%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM468+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.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 02:24:34 PM UTC 2026
% Result : Theorem 173.19s 24.09s
% Output : CNFRefutation 173.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 8251 (4212 unt; 0 def)
% Number of atoms : 20521 (11241 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 23136 (10866 ~;12188 |; 52 &)
% ( 6 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 4606 ( 0 sgn4601 !; 5 ?;4424 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X1 = sz00
& X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& X0 != sz00 )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f33,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240) ).
fof(f34,axiom,
( doDivides0(xl,xn)
& doDivides0(xl,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240_04) ).
fof(f35,conjecture,
( xl != sz00
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f36,negated_conjecture,
~ ( xl != sz00
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f40,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f41,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f43,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f45,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f44]) ).
fof(f46,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(f47,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f49,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f50,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f49]) ).
fof(f51,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(f52,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f51]) ).
fof(f54,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f55,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(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(flattening,[],[f55]) ).
fof(f57,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(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(flattening,[],[f57]) ).
fof(f59,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(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(flattening,[],[f59]) ).
fof(f61,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f62,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f64,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f63]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f31]) ).
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(flattening,[],[f86]) ).
fof(f90,plain,
( xl != sz00
& sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(ennf_transformation,[],[f36]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f97,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,[],[f96]) ).
fof(f98,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))],[f97]) ).
fof(f99,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,[],[f87]) ).
fof(f100,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,[],[f99]) ).
fof(f101,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f104,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f105,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f106,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f108,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f48]) ).
fof(f109,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f48]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f114,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f115,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f54]) ).
fof(f116,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,[],[f56]) ).
fof(f117,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,[],[f56]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f122,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f123,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f124,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| sdtasdt0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f152,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,[],[f100]) ).
fof(f154,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f33]) ).
fof(f155,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f33]) ).
fof(f156,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f33]) ).
fof(f157,plain,
doDivides0(xl,xn),
inference(cnf_transformation,[],[f34]) ).
fof(f158,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f34]) ).
fof(f159,plain,
sz00 != xl,
inference(cnf_transformation,[],[f90]) ).
fof(f160,plain,
sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(cnf_transformation,[],[f90]) ).
fof(f167,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f149]) ).
fof(f168,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,[],[f152]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f151]) ).
fof(f170,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f150]) ).
tcf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f101]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f106]) ).
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,[],[f107]) ).
tcf(c_56,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_57,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f110]) ).
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,[],[f111]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_63,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f114]) ).
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,[],[f117]) ).
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,[],[f116]) ).
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,[],[f119]) ).
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,[],[f118]) ).
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,[],[f121]) ).
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,[],[f120]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
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,[],[f168]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
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,[],[f170]) ).
tcf(c_101,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f156]) ).
tcf(c_102,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f155]) ).
tcf(c_103,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f154]) ).
tcf(c_104,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f158]) ).
tcf(c_105,plain,
doDivides0(xl,xn),
inference(cnf_transformation,[],[f157]) ).
tcf(c_106,negated_conjecture,
sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtpldt0(xm,xn),
inference(cnf_transformation,[],[f160]) ).
tcf(c_107,negated_conjecture,
sz00 != xl,
inference(cnf_transformation,[],[f159]) ).
tcf(c_140,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_153,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_140]) ).
tcf(c_1819,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_56]) ).
tcf(c_1820,plain,
sdtpldt0(xl,sz00) = xl,
inference(superposition,[status(thm)],[c_101,c_56]) ).
tcf(c_1821,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_102,c_56]) ).
tcf(c_1822,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_103,c_56]) ).
tcf(c_1824,plain,
sdtpldt0(sz00,xl) = xl,
inference(superposition,[status(thm)],[c_101,c_57]) ).
tcf(c_1825,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_102,c_57]) ).
tcf(c_1826,plain,
sdtpldt0(sz00,xn) = xn,
inference(superposition,[status(thm)],[c_103,c_57]) ).
tcf(c_1827,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_62]) ).
tcf(c_1828,plain,
sdtasdt0(xl,sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_62]) ).
tcf(c_1829,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_62]) ).
tcf(c_1830,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_62]) ).
tcf(c_1832,plain,
sdtasdt0(sz00,xl) = sz00,
inference(superposition,[status(thm)],[c_101,c_63]) ).
tcf(c_1833,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_102,c_63]) ).
tcf(c_1834,plain,
sdtasdt0(sz00,xn) = sz00,
inference(superposition,[status(thm)],[c_103,c_63]) ).
tcf(c_1842,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_1843,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_1844,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_1845,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_1855,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_1856,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_1857,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_1858,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_1863,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_54]) ).
tcf(c_1864,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_1865,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_1866,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xl) = sdtpldt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_54]) ).
tcf(c_1867,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_54]) ).
tcf(c_1868,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xn) = sdtpldt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_54]) ).
tcf(c_1885,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_58]) ).
tcf(c_1886,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_1887,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_1888,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xl) = sdtasdt0(xl,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_58]) ).
tcf(c_1889,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_58]) ).
tcf(c_1890,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xn) = sdtasdt0(xn,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_58]) ).
tcf(c_1921,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_1863]) ).
tcf(c_1922,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_1863]) ).
tcf(c_1923,plain,
sdtpldt0(sz00,xl) = sdtpldt0(xl,sz00),
inference(superposition,[status(thm)],[c_101,c_1863]) ).
tcf(c_1924,plain,
sdtpldt0(sz00,xm) = sdtpldt0(xm,sz00),
inference(superposition,[status(thm)],[c_102,c_1863]) ).
tcf(c_1925,plain,
sdtpldt0(sz00,xn) = sdtpldt0(xn,sz00),
inference(superposition,[status(thm)],[c_103,c_1863]) ).
tcf(c_1927,plain,
( aNaturalNumber0(sdtpldt0(sz00,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_1923,c_52]) ).
tcf(c_1930,plain,
( aNaturalNumber0(sdtpldt0(sz00,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_1924,c_52]) ).
tcf(c_1933,plain,
( aNaturalNumber0(sdtpldt0(sz00,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_1925,c_52]) ).
tcf(c_1935,plain,
aNaturalNumber0(sdtpldt0(sz00,xl)),
inference(global_subsumption_just,[status(thm)],[c_1927,c_101,c_49,c_1927]) ).
tcf(c_1938,plain,
sdtpldt0(sdtpldt0(sz00,xl),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_1935,c_1863]) ).
tcf(c_1939,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,xl),X0) = sdtasdt0(X0,sdtpldt0(sz00,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1935,c_58]) ).
tcf(c_1940,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,xl),X0) = sdtpldt0(X0,sdtpldt0(sz00,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1935,c_54]) ).
tcf(c_1941,plain,
sdtasdt0(sz00,sdtpldt0(sz00,xl)) = sz00,
inference(superposition,[status(thm)],[c_1935,c_63]) ).
tcf(c_1942,plain,
sdtasdt0(sdtpldt0(sz00,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_1935,c_62]) ).
tcf(c_1943,plain,
sdtpldt0(sz00,sdtpldt0(sz00,xl)) = sdtpldt0(sz00,xl),
inference(superposition,[status(thm)],[c_1935,c_57]) ).
tcf(c_1944,plain,
sdtpldt0(sdtpldt0(sz00,xl),sz00) = sdtpldt0(sz00,xl),
inference(superposition,[status(thm)],[c_1935,c_56]) ).
tcf(c_1967,plain,
aNaturalNumber0(sdtpldt0(sz00,xm)),
inference(global_subsumption_just,[status(thm)],[c_1930,c_102,c_49,c_1930]) ).
tcf(c_1970,plain,
sdtpldt0(sdtpldt0(sz00,xm),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_1967,c_1863]) ).
tcf(c_1971,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,xm),X0) = sdtasdt0(X0,sdtpldt0(sz00,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1967,c_58]) ).
tcf(c_1972,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,xm),X0) = sdtpldt0(X0,sdtpldt0(sz00,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1967,c_54]) ).
tcf(c_1973,plain,
sdtasdt0(sz00,sdtpldt0(sz00,xm)) = sz00,
inference(superposition,[status(thm)],[c_1967,c_63]) ).
tcf(c_1974,plain,
sdtasdt0(sdtpldt0(sz00,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_1967,c_62]) ).
tcf(c_1975,plain,
sdtpldt0(sz00,sdtpldt0(sz00,xm)) = sdtpldt0(sz00,xm),
inference(superposition,[status(thm)],[c_1967,c_57]) ).
tcf(c_1976,plain,
sdtpldt0(sdtpldt0(sz00,xm),sz00) = sdtpldt0(sz00,xm),
inference(superposition,[status(thm)],[c_1967,c_56]) ).
tcf(c_1980,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_1986,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ( sdtpldt0(sz00,xl) != sz00 ) ),
inference(superposition,[status(thm)],[c_1923,c_70]) ).
tcf(c_1988,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ( sdtpldt0(sz00,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_1924,c_70]) ).
tcf(c_1990,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ( sdtpldt0(sz00,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_1925,c_70]) ).
tcf(c_2012,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_1863]) ).
tcf(c_2013,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_2014,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_2015,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_2016,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_2017,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_2018,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_2029,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_153]) ).
tcf(c_2030,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_153]) ).
tcf(c_2031,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_153]) ).
tcf(c_2032,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtsldt0(sdtasdt0(xl,X0),xl) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_153]) ).
tcf(c_2033,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtsldt0(sdtasdt0(xm,X0),xm) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_153]) ).
tcf(c_2034,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtsldt0(sdtasdt0(xn,X0),xn) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_153]) ).
tcf(c_2035,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,xl),X0),sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1935,c_153]) ).
tcf(c_2036,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,xm),X0),sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1967,c_153]) ).
tcf(c_2063,plain,
aNaturalNumber0(sdtpldt0(sz00,xn)),
inference(global_subsumption_just,[status(thm)],[c_1933,c_103,c_49,c_1933]) ).
tcf(c_2066,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,xn),X0),sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2063,c_153]) ).
tcf(c_2067,plain,
sdtpldt0(sdtpldt0(sz00,xn),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_2063,c_1863]) ).
tcf(c_2068,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,xn),X0) = sdtasdt0(X0,sdtpldt0(sz00,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2063,c_58]) ).
tcf(c_2069,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,xn),X0) = sdtpldt0(X0,sdtpldt0(sz00,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2063,c_54]) ).
tcf(c_2070,plain,
sdtasdt0(sz00,sdtpldt0(sz00,xn)) = sz00,
inference(superposition,[status(thm)],[c_2063,c_63]) ).
tcf(c_2071,plain,
sdtasdt0(sdtpldt0(sz00,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_2063,c_62]) ).
tcf(c_2072,plain,
sdtpldt0(sz00,sdtpldt0(sz00,xn)) = sdtpldt0(sz00,xn),
inference(superposition,[status(thm)],[c_2063,c_57]) ).
tcf(c_2073,plain,
sdtpldt0(sdtpldt0(sz00,xn),sz00) = sdtpldt0(sz00,xn),
inference(superposition,[status(thm)],[c_2063,c_56]) ).
tcf(c_2118,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_1866]) ).
tcf(c_2119,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_1866]) ).
tcf(c_2120,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_1866]) ).
tcf(c_2122,plain,
sdtpldt0(xl,xm) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_102,c_1866]) ).
tcf(c_2123,plain,
sdtpldt0(xl,xn) = sdtpldt0(xn,xl),
inference(superposition,[status(thm)],[c_103,c_1866]) ).
tcf(c_2124,plain,
sdtpldt0(sdtpldt0(sz00,xl),xl) = sdtpldt0(xl,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_1935,c_1866]) ).
tcf(c_2125,plain,
sdtpldt0(sdtpldt0(sz00,xm),xl) = sdtpldt0(xl,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_1967,c_1866]) ).
tcf(c_2126,plain,
sdtpldt0(sdtpldt0(sz00,xn),xl) = sdtpldt0(xl,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_2063,c_1866]) ).
tcf(c_2129,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_2122,c_71]) ).
