_5195]) ).
tcf(c_43049,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) = sdtpldt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_4547]) ).
tcf(c_43050,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xn)) = sdtasdt0(sdtpldt0(xl,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_4546]) ).
tcf(c_43051,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xm)) = sdtpldt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_4138]) ).
tcf(c_43052,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(xl,xm)) = sdtasdt0(sdtpldt0(xl,xm),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_4137]) ).
tcf(c_43053,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sz00,xn)) = sdtpldt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_3123]) ).
tcf(c_43054,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sz00,xn)) = sdtasdt0(sdtpldt0(sz00,xn),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_3122]) ).
tcf(c_43055,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sz00,xm)) = sdtpldt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_2451]) ).
tcf(c_43056,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sz00,xm)) = sdtasdt0(sdtpldt0(sz00,xm),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_2450]) ).
tcf(c_43057,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sz00,xl)) = sdtpldt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_2318]) ).
tcf(c_43058,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(sz00,xl)) = sdtasdt0(sdtpldt0(sz00,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_2317]) ).
tcf(c_43059,plain,
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),xn) = sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_42989,c_2222]) ).
tcf(c_43060,plain,
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),xm) = sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_42989,c_2221]) ).
tcf(c_43061,plain,
sdtsldt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),xl) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_42989,c_22756]) ).
tcf(c_43062,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42989,c_12800]) ).
tcf(c_43063,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42989,c_12799]) ).
tcf(c_43064,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42989,c_12798]) ).
tcf(c_43065,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42989,c_12802]) ).
tcf(c_43066,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42989,c_12801]) ).
tcf(c_43067,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42989,c_12794]) ).
tcf(c_43068,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_1940]) ).
tcf(c_43069,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_11833]) ).
tcf(c_43070,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_11832]) ).
tcf(c_43071,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_11831]) ).
tcf(c_43072,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_11835]) ).
tcf(c_43073,plain,
sdtasdt0(sz00,sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_11834]) ).
tcf(c_43074,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_11827]) ).
tcf(c_43075,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_1939]) ).
tcf(c_43076,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42989,c_10803]) ).
tcf(c_43077,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42989,c_10802]) ).
tcf(c_43078,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42989,c_10805]) ).
tcf(c_43079,plain,
sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42989,c_10804]) ).
tcf(c_43080,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42989,c_10801]) ).
tcf(c_43081,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_42989,c_10797]) ).
tcf(c_43082,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_1926]) ).
tcf(c_43083,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_9189]) ).
tcf(c_43084,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_9188]) ).
tcf(c_43085,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_9191]) ).
tcf(c_43086,plain,
sdtasdt0(sz00,sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_9190]) ).
tcf(c_43087,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_42989,c_9187]) ).
tcf(c_43089,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_1925]) ).
tcf(c_43090,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_2009]) ).
tcf(c_43091,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_2008]) ).
tcf(c_43092,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_2007]) ).
tcf(c_43093,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_2004]) ).
tcf(c_43094,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_42989,c_5044]) ).
tcf(c_43095,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sdtsldt0(xm,xl)),
inference(superposition,[status(thm)],[c_42989,c_5043]) ).
tcf(c_43096,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_42989,c_4926]) ).
tcf(c_43097,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sdtsldt0(xn,xl)),
inference(superposition,[status(thm)],[c_42989,c_4925]) ).
tcf(c_43098,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_42989,c_4833]) ).
tcf(c_43099,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_42989,c_4832]) ).
tcf(c_43100,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_42989,c_4774]) ).
tcf(c_43101,plain,
sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_42989,c_4773]) ).
tcf(c_43102,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_1972]) ).
tcf(c_43103,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_1971]) ).
tcf(c_43104,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(xm,xl)),sdtasdt0(X0,sdtsldt0(xm,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtsldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_3527]) ).
tcf(c_43105,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(xn,xl)),sdtasdt0(X0,sdtsldt0(xn,xl))) = sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtsldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_3526]) ).
tcf(c_43106,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sdtasdt0(sdtsldt0(xm,xl),X0)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_3478]) ).
tcf(c_43107,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sdtasdt0(sdtsldt0(xn,xl),X0)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_3477]) ).
tcf(c_43108,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_1970]) ).
tcf(c_43109,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_42989,c_2777]) ).
tcf(c_43110,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_42989,c_2776]) ).
tcf(c_43111,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))),sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_65]) ).
tcf(c_43112,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X1)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_64]) ).
tcf(c_43113,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_42989,c_2727]) ).
tcf(c_43114,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_42989,c_2726]) ).
tcf(c_43115,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_42989,c_2654]) ).
tcf(c_43116,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_42989,c_2653]) ).
tcf(c_43117,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xm,xl)),sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_42989,c_2626]) ).
tcf(c_43118,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtsldt0(xn,xl)),sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn)))),
inference(superposition,[status(thm)],[c_42989,c_2625]) ).
tcf(c_43119,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),X0) = sdtasdt0(sdtsldt0(xm,xl),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_2298]) ).
tcf(c_43120,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),X0) = sdtasdt0(sdtsldt0(xn,xl),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_2297]) ).
tcf(c_43121,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),X0) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_2258]) ).
tcf(c_43122,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),X0) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_2257]) ).
tcf(c_43123,plain,
( ( sdtsldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sdtsldt0(xm,xl)) = sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_42989,c_2224]) ).
tcf(c_43124,plain,
( ( sdtsldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),sdtsldt0(xn,xl)) = sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_42989,c_2223]) ).
tcf(c_43125,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_59]) ).
tcf(c_43126,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_55]) ).
tcf(c_43127,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sdtpldt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_161]) ).
tcf(c_43128,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_2011]) ).
tcf(c_43129,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(xn,xl)) = sdtasdt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_2010]) ).
tcf(c_43130,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(xm,xl)) = sdtpldt0(sdtsldt0(xm,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_1974]) ).
tcf(c_43131,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sdtsldt0(xn,xl)) = sdtpldt0(sdtsldt0(xn,xl),sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_1973]) ).
tcf(c_43132,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_42989,c_1967]) ).
tcf(c_43133,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_58]) ).
tcf(c_43134,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_42989,c_54]) ).