tcf(c_2130,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_2122,c_70]) ).
tcf(c_2131,plain,
( aNaturalNumber0(sdtpldt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2122,c_52]) ).
tcf(c_2144,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_2123,c_71]) ).
tcf(c_2145,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtpldt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_2123,c_70]) ).
tcf(c_2146,plain,
( aNaturalNumber0(sdtpldt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_2123,c_52]) ).
tcf(c_2150,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_2151,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_2152,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_2153,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_2154,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_2155,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_2156,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_2157,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_1935,c_55]) ).
tcf(c_2158,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_1967,c_55]) ).
tcf(c_2159,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_2063,c_55]) ).
tcf(c_2188,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_2189,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_2190,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_2191,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_2192,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_2193,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_2194,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_2195,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_1935,c_59]) ).
tcf(c_2196,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_1967,c_59]) ).
tcf(c_2197,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_2063,c_59]) ).
tcf(c_2315,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1819,c_66]) ).
tcf(c_2316,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != sdtpldt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_1923,c_66]) ).
tcf(c_2317,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xl,X0) != xl ) ),
inference(superposition,[status(thm)],[c_1820,c_66]) ).
tcf(c_2318,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_1924,c_66]) ).
tcf(c_2319,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != xm ) ),
inference(superposition,[status(thm)],[c_1821,c_66]) ).
tcf(c_2320,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_1925,c_66]) ).
tcf(c_2321,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != xn ) ),
inference(superposition,[status(thm)],[c_1822,c_66]) ).
tcf(c_2322,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xl ) ),
inference(superposition,[status(thm)],[c_1824,c_66]) ).
tcf(c_2323,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xm ) ),
inference(superposition,[status(thm)],[c_1825,c_66]) ).
tcf(c_2324,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sz00,X0) != xn ) ),
inference(superposition,[status(thm)],[c_1826,c_66]) ).
tcf(c_2325,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_1944,c_66]) ).
tcf(c_2326,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_1943,c_66]) ).
tcf(c_2327,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_1976,c_66]) ).
tcf(c_2328,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_1975,c_66]) ).
tcf(c_2329,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_2073,c_66]) ).
tcf(c_2330,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_2072,c_66]) ).
tcf(c_2331,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xm,X0) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_2122,c_66]) ).
tcf(c_2332,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_2123,c_66]) ).
tcf(c_2380,plain,
aNaturalNumber0(sdtpldt0(xl,xm)),
inference(global_subsumption_just,[status(thm)],[c_2131,c_102,c_101,c_2131]) ).
tcf(c_2382,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_2380,c_59]) ).
tcf(c_2383,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_2380,c_55]) ).
tcf(c_2384,plain,
sdtpldt0(sdtpldt0(xl,xm),xl) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2380,c_1866]) ).
tcf(c_2385,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xm),X0),sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2380,c_153]) ).
tcf(c_2386,plain,
sdtpldt0(sdtpldt0(xl,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2380,c_1863]) ).
tcf(c_2387,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xm),X0) = sdtasdt0(X0,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2380,c_58]) ).
tcf(c_2388,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xm),X0) = sdtpldt0(X0,sdtpldt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2380,c_54]) ).
tcf(c_2389,plain,
sdtasdt0(sz00,sdtpldt0(xl,xm)) = sz00,
inference(superposition,[status(thm)],[c_2380,c_63]) ).
tcf(c_2390,plain,
sdtasdt0(sdtpldt0(xl,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_2380,c_62]) ).
tcf(c_2391,plain,
sdtpldt0(sz00,sdtpldt0(xl,xm)) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_2380,c_57]) ).
tcf(c_2392,plain,
sdtpldt0(sdtpldt0(xl,xm),sz00) = sdtpldt0(xl,xm),
inference(superposition,[status(thm)],[c_2380,c_56]) ).
tcf(c_2471,plain,
aNaturalNumber0(sdtpldt0(xl,xn)),
inference(global_subsumption_just,[status(thm)],[c_2146,c_103,c_101,c_2146]) ).
tcf(c_2473,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_2471,c_59]) ).
tcf(c_2474,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_2471,c_55]) ).
tcf(c_2475,plain,
sdtpldt0(sdtpldt0(xl,xn),xl) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2471,c_1866]) ).
tcf(c_2476,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xn),X0),sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2471,c_153]) ).
tcf(c_2477,plain,
sdtpldt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2471,c_1863]) ).
tcf(c_2478,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xn),X0) = sdtasdt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2471,c_58]) ).
tcf(c_2479,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xn),X0) = sdtpldt0(X0,sdtpldt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2471,c_54]) ).
tcf(c_2480,plain,
sdtasdt0(sz00,sdtpldt0(xl,xn)) = sz00,
inference(superposition,[status(thm)],[c_2471,c_63]) ).
tcf(c_2481,plain,
sdtasdt0(sdtpldt0(xl,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_2471,c_62]) ).
tcf(c_2482,plain,
sdtpldt0(sz00,sdtpldt0(xl,xn)) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2471,c_57]) ).
tcf(c_2483,plain,
sdtpldt0(sdtpldt0(xl,xn),sz00) = sdtpldt0(xl,xn),
inference(superposition,[status(thm)],[c_2471,c_56]) ).
tcf(c_2525,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_2391,c_66]) ).
tcf(c_2531,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_2392,c_66]) ).
tcf(c_2536,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_2482,c_66]) ).
tcf(c_2542,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_2483,c_66]) ).
tcf(c_2544,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_1867]) ).
tcf(c_2545,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_1867]) ).
tcf(c_2546,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_1867]) ).
tcf(c_2549,plain,
sdtpldt0(xm,xn) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_103,c_1867]) ).
tcf(c_2550,plain,
sdtpldt0(sdtpldt0(sz00,xl),xm) = sdtpldt0(xm,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_1935,c_1867]) ).
tcf(c_2551,plain,
sdtpldt0(sdtpldt0(sz00,xm),xm) = sdtpldt0(xm,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_1967,c_1867]) ).
tcf(c_2552,plain,
sdtpldt0(sdtpldt0(sz00,xn),xm) = sdtpldt0(xm,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_2063,c_1867]) ).
tcf(c_2553,plain,
sdtpldt0(sdtpldt0(xl,xm),xm) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2380,c_1867]) ).
tcf(c_2554,plain,
sdtpldt0(sdtpldt0(xl,xn),xm) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2471,c_1867]) ).
tcf(c_2571,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_2549,c_71]) ).
tcf(c_2572,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtpldt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_2549,c_70]) ).
tcf(c_2573,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_2549,c_52]) ).
tcf(c_2574,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(xn,X0) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_2549,c_66]) ).
tcf(c_2599,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sz00 ) ),
inference(superposition,[status(thm)],[c_1819,c_67]) ).
tcf(c_2600,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_1923,c_67]) ).
tcf(c_2601,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xl ) ),
inference(superposition,[status(thm)],[c_1820,c_67]) ).
tcf(c_2602,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_1924,c_67]) ).
tcf(c_2603,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xm ) ),
inference(superposition,[status(thm)],[c_1821,c_67]) ).
tcf(c_2604,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != sdtpldt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_1925,c_67]) ).
tcf(c_2605,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz00) != xn ) ),
inference(superposition,[status(thm)],[c_1822,c_67]) ).
tcf(c_2606,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != xl ) ),
inference(superposition,[status(thm)],[c_1824,c_67]) ).
tcf(c_2607,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != xm ) ),
inference(superposition,[status(thm)],[c_1825,c_67]) ).
tcf(c_2608,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xn) != xn ) ),
inference(superposition,[status(thm)],[c_1826,c_67]) ).
tcf(c_2609,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xm) != sdtpldt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_2549,c_67]) ).
tcf(c_2610,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_1944,c_67]) ).
tcf(c_2611,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_1943,c_67]) ).
tcf(c_2612,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_1976,c_67]) ).
tcf(c_2613,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_1975,c_67]) ).
tcf(c_2614,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_2073,c_67]) ).
tcf(c_2615,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_2072,c_67]) ).
tcf(c_2616,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_2122,c_67]) ).
tcf(c_2617,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,xl) != sdtpldt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_2123,c_67]) ).
tcf(c_2618,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_2392,c_67]) ).
tcf(c_2619,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_2391,c_67]) ).
tcf(c_2620,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_2483,c_67]) ).
tcf(c_2621,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_2482,c_67]) ).
tcf(c_2691,plain,
! [X0: $i] :
( aNaturalNumber0(sdtpldt0(xl,X0))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_2695,plain,
( ( sz00 = xl )
| ( sdtasdt0(xl,sdtsldt0(xm,xl)) = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_104,c_99]) ).
tcf(c_2696,plain,
( ( sz00 = xl )
| ( sdtasdt0(xl,sdtsldt0(xn,xl)) = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_105,c_99]) ).
tcf(c_2707,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_2708,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_2709,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_2710,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_2711,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_2712,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_2713,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_2714,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_1935,c_64]) ).
tcf(c_2715,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_1967,c_64]) ).
tcf(c_2716,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_2063,c_64]) ).
tcf(c_2717,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_2380,c_64]) ).
tcf(c_2718,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_2471,c_64]) ).
tcf(c_2771,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_2772,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_2773,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_2774,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_2775,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_2776,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_2777,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_2778,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_1935,c_65]) ).
tcf(c_2779,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_1967,c_65]) ).
tcf(c_2780,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_2063,c_65]) ).
tcf(c_2781,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_2380,c_65]) ).
tcf(c_2782,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_2471,c_65]) ).
tcf(c_2812,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(global_subsumption_just,[status(thm)],[c_2573,c_103,c_102,c_1980]) ).
tcf(c_2814,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_2812,c_65]) ).
tcf(c_2815,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_2812,c_64]) ).
tcf(c_2816,plain,
sdtpldt0(sdtpldt0(xm,xn),xm) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_2812,c_1867]) ).
tcf(c_2817,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_2812,c_59]) ).
tcf(c_2818,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_2812,c_55]) ).
tcf(c_2819,plain,
sdtpldt0(sdtpldt0(xm,xn),xl) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_2812,c_1866]) ).
tcf(c_2820,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xn),X0),sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2812,c_153]) ).
tcf(c_2821,plain,
sdtpldt0(sdtpldt0(xm,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_2812,c_1863]) ).
tcf(c_2822,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xn),X0) = sdtasdt0(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2812,c_58]) ).
tcf(c_2823,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xn),X0) = sdtpldt0(X0,sdtpldt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2812,c_54]) ).
tcf(c_2824,plain,
sdtasdt0(sz00,sdtpldt0(xm,xn)) = sz00,
inference(superposition,[status(thm)],[c_2812,c_63]) ).
tcf(c_2825,plain,
sdtasdt0(sdtpldt0(xm,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_2812,c_62]) ).
tcf(c_2826,plain,
sdtpldt0(sz00,sdtpldt0(xm,xn)) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_2812,c_57]) ).
tcf(c_2827,plain,
sdtpldt0(sdtpldt0(xm,xn),sz00) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_2812,c_56]) ).
tcf(c_2893,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_2826,c_66]) ).
tcf(c_2894,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_2826,c_67]) ).
tcf(c_2901,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_2827,c_66]) ).
tcf(c_2902,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_2827,c_67]) ).
tcf(c_2958,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_1868]) ).
tcf(c_2959,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_1868]) ).
tcf(c_2960,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_1868]) ).
tcf(c_2964,plain,
sdtpldt0(sdtpldt0(xm,xn),xn) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_2812,c_1868]) ).
tcf(c_2965,plain,
sdtpldt0(sdtpldt0(sz00,xl),xn) = sdtpldt0(xn,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_1935,c_1868]) ).
tcf(c_2966,plain,
sdtpldt0(sdtpldt0(sz00,xm),xn) = sdtpldt0(xn,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_1967,c_1868]) ).
tcf(c_2967,plain,
sdtpldt0(sdtpldt0(sz00,xn),xn) = sdtpldt0(xn,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_2063,c_1868]) ).
tcf(c_2968,plain,
sdtpldt0(sdtpldt0(xl,xm),xn) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2380,c_1868]) ).
tcf(c_2969,plain,
sdtpldt0(sdtpldt0(xl,xn),xn) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2471,c_1868]) ).
tcf(c_3022,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_1885]) ).
tcf(c_3023,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_1885]) ).
tcf(c_3024,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_1885]) ).
tcf(c_3025,plain,
sdtasdt0(sz00,xl) = sdtasdt0(xl,sz00),
inference(superposition,[status(thm)],[c_101,c_1885]) ).
tcf(c_3026,plain,
sdtasdt0(sz00,xm) = sdtasdt0(xm,sz00),
inference(superposition,[status(thm)],[c_102,c_1885]) ).
tcf(c_3027,plain,
sdtasdt0(sz00,xn) = sdtasdt0(xn,sz00),
inference(superposition,[status(thm)],[c_103,c_1885]) ).
tcf(c_3028,plain,
sdtasdt0(sdtpldt0(xm,xn),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_2812,c_1885]) ).
tcf(c_3029,plain,
sdtasdt0(sdtpldt0(sz00,xl),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_1935,c_1885]) ).
tcf(c_3030,plain,
sdtasdt0(sdtpldt0(sz00,xm),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_1967,c_1885]) ).
tcf(c_3031,plain,
sdtasdt0(sdtpldt0(sz00,xn),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_2063,c_1885]) ).
tcf(c_3032,plain,
sdtasdt0(sdtpldt0(xl,xm),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2380,c_1885]) ).
tcf(c_3033,plain,
sdtasdt0(sdtpldt0(xl,xn),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2471,c_1885]) ).
tcf(c_3063,plain,
( aNaturalNumber0(sdtasdt0(sz00,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_3025,c_53]) ).
tcf(c_3078,plain,
( aNaturalNumber0(sdtasdt0(sz00,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_3026,c_53]) ).
tcf(c_3099,plain,
( aNaturalNumber0(sdtasdt0(sz00,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_3027,c_53]) ).
tcf(c_3101,plain,
aNaturalNumber0(sdtasdt0(sz00,xl)),
inference(global_subsumption_just,[status(thm)],[c_3063,c_101,c_49,c_3063]) ).
tcf(c_3104,plain,
sdtasdt0(sdtasdt0(sz00,xl),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_3101,c_1885]) ).
tcf(c_3105,plain,
sdtpldt0(sdtasdt0(sz00,xl),xn) = sdtpldt0(xn,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_3101,c_1868]) ).
tcf(c_3106,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_3101,c_65]) ).
tcf(c_3107,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_3101,c_64]) ).
tcf(c_3108,plain,
sdtpldt0(sdtasdt0(sz00,xl),xm) = sdtpldt0(xm,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_3101,c_1867]) ).
tcf(c_3109,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_3101,c_59]) ).
tcf(c_3110,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_3101,c_55]) ).
tcf(c_3111,plain,
sdtpldt0(sdtasdt0(sz00,xl),xl) = sdtpldt0(xl,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_3101,c_1866]) ).
tcf(c_3113,plain,
sdtpldt0(sdtasdt0(sz00,xl),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_3101,c_1863]) ).
tcf(c_3114,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,xl),X0) = sdtasdt0(X0,sdtasdt0(sz00,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3101,c_58]) ).
tcf(c_3115,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,xl),X0) = sdtpldt0(X0,sdtasdt0(sz00,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3101,c_54]) ).
tcf(c_3116,plain,
sdtasdt0(sz00,sdtasdt0(sz00,xl)) = sz00,
inference(superposition,[status(thm)],[c_3101,c_63]) ).
tcf(c_3117,plain,
sdtasdt0(sdtasdt0(sz00,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_3101,c_62]) ).
tcf(c_3118,plain,
sdtpldt0(sz00,sdtasdt0(sz00,xl)) = sdtasdt0(sz00,xl),
inference(superposition,[status(thm)],[c_3101,c_57]) ).
tcf(c_3119,plain,
sdtpldt0(sdtasdt0(sz00,xl),sz00) = sdtasdt0(sz00,xl),
inference(superposition,[status(thm)],[c_3101,c_56]) ).
tcf(c_3181,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sdtasdt0(sz00,xl) ) ),
inference(superposition,[status(thm)],[c_3025,c_68]) ).
tcf(c_3182,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xl,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1828,c_68]) ).
tcf(c_3183,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(sz00,xm) ) ),
inference(superposition,[status(thm)],[c_3026,c_68]) ).
tcf(c_3184,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1829,c_68]) ).
tcf(c_3185,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(sz00,xn) ) ),
inference(superposition,[status(thm)],[c_3027,c_68]) ).
tcf(c_3186,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_1830,c_68]) ).
tcf(c_3190,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_2825,c_68]) ).
tcf(c_3192,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_1942,c_68]) ).
tcf(c_3194,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_1974,c_68]) ).
tcf(c_3196,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_2071,c_68]) ).
tcf(c_3198,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_2390,c_68]) ).
tcf(c_3200,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_2481,c_68]) ).
tcf(c_3303,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sz00 ) ),
inference(superposition,[status(thm)],[c_1832,c_69]) ).
tcf(c_3304,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_1833,c_69]) ).
tcf(c_3305,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_1834,c_69]) ).
tcf(c_3307,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_1941,c_69]) ).
tcf(c_3309,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_1973,c_69]) ).
tcf(c_3311,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_2070,c_69]) ).
tcf(c_3313,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_2389,c_69]) ).
tcf(c_3315,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_2480,c_69]) ).
tcf(c_3317,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_2824,c_69]) ).
tcf(c_3340,plain,
aNaturalNumber0(sdtasdt0(sz00,xm)),
inference(global_subsumption_just,[status(thm)],[c_3078,c_102,c_49,c_3078]) ).
tcf(c_3343,plain,
sdtasdt0(sdtasdt0(sz00,xm),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_3340,c_1885]) ).
tcf(c_3344,plain,
sdtpldt0(sdtasdt0(sz00,xm),xn) = sdtpldt0(xn,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_3340,c_1868]) ).
tcf(c_3345,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_3340,c_65]) ).
tcf(c_3346,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_3340,c_64]) ).
tcf(c_3347,plain,
sdtpldt0(sdtasdt0(sz00,xm),xm) = sdtpldt0(xm,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_3340,c_1867]) ).
tcf(c_3348,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_3340,c_59]) ).
tcf(c_3349,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_3340,c_55]) ).
tcf(c_3350,plain,
sdtpldt0(sdtasdt0(sz00,xm),xl) = sdtpldt0(xl,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_3340,c_1866]) ).
tcf(c_3352,plain,
sdtpldt0(sdtasdt0(sz00,xm),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_3340,c_1863]) ).
tcf(c_3353,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,xm),X0) = sdtasdt0(X0,sdtasdt0(sz00,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3340,c_58]) ).
tcf(c_3354,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,xm),X0) = sdtpldt0(X0,sdtasdt0(sz00,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3340,c_54]) ).
tcf(c_3355,plain,
sdtasdt0(sz00,sdtasdt0(sz00,xm)) = sz00,
inference(superposition,[status(thm)],[c_3340,c_63]) ).
tcf(c_3356,plain,
sdtasdt0(sdtasdt0(sz00,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_3340,c_62]) ).
tcf(c_3357,plain,
sdtpldt0(sz00,sdtasdt0(sz00,xm)) = sdtasdt0(sz00,xm),
inference(superposition,[status(thm)],[c_3340,c_57]) ).
tcf(c_3358,plain,
sdtpldt0(sdtasdt0(sz00,xm),sz00) = sdtasdt0(sz00,xm),
inference(superposition,[status(thm)],[c_3340,c_56]) ).
tcf(c_3423,plain,
aNaturalNumber0(sdtasdt0(sz00,xn)),
inference(global_subsumption_just,[status(thm)],[c_3099,c_103,c_49,c_3099]) ).
tcf(c_3426,plain,
sdtasdt0(sdtasdt0(sz00,xn),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3423,c_1885]) ).
tcf(c_3427,plain,
sdtpldt0(sdtasdt0(sz00,xn),xn) = sdtpldt0(xn,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3423,c_1868]) ).
tcf(c_3428,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_3423,c_65]) ).
tcf(c_3429,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_3423,c_64]) ).
tcf(c_3430,plain,
sdtpldt0(sdtasdt0(sz00,xn),xm) = sdtpldt0(xm,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3423,c_1867]) ).
tcf(c_3431,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_3423,c_59]) ).
tcf(c_3432,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_3423,c_55]) ).
tcf(c_3433,plain,
sdtpldt0(sdtasdt0(sz00,xn),xl) = sdtpldt0(xl,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3423,c_1866]) ).
tcf(c_3435,plain,
sdtpldt0(sdtasdt0(sz00,xn),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3423,c_1863]) ).
tcf(c_3436,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,xn),X0) = sdtasdt0(X0,sdtasdt0(sz00,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3423,c_58]) ).
tcf(c_3437,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,xn),X0) = sdtpldt0(X0,sdtasdt0(sz00,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3423,c_54]) ).
tcf(c_3438,plain,
sdtasdt0(sz00,sdtasdt0(sz00,xn)) = sz00,
inference(superposition,[status(thm)],[c_3423,c_63]) ).
tcf(c_3439,plain,
sdtasdt0(sdtasdt0(sz00,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_3423,c_62]) ).
tcf(c_3440,plain,
sdtpldt0(sz00,sdtasdt0(sz00,xn)) = sdtasdt0(sz00,xn),
inference(superposition,[status(thm)],[c_3423,c_57]) ).
tcf(c_3441,plain,
sdtpldt0(sdtasdt0(sz00,xn),sz00) = sdtasdt0(sz00,xn),
inference(superposition,[status(thm)],[c_3423,c_56]) ).
tcf(c_3504,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_3118,c_66]) ).
tcf(c_3505,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_3118,c_67]) ).
tcf(c_3512,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_3119,c_66]) ).
tcf(c_3513,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_3119,c_67]) ).
tcf(c_3522,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_3357,c_66]) ).
tcf(c_3523,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_3357,c_67]) ).
tcf(c_3553,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_3358,c_66]) ).
tcf(c_3554,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_3358,c_67]) ).
tcf(c_3561,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_3440,c_66]) ).
tcf(c_3562,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_3440,c_67]) ).
tcf(c_3578,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_3441,c_66]) ).
tcf(c_3579,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_3441,c_67]) ).
tcf(c_3581,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_1888]) ).
tcf(c_3582,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_1888]) ).
tcf(c_3583,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_1888]) ).
tcf(c_3585,plain,
sdtasdt0(xl,xm) = sdtasdt0(xm,xl),
inference(superposition,[status(thm)],[c_102,c_1888]) ).
tcf(c_3586,plain,
sdtasdt0(xl,xn) = sdtasdt0(xn,xl),
inference(superposition,[status(thm)],[c_103,c_1888]) ).
tcf(c_3587,plain,
sdtasdt0(sdtpldt0(xm,xn),xl) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_2812,c_1888]) ).
tcf(c_3588,plain,
sdtasdt0(sdtpldt0(sz00,xl),xl) = sdtasdt0(xl,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_1935,c_1888]) ).
tcf(c_3589,plain,
sdtasdt0(sdtpldt0(sz00,xm),xl) = sdtasdt0(xl,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_1967,c_1888]) ).
tcf(c_3590,plain,
sdtasdt0(sdtpldt0(sz00,xn),xl) = sdtasdt0(xl,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_2063,c_1888]) ).
tcf(c_3591,plain,
sdtasdt0(sdtpldt0(xl,xm),xl) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2380,c_1888]) ).
tcf(c_3592,plain,
sdtasdt0(sdtpldt0(xl,xn),xl) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2471,c_1888]) ).
tcf(c_3593,plain,
sdtasdt0(sdtasdt0(sz00,xl),xl) = sdtasdt0(xl,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_3101,c_1888]) ).