tcf(c_43449,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_43134,c_43133,c_43132,c_43131,c_43130,c_43129,c_43128,c_43127,c_43126,c_43125,c_43124,c_43123,c_43122,c_43121,c_43120,c_43119,c_43118,c_43117,c_43116,c_43115,c_43114,c_43113,c_43112,c_43111,c_43110,c_43109,c_43108,c_43107,c_43106,c_43105,c_43104,c_43103,c_43102,c_43101,c_43100,c_43099,c_43098,c_43097,c_43096,c_43095,c_43094,c_43093,c_43092,c_43091,c_43090,c_43089,c_43087,c_43086,c_43085,c_43084,c_43083,c_43082,c_43081,c_43080,c_43079,c_43078,c_43077,c_43076,c_43075,c_43074,c_43073,c_43072,c_43071,c_43070,c_43069,c_43068,c_43067,c_43066,c_43065,c_43064,c_43063,c_43062,c_43061,c_43060,c_43059,c_43058,c_43057,c_43056,c_43055,c_43054,c_43053,c_43052,c_43051,c_43050,c_43049,c_43048,c_43047,c_43046,c_43045,c_43044,c_43043,c_43042,c_43041,c_43040,c_43039,c_43038,c_43037,c_43036,c_43035,c_43034,c_43033,c_43032,c_43031,c_43030,c_43029,c_43028,c_43027,c_43026,c_43025,c_43024,c_43023,c_43022,c_43021,c_43020,c_43019,c_43018,c_43017,c_43016,c_43015,c_43014,c_43013,c_43012,c_43011,c_43010,c_43009,c_43008,c_43007,c_43006,c_43005,c_43004,c_43003,c_43002,c_43001,c_43000,c_42999,c_42998,c_42997,c_42996,c_42995,c_42994,c_42993,c_42992,c_42991,c_42989,c_42988,c_42981,c_42973,c_42966,c_42960,c_42953,c_42945,c_42938,c_42899,c_42898,c_42897,c_42900,c_42901,c_42890,c_42889,c_42888,c_42891,c_42892,c_42880,c_42879,c_42878,c_42881,c_42882,c_42835,c_42834,c_42833,c_42836,c_42837,c_42448,c_42447,c_42446,c_42445,c_42444,c_42443,c_42442,c_42441,c_42440,c_42439,c_42438,c_42437,c_42436,c_42435,c_42434,c_42433,c_42432,c_42431,c_42430,c_42429,c_42428,c_42427,c_42426,c_42425,c_42424,c_42423,c_42422,c_42421,c_42420,c_42419,c_42418,c_42417,c_42416,c_42415,c_42414,c_42413,c_42412,c_42411,c_42410,c_42409,c_42408,c_42407,c_42406,c_42405,c_42404,c_42403,c_42401,c_42400,c_42399,c_42398,c_42397,c_42396,c_42395,c_42394,c_42393,c_42392,c_42391,c_42390,c_42389,c_42388,c_42387,c_42386,c_42385,c_42384,c_42383,c_42382,c_42381,c_42380,c_42379,c_42378,c_42377,c_42376,c_42375,c_42374,c_42373,c_42372,c_42371,c_42370,c_42369,c_42368,c_42367,c_42366,c_42365,c_42364,c_42363,c_42362,c_42361,c_42360,c_42359,c_42358,c_42357,c_42356,c_42355,c_42354,c_42353,c_42352,c_42351,c_42350,c_42349,c_42348,c_42347,c_42346,c_42345,c_42344,c_42343,c_42342,c_42341,c_42340,c_42339,c_42338,c_42337,c_42336,c_42335,c_42334,c_42333,c_42332,c_42331,c_42330,c_42329,c_42328,c_42327,c_42326,c_42325,c_42324,c_42323,c_42322,c_42321,c_42320,c_42319,c_42318,c_42317,c_42316,c_42315,c_42314,c_42313,c_42312,c_42311,c_42310,c_42309,c_42308,c_42307,c_42306,c_42305,c_42302,c_41803,c_41802,c_41801,c_41800,c_41799,c_41798,c_41797,c_41796,c_41795,c_41794,c_41793,c_41792,c_41791,c_41790,c_41789,c_41788,c_41787,c_41786,c_41785,c_41784,c_41783,c_41782,c_41781,c_41780,c_41779,c_41778,c_41777,c_41776,c_41775,c_41774,c_41773,c_41772,c_41771,c_41770,c_41769,c_41768,c_41767,c_41766,c_41765,c_41764,c_41763,c_41762,c_41761,c_41760,c_41759,c_41758,c_41756,c_41755,c_41754,c_41753,c_41752,c_41751,c_41750,c_41749,c_41748,c_41747,c_41746,c_41745,c_41744,c_41743,c_41742,c_41741,c_41740,c_41739,c_41738,c_41737,c_41736,c_41735,c_41734,c_41733,c_41732,c_41731,c_41730,c_41729,c_41728,c_41727,c_41726,c_41725,c_41724,c_41723,c_41722,c_41721,c_41720,c_41719,c_41718,c_41717,c_41716,c_41715,c_41714,c_41713,c_41712,c_41711,c_41710,c_41709,c_41708,c_41707,c_41706,c_41705,c_41704,c_41703,c_41702,c_41701,c_41700,c_41699,c_41698,c_41697,c_41696,c_41695,c_41694,c_41693,c_41692,c_41691,c_41690,c_41689,c_41688,c_41687,c_41686,c_41685,c_41684,c_41683,c_41682,c_41681,c_41680,c_41679,c_41678,c_41677,c_41676,c_41675,c_41674,c_41673,c_41672,c_41671,c_41670,c_41669,c_41668,c_41667,c_41666,c_41665,c_41664,c_41663,c_41662,c_41661,c_41660,c_41658,c_41182,c_41181,c_41180,c_41179,c_41178,c_41177,c_41176,c_41175,c_41174,c_41173,c_41172,c_41171,c_41170,c_41169,c_41168,c_41167,c_41166,c_41165,c_41164,c_41163,c_41162,c_41161,c_41160,c_41159,c_41158,c_41157,c_41156,c_41155,c_41154,c_41153,c_41152,c_41151,c_41150,c_41149,c_41148,c_41147,c_41146,c_41145,c_41144,c_41143,c_41142,c_41141,c_41140,c_41139,c_41138,c_41137,c_41135,c_41134,c_41133,c_41132,c_41131,c_41130,c_41129,c_41128,c_41127,c_41126,c_41125,c_41124,c_41123,c_41122,c_41121,c_41120,c_41119,c_41118,c_41117,c_41116,c_41115,c_41114,c_41113,c_41112,c_41111,c_41110,c_41109,c_41108,c_41107,c_41106,c_41105,c_41104,c_41103,c_41102,c_41101,c_41100,c_41099,c_41098,c_41097,c_41096,c_41095,c_41094,c_41093,c_41092,c_41091,c_41090,c_41089,c_41088,c_41087,c_41086,c_41085,c_41084,c_41083,c_41082,c_41081,c_41080,c_41079,c_41078,c_41077,c_41076,c_41075,c_41074,c_41073,c_41072,c_41071,c_41070,c_41069,c_41068,c_41067,c_41066,c_41065,c_41064,c_41063,c_41062,c_41061,c_41060,c_41059,c_41058,c_41057,c_41056,c_41055,c_41054,c_41053,c_41052,c_41051,c_41050,c_41049,c_41048,c_41047,c_41046,c_41045,c_41044,c_41043,c_41042,c_41041,c_41040,c_41039,c_41036,c_40691,c_40690,c_40689,c_40688,c_40687,c_40686,c_40685,c_40684,c_40683,c_40682,c_40681,c_40680,c_40679,c_40678,c_40677,c_40676,c_40675,c_40674,c_40673,c_40672,c_40671,c_40670,c_40669,c_40668,c_40667,c_40666,c_40665,c_40664,c_40663,c_40662,c_40661,c_40660,c_40659,c_40658,c_40657,c_40656,c_40655,c_40654,c_40653,c_40652,c_40651,c_40650,c_40649,c_40648,c_40647,c_40646,c_40644,c_40643,c_40642,c_40641,c_40640,c_40639,c_40638,c_40637,c_40636,c_40635,c_40634,c_40633,c_40632,c_40631,c_40630,c_40629,c_40628,c_40627,c_40626,c_40625,c_40624,c_40623,c_40622,c_40621,c_40620,c_40619,c_40618,c_40617,c_40616,c_40615,c_40614,c_40613,c_40612,c_40611,c_40610,c_40609,c_40608,c_40607,c_40606,c_40605,c_40604,c_40603,c_40602,c_40601,c_40600,c_40599,c_40598,c_40597,c_40596,c_40595,c_40594,c_40593,c_40592,c_40591,c_40590,c_40589,c_40588,c_40587,c_40586,c_40585,c_40584,c_40583,c_40582,c_40581,c_40580,c_40579,c_40578,c_40577,c_40576,c_40575,c_40574,c_40573,c_40572,c_40571,c_40570,c_40569,c_40568,c_40567,c_40566,c_40565,c_40564,c_40563,c_40562,c_40561,c_40560,c_40559,c_40558,c_40557,c_40556,c_40555,c_40554,c_40553,c_40552,c_40551,c_40550,c_40549,c_40548,c_40545,c_40544,c_40537,c_40531,c_40508,c_40502,c_40501,c_40495,c_40494,c_40488,c_40487,c_40480,c_40479,c_40472,c_40449,c_40443,c_40438,c_40437,c_40439,c_40440,c_40428,c_40427,c_40426,c_40429,c_40430,c_40419,c_40418,c_40420,c_40421,c_40413,c_40406,c_40308,c_40300,c_40174,c_40173,c_40172,c_40171,c_40170,c_40169,c_40168,c_40167,c_40166,c_40165,c_40164,c_40163,c_40162,c_40161,c_40160,c_40159,c_40158,c_40157,c_40156,c_40155,c_40154,c_40153,c_40152,c_40151,c_40150,c_40149,c_40148,c_40147,c_40146,c_40145,c_40144,c_40143,c_40142,c_40141,c_40140,c_40137,c_40136,c_40135,c_40134,c_40133,c_40132,c_40131,c_40130,c_40123,c_40122,c_40116,c_40115,c_40108,c_40107,c_40100,c_40099,c_40092,c_40050,c_40044,c_40020,c_40014,c_40013,c_40007,c_39984,c_39983,c_39982,c_39985,c_39986,c_39975,c_39974,c_39973,c_39976,c_39977,c_39965,c_39964,c_39963,c_39966,c_39967,c_39959,c_39952,c_39944,c_39728,c_39727,c_39726,c_39725,c_39724,c_39723,c_39722,c_39721,c_39720,c_39719,c_39718,c_39717,c_39716,c_39715,c_39714,c_39713,c_39712,c_39711,c_39710,c_39709,c_39708,c_39707,c_39706,c_39705,c_39704,c_39703,c_39702,c_39701,c_39700,c_39699,c_39698,c_39697,c_39696,c_39695,c_39694,c_39690,c_39689,c_39688,c_39687,c_39686,c_39685,c_39684,c_39677,c_39671,c_39662,c_39656,c_39651,c_39644,c_39643,c_39636,c_39625,c_39619,c_39610,c_39603,c_39602,c_39596,c_39595,c_39588,c_39585,c_39578,c_39572,c_39447,c_39446,c_39445,c_39444,c_39443,c_39442,c_39441,c_39440,c_39439,c_39438,c_39437,c_39436,c_39435,c_39434,c_39433,c_39432,c_39431,c_39430,c_39429,c_39428,c_39427,c_39426,c_39425,c_39424,c_39423,c_39422,c_39421,c_39420,c_39419,c_39418,c_39417,c_39416,c_39415,c_39414,c_39413,c_39408,c_39407,c_39406,c_39405,c_39404,c_39403,c_39232,c_39231,c_39230,c_39229,c_39228,c_39227,c_39226,c_39225,c_39224,c_39223,c_39222,c_39221,c_39220,c_39219,c_39218,c_39217,c_39216,c_39215,c_39214,c_39213,c_39212,c_39211,c_39210,c_39209,c_39208,c_39207,c_39206,c_39205,c_39204,c_39203,c_39202,c_39201,c_39200,c_39199,c_39198,c_39192,c_39191,c_39190,c_39189,c_39188,c_39181,c_39150,c_39143,c_39142,c_39136,c_39135,c_39129,c_39082,c_39076,c_39007,c_39001,c_38979,c_38973,c_38956,c_38940,c_38927,c_38911,c_38904,c_38899,c_38868,c_38846,c_38837,c_38820,c_38812,c_38793,c_38784,c_38708,c_38707,c_38706,c_38705,c_38704,c_38703,c_38702,c_38701,c_38700,c_38699,c_38698,c_38697,c_38696,c_38695,c_38694,c_38693,c_38692,c_38691,c_38690,c_38689,c_38688,c_38687,c_38686,c_38685,c_38684,c_38683,c_38682,c_38681,c_38680,c_38679,c_38678,c_38677,c_38676,c_38675,c_38674,c_38673,c_38671,c_38670,c_38669,c_38668,c_38667,c_38666,c_38665,c_38664,c_38656,c_38542,c_38541,c_38540,c_38539,c_38538,c_38537,c_38536,c_38535,c_38534,c_38533,c_38532,c_38531,c_38530,c_38529,c_38528,c_38527,c_38526,c_38525,c_38524,c_38523,c_38522,c_38521,c_38520,c_38519,c_38518,c_38517,c_38516,c_38515,c_38514,c_38513,c_38512,c_38511,c_38510,c_38509,c_38508,c_38507,c_38506,c_38505,c_38504,c_38503,c_38502,c_38501,c_38500,c_38499,c_38497,c_38491,c_38479,c_38329,c_38328,c_38327,c_38326,c_38325,c_38324,c_38323,c_38322,c_38321,c_38320,c_38319,c_38318,c_38317,c_38316,c_38315,c_38314,c_38313,c_38312,c_38311,c_38310,c_38309,c_38308,c_38307,c_38306,c_38305,c_38304,c_38303,c_38302,c_38301,c_38300,c_38299,c_38298,c_38297,c_38296,c_38295,c_38294,c_38293,c_38292,c_38291,c_38290,c_38289,c_38288,c_38287,c_38286,c_38285,c_38278,c_38270,c_38262,c_38255,c_38254,c_38247,c_38246,c_38240,c_38239,c_38232,c_38173,c_38167,c_38166,c_38159,c_38158,c_38151,c_38150,c_38143,c_38142,c_38136,c_38122,c_38117,c_37845,c_37844,c_37843,c_37842,c_37841,c_37840,c_37839,c_37838,c_37837,c_37836,c_37835,c_37834,c_37833,c_37832,c_37831,c_37830,c_37829,c_37828,c_37827,c_37826,c_37825,c_37824,c_37823,c_37822,c_37821,c_37820,c_37819,c_37818,c_37817,c_37816,c_37815,c_37814,c_37813,c_37812,c_37811,c_37808,c_37807,c_37806,c_37805,c_37804,c_37803,c_37802,c_37801,c_37794,c_37786,c_37780,c_37779,c_37773,c_37772,c_37766,c_37765,c_37759,c_37758,c_37752,c_37751,c_37744,c_37743,c_37736,c_37708,c_37702,c_37689,c_37683,c_37677,c_37671,c_37625,c_37543,c_37542,c_37541,c_37540,c_37539,c_37538,c_37537,c_37536,c_37535,c_37534,c_37533,c_37532,c_37531,c_37530,c_37529,c_37528,c_37527,c_37526,c_37525,c_37524,c_37523,c_37522,c_37521,c_37520,c_37519,c_37518,c_37517,c_37516,c_37515,c_37514,c_37513,c_37512,c_37511,c_37510,c_37509,c_37505,c_37504,c_37503,c_37502,c_37501,c_37500,c_37470,c_37380,c_37379,c_37378,c_37377,c_37376,c_37375,c_37374,c_37373,c_37372,c_37371,c_37370,c_37369,c_37368,c_37367,c_37366,c_37365,c_37364,c_37363,c_37362,c_37361,c_37360,c_37359,c_37358,c_37357,c_37356,c_37355,c_37354,c_37353,c_37352,c_37351,c_37350,c_37349,c_37348,c_37346,c_37340,c_37339,c_37338,c_37337,c_37336,c_37329,c_37328,c_37322,c_37321,c_37314,c_37313,c_37306,c_37259,c_37252,c_37251,c_37245,c_37244,c_37195,c_37186,c_37180,c_37173,c_37166,c_37161,c_37153,c_37144,c_37136,c_37128,c_37120,c_37112,c_37103,c_36961,c_36960,c_36959,c_36958,c_36957,c_36956,c_36955,c_36954,c_36953,c_36952,c_36951,c_36950,c_36949,c_36948,c_36947,c_36946,c_36945,c_36944,c_36943,c_36942,c_36941,c_36940,c_36939,c_36938,c_36937,c_36936,c_36935,c_36934,c_36933,c_36932,c_36931,c_36930,c_36929,c_36928,c_36927,c_36926,c_36924,c_36923,c_36922,c_36921,c_36920,c_36919,c_36918,c_36917,c_36909,c_36817,c_36816,c_36815,c_36814,c_36813,c_36812,c_36811,c_36810,c_36809,c_36808,c_36807,c_36806,c_36805,c_36804,c_36803,c_36802,c_36801,c_36800,c_36799,c_36798,c_36797,c_36796,c_36795,c_36794,c_36793,c_36792,c_36791,c_36790,c_36789,c_36788,c_36787,c_36786,c_36785,c_36784,c_36783,c_36782,c_36781,c_36780,c_36779,c_36778,c_36777,c_36776,c_36775,c_36774,c_36772,c_36765,c_36759,c_36752,c_36444,c_36443,c_36442,c_36441,c_36440,c_36439,c_36438,c_36437,c_36436,c_36435,c_36434,c_36433,c_36432,c_36431,c_36430,c_36429,c_36428,c_36427,c_36426,c_36425,c_36424,c_36423,c_36422,c_36421,c_36420,c_36419,c_36418,c_36417,c_36416,c_36415,c_36414,c_36410,c_36404,c_36403,c_36402,c_36401,c_36225,c_36224,c_36223,c_36222,c_36221,c_36220,c_36219,c_36218,c_36217,c_36216,c_36215,c_36214,c_36213,c_36212,c_36211,c_36210,c_36209,c_36208,c_36207,c_36206,c_36205,c_36204,c_36203,c_36202,c_36201,c_36200,c_36199,c_36198,c_36197,c_36196,c_36195,c_36194,c_36193,c_36192,c_36191,c_36190,c_36189,c_36188,c_36187,c_36186,c_36185,c_36184,c_36183,c_36182,c_36180,c_36181,c_36173,c_36174,c_36165,c_36163,c_36160,c_36159,c_36158,c_36152,c_36121,c_36115,c_36109,c_36070,c_36039,c_36033,c_35963,c_35964,c_35955,c_35956,c_35850,c_35849,c_35848,c_35847,c_35846,c_35845,c_35844,c_35843,c_35842,c_35841,c_35840,c_35839,c_35838,c_35837,c_35836,c_35835,c_35834,c_35833,c_35832,c_35831,c_35830,c_35829,c_35828,c_35827,c_35826,c_35825,c_35824,c_35823,c_35822,c_35821,c_35820,c_35819,c_35818,c_35817,c_35816,c_35813,c_35812,c_35811,c_35810,c_35809,c_35808,c_35807,c_35805,c_35806,c_35799,c_35793,c_35786,c_35780,c_35228,c_35227,c_35226,c_35225,c_35224,c_35222,c_35221,c_35220,c_35219,c_35218,c_35217,c_35216,c_35215,c_35214,c_35213,c_35212,c_35211,c_35210,c_35209,c_35208,c_35207,c_35206,c_35205,c_35204,c_35203,c_35202,c_35201,c_35200,c_35199,c_35198,c_35197,c_35196,c_35195,c_35194,c_35193,c_35192,c_35191,c_35190,c_35189,c_35188,c_35187,c_35186,c_35185,c_35184,c_35183,c_35182,c_35181,c_35180,c_35179,c_35178,c_35177,c_35176,c_35175,c_35174,c_35173,c_35172,c_35171,c_35170,c_35169,c_35168,c_35167,c_35166,c_35165,c_35164,c_35163,c_35162,c_35161,c_35160,c_35159,c_35158,c_35157,c_35156,c_35155,c_35154,c_35153,c_35152,c_35151,c_35150,c_35149,c_35148,c_35147,c_35146,c_35145,c_35144,c_35143,c_35142,c_35141,c_35140,c_35139,c_35138,c_35137,c_35136,c_35135,c_35134,c_35133,c_35132,c_35131,c_35130,c_35129,c_35128,c_35127,c_35126,c_35125,c_35124,c_35123,c_35122,c_35121,c_35120,c_35119,c_35118,c_35117,c_35116,c_35115,c_35114,c_35113,c_35112,c_35111,c_35110,c_35109,c_35108,c_35107,c_35106,c_35105,c_35104,c_35103,c_35102,c_35101,c_35100,c_35098,c_35097,c_35091,c_35084,c_35078,c_35072,c_35065,c_35058,c_35052,c_35053,c_35044,c_35045,c_34922,c_34921,c_34920,c_34919,c_34918,c_34917,c_34916,c_34915,c_34914,c_34913,c_34912,c_34911,c_34910,c_34909,c_34908,c_34907,c_34906,c_34905,c_34904,c_34903,c_34902,c_34901,c_34900,c_34899,c_34898,c_34897,c_34896,c_34895,c_34894,c_34893,c_34892,c_34891,c_34890,c_34889,c_34885,c_34884,c_34883,c_34882,c_34881,c_34880,c_34878,c_34879,c_34871,c_34866,c_34830,c_34831,c_34822,c_34823,c_34814,c_34815,c_34806,c_34807,c_34797,c_34798,c_34789,c_34790,c_34781,c_34774,c_34768,c_34761,c_34754,c_34755,c_34542,c_34541,c_34540,c_34539,c_34538,c_34537,c_34536,c_34535,c_34534,c_34533,c_34532,c_34531,c_34530,c_34529,c_34528,c_34527,c_34526,c_34525,c_34524,c_34523,c_34522,c_34521,c_34520,c_34519,c_34518,c_34517,c_34516,c_34515,c_34514,c_34513,c_34512,c_34511,c_34510,c_34509,c_34504,c_34503,c_34502,c_34501,c_34500,c_34498,c_34499,c_34420,c_34419,c_34418,c_34417,c_34416,c_34415,c_34414,c_34413,c_34412,c_34411,c_34410,c_34409,c_34408,c_34407,c_34406,c_34405,c_34404,c_34403,c_34402,c_34401,c_34400,c_34399,c_34398,c_34397,c_34396,c_34395,c_34394,c_34393,c_34392,c_34391,c_34390,c_34389,c_34388,c_34387,c_34381,c_34380,c_34379,c_34378,c_34376,c_34377,c_34368,c_34369,c_34359,c_34360,c_34309,c_34310,c_34302,c_34303,c_34288,c_34289,c_34212,c_34211,c_34210,c_34209,c_34208,c_34207,c_34206,c_34205,c_34204,c_34203,c_34202,c_34201,c_34200,c_34199,c_34198,c_34197,c_34196,c_34195,c_34194,c_34193,c_34192,c_34191,c_34190,c_34189,c_34188,c_34187,c_34186,c_34185,c_34184,c_34183,c_34182,c_34181,c_34180,c_34179,c_34178,c_34177,c_34176,c_34175,c_34174,c_34173,c_34172,c_34171,c_34170,c_34061,c_34060,c_34059,c_34058,c_34057,c_34056,c_34055,c_34054,c_34053,c_34052,c_34051,c_34050,c_34049,c_34048,c_34047,c_34046,c_34045,c_34044,c_34043,c_34042,c_34041,c_34040,c_34039,c_34038,c_34037,c_34036,c_34035,c_34034,c_34033,c_34032,c_34031,c_34030,c_34029,c_34028,c_34027,c_34026,c_34025,c_34024,c_34023,c_34022,c_34021,c_34020,c_34019,c_34014,c_34007,c_33968,c_33962,c_33686,c_33685,c_33684,c_33683,c_33682,c_33681,c_33680,c_33679,c_33678,c_33677,c_33676,c_33675,c_33674,c_33673,c_33672,c_33671,c_33670,c_33669,c_33668,c_33667,c_33666,c_33665,c_33664,c_33663,c_33662,c_33661,c_33660,c_33659,c_33658,c_33657,c_33656,c_33655,c_33654,c_33653,c_33652,c_33651,c_33650,c_33649,c_33648,c_33647,c_33646,c_33645,c_33644,c_33641,c_33642,c_33633,c_33634,c_33624,c_33625,c_33607,c_33576,c_33570,c_33313,c_33312,c_33311,c_33309,c_33308,c_33307,c_33306,c_33305,c_33304,c_33303,c_33302,c_33301,c_33300,c_33299,c_33298,c_33297,c_33296,c_33295,c_33294,c_33293,c_33292,c_33291,c_33290,c_33289,c_33288,c_33287,c_33286,c_33285,c_33284,c_33283,c_33282,c_33281,c_33280,c_33279,c_33278,c_33277,c_33276,c_33275,c_33274,c_33273,c_33272,c_33271,c_33270,c_33269,c_33268,c_33267,c_33266,c_33265,c_33264,c_33263,c_33262,c_33261,c_33260,c_33259,c_33258,c_33257,c_33256,c_33255,c_33254,c_33253,c_33252,c_33251,c_33250,c_33249,c_33248,c_33247,c_33246,c_33245,c_33244,c_33243,c_33242,c_33241,c_33240,c_33239,c_33238,c_33237,c_33236,c_33235,c_33234,c_33233,c_33232,c_33231,c_33230,c_33229,c_33228,c_33227,c_33226,c_33225,c_33224,c_33223,c_33222,c_33221,c_33220,c_33219,c_33218,c_33217,c_33216,c_33215,c_33214,c_33213,c_33212,c_33211,c_33210,c_33209,c_33208,c_33207,c_33206,c_33205,c_33204,c_33203,c_33202,c_33201,c_33200,c_33199,c_33198,c_33197,c_33196,c_33195,c_33194,c_33193,c_33192,c_33191,c_33189,c_33157,c_33156,c_33153,c_33152,c_33151,c_33154,c_33155,c_33125,c_33124,c_33121,c_33120,c_33119,c_33122,c_33123,c_33114,c_33113,c_33110,c_33109,c_33111,c_33112,c_33085,c_33084,c_33081,c_33080,c_33082,c_33083,c_33076,c_33070,c_33063,c_33056,c_33029,c_33030,c_32943,c_32942,c_32941,c_32940,c_32939,c_32938,c_32937,c_32936,c_32935,c_32934,c_32933,c_32932,c_32931,c_32930,c_32929,c_32928,c_32927,c_32926,c_32925,c_32924,c_32923,c_32922,c_32921,c_32920,c_32919,c_32918,c_32917,c_32916,c_32915,c_32914,c_32913,c_32912,c_32911,c_32908,c_32907,c_32906,c_32905,c_32904,c_32903,c_32902,c_32899,c_32900,c_32891,c_32892,c_32863,c_32862,c_32859,c_32858,c_32857,c_32860,c_32861,c_32833,c_32832,c_32829,c_32828,c_32827,c_32830,c_32831,c_32822,c_32823,c_32813,c_32814,c_32804,c_32805,c_32796,c_32797,c_32786,c_32787,c_32748,c_32749,c_32740,c_32733,c_32727,c_32720,c_32713,c_32714,c_32613,c_32612,c_32611,c_32610,c_32609,c_32608,c_32607,c_32606,c_32605,c_32604,c_32603,c_32602,c_32601,c_32600,c_32599,c_32598,c_32597,c_32596,c_32595,c_32594,c_32593,c_32592,c_32591,c_32590,c_32589,c_32588,c_32587,c_32586,c_32585,c_32584,c_32583,c_32582,c_32581,c_32577,c_32576,c_32575,c_32574,c_32573,c_32572,c_32569,c_32570,c_32562,c_32563,c_32552,c_32553,c_32544,c_32545,c_32513,c_32514,c_32505,c_32506,c_32497,c_32498,c_32488,c_32489,c_32234,c_32233,c_32232,c_32231,c_32230,c_32229,c_32228,c_32227,c_32226,c_32225,c_32224,c_32223,c_32222,c_32221,c_32220,c_32219,c_32218,c_32217,c_32216,c_32215,c_32214,c_32213,c_32212,c_32211,c_32210,c_32209,c_32208,c_32207,c_32206,c_32205,c_32204,c_32203,c_32202,c_32201,c_32200,c_32199,c_32198,c_32197,c_32196,c_32195,c_32194,c_32193,c_32104,c_32103,c_32102,c_32101,c_32100,c_32099,c_32098,c_32097,c_32096,c_32095,c_32094,c_32093,c_32092,c_32091,c_32090,c_32089,c_32088,c_32087,c_32086,c_32085,c_32084,c_32083,c_32082,c_32081,c_32080,c_32079,c_32078,c_32077,c_32076,c_32075,c_32074,c_32073,c_32072,c_32071,c_32070,c_32069,c_32068,c_32067,c_32066,c_32065,c_32064,c_32063,c_32061,c_32054,c_32048,c_32042,c_31943,c_31942,c_31941,c_31940,c_31939,c_31938,c_31937,c_31936,c_31935,c_31934,c_31933,c_31932,c_31931,c_31930,c_31929,c_31928,c_31927,c_31926,c_31925,c_31924,c_31923,c_31922,c_31921,c_31920,c_31919,c_31918,c_31917,c_31916,c_31915,c_31914,c_31913,c_31912,c_31911,c_31906,c_31905,c_31904,c_31903,c_31902,c_31900,c_31901,c_31786,c_31785,c_31784,c_31783,c_31782,c_31781,c_31780,c_31779,c_31778,c_31777,c_31776,c_31775,c_31