tcf(c_3594,plain,
sdtasdt0(sdtasdt0(sz00,xm),xl) = sdtasdt0(xl,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_3340,c_1888]) ).
tcf(c_3595,plain,
sdtasdt0(sdtasdt0(sz00,xn),xl) = sdtasdt0(xl,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3423,c_1888]) ).
tcf(c_3641,plain,
( ( sz00 = xm )
| ( sz00 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ( sdtasdt0(xl,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_3585,c_72]) ).
tcf(c_3642,plain,
( aNaturalNumber0(sdtasdt0(xl,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_3585,c_53]) ).
tcf(c_3643,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = xl )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xm,X0) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_3585,c_68]) ).
tcf(c_3644,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xm) ) ),
inference(superposition,[status(thm)],[c_3585,c_69]) ).
tcf(c_3684,plain,
( ( sz00 = xn )
| ( sz00 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ( sdtasdt0(xl,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_3586,c_72]) ).
tcf(c_3685,plain,
( aNaturalNumber0(sdtasdt0(xl,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[status(thm)],[c_3586,c_53]) ).
tcf(c_3686,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = xl )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_3586,c_68]) ).
tcf(c_3687,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xl) != sdtasdt0(xl,xn) ) ),
inference(superposition,[status(thm)],[c_3586,c_69]) ).
tcf(c_3690,plain,
aNaturalNumber0(sdtasdt0(xl,xm)),
inference(global_subsumption_just,[status(thm)],[c_3642,c_102,c_101,c_3642]) ).
tcf(c_3692,plain,
sdtasdt0(sdtasdt0(xl,xm),xl) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_3690,c_1888]) ).
tcf(c_3693,plain,
sdtasdt0(sdtasdt0(xl,xm),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_3690,c_1885]) ).
tcf(c_3694,plain,
sdtpldt0(sdtasdt0(xl,xm),xn) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_3690,c_1868]) ).
tcf(c_3695,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_3690,c_65]) ).
tcf(c_3696,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_3690,c_64]) ).
tcf(c_3697,plain,
sdtpldt0(sdtasdt0(xl,xm),xm) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_3690,c_1867]) ).
tcf(c_3698,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_3690,c_59]) ).
tcf(c_3699,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_3690,c_55]) ).
tcf(c_3700,plain,
sdtpldt0(sdtasdt0(xl,xm),xl) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_3690,c_1866]) ).
tcf(c_3701,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xm),X0),sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3690,c_153]) ).
tcf(c_3702,plain,
sdtpldt0(sdtasdt0(xl,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_3690,c_1863]) ).
tcf(c_3703,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xm),X0) = sdtasdt0(X0,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3690,c_58]) ).
tcf(c_3704,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xm),X0) = sdtpldt0(X0,sdtasdt0(xl,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3690,c_54]) ).
tcf(c_3705,plain,
sdtasdt0(sz00,sdtasdt0(xl,xm)) = sz00,
inference(superposition,[status(thm)],[c_3690,c_63]) ).
tcf(c_3706,plain,
sdtasdt0(sdtasdt0(xl,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_3690,c_62]) ).
tcf(c_3707,plain,
sdtpldt0(sz00,sdtasdt0(xl,xm)) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_3690,c_57]) ).
tcf(c_3708,plain,
sdtpldt0(sdtasdt0(xl,xm),sz00) = sdtasdt0(xl,xm),
inference(superposition,[status(thm)],[c_3690,c_56]) ).
tcf(c_3793,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_3705,c_69]) ).
tcf(c_3814,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_3706,c_68]) ).
tcf(c_3827,plain,
aNaturalNumber0(sdtasdt0(xl,xn)),
inference(global_subsumption_just,[status(thm)],[c_3685,c_103,c_101,c_3685]) ).
tcf(c_3829,plain,
sdtasdt0(sdtasdt0(xl,xn),xl) = sdtasdt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_3827,c_1888]) ).
tcf(c_3830,plain,
sdtasdt0(sdtasdt0(xl,xn),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_3827,c_1885]) ).
tcf(c_3831,plain,
sdtpldt0(sdtasdt0(xl,xn),xn) = sdtpldt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_3827,c_1868]) ).
tcf(c_3832,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_3827,c_65]) ).
tcf(c_3833,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_3827,c_64]) ).
tcf(c_3834,plain,
sdtpldt0(sdtasdt0(xl,xn),xm) = sdtpldt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_3827,c_1867]) ).
tcf(c_3835,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_3827,c_59]) ).
tcf(c_3836,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_3827,c_55]) ).
tcf(c_3837,plain,
sdtpldt0(sdtasdt0(xl,xn),xl) = sdtpldt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_3827,c_1866]) ).
tcf(c_3838,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xn),X0),sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3827,c_153]) ).
tcf(c_3839,plain,
sdtpldt0(sdtasdt0(xl,xn),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_3827,c_1863]) ).
tcf(c_3840,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xn),X0) = sdtasdt0(X0,sdtasdt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3827,c_58]) ).
tcf(c_3841,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xn),X0) = sdtpldt0(X0,sdtasdt0(xl,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3827,c_54]) ).
tcf(c_3842,plain,
sdtasdt0(sz00,sdtasdt0(xl,xn)) = sz00,
inference(superposition,[status(thm)],[c_3827,c_63]) ).
tcf(c_3843,plain,
sdtasdt0(sdtasdt0(xl,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_3827,c_62]) ).
tcf(c_3844,plain,
sdtpldt0(sz00,sdtasdt0(xl,xn)) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_3827,c_57]) ).
tcf(c_3845,plain,
sdtpldt0(sdtasdt0(xl,xn),sz00) = sdtasdt0(xl,xn),
inference(superposition,[status(thm)],[c_3827,c_56]) ).
tcf(c_3936,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_3842,c_69]) ).
tcf(c_3954,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_3843,c_68]) ).
tcf(c_3961,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_3707,c_66]) ).
tcf(c_3962,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_3707,c_67]) ).
tcf(c_3969,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_3708,c_66]) ).
tcf(c_3970,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_3708,c_67]) ).
tcf(c_3976,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_3844,c_66]) ).
tcf(c_3977,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_3844,c_67]) ).
tcf(c_4004,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_3845,c_66]) ).
tcf(c_4005,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_3845,c_67]) ).
tcf(c_4007,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_1889]) ).
tcf(c_4008,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_1889]) ).
tcf(c_4009,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_1889]) ).
tcf(c_4012,plain,
sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_103,c_1889]) ).
tcf(c_4013,plain,
sdtasdt0(sdtpldt0(xm,xn),xm) = sdtasdt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_2812,c_1889]) ).
tcf(c_4014,plain,
sdtasdt0(sdtpldt0(sz00,xl),xm) = sdtasdt0(xm,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_1935,c_1889]) ).
tcf(c_4015,plain,
sdtasdt0(sdtpldt0(sz00,xm),xm) = sdtasdt0(xm,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_1967,c_1889]) ).
tcf(c_4016,plain,
sdtasdt0(sdtpldt0(sz00,xn),xm) = sdtasdt0(xm,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_2063,c_1889]) ).
tcf(c_4017,plain,
sdtasdt0(sdtpldt0(xl,xm),xm) = sdtasdt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2380,c_1889]) ).
tcf(c_4018,plain,
sdtasdt0(sdtpldt0(xl,xn),xm) = sdtasdt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2471,c_1889]) ).
tcf(c_4019,plain,
sdtasdt0(sdtasdt0(sz00,xl),xm) = sdtasdt0(xm,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_3101,c_1889]) ).
tcf(c_4020,plain,
sdtasdt0(sdtasdt0(sz00,xm),xm) = sdtasdt0(xm,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_3340,c_1889]) ).
tcf(c_4021,plain,
sdtasdt0(sdtasdt0(sz00,xn),xm) = sdtasdt0(xm,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3423,c_1889]) ).
tcf(c_4022,plain,
sdtasdt0(sdtasdt0(xl,xm),xm) = sdtasdt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_3690,c_1889]) ).
tcf(c_4023,plain,
sdtasdt0(sdtasdt0(xl,xn),xm) = sdtasdt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_3827,c_1889]) ).
tcf(c_4127,plain,
( ( sz00 = xn )
| ( sz00 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ( sdtasdt0(xm,xn) != sz00 ) ),
inference(superposition,[status(thm)],[c_4012,c_72]) ).
tcf(c_4128,plain,
( aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_4012,c_53]) ).
tcf(c_4129,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( X0 = xm )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xn,X0) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_4012,c_68]) ).
tcf(c_4130,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xm,xn) ) ),
inference(superposition,[status(thm)],[c_4012,c_69]) ).
tcf(c_4155,plain,
aNaturalNumber0(sdtasdt0(xm,xn)),
inference(global_subsumption_just,[status(thm)],[c_4128,c_103,c_102,c_4128]) ).
tcf(c_4157,plain,
sdtasdt0(sdtasdt0(xm,xn),xm) = sdtasdt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_4155,c_1889]) ).
tcf(c_4158,plain,
sdtasdt0(sdtasdt0(xm,xn),xl) = sdtasdt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_4155,c_1888]) ).
tcf(c_4159,plain,
sdtasdt0(sdtasdt0(xm,xn),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_4155,c_1885]) ).
tcf(c_4160,plain,
sdtpldt0(sdtasdt0(xm,xn),xn) = sdtpldt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_4155,c_1868]) ).
tcf(c_4161,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_4155,c_65]) ).
tcf(c_4162,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_4155,c_64]) ).
tcf(c_4163,plain,
sdtpldt0(sdtasdt0(xm,xn),xm) = sdtpldt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_4155,c_1867]) ).
tcf(c_4164,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_4155,c_59]) ).
tcf(c_4165,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_4155,c_55]) ).
tcf(c_4166,plain,
sdtpldt0(sdtasdt0(xm,xn),xl) = sdtpldt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_4155,c_1866]) ).
tcf(c_4167,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,xn),X0),sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4155,c_153]) ).
tcf(c_4168,plain,
sdtpldt0(sdtasdt0(xm,xn),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_4155,c_1863]) ).
tcf(c_4169,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,xn),X0) = sdtasdt0(X0,sdtasdt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4155,c_58]) ).
tcf(c_4170,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,xn),X0) = sdtpldt0(X0,sdtasdt0(xm,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4155,c_54]) ).
tcf(c_4171,plain,
sdtasdt0(sz00,sdtasdt0(xm,xn)) = sz00,
inference(superposition,[status(thm)],[c_4155,c_63]) ).
tcf(c_4172,plain,
sdtasdt0(sdtasdt0(xm,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_4155,c_62]) ).
tcf(c_4173,plain,
sdtpldt0(sz00,sdtasdt0(xm,xn)) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_4155,c_57]) ).
tcf(c_4174,plain,
sdtpldt0(sdtasdt0(xm,xn),sz00) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_4155,c_56]) ).
tcf(c_4212,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_4171,c_69]) ).
tcf(c_4217,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_4172,c_68]) ).
tcf(c_4224,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_4173,c_66]) ).
tcf(c_4225,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_4173,c_67]) ).
tcf(c_4232,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_4174,c_66]) ).
tcf(c_4233,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_4174,c_67]) ).
tcf(c_4252,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_1890]) ).
tcf(c_4253,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_1890]) ).
tcf(c_4254,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_1890]) ).
tcf(c_4258,plain,
sdtasdt0(sdtpldt0(xm,xn),xn) = sdtasdt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_2812,c_1890]) ).
tcf(c_4259,plain,
sdtasdt0(sdtpldt0(sz00,xl),xn) = sdtasdt0(xn,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_1935,c_1890]) ).
tcf(c_4260,plain,
sdtasdt0(sdtpldt0(sz00,xm),xn) = sdtasdt0(xn,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_1967,c_1890]) ).
tcf(c_4261,plain,
sdtasdt0(sdtpldt0(sz00,xn),xn) = sdtasdt0(xn,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_2063,c_1890]) ).
tcf(c_4262,plain,
sdtasdt0(sdtpldt0(xl,xm),xn) = sdtasdt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_2380,c_1890]) ).
tcf(c_4263,plain,
sdtasdt0(sdtpldt0(xl,xn),xn) = sdtasdt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_2471,c_1890]) ).
tcf(c_4264,plain,
sdtasdt0(sdtasdt0(sz00,xl),xn) = sdtasdt0(xn,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_3101,c_1890]) ).
tcf(c_4265,plain,
sdtasdt0(sdtasdt0(sz00,xm),xn) = sdtasdt0(xn,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_3340,c_1890]) ).
tcf(c_4266,plain,
sdtasdt0(sdtasdt0(sz00,xn),xn) = sdtasdt0(xn,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_3423,c_1890]) ).
tcf(c_4267,plain,
sdtasdt0(sdtasdt0(xl,xm),xn) = sdtasdt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_3690,c_1890]) ).
tcf(c_4268,plain,
sdtasdt0(sdtasdt0(xl,xn),xn) = sdtasdt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_3827,c_1890]) ).
tcf(c_4269,plain,
sdtasdt0(sdtasdt0(xm,xn),xn) = sdtasdt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_4155,c_1890]) ).
tcf(c_4358,plain,
( ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_1938,c_70]) ).
tcf(c_4359,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_1938,c_52]) ).
tcf(c_4360,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_1938,c_66]) ).
tcf(c_4361,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_1938,c_67]) ).
tcf(c_4407,plain,
( ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_1970,c_70]) ).
tcf(c_4408,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_1970,c_52]) ).
tcf(c_4409,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_1970,c_66]) ).
tcf(c_4410,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_1970,c_67]) ).
tcf(c_4418,plain,
( ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sz00,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2067,c_70]) ).
tcf(c_4419,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_2067,c_52]) ).
tcf(c_4420,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_2067,c_66]) ).
tcf(c_4421,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_2067,c_67]) ).
tcf(c_4426,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(xl,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2124,c_71]) ).
tcf(c_4427,plain,
( ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(xl,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2124,c_70]) ).
tcf(c_4428,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_2124,c_52]) ).
tcf(c_4429,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_2124,c_66]) ).
tcf(c_4430,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_2124,c_67]) ).
tcf(c_4450,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(xl,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2125,c_71]) ).
tcf(c_4451,plain,
( ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(xl,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2125,c_70]) ).
tcf(c_4452,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_2125,c_52]) ).
tcf(c_4453,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_2125,c_66]) ).
tcf(c_4454,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_2125,c_67]) ).
tcf(c_4482,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(xl,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2126,c_71]) ).
tcf(c_4483,plain,
( ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(xl,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2126,c_70]) ).
tcf(c_4484,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_2126,c_52]) ).
tcf(c_4485,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_2126,c_66]) ).
tcf(c_4486,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_2126,c_67]) ).
tcf(c_4505,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2384,c_71]) ).
tcf(c_4506,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2384,c_70]) ).
tcf(c_4507,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2384,c_52]) ).
tcf(c_4508,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_2384,c_66]) ).
tcf(c_4509,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_2384,c_67]) ).
tcf(c_4516,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sz00,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2386,c_70]) ).
tcf(c_4517,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2386,c_52]) ).
tcf(c_4518,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_2386,c_66]) ).
tcf(c_4519,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_2386,c_67]) ).
tcf(c_4591,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2475,c_71]) ).
tcf(c_4592,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2475,c_70]) ).
tcf(c_4593,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2475,c_52]) ).
tcf(c_4594,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_2475,c_66]) ).
tcf(c_4595,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_2475,c_67]) ).
tcf(c_4602,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sz00,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2477,c_70]) ).
tcf(c_4603,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2477,c_52]) ).
tcf(c_4604,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_2477,c_66]) ).
tcf(c_4605,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_2477,c_67]) ).
tcf(c_4611,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(xm,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2550,c_71]) ).
tcf(c_4612,plain,
( ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(xm,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2550,c_70]) ).
tcf(c_4613,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_2550,c_52]) ).
tcf(c_4614,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_2550,c_66]) ).
tcf(c_4615,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_2550,c_67]) ).
tcf(c_4620,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(xm,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2551,c_71]) ).
tcf(c_4621,plain,
( ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(xm,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2551,c_70]) ).
tcf(c_4622,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_2551,c_52]) ).
tcf(c_4623,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_2551,c_66]) ).
tcf(c_4624,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_2551,c_67]) ).
tcf(c_4638,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_1842]) ).
tcf(c_4639,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_1842]) ).
tcf(c_4640,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_1842]) ).
tcf(c_4641,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_1842]) ).
tcf(c_4642,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xl,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_1842]) ).
tcf(c_4643,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xm,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_1842]) ).
tcf(c_4644,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xn,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_1842]) ).
tcf(c_4645,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2812,c_1842]) ).
tcf(c_4646,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1935,c_1842]) ).
tcf(c_4647,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1967,c_1842]) ).
tcf(c_4648,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2063,c_1842]) ).
tcf(c_4649,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2380,c_1842]) ).
tcf(c_4650,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2471,c_1842]) ).
tcf(c_4651,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3101,c_1842]) ).
tcf(c_4652,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3340,c_1842]) ).
tcf(c_4653,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3423,c_1842]) ).
tcf(c_4654,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3690,c_1842]) ).
tcf(c_4655,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3827,c_1842]) ).
tcf(c_4656,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4155,c_1842]) ).
tcf(c_4742,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_4638]) ).
tcf(c_4743,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4638]) ).
tcf(c_4744,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4638]) ).
tcf(c_4745,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_4638]) ).
tcf(c_4749,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_2812,c_4638]) ).
tcf(c_4750,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_1935,c_4638]) ).
tcf(c_4751,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_1967,c_4638]) ).
tcf(c_4752,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_2063,c_4638]) ).
tcf(c_4753,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_2380,c_4638]) ).
tcf(c_4754,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_2471,c_4638]) ).
tcf(c_4755,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_3101,c_4638]) ).
tcf(c_4756,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_3340,c_4638]) ).
tcf(c_4757,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3423,c_4638]) ).
tcf(c_4758,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_3690,c_4638]) ).
tcf(c_4759,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_3827,c_4638]) ).
tcf(c_4760,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_4155,c_4638]) ).
tcf(c_4808,plain,
sdtasdt0(sz00,sdtpldt0(xl,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_4642]) ).
tcf(c_4809,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4642]) ).
tcf(c_4810,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4642]) ).
tcf(c_4811,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_4642]) ).
tcf(c_4812,plain,
sdtasdt0(sz00,sdtpldt0(xl,xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_4642]) ).
tcf(c_4815,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_2812,c_4642]) ).
tcf(c_4816,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_1935,c_4642]) ).
tcf(c_4817,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_1967,c_4642]) ).
tcf(c_4818,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_2063,c_4642]) ).
tcf(c_4819,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_2380,c_4642]) ).
tcf(c_4820,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_2471,c_4642]) ).
tcf(c_4821,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_3101,c_4642]) ).
tcf(c_4822,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_3340,c_4642]) ).
tcf(c_4823,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3423,c_4642]) ).
tcf(c_4824,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_3690,c_4642]) ).
tcf(c_4825,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_3827,c_4642]) ).
tcf(c_4826,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_4155,c_4642]) ).
tcf(c_4858,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_4808,c_69]) ).
tcf(c_4864,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_4812,c_69]) ).
tcf(c_4871,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_4749,c_69]) ).
tcf(c_4895,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_4750,c_69]) ).
tcf(c_4903,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_4751,c_69]) ).
tcf(c_4911,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_4752,c_69]) ).
tcf(c_4918,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_4753,c_69]) ).
tcf(c_4930,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_4754,c_69]) ).
tcf(c_4938,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_4755,c_69]) ).
tcf(c_4946,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_4756,c_69]) ).
tcf(c_4954,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_4757,c_69]) ).
tcf(c_4961,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_4758,c_69]) ).
tcf(c_4962,plain,
sdtasdt0(sz00,sdtpldt0(xm,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_4643]) ).
tcf(c_4963,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4643]) ).
tcf(c_4964,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4643]) ).
tcf(c_4965,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_4643]) ).
tcf(c_4966,plain,
sdtasdt0(sz00,sdtpldt0(xm,xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_4643]) ).
tcf(c_4967,plain,
sdtasdt0(sz00,sdtpldt0(xm,xm)) = sz00,
inference(superposition,[status(thm)],[c_102,c_4643]) ).
tcf(c_4969,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_2812,c_4643]) ).
tcf(c_4970,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_1935,c_4643]) ).
tcf(c_4971,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_1967,c_4643]) ).
tcf(c_4972,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_2063,c_4643]) ).
tcf(c_4973,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_2380,c_4643]) ).
tcf(c_4974,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_2471,c_4643]) ).
tcf(c_4975,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_3101,c_4643]) ).
tcf(c_4976,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_3340,c_4643]) ).
tcf(c_4977,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3423,c_4643]) ).
tcf(c_4978,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_3690,c_4643]) ).
tcf(c_4979,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_3827,c_4643]) ).
tcf(c_4980,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_4155,c_4643]) ).
tcf(c_5093,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_4962,c_69]) ).
tcf(c_5118,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_4966,c_69]) ).
tcf(c_5128,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_4967,c_69]) ).
tcf(c_5135,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_4759,c_69]) ).
tcf(c_5142,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_4760,c_69]) ).
tcf(c_5152,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_4815,c_69]) ).
tcf(c_5178,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_4816,c_69]) ).
tcf(c_5185,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_4817,c_69]) ).
tcf(c_5226,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_4818,c_69]) ).
tcf(c_5232,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_4819,c_69]) ).
tcf(c_5238,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_4820,c_69]) ).
tcf(c_5245,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_4821,c_69]) ).
tcf(c_5252,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_4822,c_69]) ).
tcf(c_5259,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_4823,c_69]) ).
tcf(c_5293,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_4824,c_69]) ).
tcf(c_5294,plain,
sdtasdt0(sz00,sdtpldt0(xn,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_4644]) ).
tcf(c_5295,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_4644]) ).
tcf(c_5296,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_4644]) ).
tcf(c_5297,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_4644]) ).
tcf(c_5298,plain,
sdtasdt0(sz00,sdtpldt0(xn,xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_4644]) ).
tcf(c_5299,plain,
sdtasdt0(sz00,sdtpldt0(xn,xm)) = sz00,
inference(superposition,[status(thm)],[c_102,c_4644]) ).
tcf(c_5300,plain,
sdtasdt0(sz00,sdtpldt0(xn,xn)) = sz00,
inference(superposition,[status(thm)],[c_103,c_4644]) ).
tcf(c_5301,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_2812,c_4644]) ).
tcf(c_5302,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_1935,c_4644]) ).
tcf(c_5303,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_1967,c_4644]) ).
tcf(c_5304,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_2063,c_4644]) ).
tcf(c_5305,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_2380,c_4644]) ).
tcf(c_5306,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_2471,c_4644]) ).
tcf(c_5307,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_3101,c_4644]) ).
tcf(c_5308,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_3340,c_4644]) ).
tcf(c_5309,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3423,c_4644]) ).
tcf(c_5310,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_3690,c_4644]) ).
tcf(c_5311,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_3827,c_4644]) ).
tcf(c_5312,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_4155,c_4644]) ).
tcf(c_5448,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_5294,c_69]) ).
tcf(c_5455,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_5298,c_69]) ).
tcf(c_5462,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_5299,c_69]) ).
tcf(c_5468,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_5300,c_69]) ).
tcf(c_5482,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_4825,c_69]) ).
tcf(c_5497,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_4826,c_69]) ).
tcf(c_5503,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_4969,c_69]) ).
tcf(c_5510,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_4970,c_69]) ).
tcf(c_5517,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_4971,c_69]) ).
tcf(c_5524,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_4972,c_69]) ).
tcf(c_5530,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_4973,c_69]) ).