774,c_31773,c_31772,c_31771,c_31770,c_31769,c_31768,c_31767,c_31766,c_31765,c_31764,c_31763,c_31762,c_31761,c_31760,c_31759,c_31758,c_31757,c_31756,c_31755,c_31754,c_31748,c_31747,c_31746,c_31745,c_31660,c_31659,c_31658,c_31657,c_31656,c_31655,c_31654,c_31653,c_31652,c_31651,c_31650,c_31649,c_31648,c_31647,c_31646,c_31645,c_31644,c_31643,c_31642,c_31641,c_31640,c_31639,c_31638,c_31637,c_31636,c_31635,c_31634,c_31633,c_31632,c_31631,c_31630,c_31629,c_31628,c_31627,c_31626,c_31625,c_31624,c_31623,c_31622,c_31621,c_31620,c_31619,c_31572,c_31571,c_31568,c_31567,c_31569,c_31570,c_31562,c_31561,c_31558,c_31557,c_31559,c_31560,c_31509,c_31508,c_31505,c_31504,c_31503,c_31506,c_31507,c_31492,c_31491,c_31488,c_31487,c_31486,c_31489,c_31490,c_31481,c_31480,c_31477,c_31476,c_31478,c_31479,c_31471,c_31470,c_31467,c_31466,c_31468,c_31469,c_31406,c_31405,c_31402,c_31401,c_31400,c_31403,c_31404,c_31395,c_31394,c_31391,c_31390,c_31389,c_31392,c_31393,c_31385,c_31378,c_31372,c_31366,c_31328,c_31329,c_31307,c_31308,c_31295,c_31296,c_31287,c_31288,c_31268,c_31267,c_31264,c_31263,c_31265,c_31266,c_31258,c_31257,c_31254,c_31253,c_31255,c_31256,c_31249,c_31248,c_31245,c_31244,c_31246,c_31247,c_31207,c_31206,c_31203,c_31202,c_31204,c_31205,c_31197,c_31196,c_31193,c_31194,c_31188,c_31187,c_31184,c_31185,c_31177,c_31174,c_30970,c_30969,c_30968,c_30967,c_30966,c_30965,c_30964,c_30963,c_30962,c_30961,c_30960,c_30959,c_30958,c_30957,c_30956,c_30955,c_30954,c_30953,c_30952,c_30951,c_30950,c_30949,c_30948,c_30947,c_30946,c_30945,c_30944,c_30943,c_30942,c_30941,c_30940,c_30939,c_30938,c_30935,c_30934,c_30933,c_30932,c_30931,c_30930,c_30929,c_30927,c_30928,c_30920,c_30921,c_30889,c_30890,c_30881,c_30880,c_30877,c_30876,c_30878,c_30879,c_30849,c_30848,c_30845,c_30844,c_30846,c_30847,c_30820,c_30821,c_30812,c_30813,c_30804,c_30805,c_30773,c_30774,c_30765,c_30766,c_30757,c_30758,c_30635,c_30634,c_30633,c_30632,c_30631,c_30630,c_30629,c_30628,c_30627,c_30626,c_30625,c_30624,c_30623,c_30622,c_30621,c_30620,c_30619,c_30618,c_30617,c_30616,c_30615,c_30614,c_30613,c_30612,c_30611,c_30610,c_30609,c_30608,c_30607,c_30606,c_30605,c_30604,c_30603,c_30599,c_30598,c_30597,c_30596,c_30595,c_30594,c_30592,c_30593,c_30507,c_30506,c_30505,c_30504,c_30503,c_30502,c_30501,c_30500,c_30499,c_30498,c_30497,c_30496,c_30495,c_30494,c_30493,c_30492,c_30491,c_30490,c_30489,c_30488,c_30487,c_30486,c_30485,c_30484,c_30483,c_30482,c_30481,c_30480,c_30479,c_30478,c_30477,c_30475,c_30469,c_30468,c_30467,c_30466,c_30464,c_30465,c_30457,c_30458,c_30449,c_30450,c_30441,c_30442,c_30397,c_30398,c_30390,c_30391,c_30382,c_30383,c_30238,c_30237,c_30236,c_30235,c_30234,c_30233,c_30232,c_30231,c_30230,c_30229,c_30228,c_30227,c_30226,c_30225,c_30224,c_30223,c_30222,c_30221,c_30220,c_30219,c_30218,c_30217,c_30216,c_30215,c_30214,c_30213,c_30212,c_30211,c_30210,c_30209,c_30208,c_30207,c_30206,c_30205,c_30204,c_30203,c_30202,c_30201,c_30200,c_30199,c_30198,c_30197,c_30138,c_30137,c_30136,c_30135,c_30134,c_30133,c_30132,c_30131,c_30130,c_30129,c_30128,c_30127,c_30126,c_30125,c_30124,c_30123,c_30122,c_30121,c_30120,c_30119,c_30118,c_30117,c_30116,c_30115,c_30114,c_30113,c_30112,c_30111,c_30110,c_30109,c_30108,c_30107,c_30106,c_30105,c_30104,c_30103,c_30102,c_30101,c_30100,c_30099,c_30098,c_30097,c_29848,c_29847,c_29846,c_29845,c_29844,c_29843,c_29842,c_29841,c_29840,c_29839,c_29838,c_29837,c_29836,c_29835,c_29834,c_29833,c_29832,c_29831,c_29830,c_29829,c_29828,c_29827,c_29826,c_29825,c_29824,c_29823,c_29822,c_29821,c_29820,c_29816,c_29810,c_29809,c_29808,c_29807,c_29630,c_29629,c_29628,c_29627,c_29626,c_29625,c_29624,c_29623,c_29622,c_29621,c_29620,c_29619,c_29618,c_29617,c_29616,c_29615,c_29614,c_29613,c_29612,c_29611,c_29610,c_29609,c_29608,c_29607,c_29606,c_29605,c_29604,c_29603,c_29602,c_29601,c_29600,c_29599,c_29598,c_29597,c_29596,c_29595,c_29594,c_29593,c_29592,c_29591,c_29590,c_29589,c_29586,c_29587,c_29578,c_29579,c_29540,c_29539,c_29536,c_29537,c_29531,c_29530,c_29527,c_29528,c_29497,c_29496,c_29493,c_29492,c_29494,c_29495,c_29486,c_29485,c_29482,c_29481,c_29483,c_29484,c_29476,c_29475,c_29472,c_29473,c_29435,c_29434,c_29431,c_29432,c_29424,c_29423,c_29420,c_29419,c_29418,c_29421,c_29422,c_29382,c_29381,c_29378,c_29377,c_29376,c_29379,c_29380,c_29373,c_29367,c_29361,c_29355,c_29346,c_29347,c_29337,c_29338,c_29248,c_29247,c_29246,c_29245,c_29244,c_29243,c_29242,c_29241,c_29240,c_29239,c_29238,c_29237,c_29236,c_29235,c_29234,c_29233,c_29232,c_29231,c_29230,c_29229,c_29228,c_29227,c_29226,c_29225,c_29224,c_29223,c_29222,c_29221,c_29220,c_29219,c_29218,c_29217,c_29216,c_29213,c_29212,c_29211,c_29210,c_29209,c_29208,c_29207,c_29204,c_29205,c_29196,c_29195,c_29192,c_29191,c_29193,c_29194,c_29186,c_29185,c_29182,c_29181,c_29183,c_29184,c_29176,c_29177,c_29128,c_29129,c_29119,c_29120,c_29110,c_29111,c_29100,c_29101,c_29091,c_29092,c_29084,c_29077,c_29071,c_29064,c_29056,c_29057,c_29047,c_29048,c_28958,c_28957,c_28956,c_28955,c_28954,c_28953,c_28952,c_28951,c_28950,c_28949,c_28948,c_28947,c_28946,c_28945,c_28944,c_28943,c_28942,c_28941,c_28940,c_28939,c_28938,c_28937,c_28936,c_28935,c_28934,c_28933,c_28932,c_28931,c_28930,c_28929,c_28928,c_28927,c_28926,c_28922,c_28921,c_28920,c_28919,c_28918,c_28917,c_28914,c_28915,c_28904,c_28905,c_28895,c_28896,c_28885,c_28886,c_28825,c_28826,c_28817,c_28818,c_28808,c_28809,c_28675,c_28674,c_28673,c_28672,c_28671,c_28670,c_28669,c_28668,c_28667,c_28666,c_28665,c_28664,c_28663,c_28662,c_28661,c_28660,c_28659,c_28658,c_28657,c_28656,c_28655,c_28654,c_28653,c_28652,c_28651,c_28650,c_28649,c_28648,c_28647,c_28646,c_28645,c_28644,c_28643,c_28642,c_28641,c_28640,c_28639,c_28638,c_28637,c_28636,c_28635,c_28634,c_28576,c_28575,c_28574,c_28573,c_28572,c_28571,c_28570,c_28569,c_28568,c_28567,c_28566,c_28565,c_28564,c_28563,c_28562,c_28561,c_28560,c_28559,c_28558,c_28557,c_28556,c_28555,c_28554,c_28553,c_28552,c_28551,c_28550,c_28549,c_28548,c_28547,c_28546,c_28545,c_28544,c_28543,c_28542,c_28541,c_28540,c_28539,c_28538,c_28537,c_28536,c_28535,c_28534,c_28527,c_28520,c_28513,c_28331,c_28330,c_28329,c_28328,c_28327,c_28326,c_28325,c_28324,c_28323,c_28322,c_28321,c_28320,c_28319,c_28318,c_28317,c_28316,c_28315,c_28314,c_28313,c_28312,c_28311,c_28310,c_28309,c_28308,c_28307,c_28306,c_28305,c_28304,c_28303,c_28302,c_28301,c_28299,c_28293,c_28292,c_28291,c_28290,c_28264,c_28265,c_28212,c_28211,c_28210,c_28209,c_28208,c_28207,c_28206,c_28205,c_28204,c_28203,c_28202,c_28201,c_28200,c_28199,c_28198,c_28197,c_28196,c_28195,c_28194,c_28193,c_28192,c_28191,c_28190,c_28189,c_28188,c_28187,c_28186,c_28185,c_28184,c_28180,c_28174,c_28173,c_28172,c_28171,c_27983,c_27982,c_27981,c_27980,c_27979,c_27978,c_27977,c_27976,c_27975,c_27974,c_27973,c_27972,c_27971,c_27970,c_27969,c_27968,c_27967,c_27966,c_27965,c_27964,c_27963,c_27962,c_27961,c_27960,c_27959,c_27958,c_27957,c_27956,c_27955,c_27954,c_27953,c_27952,c_27951,c_27950,c_27949,c_27948,c_27947,c_27946,c_27945,c_27944,c_27943,c_27942,c_27911,c_27910,c_27907,c_27906,c_27905,c_27908,c_27909,c_27900,c_27899,c_27896,c_27895,c_27894,c_27897,c_27898,c_27889,c_27888,c_27885,c_27884,c_27886,c_27887,c_27837,c_27836,c_27833,c_27832,c_27834,c_27835,c_27808,c_27807,c_27804,c_27803,c_27802,c_27805,c_27806,c_27797,c_27796,c_27793,c_27792,c_27791,c_27794,c_27795,c_27767,c_27766,c_27763,c_27762,c_27764,c_27765,c_27738,c_27737,c_27734,c_27733,c_27735,c_27736,c_27730,c_27724,c_27718,c_27712,c_27645,c_27644,c_27643,c_27642,c_27641,c_27639,c_27638,c_27637,c_27636,c_27635,c_27634,c_27633,c_27632,c_27631,c_27626,c_27622,c_27621,c_27620,c_27619,c_27618,c_27608,c_27607,c_27606,c_27577,c_27576,c_27575,c_27574,c_27573,c_27571,c_27570,c_27569,c_27568,c_27567,c_27566,c_27565,c_27564,c_27563,c_27558,c_27554,c_27553,c_27552,c_27551,c_27550,c_27540,c_27539,c_27538,c_27510,c_27509,c_27508,c_27507,c_27506,c_27505,c_27503,c_27502,c_27501,c_27500,c_27499,c_27498,c_27497,c_27496,c_27495,c_27490,c_27486,c_27485,c_27484,c_27483,c_27482,c_27472,c_27471,c_27470,c_27430,c_27429,c_27428,c_27427,c_27426,c_27425,c_27423,c_27422,c_27421,c_27420,c_27419,c_27418,c_27417,c_27416,c_27415,c_27410,c_27406,c_27405,c_27404,c_27403,c_27402,c_27392,c_27391,c_27390,c_27356,c_27355,c_27352,c_27351,c_27350,c_27353,c_27354,c_27344,c_27343,c_27340,c_27339,c_27338,c_27341,c_27342,c_27332,c_27331,c_27328,c_27327,c_27329,c_27330,c_27321,c_27320,c_27317,c_27316,c_27318,c_27319,c_27312,c_27305,c_27297,c_27290,c_27284,c_27277,c_27271,c_27264,c_27151,c_27150,c_27149,c_27148,c_27147,c_27146,c_27145,c_27144,c_27143,c_27142,c_27141,c_27140,c_27139,c_27138,c_27137,c_27136,c_27131,c_27127,c_27126,c_27125,c_27124,c_27123,c_27113,c_27112,c_27111,c_27076,c_27075,c_27074,c_27073,c_27072,c_27071,c_27070,c_27069,c_27068,c_27067,c_27066,c_27065,c_27064,c_27063,c_27062,c_27061,c_27056,c_27052,c_27051,c_27050,c_27049,c_27048,c_27038,c_27037,c_27036,c_27016,c_27015,c_27014,c_27013,c_27012,c_27011,c_27010,c_27009,c_27008,c_27007,c_27006,c_27005,c_27004,c_27003,c_27002,c_27001,c_27000,c_26996,c_26992,c_26991,c_26990,c_26989,c_26988,c_26978,c_26977,c_26976,c_26936,c_26935,c_26934,c_26933,c_26932,c_26931,c_26930,c_26929,c_26928,c_26927,c_26926,c_26925,c_26924,c_26923,c_26922,c_26921,c_26920,c_26916,c_26912,c_26911,c_26910,c_26909,c_26908,c_26898,c_26897,c_26896,c_26894,c_26887,c_26837,c_26830,c_26824,c_26816,c_26807,c_26799,c_26792,c_26785,c_26778,c_26771,c_26733,c_26732,c_26731,c_26730,c_26729,c_26728,c_26727,c_26726,c_26725,c_26724,c_26723,c_26722,c_26721,c_26720,c_26719,c_26718,c_26717,c_26716,c_26713,c_26709,c_26708,c_26707,c_26706,c_26705,c_26695,c_26694,c_26693,c_26482,c_26481,c_26480,c_26479,c_26478,c_26477,c_26476,c_26475,c_26474,c_26473,c_26472,c_26471,c_26470,c_26469,c_26468,c_26467,c_26466,c_26465,c_26462,c_26458,c_26457,c_26456,c_26