tcf(c_5546,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_4974,c_69]) ).
tcf(c_5553,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_4975,c_69]) ).
tcf(c_5568,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_4976,c_69]) ).
tcf(c_5575,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_4977,c_69]) ).
tcf(c_5576,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_1843]) ).
tcf(c_5577,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_1843]) ).
tcf(c_5578,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_1843]) ).
tcf(c_5579,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_1843]) ).
tcf(c_5580,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_1843]) ).
tcf(c_5581,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_1843]) ).
tcf(c_5582,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_1843]) ).
tcf(c_5583,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2812,c_1843]) ).
tcf(c_5584,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1935,c_1843]) ).
tcf(c_5585,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1967,c_1843]) ).
tcf(c_5586,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2063,c_1843]) ).
tcf(c_5587,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2380,c_1843]) ).
tcf(c_5588,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2471,c_1843]) ).
tcf(c_5589,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3101,c_1843]) ).
tcf(c_5590,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3340,c_1843]) ).
tcf(c_5591,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3423,c_1843]) ).
tcf(c_5592,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3690,c_1843]) ).
tcf(c_5593,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3827,c_1843]) ).
tcf(c_5594,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4155,c_1843]) ).
tcf(c_5668,plain,
sdtasdt0(sdtpldt0(sz00,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_5576]) ).
tcf(c_5669,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_5576]) ).
tcf(c_5670,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_5576]) ).
tcf(c_5671,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_5576]) ).
tcf(c_5675,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2812,c_5576]) ).
tcf(c_5676,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1935,c_5576]) ).
tcf(c_5677,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1967,c_5576]) ).
tcf(c_5678,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2063,c_5576]) ).
tcf(c_5679,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2380,c_5576]) ).
tcf(c_5680,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2471,c_5576]) ).
tcf(c_5681,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3101,c_5576]) ).
tcf(c_5682,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3340,c_5576]) ).
tcf(c_5683,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3423,c_5576]) ).
tcf(c_5684,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3690,c_5576]) ).
tcf(c_5685,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3827,c_5576]) ).
tcf(c_5686,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4155,c_5576]) ).
tcf(c_5743,plain,
sdtasdt0(sdtpldt0(xl,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_5580]) ).
tcf(c_5744,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_5580]) ).
tcf(c_5745,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_5580]) ).
tcf(c_5746,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_5580]) ).
tcf(c_5747,plain,
sdtasdt0(sdtpldt0(xl,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_5580]) ).
tcf(c_5750,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2812,c_5580]) ).
tcf(c_5751,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1935,c_5580]) ).
tcf(c_5752,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1967,c_5580]) ).
tcf(c_5753,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2063,c_5580]) ).
tcf(c_5754,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2380,c_5580]) ).
tcf(c_5755,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2471,c_5580]) ).
tcf(c_5756,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3101,c_5580]) ).
tcf(c_5757,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3340,c_5580]) ).
tcf(c_5758,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3423,c_5580]) ).
tcf(c_5759,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3690,c_5580]) ).
tcf(c_5760,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3827,c_5580]) ).
tcf(c_5761,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4155,c_5580]) ).
tcf(c_5786,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_5743,c_68]) ).
tcf(c_5792,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_5747,c_68]) ).
tcf(c_5799,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_4978,c_69]) ).
tcf(c_5836,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_4979,c_69]) ).
tcf(c_5842,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_4980,c_69]) ).
tcf(c_5848,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_5301,c_69]) ).
tcf(c_5855,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_5302,c_69]) ).
tcf(c_5862,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_5303,c_69]) ).
tcf(c_5869,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_5304,c_69]) ).
tcf(c_5875,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_5305,c_69]) ).
tcf(c_5881,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_5306,c_69]) ).
tcf(c_5888,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_5307,c_69]) ).
tcf(c_5889,plain,
sdtasdt0(sdtpldt0(xm,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_5581]) ).
tcf(c_5890,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_5581]) ).
tcf(c_5891,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_5581]) ).
tcf(c_5892,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_5581]) ).
tcf(c_5893,plain,
sdtasdt0(sdtpldt0(xm,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_5581]) ).
tcf(c_5894,plain,
sdtasdt0(sdtpldt0(xm,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_5581]) ).
tcf(c_5896,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2812,c_5581]) ).
tcf(c_5897,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1935,c_5581]) ).
tcf(c_5898,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1967,c_5581]) ).
tcf(c_5899,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2063,c_5581]) ).
tcf(c_5900,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2380,c_5581]) ).
tcf(c_5901,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2471,c_5581]) ).
tcf(c_5902,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3101,c_5581]) ).
tcf(c_5903,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3340,c_5581]) ).
tcf(c_5904,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3423,c_5581]) ).
tcf(c_5905,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3690,c_5581]) ).
tcf(c_5906,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3827,c_5581]) ).
tcf(c_5907,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4155,c_5581]) ).
tcf(c_6000,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_5889,c_68]) ).
tcf(c_6007,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_5893,c_68]) ).
tcf(c_6013,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_5894,c_68]) ).
tcf(c_6021,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_5308,c_69]) ).
tcf(c_6037,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_5309,c_69]) ).
tcf(c_6043,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_5310,c_69]) ).
tcf(c_6049,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_5311,c_69]) ).
tcf(c_6092,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_5312,c_69]) ).
tcf(c_6098,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_5675,c_68]) ).
tcf(c_6106,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_5676,c_68]) ).
tcf(c_6114,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_5677,c_68]) ).
tcf(c_6122,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_5678,c_68]) ).
tcf(c_6129,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_5679,c_68]) ).
tcf(c_6136,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_5680,c_68]) ).
tcf(c_6144,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_5681,c_68]) ).
tcf(c_6146,plain,
sdtasdt0(sdtpldt0(xn,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_5582]) ).
tcf(c_6147,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_5582]) ).
tcf(c_6148,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_5582]) ).
tcf(c_6149,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_5582]) ).
tcf(c_6150,plain,
sdtasdt0(sdtpldt0(xn,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_5582]) ).
tcf(c_6151,plain,
sdtasdt0(sdtpldt0(xn,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_5582]) ).
tcf(c_6152,plain,
sdtasdt0(sdtpldt0(xn,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_5582]) ).
tcf(c_6153,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2812,c_5582]) ).
tcf(c_6154,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1935,c_5582]) ).
tcf(c_6155,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1967,c_5582]) ).
tcf(c_6156,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2063,c_5582]) ).
tcf(c_6157,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2380,c_5582]) ).
tcf(c_6158,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2471,c_5582]) ).
tcf(c_6159,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3101,c_5582]) ).
tcf(c_6160,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3340,c_5582]) ).
tcf(c_6161,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3423,c_5582]) ).
tcf(c_6162,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3690,c_5582]) ).
tcf(c_6163,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3827,c_5582]) ).
tcf(c_6164,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4155,c_5582]) ).
tcf(c_6203,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_6146,c_68]) ).
tcf(c_6210,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_6150,c_68]) ).
tcf(c_6217,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_6151,c_68]) ).
tcf(c_6223,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_6152,c_68]) ).
tcf(c_6231,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_5682,c_68]) ).
tcf(c_6239,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_5683,c_68]) ).
tcf(c_6246,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_5684,c_68]) ).
tcf(c_6253,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_5685,c_68]) ).
tcf(c_6260,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_5686,c_68]) ).
tcf(c_6266,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_5750,c_68]) ).
tcf(c_6273,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_5751,c_68]) ).
tcf(c_6280,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_5752,c_68]) ).
tcf(c_6295,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_5753,c_68]) ).
tcf(c_6301,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_5754,c_68]) ).
tcf(c_6307,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_5755,c_68]) ).
tcf(c_6317,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_1855]) ).
tcf(c_6318,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_1855]) ).
tcf(c_6319,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_1855]) ).
tcf(c_6320,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_1855]) ).
tcf(c_6321,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xl,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_1855]) ).
tcf(c_6322,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xm,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_1855]) ).
tcf(c_6323,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xn,X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_1855]) ).
tcf(c_6324,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2812,c_1855]) ).
tcf(c_6325,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1935,c_1855]) ).
tcf(c_6326,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1967,c_1855]) ).
tcf(c_6327,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2063,c_1855]) ).
tcf(c_6328,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2380,c_1855]) ).
tcf(c_6329,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2471,c_1855]) ).
tcf(c_6330,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3101,c_1855]) ).
tcf(c_6331,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3340,c_1855]) ).
tcf(c_6332,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3423,c_1855]) ).
tcf(c_6333,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3690,c_1855]) ).
tcf(c_6334,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3827,c_1855]) ).
tcf(c_6335,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4155,c_1855]) ).
tcf(c_6474,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_6317]) ).
tcf(c_6475,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_6317]) ).
tcf(c_6476,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_6317]) ).
tcf(c_6477,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_6317]) ).
tcf(c_6481,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_2812,c_6317]) ).
tcf(c_6482,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_1935,c_6317]) ).
tcf(c_6483,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_1967,c_6317]) ).
tcf(c_6484,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_2063,c_6317]) ).
tcf(c_6485,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_2380,c_6317]) ).
tcf(c_6486,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_2471,c_6317]) ).
tcf(c_6487,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_3101,c_6317]) ).
tcf(c_6488,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_3340,c_6317]) ).
tcf(c_6489,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3423,c_6317]) ).
tcf(c_6490,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_3690,c_6317]) ).
tcf(c_6491,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_3827,c_6317]) ).
tcf(c_6492,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_4155,c_6317]) ).
tcf(c_6531,plain,
! [X0: $i] :
( aNaturalNumber0(sdtpldt0(X0,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_6532,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(instantiation,[status(thm)],[c_6531]) ).
tcf(c_6537,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(instantiation,[status(thm)],[c_2691]) ).
tcf(c_6581,plain,
sdtasdt0(sz00,sdtasdt0(xl,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_6321]) ).
tcf(c_6582,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_6321]) ).
tcf(c_6583,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_6321]) ).
tcf(c_6584,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_6321]) ).
tcf(c_6585,plain,
sdtasdt0(sz00,sdtasdt0(xl,xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_6321]) ).
tcf(c_6588,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_2812,c_6321]) ).
tcf(c_6589,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_1935,c_6321]) ).
tcf(c_6590,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_1967,c_6321]) ).
tcf(c_6591,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_2063,c_6321]) ).
tcf(c_6592,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_2380,c_6321]) ).
tcf(c_6593,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_2471,c_6321]) ).
tcf(c_6594,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_3101,c_6321]) ).
tcf(c_6595,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_3340,c_6321]) ).
tcf(c_6596,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3423,c_6321]) ).
tcf(c_6597,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_3690,c_6321]) ).
tcf(c_6598,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_3827,c_6321]) ).
tcf(c_6599,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_4155,c_6321]) ).
tcf(c_6643,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_6585,c_69]) ).
tcf(c_6649,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_5756,c_68]) ).
tcf(c_6656,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_5757,c_68]) ).
tcf(c_6672,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_5758,c_68]) ).
tcf(c_6678,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_5759,c_68]) ).
tcf(c_6704,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_5760,c_68]) ).
tcf(c_6710,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_5761,c_68]) ).
tcf(c_6716,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_5896,c_68]) ).
tcf(c_6723,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_5897,c_68]) ).
tcf(c_6730,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_5898,c_68]) ).
tcf(c_6737,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_5899,c_68]) ).
tcf(c_6739,plain,
sdtasdt0(sz00,sdtasdt0(xm,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_6322]) ).
tcf(c_6740,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_6322]) ).
tcf(c_6741,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_6322]) ).
tcf(c_6742,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_6322]) ).
tcf(c_6743,plain,
sdtasdt0(sz00,sdtasdt0(xm,xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_6322]) ).
tcf(c_6744,plain,
sdtasdt0(sz00,sdtasdt0(xm,xm)) = sz00,
inference(superposition,[status(thm)],[c_102,c_6322]) ).
tcf(c_6746,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_2812,c_6322]) ).