455,c_26454,c_26444,c_26443,c_26442,c_26372,c_26371,c_26370,c_26369,c_26368,c_26367,c_26366,c_26365,c_26364,c_26363,c_26362,c_26361,c_26360,c_26359,c_26358,c_26357,c_26356,c_26355,c_26354,c_26352,c_26348,c_26347,c_26346,c_26345,c_26344,c_26334,c_26333,c_26332,c_26273,c_26272,c_26271,c_26270,c_26269,c_26268,c_26267,c_26266,c_26265,c_26264,c_26263,c_26262,c_26261,c_26260,c_26259,c_26258,c_26257,c_26256,c_26255,c_26253,c_26249,c_26248,c_26247,c_26246,c_26245,c_26235,c_26234,c_26233,c_26231,c_26223,c_26214,c_26206,c_26199,c_26191,c_26145,c_26137,c_26130,c_26124,c_26118,c_26112,c_25947,c_25946,c_25945,c_25944,c_25943,c_25942,c_25941,c_25940,c_25939,c_25938,c_25937,c_25936,c_25935,c_25934,c_25933,c_25932,c_25931,c_25930,c_25929,c_25928,c_25927,c_25923,c_25922,c_25921,c_25920,c_25919,c_25909,c_25908,c_25907,c_25849,c_25848,c_25847,c_25846,c_25845,c_25844,c_25843,c_25842,c_25841,c_25840,c_25839,c_25838,c_25837,c_25836,c_25835,c_25834,c_25833,c_25832,c_25831,c_25830,c_25829,c_25825,c_25824,c_25823,c_25822,c_25821,c_25811,c_25810,c_25809,c_25697,c_25696,c_25695,c_25694,c_25693,c_25692,c_25691,c_25690,c_25689,c_25688,c_25687,c_25686,c_25685,c_25684,c_25683,c_25682,c_25681,c_25680,c_25679,c_25678,c_25677,c_25675,c_25673,c_25672,c_25671,c_25670,c_25669,c_25659,c_25658,c_25657,c_25597,c_25596,c_25595,c_25594,c_25593,c_25592,c_25591,c_25590,c_25589,c_25588,c_25587,c_25586,c_25585,c_25584,c_25583,c_25582,c_25581,c_25580,c_25579,c_25578,c_25577,c_25575,c_25573,c_25572,c_25571,c_25570,c_25569,c_25559,c_25558,c_25557,c_25555,c_25547,c_25538,c_25530,c_25466,c_25458,c_25449,c_25441,c_25434,c_25427,c_25400,c_25385,c_25311,c_25310,c_25309,c_25308,c_25307,c_25306,c_25305,c_25304,c_25303,c_25302,c_25301,c_25300,c_25299,c_25298,c_25297,c_25296,c_25295,c_25294,c_25293,c_25292,c_25291,c_25289,c_25287,c_25286,c_25285,c_25284,c_25283,c_25279,c_25273,c_25272,c_25271,c_25116,c_25115,c_25114,c_25113,c_25112,c_25111,c_25110,c_25109,c_25108,c_25107,c_25106,c_25105,c_25104,c_25103,c_25102,c_25101,c_25100,c_25099,c_25098,c_25097,c_25096,c_25094,c_25092,c_25091,c_25090,c_25089,c_25088,c_25084,c_25078,c_25077,c_25076,c_24955,c_24954,c_24953,c_24952,c_24951,c_24950,c_24949,c_24948,c_24947,c_24946,c_24945,c_24944,c_24943,c_24942,c_24941,c_24940,c_24939,c_24938,c_24937,c_24936,c_24935,c_24934,c_24933,c_24931,c_24930,c_24929,c_24928,c_24927,c_24923,c_24917,c_24916,c_24915,c_24849,c_24848,c_24847,c_24846,c_24845,c_24844,c_24843,c_24842,c_24841,c_24840,c_24839,c_24838,c_24837,c_24836,c_24835,c_24834,c_24833,c_24832,c_24831,c_24830,c_24829,c_24828,c_24827,c_24825,c_24824,c_24823,c_24822,c_24821,c_24817,c_24811,c_24810,c_24809,c_24807,c_24799,c_24757,c_24749,c_24729,c_24723,c_24716,c_24710,c_24705,c_24698,c_24691,c_24684,c_24536,c_24535,c_24534,c_24533,c_24532,c_24531,c_24530,c_24529,c_24528,c_24527,c_24526,c_24525,c_24524,c_24523,c_24522,c_24521,c_24520,c_24519,c_24518,c_24517,c_24516,c_24515,c_24514,c_24513,c_24512,c_24511,c_24510,c_24509,c_24508,c_24504,c_24498,c_24497,c_24496,c_24492,c_24491,c_24490,c_24489,c_24488,c_24487,c_24486,c_24485,c_24484,c_24483,c_24482,c_24481,c_24480,c_24479,c_24478,c_24477,c_24476,c_24475,c_24474,c_24473,c_24472,c_24471,c_24470,c_24469,c_24468,c_24467,c_24466,c_24465,c_24464,c_24460,c_24454,c_24453,c_24452,c_24228,c_24227,c_24226,c_24225,c_24224,c_24223,c_24222,c_24221,c_24220,c_24219,c_24218,c_24217,c_24216,c_24215,c_24214,c_24213,c_24212,c_24211,c_24210,c_24209,c_24208,c_24207,c_24206,c_24205,c_24204,c_24203,c_24202,c_24201,c_24200,c_24199,c_24196,c_24190,c_24189,c_24188,c_24066,c_24065,c_24064,c_24063,c_24062,c_24061,c_24060,c_24059,c_24058,c_24057,c_24056,c_24055,c_24054,c_24053,c_24052,c_24051,c_24050,c_24049,c_24048,c_24047,c_24046,c_24045,c_24044,c_24043,c_24042,c_24041,c_24040,c_24039,c_24038,c_24037,c_24034,c_24028,c_24027,c_24026,c_24024,c_24018,c_24011,c_23974,c_23969,c_23954,c_23947,c_23941,c_23936,c_23930,c_23924,c_23917,c_23806,c_23805,c_23804,c_23803,c_23802,c_23801,c_23800,c_23799,c_23798,c_23797,c_23796,c_23795,c_23794,c_23793,c_23792,c_23791,c_23790,c_23789,c_23788,c_23787,c_23786,c_23785,c_23784,c_23783,c_23782,c_23781,c_23780,c_23779,c_23778,c_23777,c_23776,c_23774,c_23768,c_23767,c_23766,c_23638,c_23637,c_23636,c_23635,c_23634,c_23633,c_23632,c_23631,c_23630,c_23629,c_23628,c_23627,c_23626,c_23625,c_23624,c_23623,c_23622,c_23621,c_23620,c_23619,c_23618,c_23617,c_23616,c_23615,c_23614,c_23613,c_23612,c_23611,c_23610,c_23609,c_23608,c_23606,c_23600,c_23599,c_23598,c_23582,c_23581,c_23558,c_23551,c_23545,c_23540,c_23533,c_23524,c_23518,c_23467,c_23465,c_23464,c_23400,c_23399,c_23398,c_23397,c_23396,c_23395,c_23394,c_23393,c_23392,c_23391,c_23390,c_23389,c_23388,c_23387,c_23386,c_23385,c_23384,c_23383,c_23382,c_23381,c_23380,c_23379,c_23378,c_23377,c_23376,c_23375,c_23374,c_23373,c_23372,c_23371,c_23370,c_23369,c_23368,c_23367,c_23366,c_23365,c_23364,c_23363,c_23362,c_23361,c_23360,c_23359,c_23356,c_23349,c_23343,c_23336,c_23328,c_23321,c_23281,c_23279,c_23278,c_23032,c_23031,c_23030,c_23029,c_23028,c_23027,c_23026,c_23025,c_23024,c_23023,c_23022,c_23021,c_23020,c_23019,c_23018,c_23017,c_23016,c_23015,c_23014,c_23013,c_23012,c_23011,c_23010,c_23009,c_23008,c_23007,c_23006,c_23005,c_23004,c_23003,c_23002,c_23001,c_23000,c_22999,c_22998,c_22997,c_22996,c_22995,c_22994,c_22993,c_22992,c_22991,c_22990,c_22976,c_22968,c_22961,c_22955,c_22948,c_22917,c_22916,c_22799,c_22798,c_22797,c_22796,c_22795,c_22794,c_22793,c_22792,c_22791,c_22790,c_22789,c_22788,c_22787,c_22786,c_22785,c_22784,c_22783,c_22782,c_22781,c_22780,c_22779,c_22778,c_22777,c_22776,c_22775,c_22774,c_22773,c_22772,c_22771,c_22770,c_22769,c_22768,c_22767,c_22766,c_22765,c_22764,c_22763,c_22762,c_22761,c_22760,c_22759,c_22758,c_22756,c_22753,c_22746,c_22740,c_22734,c_22696,c_22690,c_22685,c_22679,c_22641,c_22642,c_22611,c_22612,c_22603,c_22604,c_22593,c_22594,c_22586,c_22580,c_22575,c_22569,c_22536,c_22530,c_22525,c_22519,c_22505,c_22499,c_22493,c_22487,c_22488,c_22444,c_22445,c_22437,c_22438,c_22427,c_22428,c_22420,c_22414,c_22409,c_22402,c_22394,c_22387,c_22381,c_22374,c_22366,c_22359,c_22315,c_22309,c_22302,c_22303,c_22294,c_22295,c_22287,c_22288,c_22279,c_22280,c_22272,c_22265,c_22259,c_22252,c_22244,c_22237,c_22211,c_22204,c_22196,c_22190,c_22183,c_22176,c_22169,c_22170,c_22160,c_22161,c_22152,c_22153,c_22144,c_22145,c_22136,c_22100,c_22094,c_22088,c_22081,c_22049,c_22044,c_22038,c_22031,c_22025,c_22019,c_22013,c_22007,c_22008,c_21999,c_22000,c_21992,c_21993,c_21955,c_21956,c_21948,c_21942,c_21937,c_21931,c_21924,c_21900,c_21895,c_21889,c_21882,c_21875,c_21868,c_21862,c_21855,c_21856,c_21817,c_21818,c_21809,c_21810,c_21801,c_21802,c_21793,c_21787,c_21782,c_21776,c_21769,c_21763,c_21758,c_21752,c_21745,c_21739,c_21732,c_21725,c_21718,c_21719,c_21649,c_21650,c_21642,c_21643,c_21634,c_21635,c_21627,c_21621,c_21616,c_21610,c_21603,c_21597,c_21580,c_21574,c_21567,c_21561,c_21555,c_21549,c_21543,c_21544,c_21535,c_21536,c_21528,c_21529,c_21520,c_21521,c_21513,c_21507,c_21502,c_21496,c_21447,c_21441,c_21436,c_21430,c_21336,c_21330,c_21324,c_21318,c_21267,c_21268,c_21259,c_21260,c_21252,c_21253,c_21244,c_21245,c_21238,c_21232,c_21225,c_21219,c_21214,c_21208,c_21201,c_21195,c_21189,c_21142,c_21135,c_20827,c_20826,c_20823,c_20822,c_20821,c_20820,c_20819,c_20818,c_20817,c_20816,c_20815,c_20814,c_20813,c_20812,c_20811,c_20810,c_20809,c_20808,c_20807,c_20806,c_20805,c_20804,c_20803,c_20802,c_20801,c_20800,c_20799,c_20798,c_20797,c_20796,c_20795,c_20794,c_20793,c_20792,c_20791,c_20790,c_20789,c_20788,c_20787,c_20786,c_20785,c_20784,c_20783,c_20782,c_20781,c_20780,c_20779,c_20778,c_20777,c_20776,c_20775,c_20774,c_20773,c_20772,c_20771,c_20770,c_20769,c_20768,c_20767,c_20766,c_20765,c_20764,c_20763,c_20762,c_20761,c_20760,c_20759,c_20758,c_20757,c_20756,c_20755,c_20754,c_20753,c_20752,c_20751,c_20749,c_20750,c_20741,c_20742,c_20560,c_20559,c_20556,c_20555,c_20554,c_20553,c_20552,c_20551,c_20550,c_20549,c_20548,c_20547,c_20546,c_20545,c_20544,c_20543,c_20542,c_20541,c_20540,c_20539,c_20538,c_20537,c_20536,c_20535,c_20534,c_20533,c_20532,c_20531,c_20530,c_20529,c_20528,c_20527,c_20526,c_20525,c_20524,c_20523,c_20522,c_20521,c_20520,c_20519,c_20518,c_20517,c_20516,c_20515,c_20514,c_20513,c_20512,c_20511,c_20510,c_20509,c_20508,c_20507,c_20506,c_20505,c_20504,c_20503,c_20502,c_20501,c_20500,c_20499,c_20498,c_20497,c_20496,c_20495,c_20494,c_20493,c_20492,c_20491,c_20490,c_20489,c_20488,c_20487,c_20486,c_20485,c_20484,c_20483,c_20481,c_20287,c_20286,c_20283,c_20282,c_20281,c_20280,c_20279,c_20278,c_20277,c_20276,c_20275,c_20274,c_20273,c_20272,c_20271,c_20270,c_20269,c_20268,c_20267,c_20266,c_20265,c_20264,c_20263,c_20262,c_20261,c_20260,c_20259,c_20258,c_20257,c_20256,c_20255,c_20254,c_20253,c_20252,c_20251,c_20250,c_20249,c_20248,c_20247,c_20246,c_20245,c_20244,c_20243,c_20242,c_20241,c_20240,c_20239,c_20238,c_20237,c_20236,c_20235,c_20234,c_20233,c_20232,c_20231,c_20230,c_20229,c_20228,c_20227,c_20226,c_20225,c_20224,c_20223,c_20222,c_20221,c_20220,c_20219,c_20218,c_20217,c_20216,c_20215,c_20214,c_20213,c_20212,c_20211,c_20207,c_20205,c_20199,c_20194,c_20188,c_20181,c_20164,c_20159,c_20153,c_20143,c_20136,c_20130,c_20123,c_19848,c_19847,c_19844,c_19843,c_19842,c_19841,c_19840,c_19839,c_19838,c_19837,c_19836,c_19835,c_19834,c_19833,c_19832,c_19831,c_19830,c_19829,c_19828,c_19827,c_19826,c_19825,c_19824,c_19823,c_19822,c_19821,c_19820,c_19819,c_19818,c_19817,c_19816,c_19815,c_19814,c_19813,c_19812,c_19811,c_19810,c_19809,c_19808,c_19807,c_19806,c_19805,c_19804,c_19803,c_19802,c_19801,c_19800,c_19799,c_19798,c_19797,c_19796,c_19795,c_19794,c_19793,c_19792,c_19791,c_19790,c_19789,c_19788,c_19787,c_19786,c_19785,c_19784,c_19783,c_19782,c_19781,c_19780,c_19779,c_19778,c_19777,c_19776,c_19775,c_19774,c_19773,c_19772,c_19768,c_19236,c_19235,c_19232,c_19231,c_19230,c_19229,c_19228,c_19227,c_19226,c_19225,c_19224,c_19223,c_19222,c_19221,c_19220,c_19219,c_19218,c_19217,c_19216,c_19215,c_19214,c_19213,c_19212,c_19211,c_19210,c_19209,c_19208,c_19207,c_19206,c_19205,c_19204,c_19203,c_19202,c_19201,c_19200,c_19199,c_19198,c_19197,c_19196,c_19195,c_19194,c_19193,c_19192,c_19191,c_19190,c_19189,c_19188,c_19187,c_19186,c_19185,c_19184,c_19183,c_19182,c_19181,c_19180,c_19179,c_19178,c_19177,c_19176,c_19175,c_19174,c_19173,c_19172,c_19171,c_19170,c_19169,c_19168,c_19167,c_19166,c_19165,c_19164,c_19163,c_19162,c_19161,c_19160,c_19156,c_19154,c_19155,c_19145,c_19146,c_19138,c_19132,c_19126,c_19119,c_19112,c_19105,c_19099,c_19092,c_19084,c_19029,c_19023,c_19016,c_18985,c_18986,c_18976,c_18977,c_18719,c_18718,c_18715,c_18714,c_18713,c_18712,c_18711,c_18710,c_18709,c_18708,c_18707,c_18706,c_18705,c_18704,c_18703,c_18702,c_18701,c_18700,c_18699,c_18698,c_18697,c_18696,c_18695,c_18694,c_18693,c_18692,c_18691,c_18690,c_18689,c_18688,c_18687,c_18686,c_18685,c_18684,c_18683,c_18682,c_18681,c_18680,c_18679,c_18678,c_18677,c_18676,c_18675,c_18674,c_18673,c_18672,c_18671,c_18670,c_18669,c_18668,c_18667,c_18666,c_18665,c_18664,c_18663,c_18662,c_18661,c_18660,c_18659,c_18658,c_18657,c_18656,c_18655,c_18654,c_18653,c_18652,c_18651,c_18650,c_18649,c_18648,c_18647,c_18646,c_18645,c_18644,c_18643,c_18641,c_18407,c_18406,c_18403,c_18402,c_18401,c_18400,c_18399,c_18398,c_18397,c_18396,c_18395,c_18394,c_18393,c_18392,c_18391,c_18390,c_18389,c_18388,c_18387,c_18386,c_18385,c_18384,c_18383,c_18382,c_18381,c_18380,c_18379,c_18378,c_18377,c_18376,c_18375,c_18374,c_18373,c_18372,c_18371,c_18370,c_18369,c_18368,c_18367,c_18366,c_18365,c_18364,c_18363,c_18362,c_18361,c_18360,c_18359,c_18358,c_18357,c_18356,c_18355,c_18354,c_18353,c_18352,c_18351,c_18350,c_18349,c_18348,c_18347,c_18346,c_18345,c_18344,c_18343,c_18342,c_18341,c_18340,c_18339,c_18338,c_18337,c_18336,c_18335,c_18334,c_18333,c_18332,c_18331,c_18329,c_18328,c_18321,c_18294,c_18287,c_18280,c_18273,c_18267,c_18220,c_18212,c_18205,c_18197,c_18147,c_17825,c_17824,c_17821,c_17820,c_17819,c_17818,c_17817,c_17816,c_17815,c_17814,c_17813,c_17812,c_17811,c_17810,c_17809,c_17808,c_17807,c_17806,c_17805,c_17804,c_17803,c_17802,c_17801,c_17800,c_17799,c_17798,c_17797,c_17796,c_17795,c_17794,c_17793,c_17792,c_17791,c_17790,c_17789,c_17788,c_17787,c_17786,c_17785,c_17784,c_17783,c_17782,c_17781,c_17780,c_17779,c_17778,c_17777,c_17776,c_17775,c_17774,c_17773,c_17772,c_17771,c_17770,c_17769,c_17768,c_17767,c_17766,c_17765,c_17764,c_17763,c_17762,c_17761,c_17760,c_17759,c_17758,c_17757,c_17756,c_17755,c_17754,c_17753,c_17752,c_17751,c_17750,c_17749,c_17509,c_17508,c_17505,c_17504,c_17503,c_17502,c_17501,c_17500,c_17499,c_17497,c_17496,c_17495,c_17494,c_17493,c_17492,c_17491,c_17490,c_17489,c_17488,c_17487,c_17486,c_17485,c_17484,c_17483,c_17482,c_17481,c_17480,c_17479,c_17478,c_17477,c_17476,c_17475,c_17474,c_17473,c_17472,c_17471,c_17470,c_17469,c_17468,c_17467,c_17466,c_17465,c_17464,c_17463,c_17462,c_17461,c_17460,c_17459,c_17458,c_17457,c_17456,c_17455,c_17454,c_17453,c_17452,c_17451,c_17450,c_17449,c_17448,c_17447,c_17446,c_17445,c_17444,c_17443,c_17442,c_17441,c_17440,c_17439,c_17438,c_17437,c_17436,c_17435,c_17434,c_17433,c_17430,c_17192,c_17191,c_17188,c_17187,c_17186,c_17185,c_17184,c_17183,c_17182,c_17181,c_17180,c_17179,c_17178,c_17177,c_17176,c_17175,c_17174,c_17173,c_17172,c_17171,c_17170,c_17169,c_17168,c_17167,c_17166,c_17165,c_17164,c_17163,c_17162,c_17161,c_17160,c_17159,c_17158,c_17157,c_17156,c_17155,c_17154,c_17153,c_17152,c_17151,c_17150,c_17149,c_17148,c_17147,c_17146,c_17145,c_17144,c_17143,c_17142,c_17141,c_17140,c_17139,c_17138,c_17137,c_17136,c_17135,c_17134,c_17133,c_17132,c_17131,c_17130,c_17129,c_17128,c_17127,c_17126,c_17125,c_17124,c_17123,c_17122,c_17121,c_17120,c_17119,c_17118,c_17117,c_17116,c_17114,c_16908,c_16907,c_16904,c_16903,c_16902,c_16901,c_16900,c_16899,c_16898,c_16897,c_16896,c_16895,c_16894,c_16893,c_16892,c_16891,c_16890,c_16889,c_16888,c_16887,c_16886,c_16885,c_16884,c_16883,c_16882,c_16881,c_16880,c_16879,c_16878,c_16877,c_16876,c_16875,c_16874,c_16873,c_16872,c_16871,c_16870,c_16869,c_16868,c_16867,c_16866,c_16865,c_16864,c_16863,c_16862,c_16861,c_16860,c_16859,c_16858,c_16857,c_16856,c_16855,c_16854,c_16853,c_16852,c_16851,c_16850,c_16849,c_16848,c_16847,c_16846,c_16845,c_16844,c_16843,c_16842,c_16841,c_16840,c_16839,c_16838,c_16837,c_16836,c_16835,c_16834,c_16833,c_16832,c_16830,c_16829,c_16822,c_16764,c_16758,c_16746,c_16740,c_16710,c_16680,c_16672,c_16664,c_16657,c_16649,c_16375,c_16374,c_16371,c_16370,c_16369,c_16368,c_16367,c_16366,c_16365,c_16364,c_16363,c_16362,c_16361,c_16360,c_16359,c_16358,c_16357,c_16356,c_16355,c_16354,c_16353,c_16352,c_16351,c_16350,c_16349,c_16348,c_16347,c_16346,c_16345,c_16344,c_16343,c_16342,c_16341,c_16340,c_16339,c_16338,c_16337,c_16336,c_16335,c_16334,c_16333,c_16332,c_16331,c_16330,c_16329,c_16328,c_16327,c_16326,c_16325,c_16324,c_16323,c_16322,c_16321,c_16320,c_16319,c_16318,c_16317,c_16316,c_16315,c_16314,c_16313,c_16312,c_16311,c_16310,c_16309,c_16308,c_16307,c_16306,c_16305,c_16304,c_16303,c_16302,c_16301,c_16300,c_16299,c_16089,c_16088,c_16085,c_16084,c_16083,c_16082,c_16081,c_16080,c_16079,c_16077,c_16076,c_16075,c_16074,c_16073,c_16072,c_16071,c_16070,c_16069,c_16068,c_16067,c_16066,c_16065,c_16064,c_16063,c_16062,c_16061,c_16060,c_16059,c_16058,c_16057,c_16056,c_16055,c_16054,c_16053,c_16052,c_16051,c_16050,c_16049,c_16048,c_16047,c_16046,c_16045,c_16044,c_16043,c_16042,c_16041,c_16040,c_16039,c_16038,c_16037,c_16036,c_16035,c_16034,c_16033,c_16032,c_16031,c_16030,c_16029,c_16028,c_16027,c_16026,c_16025,c_16024,c_16023,c_16022,c_16021,c_16020,c_16019,c_16018,c_16017,c_16016,c_16015,c_16014,c_16013,c_16010,c_15637,c_15636,c_15633,c_15632,c_15631,c_15630,c_15629,c_15628,c_15627,c_15626,c_15625,c_15624,c_15623,c_15622,c_15621,c_15620,c_15619,c_15618,c_15617,c_15616,c_15615,c_15614,c_15613,c_15612,c_15611,c_15610,c_15609,c_15608,c_15607,c_15606,c_15605,c_15604,c_15603,c_15602,c_15601,c_15600,c_15599,c_15598,c_15597,c_15596,c_15595,c_15594,c_15593,c_15592,c_15591,c_15590,c_15589,c_15588,c_15587,c_15586,c_15585,c_15584,c_15583,c_15582,c_15581,c_15580,c_15579,c_15578,c_15577,c_15576,c_15575,c_15574,c_15573,c_15572,c_15571,c_15570,c_15569,c_15568,c_15567,c_15566,c_15565,c_15564,c_15563,c_15562,c_15561,c_15559,c_15344,c_15343,c_15340,c_15339,c_15338,c_15337,c_15336,c_15335,c_15334,c_15333,c_15332,c_15331,c_15330,c_15329,c_15328,c_15327,c_15326,c_15325,c_15324,c_15323,c_15322,c_15321,c_15320,c_15319,c_15318,c_15317,c_15316,c_15315,c_15314,c_15313,c_15312,c_15311,c_15310,c_15309,c_15308,c_15307,c_15306,c_15305,c_15304,c_15303,c_15302,c_15301,c_15300,c_15299,c_15298,c_15297,c_15296,c_15295,c_15294,c_15293,c_15292,c_15291,c_15290,c_15289,c_15288,c_15287,c_15286,c_15285,c_15284,c_15283,c_15282,c_15281,c_15280,c_15279,c_15278,c_15277,c_15276,c_15275,c_15274,c_15273,c_15272,c_15271,c_15270,c_15269,c_15268,c_15266,c_15264,c_15257,c_15251,c_15225,c_15219,c_15217,c_15211,c_15209,c_15203,c_15197,c_15191,c_15183,c_15177,c_15152,c_14963,c_14962,c_14959,c_14958,c_14957,c_14956,c_14955,c_14954,c_14953,c_14952,c_14951,c_14950,c_14949,c_14948,c_14947,c_14946,c_14945,c_14944,c_14943,c_14942,c_14941,c_14940,c_14939,c_14938,c_14937,c_14936,c_14935,c_14934,c_14933,c_14932,c_14931,c_14930,c_14929,c_14928,c_14927,c_14926,c_14925,c_14924,c_14923,c_14922,c_14921,c_14920,c_14919,c_14918,c_14917,c_14916,c_14915,c_14914,c_14913,c_14912,c_14911,c_14910,c_14909,c_14908,c_14907,c_14906,c_14905,c_14904,c_14903,c_14902,c_14901,c_14900,c_14899,c_14898,c_14897,c_14896,c_14895,c_14894,c_14893,c_14892,c_14891,c_14890,c_14889,c_14888,c_14887,c_14885,c_14642,c_14641,c_14638,c_14637,c_14636,c_14635,c_14634,c_14633,c_14632,c_14631,c_14630,c_14629,c_14628,c_14627,c_14626,c_14625,c_14624,c_14623,c_14622,c_14621,c_14620,c_14619,c_14618,c_14617,c_14616,c_14615,c_14614,c_14613,c_14612,c_14611,c_14610,c_14609,c_14608,c_14607,c_14606,c_14605,c_14604,c_14603,c_14602,c_14601,c_14600,c_14599,c_14598,c_14597,c_14596,c_14595,c_14594,c_14593,c_14592,c_14591,c_14590,c_14589,c_14588,c_14587,c_14586,c_14585,c_14584,c_14583,c_14582,c_14581,c_14580,c_14579,c_14578,c_14577,c_14576,c_14575,c_14574,c_14573,c_14572,c_14571,c_14570,c_14569,c_14568,c_14567,c_14566,c_14564,c_14354,c_14353,c_14350,c_14349,c_14348,c_14347,c_14346,c_14345,c_14344,c_14343,c_14342,c_14341,c_14340,c_14339,c_14338,c_14337,c_14336,c_14335,c_14334,c_14333,c_14332,c_14331,c_14330,c_14329,c_14328,c_14327,c_14326,c_14325,c_14324,c_14323,c_14322,c_14321,c_14320,c_14319,c_14318,c_14317,c_14316,c_14315,c_14314,c_14313,c_14312,c_14311,c_14310,c_14309,c_14308,c_14307,c_14306,c_14305,c_14304,c_14303,c_14302,c_14301,c_14300,c_14299,c_14298,c_14297,c_14296,c_14295,c_14294,c_14293,c_14292,c_14291,c_14290,c_14289,c_14288,c_14287,c_14286,c_14285,c_14284,c_14283,c_14282,c_14281,c_14280,c_14279,c_14278,c_14276,c_14006,c_14005,c_14002,c_14001,c_14000,c_13999,c_13998,c_13997,c_13996,c_13995,c_13994,c_13993,c_13992,c_13991,c_13990,c_13989,c_13988,c_13987,c_13986,c_13985,c_13984,c_13983,c_13982,c_13981,c_13980,c_13979,c_13978,c_13977,c_13976,c_13975,c_13974,c_13973,c_13972,c_13971,c_13970,c_13969,c_13968,c_13967,c_13966,c_13965,c_13964,c_13963,c_13962,c_13961,c_13960,c_13959,c_13958,c_13957,c_13956,c_13955,c_13954,c_13953,c_13952,c_13951,c_13950,c_13949,c_13948,c_13947,c_13946,c_13945,c_13944,c_13943,c_13942,c_13941,c_13940,c_13939,c_13938,c_13937,c_13936,c_13935,c_13934,c_13933,c_13932,c_13931,c_13930,c_13928,c_13926,c_13898,c_13892,c_13885,c_13849,c_13840,c_13833,c_13827,c_13821,c_13815,c_13808,c_13800,c_13794,c_13787,c_13725,c_13724,c_13723,c_13722,c_13721