tcf(c_6747,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_1935,c_6322]) ).
tcf(c_6748,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_1967,c_6322]) ).
tcf(c_6749,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_2063,c_6322]) ).
tcf(c_6750,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_2380,c_6322]) ).
tcf(c_6751,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_2471,c_6322]) ).
tcf(c_6752,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_3101,c_6322]) ).
tcf(c_6753,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_3340,c_6322]) ).
tcf(c_6754,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3423,c_6322]) ).
tcf(c_6755,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_3690,c_6322]) ).
tcf(c_6756,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_3827,c_6322]) ).
tcf(c_6757,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_4155,c_6322]) ).
tcf(c_6794,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_6743,c_69]) ).
tcf(c_6800,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_6744,c_69]) ).
tcf(c_6805,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_5900,c_68]) ).
tcf(c_6811,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_5901,c_68]) ).
tcf(c_6818,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_5902,c_68]) ).
tcf(c_6825,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_5903,c_68]) ).
tcf(c_6832,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_5904,c_68]) ).
tcf(c_6838,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_5905,c_68]) ).
tcf(c_6844,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_5906,c_68]) ).
tcf(c_6869,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_5907,c_68]) ).
tcf(c_6906,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_6153,c_68]) ).
tcf(c_6948,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_6154,c_68]) ).
tcf(c_6955,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_6155,c_68]) ).
tcf(c_6962,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_6156,c_68]) ).
tcf(c_6964,plain,
sdtasdt0(sz00,sdtasdt0(xn,sz00)) = sz00,
inference(superposition,[status(thm)],[c_49,c_6323]) ).
tcf(c_6965,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_6323]) ).
tcf(c_6966,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(X0,X1))) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_6323]) ).
tcf(c_6967,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_6323]) ).
tcf(c_6968,plain,
sdtasdt0(sz00,sdtasdt0(xn,xl)) = sz00,
inference(superposition,[status(thm)],[c_101,c_6323]) ).
tcf(c_6969,plain,
sdtasdt0(sz00,sdtasdt0(xn,xm)) = sz00,
inference(superposition,[status(thm)],[c_102,c_6323]) ).
tcf(c_6970,plain,
sdtasdt0(sz00,sdtasdt0(xn,xn)) = sz00,
inference(superposition,[status(thm)],[c_103,c_6323]) ).
tcf(c_6971,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_2812,c_6323]) ).
tcf(c_6972,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_1935,c_6323]) ).
tcf(c_6973,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_1967,c_6323]) ).
tcf(c_6974,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_2063,c_6323]) ).
tcf(c_6975,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_2380,c_6323]) ).
tcf(c_6976,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_2471,c_6323]) ).
tcf(c_6977,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xl))) = sz00,
inference(superposition,[status(thm)],[c_3101,c_6323]) ).
tcf(c_6978,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xm))) = sz00,
inference(superposition,[status(thm)],[c_3340,c_6323]) ).
tcf(c_6979,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xn))) = sz00,
inference(superposition,[status(thm)],[c_3423,c_6323]) ).
tcf(c_6980,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xm))) = sz00,
inference(superposition,[status(thm)],[c_3690,c_6323]) ).
tcf(c_6981,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xn))) = sz00,
inference(superposition,[status(thm)],[c_3827,c_6323]) ).
tcf(c_6982,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xn))) = sz00,
inference(superposition,[status(thm)],[c_4155,c_6323]) ).
tcf(c_7011,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_6968,c_69]) ).
tcf(c_7037,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_6969,c_69]) ).
tcf(c_7043,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_6970,c_69]) ).
tcf(c_7062,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_6157,c_68]) ).
tcf(c_7068,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_6158,c_68]) ).
tcf(c_7086,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_6159,c_68]) ).
tcf(c_7093,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_6160,c_68]) ).
tcf(c_7143,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_6161,c_68]) ).
tcf(c_7149,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_6162,c_68]) ).
tcf(c_7155,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_6163,c_68]) ).
tcf(c_7161,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_6164,c_68]) ).
tcf(c_7186,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_49,c_1856]) ).
tcf(c_7187,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_1856]) ).
tcf(c_7188,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_1856]) ).
tcf(c_7189,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_1856]) ).
tcf(c_7190,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_101,c_1856]) ).
tcf(c_7191,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_102,c_1856]) ).
tcf(c_7192,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_103,c_1856]) ).
tcf(c_7193,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2812,c_1856]) ).
tcf(c_7194,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1935,c_1856]) ).
tcf(c_7195,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_1967,c_1856]) ).
tcf(c_7196,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2063,c_1856]) ).
tcf(c_7197,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2380,c_1856]) ).
tcf(c_7198,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_2471,c_1856]) ).
tcf(c_7199,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3101,c_1856]) ).
tcf(c_7200,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3340,c_1856]) ).
tcf(c_7201,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3423,c_1856]) ).
tcf(c_7202,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3690,c_1856]) ).
tcf(c_7203,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_3827,c_1856]) ).
tcf(c_7204,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_4155,c_1856]) ).
tcf(c_7258,plain,
sdtasdt0(sdtasdt0(sz00,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_7186]) ).
tcf(c_7259,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_7186]) ).
tcf(c_7260,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_7186]) ).
tcf(c_7261,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_7186]) ).
tcf(c_7265,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2812,c_7186]) ).
tcf(c_7266,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1935,c_7186]) ).
tcf(c_7267,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1967,c_7186]) ).
tcf(c_7268,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2063,c_7186]) ).
tcf(c_7269,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2380,c_7186]) ).
tcf(c_7270,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2471,c_7186]) ).
tcf(c_7271,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3101,c_7186]) ).
tcf(c_7272,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3340,c_7186]) ).
tcf(c_7273,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3423,c_7186]) ).
tcf(c_7274,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3690,c_7186]) ).
tcf(c_7275,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3827,c_7186]) ).
tcf(c_7276,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4155,c_7186]) ).
tcf(c_7326,plain,
sdtasdt0(sdtasdt0(xl,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_7190]) ).
tcf(c_7327,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_7190]) ).
tcf(c_7328,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_7190]) ).
tcf(c_7329,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_7190]) ).
tcf(c_7330,plain,
sdtasdt0(sdtasdt0(xl,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_7190]) ).
tcf(c_7333,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2812,c_7190]) ).
tcf(c_7334,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1935,c_7190]) ).
tcf(c_7335,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1967,c_7190]) ).
tcf(c_7336,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2063,c_7190]) ).
tcf(c_7337,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2380,c_7190]) ).
tcf(c_7338,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2471,c_7190]) ).
tcf(c_7339,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3101,c_7190]) ).
tcf(c_7340,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3340,c_7190]) ).
tcf(c_7341,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3423,c_7190]) ).
tcf(c_7342,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3690,c_7190]) ).
tcf(c_7343,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3827,c_7190]) ).
tcf(c_7344,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4155,c_7190]) ).
tcf(c_7380,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_7330,c_68]) ).
tcf(c_7454,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_6588,c_69]) ).
tcf(c_7455,plain,
sdtasdt0(sdtasdt0(xm,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_7191]) ).
tcf(c_7456,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_7191]) ).
tcf(c_7457,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_7191]) ).
tcf(c_7458,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_7191]) ).
tcf(c_7459,plain,
sdtasdt0(sdtasdt0(xm,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_7191]) ).
tcf(c_7460,plain,
sdtasdt0(sdtasdt0(xm,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_7191]) ).
tcf(c_7462,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2812,c_7191]) ).
tcf(c_7463,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1935,c_7191]) ).
tcf(c_7464,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1967,c_7191]) ).
tcf(c_7465,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2063,c_7191]) ).
tcf(c_7466,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2380,c_7191]) ).
tcf(c_7467,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2471,c_7191]) ).
tcf(c_7468,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3101,c_7191]) ).
tcf(c_7469,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3340,c_7191]) ).
tcf(c_7470,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3423,c_7191]) ).
tcf(c_7471,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3690,c_7191]) ).
tcf(c_7472,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3827,c_7191]) ).
tcf(c_7473,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4155,c_7191]) ).
tcf(c_7628,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_7459,c_68]) ).
tcf(c_7634,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_7460,c_68]) ).
tcf(c_7642,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_6589,c_69]) ).
tcf(c_7649,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_6590,c_69]) ).
tcf(c_7656,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_6591,c_69]) ).
tcf(c_7662,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_6592,c_69]) ).
tcf(c_7668,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_6593,c_69]) ).
tcf(c_7675,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_6594,c_69]) ).
tcf(c_7682,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_6595,c_69]) ).
tcf(c_7689,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_6596,c_69]) ).
tcf(c_7695,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_6597,c_69]) ).
tcf(c_7701,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_6598,c_69]) ).
tcf(c_7707,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_6599,c_69]) ).
tcf(c_7713,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_6746,c_69]) ).
tcf(c_7714,plain,
sdtasdt0(sdtasdt0(xn,sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_7192]) ).
tcf(c_7715,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_7192]) ).
tcf(c_7716,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_53,c_7192]) ).
tcf(c_7717,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_7192]) ).
tcf(c_7718,plain,
sdtasdt0(sdtasdt0(xn,xl),sz00) = sz00,
inference(superposition,[status(thm)],[c_101,c_7192]) ).
tcf(c_7719,plain,
sdtasdt0(sdtasdt0(xn,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_102,c_7192]) ).
tcf(c_7720,plain,
sdtasdt0(sdtasdt0(xn,xn),sz00) = sz00,
inference(superposition,[status(thm)],[c_103,c_7192]) ).
tcf(c_7721,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2812,c_7192]) ).
tcf(c_7722,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1935,c_7192]) ).
tcf(c_7723,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_1967,c_7192]) ).
tcf(c_7724,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2063,c_7192]) ).
tcf(c_7725,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2380,c_7192]) ).
tcf(c_7726,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2471,c_7192]) ).
tcf(c_7727,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3101,c_7192]) ).
tcf(c_7728,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3340,c_7192]) ).
tcf(c_7729,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3423,c_7192]) ).
tcf(c_7730,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3690,c_7192]) ).
tcf(c_7731,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3827,c_7192]) ).
tcf(c_7732,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4155,c_7192]) ).
tcf(c_7760,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_7718,c_68]) ).
tcf(c_7767,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_7719,c_68]) ).
tcf(c_7773,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_7720,c_68]) ).
tcf(c_7781,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_6747,c_69]) ).
tcf(c_7788,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_6748,c_69]) ).
tcf(c_7795,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_6749,c_69]) ).
tcf(c_7801,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_6750,c_69]) ).
tcf(c_7807,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_6751,c_69]) ).
tcf(c_7814,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_6752,c_69]) ).
tcf(c_7833,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_6753,c_69]) ).
tcf(c_7840,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_6754,c_69]) ).
tcf(c_7846,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_6755,c_69]) ).
tcf(c_7852,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_6756,c_69]) ).
tcf(c_7858,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_6757,c_69]) ).
tcf(c_7859,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_4359,c_101,c_49,c_1927,c_4359]) ).
tcf(c_7863,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7859,c_7192]) ).
tcf(c_7864,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7859,c_7191]) ).
tcf(c_7865,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7859,c_7190]) ).
tcf(c_7866,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7859,c_7186]) ).
tcf(c_7867,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7859,c_1856]) ).
tcf(c_7868,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7859,c_6323]) ).
tcf(c_7869,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7859,c_6322]) ).
tcf(c_7870,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7859,c_6321]) ).
tcf(c_7871,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7859,c_6317]) ).
tcf(c_7872,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7859,c_1855]) ).
tcf(c_7873,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7859,c_5582]) ).
tcf(c_7874,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7859,c_5581]) ).
tcf(c_7875,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7859,c_5580]) ).
tcf(c_7876,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7859,c_5576]) ).
tcf(c_7877,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7859,c_1843]) ).
tcf(c_7878,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7859,c_4644]) ).
tcf(c_7879,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7859,c_4643]) ).
tcf(c_7880,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7859,c_4642]) ).