,c_13720,c_13719,c_13718,c_13717,c_13716,c_13715,c_13714,c_13713,c_13712,c_13709,c_13708,c_13707,c_13706,c_13705,c_13704,c_13703,c_13701,c_13695,c_13693,c_13687,c_13653,c_13648,c_13642,c_13636,c_13630,c_13623,c_13616,c_13609,c_13603,c_13555,c_13554,c_13553,c_13552,c_13551,c_13550,c_13549,c_13548,c_13547,c_13546,c_13545,c_13544,c_13543,c_13542,c_13538,c_13537,c_13536,c_13535,c_13534,c_13533,c_13531,c_13424,c_13423,c_13422,c_13421,c_13420,c_13419,c_13418,c_13417,c_13416,c_13415,c_13414,c_13413,c_13412,c_13411,c_13406,c_13405,c_13404,c_13403,c_13402,c_13401,c_13395,c_13388,c_13382,c_13375,c_13368,c_13367,c_13360,c_13358,c_13353,c_13351,c_13346,c_13345,c_13338,c_13332,c_13325,c_13259,c_13254,c_13244,c_13239,c_13237,c_13232,c_13230,c_13225,c_13215,c_13154,c_13153,c_13152,c_13151,c_13150,c_13149,c_13148,c_13147,c_13146,c_13145,c_13144,c_13143,c_13142,c_13141,c_13140,c_13138,c_13137,c_13136,c_13135,c_13134,c_13133,c_13132,c_13130,c_13125,c_13123,c_13042,c_13041,c_13040,c_13039,c_13038,c_13037,c_13036,c_13035,c_13034,c_13033,c_13032,c_13031,c_13030,c_13029,c_13028,c_13027,c_13026,c_13025,c_13024,c_13023,c_13022,c_13021,c_13020,c_13008,c_13001,c_12995,c_12989,c_12917,c_12916,c_12915,c_12914,c_12913,c_12912,c_12911,c_12910,c_12909,c_12908,c_12907,c_12906,c_12905,c_12904,c_12903,c_12902,c_12898,c_12897,c_12896,c_12895,c_12816,c_12815,c_12814,c_12813,c_12812,c_12811,c_12810,c_12809,c_12808,c_12807,c_12806,c_12805,c_12804,c_12803,c_12802,c_12801,c_12800,c_12799,c_12798,c_12797,c_12796,c_12795,c_12794,c_12793,c_12787,c_12767,c_12761,c_12755,c_12749,c_12706,c_12699,c_12693,c_12687,c_12680,c_12673,c_12667,c_12660,c_12599,c_12598,c_12597,c_12596,c_12595,c_12594,c_12593,c_12592,c_12591,c_12590,c_12589,c_12588,c_12587,c_12586,c_12583,c_12582,c_12581,c_12580,c_12579,c_12578,c_12577,c_12560,c_12553,c_12547,c_12540,c_12533,c_12532,c_12525,c_12524,c_12517,c_12511,c_12490,c_12484,c_12478,c_12401,c_12400,c_12399,c_12398,c_12397,c_12396,c_12395,c_12394,c_12393,c_12392,c_12391,c_12390,c_12389,c_12388,c_12384,c_12383,c_12382,c_12381,c_12380,c_12379,c_12378,c_12291,c_12290,c_12289,c_12288,c_12287,c_12286,c_12285,c_12284,c_12283,c_12282,c_12281,c_12280,c_12279,c_12278,c_12273,c_12272,c_12271,c_12270,c_12269,c_12267,c_12261,c_12254,c_12247,c_12241,c_12234,c_12229,c_12223,c_12222,c_12216,c_12215,c_12208,c_12202,c_12195,c_12188,c_12182,c_12173,c_12167,c_12105,c_12099,c_12098,c_12092,c_12083,c_12049,c_12048,c_12047,c_12046,c_12045,c_12044,c_12043,c_12042,c_12041,c_12040,c_12039,c_12038,c_12037,c_12036,c_12035,c_12033,c_12032,c_12031,c_12030,c_12029,c_12028,c_12027,c_12026,c_12020,c_12019,c_11985,c_11984,c_11983,c_11982,c_11981,c_11980,c_11979,c_11978,c_11977,c_11976,c_11975,c_11974,c_11973,c_11972,c_11971,c_11970,c_11969,c_11968,c_11967,c_11966,c_11965,c_11964,c_11963,c_11955,c_11948,c_11942,c_11936,c_11893,c_11892,c_11891,c_11890,c_11889,c_11888,c_11887,c_11886,c_11885,c_11884,c_11883,c_11882,c_11881,c_11880,c_11879,c_11878,c_11874,c_11873,c_11872,c_11871,c_11849,c_11848,c_11847,c_11846,c_11845,c_11844,c_11843,c_11842,c_11841,c_11840,c_11839,c_11838,c_11837,c_11836,c_11835,c_11834,c_11833,c_11832,c_11831,c_11830,c_11829,c_11828,c_11827,c_11825,c_11818,c_11812,c_11810,c_11804,c_11802,c_11796,c_11790,c_11784,c_11778,c_11773,c_11767,c_11592,c_11585,c_11579,c_11572,c_11565,c_11506,c_11505,c_11504,c_11503,c_11502,c_11501,c_11500,c_11499,c_11498,c_11497,c_11496,c_11495,c_11494,c_11493,c_11490,c_11489,c_11488,c_11487,c_11486,c_11485,c_11484,c_11482,c_11475,c_11468,c_11462,c_11455,c_11449,c_11442,c_11436,c_11434,c_11428,c_11427,c_11421,c_11415,c_11408,c_11400,c_11394,c_11387,c_11378,c_11377,c_11376,c_11375,c_11374,c_11373,c_11372,c_11371,c_11370,c_11369,c_11368,c_11367,c_11366,c_11365,c_11361,c_11360,c_11359,c_11358,c_11357,c_11356,c_11354,c_11349,c_11343,c_11337,c_11331,c_11323,c_11318,c_11316,c_11311,c_11309,c_11303,c_11297,c_11290,c_11284,c_11276,c_11268,c_11263,c_11261,c_11256,c_11254,c_11247,c_11239,c_11232,c_11231,c_11230,c_11229,c_11228,c_11227,c_11226,c_11225,c_11224,c_11223,c_11222,c_11221,c_11220,c_11219,c_11218,c_11216,c_11215,c_11214,c_11213,c_11212,c_11211,c_11210,c_11036,c_11031,c_11029,c_10995,c_10994,c_10993,c_10992,c_10991,c_10990,c_10989,c_10988,c_10987,c_10986,c_10985,c_10984,c_10983,c_10982,c_10981,c_10980,c_10979,c_10978,c_10977,c_10976,c_10975,c_10974,c_10973,c_10971,c_10965,c_10960,c_10953,c_10945,c_10939,c_10930,c_10929,c_10928,c_10927,c_10926,c_10925,c_10924,c_10923,c_10922,c_10921,c_10920,c_10919,c_10918,c_10917,c_10916,c_10915,c_10912,c_10911,c_10910,c_10909,c_10908,c_10863,c_10862,c_10861,c_10860,c_10859,c_10858,c_10857,c_10856,c_10855,c_10854,c_10853,c_10852,c_10851,c_10850,c_10844,c_10843,c_10842,c_10841,c_10819,c_10818,c_10817,c_10816,c_10815,c_10814,c_10813,c_10812,c_10811,c_10810,c_10809,c_10808,c_10807,c_10806,c_10805,c_10804,c_10803,c_10802,c_10801,c_10800,c_10799,c_10798,c_10797,c_10796,c_10789,c_10783,c_10776,c_10770,c_10763,c_10756,c_10755,c_10748,c_10747,c_10741,c_10735,c_10728,c_10721,c_10715,c_10708,c_10701,c_10382,c_10381,c_10380,c_10379,c_10378,c_10377,c_10376,c_10375,c_10374,c_10373,c_10372,c_10371,c_10370,c_10369,c_10366,c_10365,c_10364,c_10363,c_10362,c_10361,c_10360,c_10350,c_10340,c_10334,c_10328,c_10322,c_10315,c_10308,c_10302,c_10295,c_10288,c_10280,c_10272,c_10252,c_10246,c_10239,c_10177,c_10176,c_10175,c_10174,c_10173,c_10172,c_10171,c_10170,c_10169,c_10168,c_10167,c_10166,c_10165,c_10164,c_10160,c_10159,c_10158,c_10157,c_10156,c_10155,c_10154,c_10148,c_10141,c_10134,c_10133,c_10126,c_10125,c_10119,c_10113,c_10112,c_10106,c_10105,c_10047,c_10039,c_10032,c_10024,c_10016,c_10008,c_10002,c_10001,c_9995,c_9994,c_9987,c_9979,c_9929,c_9928,c_9927,c_9926,c_9925,c_9924,c_9923,c_9922,c_9921,c_9920,c_9919,c_9918,c_9917,c_9916,c_9915,c_9913,c_9912,c_9911,c_9910,c_9909,c_9908,c_9907,c_9866,c_9860,c_9859,c_9732,c_9731,c_9730,c_9729,c_9728,c_9727,c_9726,c_9725,c_9724,c_9723,c_9722,c_9721,c_9720,c_9719,c_9718,c_9717,c_9716,c_9715,c_9714,c_9713,c_9712,c_9711,c_9710,c_9709,c_9703,c_9697,c_9689,c_9682,c_9676,c_9573,c_9572,c_9571,c_9570,c_9569,c_9568,c_9567,c_9566,c_9565,c_9564,c_9563,c_9562,c_9561,c_9560,c_9559,c_9558,c_9555,c_9554,c_9553,c_9552,c_9551,c_9466,c_9465,c_9464,c_9463,c_9462,c_9461,c_9460,c_9459,c_9458,c_9457,c_9456,c_9455,c_9454,c_9453,c_9447,c_9446,c_9445,c_9444,c_9205,c_9204,c_9203,c_9202,c_9201,c_9200,c_9199,c_9198,c_9197,c_9196,c_9195,c_9194,c_9193,c_9192,c_9191,c_9190,c_9189,c_9188,c_9187,c_9186,c_9185,c_9184,c_9183,c_9139,c_9138,c_9137,c_9140,c_9141,c_9129,c_9128,c_9127,c_9130,c_9131,c_9119,c_9118,c_9120,c_9121,c_9110,c_9109,c_9111,c_9112,c_9049,c_9048,c_9047,c_9050,c_9051,c_9039,c_9038,c_9037,c_9040,c_9041,c_9029,c_9028,c_9030,c_9031,c_9020,c_9019,c_9021,c_9022,c_8961,c_8960,c_8963,c_8964,c_8823,c_8822,c_8824,c_8825,c_8771,c_8770,c_8772,c_8773,c_8762,c_8763,c_8753,c_8747,c_8739,c_8733,c_8667,c_8666,c_8665,c_8664,c_8663,c_8662,c_8661,c_8660,c_8659,c_8658,c_8657,c_8656,c_8655,c_8654,c_8653,c_8652,c_8651,c_8650,c_8649,c_8648,c_8647,c_8646,c_8645,c_8644,c_8643,c_8642,c_8641,c_8640,c_8639,c_8638,c_8637,c_8636,c_8635,c_8634,c_8633,c_8632,c_8631,c_8630,c_8629,c_8628,c_8627,c_8626,c_8625,c_8624,c_8623,c_8622,c_8621,c_8620,c_8619,c_8616,c_8431,c_8430,c_8429,c_8428,c_8427,c_8426,c_8425,c_8424,c_8423,c_8422,c_8421,c_8420,c_8419,c_8418,c_8417,c_8416,c_8415,c_8414,c_8413,c_8412,c_8411,c_8410,c_8409,c_8408,c_8407,c_8406,c_8405,c_8404,c_8403,c_8402,c_8401,c_8400,c_8399,c_8398,c_8397,c_8396,c_8395,c_8394,c_8393,c_8392,c_8391,c_8390,c_8389,c_8388,c_8387,c_8386,c_8385,c_8384,c_8383,c_8380,c_8375,c_8374,c_8376,c_8377,c_8367,c_8366,c_8368,c_8369,c_8337,c_8336,c_8338,c_8339,c_8330,c_8331,c_8323,c_8322,c_8321,c_8320,c_8319,c_8318,c_8317,c_8316,c_8315,c_8314,c_8313,c_8312,c_8306,c_8305,c_8304,c_8301,c_8302,c_8293,c_8294,c_8286,c_8281,c_8122,c_8121,c_8120,c_8119,c_8118,c_8117,c_8116,c_8115,c_8114,c_8113,c_8112,c_8111,c_8110,c_8109,c_8108,c_8107,c_8106,c_8105,c_8104,c_8103,c_8102,c_8101,c_8100,c_8099,c_8098,c_8097,c_8096,c_8095,c_8094,c_8093,c_8092,c_8091,c_8090,c_8089,c_8088,c_8087,c_8086,c_8085,c_8084,c_8083,c_8082,c_8081,c_8080,c_8079,c_8078,c_8077,c_8076,c_8075,c_8073,c_8035,c_8034,c_8036,c_8037,c_8029,c_8028,c_8027,c_8026,c_8025,c_8024,c_8023,c_8022,c_8021,c_8020,c_8019,c_8016,c_8013,c_8012,c_8011,c_8005,c_8004,c_8006,c_8007,c_7997,c_7996,c_7998,c_7999,c_7989,c_7988,c_7990,c_7991,c_7982,c_7983,c_7973,c_7972,c_7971,c_7974,c_7975,c_7964,c_7963,c_7962,c_7965,c_7966,c_7955,c_7954,c_7953,c_7956,c_7957,c_7946,c_7945,c_7944,c_7947,c_7948,c_7940,c_7941,c_7759,c_7760,c_7752,c_7753,c_7744,c_7745,c_7737,c_7732,c_7592,c_7591,c_7590,c_7589,c_7588,c_7587,c_7586,c_7585,c_7584,c_7583,c_7582,c_7581,c_7580,c_7579,c_7578,c_7577,c_7576,c_7575,c_7574,c_7573,c_7572,c_7571,c_7570,c_7569,c_7568,c_7567,c_7566,c_7565,c_7564,c_7563,c_7562,c_7561,c_7560,c_7559,c_7558,c_7557,c_7556,c_7555,c_7554,c_7553,c_7552,c_7551,c_7550,c_7549,c_7548,c_7547,c_7546,c_7544,c_7542,c_7525,c_7524,c_7523,c_7526,c_7527,c_7473,c_7472,c_7471,c_7474,c_7475,c_7465,c_7464,c_7463,c_7462,c_7461,c_7457,c_7455,c_7454,c_7453,c_7452,c_7448,c_7441,c_7439,c_7442,c_7443,c_7444,c_7405,c_7404,c_7403,c_7406,c_7407,c_7400,c_7395,c_7394,c_7393,c_7396,c_7397,c_7390,c_7356,c_7354,c_7357,c_7358,c_7350,c_7359,c_7314,c_7132,c_7131,c_7130,c_7129,c_7128,c_7127,c_7126,c_7125,c_7124,c_7123,c_7122,c_7121,c_7120,c_7119,c_7118,c_7117,c_7116,c_7115,c_7114,c_7113,c_7112,c_7111,c_7110,c_7109,c_7108,c_7107,c_7106,c_7105,c_7104,c_7103,c_7102,c_7101,c_7100,c_7099,c_7098,c_7097,c_7096,c_7095,c_7094,c_7093,c_7092,c_7091,c_7090,c_7089,c_7088,c_7087,c_7086,c_7084,c_7079,c_7078,c_7080,c_7081,c_7049,c_7048,c_7050,c_7051,c_7043,c_7042,c_7041,c_7040,c_7039,c_7038,c_7037,c_7036,c_7035,c_7032,c_7031,c_7029,c_7028,c_7027,c_7024,c_7025,c_7016,c_7017,c_6965,c_6966,c_6953,c_6951,c_6954,c_6955,c_6956,c_6943,c_6942,c_6941,c_6944,c_6945,c_6902,c_6901,c_6900,c_6903,c_6904,c_6892,c_6890,c_6893,c_6894,c_6895,c_6882,c_6880,c_6883,c_6884,c_6873,c_6872,c_6871,c_6874,c_6875,c_6864,c_6863,c_6862,c_6865,c_6866,c_6804,c_6802,c_6805,c_6806,c_6798,c_6799,c_6790,c_6791,c_6782,c_6783,c_6558,c_6557,c_6556,c_6555,c_6554,c_6553,c_6552,c_6551,c_6550,c_6549,c_6548,c_6546,c_6545,c_6544,c_6543,c_6542,c_6541,c_6540,c_6539,c_6538,c_6537,c_6536,c_6535,c_6534,c_6533,c_6532,c_6531,c_6530,c_6529,c_6528,c_6527,c_6526,c_6525,c_6524,c_6523,c_6522,c_6521,c_6520,c_6519,c_6518,c_6517,c_6516,c_6515,c_6514,c_6513,c_6510,c_6491,c_6489,c_6492,c_6493,c_6485,c_6480,c_6479,c_6478,c_6481,c_6482,c_6475,c_6449,c_6448,c_6447,c_6450,c_6451,c_6444,c_6389,c_6387,c_6390,c_6391,c_6382,c_6381,c_6379,c_6377,c_6374,c_6361,c_6360,c_6359,c_6356,c_6279,c_6278,c_6277,c_6276,c_6275,c_6274,c_6273,c_6272,c_6271,c_6270,c_6269,c_6267,c_6266,c_6265,c_6264,c_6263,c_6262,c_6261,c_6260,c_6259,c_6258,c_6257,c_6256,c_6255,c_6254,c_6253,c_6252,c_6251,c_6250,c_6249,c_6248,c_6247,c_6246,c_6245,c_6244,c_6243,c_6242,c_6241,c_6240,c_6239,c_6238,c_6237,c_6236,c_6235,c_6234,c_6231,c_6088,c_6087,c_6086,c_6085,c_6084,c_6083,c_6082,c_6081,c_6080,c_6079,c_6078,c_6076,c_6075,c_6074,c_6073,c_6072,c_6071,c_6070,c_6069,c_6068,c_6067,c_6066,c_6065,c_6064,c_6063,c_6062,c_6061,c_6060,c_6059,c_6058,c_6057,c_6056,c_6055,c_6054,c_6053,c_6052,c_6051,c_6050,c_6049,c_6048,c_6047,c_6046,c_6045,c_6044,c_6043,c_6040,c_5969,c_5970,c_5961,c_5962,c_5941,c_5942,c_5936,c_5935,c_5934,c_5933,c_5932,c_5931,c_5928,c_5927,c_5926,c_5925,c_5924,c_5923,c_5851,c_5850,c_5849,c_5848,c_5847,c_5846,c_5845,c_5844,c_5843,c_5842,c_5841,c_5840,c_5839,c_5838,c_5837,c_5814,c_5813,c_5812,c_5811,c_5810,c_5809,c_5808,c_5807,c_5806,c_5805,c_5804,c_5803,c_5802,c_5801,c_5800,c_5767,c_5766,c_5765,c_5764,c_5763,c_5762,c_5761,c_5760,c_5759,c_5758,c_5757,c_5756,c_5755,c_5754,c_5753,c_5698,c_5697,c_5696,c_5695,c_5694,c_5693,c_5692,c_5691,c_5690,c_5689,c_5688,c_5687,c_5686,c_5685,c_5684,c_5627,c_5626,c_5625,c_5624,c_5623,c_5622,c_5621,c_5620,c_5619,c_5618,c_5617,c_5616,c_5615,c_5614,c_5613,c_8962,c_8761,c_5546,c_5545,c_5544,c_5543,c_5542,c_5541,c_5540,c_5539,c_5538,c_5537,c_5536,c_5535,c_5534,c_5533,c_5532,c_5491,c_5490,c_5489,c_5488,c_5487,c_5486,c_5485,c_5484,c_5483,c_5482,c_5481,c_5480,c_5479,c_5478,c_5477,c_5377,c_5376,c_5375,c_5374,c_5373,c_5372,c_5371,c_5370,c_5369,c_5368,c_5367,c_5366,c_5365,c_5364,c_5363,c_5360,c_5359,c_5358,c_5357,c_5356,c_5355,c_5349,c_5348,c_5347,c_5344,c_5345,c_5336,c_5337,c_5329,c_5324,c_5200,c_5199,c_5198,c_5197,c_5196,c_5195,c_5194,c_5193,c_5192,c_5191,c_5190,c_5189,c_5188,c_5187,c_5186,c_5185,c_5184,c_5183,c_5182,c_5181,c_5180,c_5179,c_5178,c_5177,c_5176,c_5175,c_5174,c_5173,c_5172,c_5171,c_5170,c_5169,c_5168,c_5167,c_5166,c_5165,c_5163,c_5148,c_5147,c_5150,c_5151,c_5132,c_5131,c_5130,c_5129,c_5128,c_5125,c_5122,c_5121,c_5120,c_5049,c_5048,c_5047,c_5046,c_5045,c_5044,c_5043,c_5042,c_5041,c_5040,c_5039,c_5038,c_5037,c_5036,c_4931,c_4930,c_4929,c_4928,c_4927,c_4926,c_4925,c_4924,c_4923,c_4922,c_4921,c_4920,c_4919,c_4918,c_4838,c_4837,c_4836,c_4835,c_4834,c_4833,c_4832,c_4831,c_4830,c_4829,c_4828,c_4827,c_4826,c_4825,c_4779,c_4778,c_4777,c_4776,c_4775,c_4774,c_4773,c_4772,c_4771,c_4770,c_4769,c_4768,c_4767,c_4766,c_4761,c_4760,c_4762,c_4763,c_4753,c_4752,c_4754,c_4755,c_4721,c_4720,c_4722,c_4723,c_4687,c_4686,c_4688,c_4689,c_4670,c_4671,c_4662,c_4663,c_4643,c_4644,c_4635,c_4636,c_4628,c_4623,c_4551,c_4550,c_4549,c_4548,c_4547,c_4546,c_4545,c_4544,c_4543,c_4542,c_4541,c_4540,c_4539,c_4538,c_4537,c_4536,c_4535,c_4534,c_4533,c_4532,c_4531,c_4530,c_4529,c_4528,c_4527,c_4526,c_4525,c_4524,c_4523,c_4522,c_4521,c_4519,c_4517,c_4478,c_4477,c_4479,c_4480,c_4474,c_4405,c_4404,c_4406,c_4407,c_4401,c_4368,c_4367,c_4369,c_4370,c_4351,c_4350,c_4352,c_4353,c_4343,c_4342,c_4341,c_4344,c_4345,c_4285,c_4284,c_4283,c_4286,c_4287,c_4258,c_4257,c_4256,c_4259,c_4260,c_4231,c_4230,c_4229,c_4232,c_4233,c_4226,c_4142,c_4141,c_4140,c_4139,c_4138,c_4137,c_4136,c_4135,c_4134,c_4133,c_4132,c_4131,c_4130,c_4129,c_4128,c_4127,c_4126,c_4125,c_4124,c_4123,c_4122,c_4121,c_4120,c_4119,c_4118,c_4117,c_4116,c_4115,c_4114,c_4113,c_4112,c_4110,c_4086,c_4085,c_4084,c_4087,c_4088,c_4064,c_4063,c_4062,c_4065,c_4066,c_4044,c_4043,c_4042,c_4039,c_4038,c_4036,c_4035,c_4034,c_4031,c_4032,c_4022,c_4023,c_4004,c_4005,c_3974,c_3973,c_3972,c_3975,c_3976,c_3969,c_3964,c_3963,c_3962,c_3965,c_3966,c_3959,c_3932,c_3931,c_3930,c_3933,c_3934,c_3904,c_3903,c_3902,c_3905,c_3906,c_3871,c_3870,c_3869,c_3868,c_3867,c_3866,c_3865,c_3864,c_3863,c_3862,c_3861,c_3860,c_3844,c_3843,c_3842,c_3841,c_3840,c_3839,c_3838,c_3837,c_3836,c_3835,c_3834,c_3833,c_3830,c_3831,c_3823,c_3824,c_3779,c_3780,c_3772,c_3695,c_3693,c_3691,c_3690,c_3689,c_3688,c_3687,c_3686,c_3685,c_3678,c_3677,c_3621,c_3619,c_3617,c_3611,c_3610,c_3609,c_3608,c_3607,c_3605,c_3604,c_3899,c_3530,c_3529,c_3528,c_3527,c_3526,c_3525,c_3524,c_3523,c_3522,c_3521,c_3520,c_3519,c_3897,c_3481,c_3480,c_3479,c_3478,c_3477,c_3476,c_3475,c_3474,c_3473,c_3472,c_3471,c_3470,c_3433,c_3432,c_3431,c_3430,c_3429,c_3428,c_3427,c_3426,c_3425,c_3424,c_3423,c_3422,c_3388,c_3387,c_3386,c_3385,c_3384,c_3383,c_3382,c_3381,c_3380,c_3379,c_3378,c_3377,c_3345,c_3344,c_3343,c_3342,c_3341,c_3340,c_3339,c_3338,c_3337,c_3336,c_3335,c_3334,c_8760,c_3274,c_3273,c_3272,c_3271,c_3270,c_3269,c_3268,c_3267,c_3266,c_3265,c_3264,c_3263,c_3231,c_3230,c_3229,c_3228,c_3227,c_3226,c_3225,c_3224,c_3223,c_3222,c_3221,c_3220,c_3183,c_3182,c_3181,c_3180,c_3179,c_3178,c_3177,c_3176,c_3175,c_3174,c_3173,c_3172,c_3127,c_3126,c_3125,c_3124,c_3123,c_3122,c_3121,c_3120,c_3119,c_3118,c_3117,c_3116,c_3115,c_3114,c_3113,c_3112,c_3111,c_3110,c_3109,c_3108,c_3105,c_3036,c_3035,c_3034,c_3033,c_3032,c_3031,c_3030,c_3029,c_3028,c_3027,c_3026,c_3025,c_3024,c_3023,c_3022,c_3021,c_3020,c_2905,c_2904,c_2903,c_2902,c_2901,c_2900,c_2899,c_2898,c_2897,c_2896,c_2895,c_2894,c_2893,c_2892,c_2891,c_2890,c_2889,c_2861,c_2849,c_2848,c_2846,c_2779,c_2778,c_2777,c_2776,c_2775,c_2774,c_2773,c_2772,c_2771,c_2770,c_2769,c_2729,c_2728,c_2727,c_2726,c_2725,c_2724,c_2723,c_2722,c_2721,c_2720,c_2719,c_2656,c_2655,c_2654,c_2653,c_2652,c_2651,c_2650,c_2649,c_2648,c_2647,c_2646,c_2628,c_2627,c_2626,c_2625,c_2624,c_2623,c_2622,c_2621,c_2620,c_2619,c_2618,c_2592,c_2591,c_2590,c_2589,c_2588,c_2587,c_2586,c_2585,c_2584,c_2583,c_2582,c_17746,c_16296,c_2508,c_2507,c_2506,c_2505,c_2504,c_2503,c_2502,c_2501,c_2500,c_2499,c_2498,c_2455,c_2454,c_2453,c_2452,c_2451,c_2450,c_2449,c_2448,c_2447,c_2446,c_2445,c_2444,c_2443,c_2442,c_2439,c_2322,c_2321,c_2320,c_2319,c_2318,c_2317,c_2316,c_2315,c_2314,c_2313,c_2312,c_2311,c_2310,c_2309,c_2306,c_2298,c_2297,c_2296,c_2295,c_2294,c_2293,c_2292,c_2291,c_2290,c_2258,c_2257,c_2256,c_2255,c_2254,c_2253,c_2252,c_2251,c_2250,c_2224,c_2223,c_2222,c_2221,c_2220,c_2219,c_2218,c_2217,c_2200,c_2199,c_2198,c_2197,c_2196,c_2195,c_2194,c_2193,c_2192,c_2191,c_2190,c_2189,c_2188,c_2187,c_2186,c_2165,c_2164,c_2163,c_2162,c_2161,c_2160,c_2157,c_2155,c_2154,c_2153,c_2152,c_2151,c_2150,c_2124,c_2123,c_2122,c_2121,c_2120,c_2107,c_2105,c_2104,c_2103,c_2102,c_2101,c_2091,c_2090,c_5149,c_2083,c_2082,c_2078,c_2077,c_2073,c_2072,c_2068,c_2067,c_2047,c_2046,c_2045,c_2044,c_2043,c_2042,c_2041,c_2011,c_2010,c_2009,c_2008,c_2007,c_2006,c_2005,c_2004,c_1974,c_1973,c_1972,c_1971,c_1970,c_1969,c_1968,c_1967,c_1942,c_1941,c_1940,c_1939,c_1928,c_1927,c_1926,c_1925,c_1914,c_1913,c_1912,c_1911,c_1910,c_1908,c_1907,c_1906,c_1905,c_1904,c_1903,c_1902,c_1901,c_1900,c_1899,c_1898,c_1896,c_1895,c_1894,c_1893,c_1892,c_1891,c_161,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_106,c_103,c_102,c_101,c_99,c_98,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM468+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 04:07:46 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 171.52/24.99 % SZS status Started for theBenchmark.p
% 171.52/24.99 % SZS status Theorem for theBenchmark.p
% 171.52/24.99
% 171.52/24.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 171.52/24.99
% 171.52/24.99 % ------ iProver source info
% 171.52/24.99
% 171.52/24.99 % git: date: 2026-07-19 20:42:38 +0200
% 171.52/24.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 171.52/24.99 % git: non_committed_changes: false
% 171.52/24.99
% 171.52/24.99 % ------ Parsing...
% 171.52/24.99 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 171.52/24.99
% 171.52/24.99 % ------ 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 %
% 171.52/24.99
% 171.52/24.99 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 171.52/24.99
% 171.52/24.99 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 171.52/24.99 % ------ Proving...
% 171.52/24.99 % ------ Problem Properties
% 171.52/24.99
% 171.52/24.99 %
% 171.52/24.99 % clauses 62
% 171.52/24.99 % conjectures 6
% 171.52/24.99 % EPR 17
% 171.52/24.99 % Horn 49
% 171.52/24.99 % unary 18
% 171.52/24.99 % binary 7
% 171.52/24.99 % lits 197
% 171.52/24.99 % lits eq 55
% 171.52/24.99 % fd_pure 0
% 171.52/24.99 % fd_pseudo 0
% 171.52/24.99 % fd_cond 6
% 171.52/24.99 % fd_pseudo_cond 9
% 171.52/24.99 % AC symbols 0
% 171.52/24.99
% 171.52/24.99 % ------ Input Options Time Limit: Unbounded
% 171.52/24.99
% 171.52/24.99
% 171.52/24.99 % ------
% 171.52/24.99 % Current options:
% 171.52/24.99 % ------
% 171.52/24.99
% 171.52/24.99
% 171.52/24.99 %
% 171.52/24.99
% 171.52/24.99 % ------ Proving...
% 171.52/24.99 %
% 171.52/24.99
% 171.52/24.99 % SZS status Theorem for theBenchmark.p
% 171.52/24.99
% 171.52/24.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 178.67/25.20
% 178.67/25.20
%------------------------------------------------------------------------------