tcf(c_7881,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_7859,c_4638]) ).
tcf(c_7882,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7859,c_1842]) ).
tcf(c_7883,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_7859,c_1890]) ).
tcf(c_7884,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_7859,c_1889]) ).
tcf(c_7885,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_7859,c_1888]) ).
tcf(c_7886,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_7859,c_1885]) ).
tcf(c_7887,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_7859,c_1868]) ).
tcf(c_7888,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_7859,c_65]) ).
tcf(c_7889,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_7859,c_64]) ).
tcf(c_7890,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_7859,c_1867]) ).
tcf(c_7891,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_7859,c_59]) ).
tcf(c_7892,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_7859,c_55]) ).
tcf(c_7893,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_7859,c_1866]) ).
tcf(c_7894,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_7859,c_153]) ).
tcf(c_7895,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_7859,c_1863]) ).
tcf(c_7896,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7859,c_58]) ).
tcf(c_7897,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7859,c_54]) ).
tcf(c_7900,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sdtpldt0(sz00,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_7859,c_57]) ).
tcf(c_7901,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_7859,c_56]) ).
tcf(c_7990,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_4408,c_102,c_49,c_1930,c_4408]) ).
tcf(c_7994,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7990,c_7192]) ).
tcf(c_7995,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7990,c_7191]) ).
tcf(c_7996,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7990,c_7190]) ).
tcf(c_7997,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7990,c_7186]) ).
tcf(c_7998,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7990,c_1856]) ).
tcf(c_7999,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7990,c_6323]) ).
tcf(c_8000,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7990,c_6322]) ).
tcf(c_8001,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7990,c_6321]) ).
tcf(c_8002,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7990,c_6317]) ).
tcf(c_8003,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7990,c_1855]) ).
tcf(c_8004,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7990,c_5582]) ).
tcf(c_8005,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7990,c_5581]) ).
tcf(c_8006,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7990,c_5580]) ).
tcf(c_8007,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7990,c_5576]) ).
tcf(c_8008,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7990,c_1843]) ).
tcf(c_8009,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7990,c_4644]) ).
tcf(c_8010,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7990,c_4643]) ).
tcf(c_8011,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7990,c_4642]) ).
tcf(c_8012,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_7990,c_4638]) ).
tcf(c_8013,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7990,c_1842]) ).
tcf(c_8014,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_7990,c_1890]) ).
tcf(c_8015,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_7990,c_1889]) ).
tcf(c_8016,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_7990,c_1888]) ).
tcf(c_8017,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_7990,c_1885]) ).
tcf(c_8018,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_7990,c_1868]) ).
tcf(c_8019,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_7990,c_65]) ).
tcf(c_8020,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_7990,c_64]) ).
tcf(c_8021,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_7990,c_1867]) ).
tcf(c_8022,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_7990,c_59]) ).
tcf(c_8023,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_7990,c_55]) ).
tcf(c_8024,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_7990,c_1866]) ).
tcf(c_8025,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_7990,c_153]) ).
tcf(c_8026,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_7990,c_1863]) ).
tcf(c_8027,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7990,c_58]) ).
tcf(c_8028,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_7990,c_54]) ).
tcf(c_8031,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sdtpldt0(sz00,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_7990,c_57]) ).
tcf(c_8032,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_7990,c_56]) ).
tcf(c_8157,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_4419,c_103,c_49,c_1933,c_4419]) ).
tcf(c_8161,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8157,c_7192]) ).
tcf(c_8162,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8157,c_7191]) ).
tcf(c_8163,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8157,c_7190]) ).
tcf(c_8164,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8157,c_7186]) ).
tcf(c_8165,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8157,c_1856]) ).
tcf(c_8166,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8157,c_6323]) ).
tcf(c_8167,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8157,c_6322]) ).
tcf(c_8168,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8157,c_6321]) ).
tcf(c_8169,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8157,c_6317]) ).
tcf(c_8170,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8157,c_1855]) ).
tcf(c_8171,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8157,c_5582]) ).
tcf(c_8172,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8157,c_5581]) ).
tcf(c_8173,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8157,c_5580]) ).
tcf(c_8174,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8157,c_5576]) ).
tcf(c_8175,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8157,c_1843]) ).
tcf(c_8176,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8157,c_4644]) ).
tcf(c_8177,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8157,c_4643]) ).
tcf(c_8178,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8157,c_4642]) ).
tcf(c_8179,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8157,c_4638]) ).
tcf(c_8180,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8157,c_1842]) ).
tcf(c_8181,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8157,c_1890]) ).
tcf(c_8182,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8157,c_1889]) ).
tcf(c_8183,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8157,c_1888]) ).
tcf(c_8184,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8157,c_1885]) ).
tcf(c_8185,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8157,c_1868]) ).
tcf(c_8186,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_8157,c_65]) ).
tcf(c_8187,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_8157,c_64]) ).
tcf(c_8188,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8157,c_1867]) ).
tcf(c_8189,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_8157,c_59]) ).
tcf(c_8190,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_8157,c_55]) ).
tcf(c_8191,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8157,c_1866]) ).
tcf(c_8192,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_8157,c_153]) ).
tcf(c_8193,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8157,c_1863]) ).
tcf(c_8194,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8157,c_58]) ).
tcf(c_8195,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8157,c_54]) ).
tcf(c_8198,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sdtpldt0(sz00,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_8157,c_57]) ).
tcf(c_8199,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_8157,c_56]) ).
tcf(c_8373,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_4428,c_101,c_49,c_1927,c_4428]) ).
tcf(c_8375,plain,
aNaturalNumber0(sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_1824,c_8373]) ).
tcf(c_8376,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8373,c_7192]) ).
tcf(c_8377,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8373,c_7191]) ).
tcf(c_8378,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8373,c_7190]) ).
tcf(c_8379,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8373,c_7186]) ).
tcf(c_8380,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8373,c_1856]) ).
tcf(c_8381,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8373,c_6323]) ).
tcf(c_8382,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8373,c_6322]) ).
tcf(c_8383,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8373,c_6321]) ).
tcf(c_8384,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8373,c_6317]) ).
tcf(c_8385,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8373,c_1855]) ).
tcf(c_8386,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8373,c_5582]) ).
tcf(c_8387,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8373,c_5581]) ).
tcf(c_8388,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8373,c_5580]) ).
tcf(c_8389,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8373,c_5576]) ).
tcf(c_8390,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8373,c_1843]) ).
tcf(c_8391,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8373,c_4644]) ).
tcf(c_8392,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8373,c_4643]) ).
tcf(c_8393,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8373,c_4642]) ).
tcf(c_8394,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_8373,c_4638]) ).
tcf(c_8395,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8373,c_1842]) ).
tcf(c_8396,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_8373,c_1890]) ).
tcf(c_8397,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_8373,c_1889]) ).
tcf(c_8398,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_8373,c_1888]) ).
tcf(c_8399,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_8373,c_1885]) ).
tcf(c_8400,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_8373,c_1868]) ).
tcf(c_8401,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_8373,c_65]) ).
tcf(c_8402,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_8373,c_64]) ).
tcf(c_8403,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_8373,c_1867]) ).
tcf(c_8404,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_8373,c_59]) ).
tcf(c_8405,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_8373,c_55]) ).
tcf(c_8406,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_8373,c_1866]) ).
tcf(c_8407,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_8373,c_153]) ).
tcf(c_8408,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_8373,c_1863]) ).
tcf(c_8409,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8373,c_58]) ).
tcf(c_8410,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8373,c_54]) ).
tcf(c_8413,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sdtpldt0(xl,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_8373,c_57]) ).
tcf(c_8414,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(xl,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_8373,c_56]) ).
tcf(c_8536,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8375,c_7192]) ).
tcf(c_8537,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8375,c_7191]) ).
tcf(c_8538,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8375,c_7190]) ).
tcf(c_8539,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8375,c_7186]) ).
tcf(c_8540,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8375,c_1856]) ).
tcf(c_8541,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_8375,c_6323]) ).
tcf(c_8542,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_8375,c_6322]) ).
tcf(c_8543,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_8375,c_6321]) ).
tcf(c_8544,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_8375,c_6317]) ).
tcf(c_8545,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8375,c_1855]) ).
tcf(c_8546,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8375,c_5582]) ).
tcf(c_8547,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8375,c_5581]) ).
tcf(c_8548,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8375,c_5580]) ).
tcf(c_8549,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_8375,c_5576]) ).
tcf(c_8550,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8375,c_1843]) ).
tcf(c_8551,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_8375,c_4644]) ).
tcf(c_8552,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_8375,c_4643]) ).
tcf(c_8553,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_8375,c_4642]) ).
tcf(c_8554,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_8375,c_4638]) ).
tcf(c_8555,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8375,c_1842]) ).
tcf(c_8556,plain,
sdtasdt0(sdtpldt0(xl,xl),xn) = sdtasdt0(xn,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_8375,c_1890]) ).
tcf(c_8557,plain,
sdtasdt0(sdtpldt0(xl,xl),xm) = sdtasdt0(xm,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_8375,c_1889]) ).
tcf(c_8558,plain,
sdtasdt0(sdtpldt0(xl,xl),xl) = sdtasdt0(xl,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_8375,c_1888]) ).
tcf(c_8559,plain,
sdtasdt0(sdtpldt0(xl,xl),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_8375,c_1885]) ).
tcf(c_8560,plain,
sdtpldt0(sdtpldt0(xl,xl),xn) = sdtpldt0(xn,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_8375,c_1868]) ).
tcf(c_8561,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_8375,c_65]) ).
tcf(c_8562,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_8375,c_64]) ).
tcf(c_8563,plain,
sdtpldt0(sdtpldt0(xl,xl),xm) = sdtpldt0(xm,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_8375,c_1867]) ).
tcf(c_8564,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_8375,c_59]) ).
tcf(c_8565,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_8375,c_55]) ).
tcf(c_8566,plain,
sdtpldt0(sdtpldt0(xl,xl),xl) = sdtpldt0(xl,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_8375,c_1866]) ).
tcf(c_8567,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,xl),X0),sdtpldt0(xl,xl)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8375,c_153]) ).
tcf(c_8568,plain,
sdtpldt0(sdtpldt0(xl,xl),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_8375,c_1863]) ).
tcf(c_8569,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,xl),X0) = sdtasdt0(X0,sdtpldt0(xl,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8375,c_58]) ).
tcf(c_8570,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,xl),X0) = sdtpldt0(X0,sdtpldt0(xl,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8375,c_54]) ).
tcf(c_8573,plain,
sdtpldt0(sz00,sdtpldt0(xl,xl)) = sdtpldt0(xl,xl),
inference(superposition,[status(thm)],[c_8375,c_57]) ).
tcf(c_8574,plain,
sdtpldt0(sdtpldt0(xl,xl),sz00) = sdtpldt0(xl,xl),
inference(superposition,[status(thm)],[c_8375,c_56]) ).
tcf(c_8742,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_6971,c_69]) ).
tcf(c_8749,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_6972,c_69]) ).
tcf(c_8756,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_6973,c_69]) ).
tcf(c_8763,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_6974,c_69]) ).
tcf(c_8769,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_6975,c_69]) ).
tcf(c_8775,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_6976,c_69]) ).
tcf(c_8782,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_6977,c_69]) ).
tcf(c_8789,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_6978,c_69]) ).
tcf(c_8796,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_6979,c_69]) ).
tcf(c_8802,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_6980,c_69]) ).
tcf(c_8808,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_6981,c_69]) ).
tcf(c_8814,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_8573,c_66]) ).
tcf(c_8815,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_8573,c_67]) ).
tcf(c_8822,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_8574,c_66]) ).
tcf(c_8823,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_8574,c_67]) ).
tcf(c_8824,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_4452,c_102,c_101,c_49,c_1930,c_4452]) ).
tcf(c_8827,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8824,c_7192]) ).
tcf(c_8828,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8824,c_7191]) ).
tcf(c_8829,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8824,c_7190]) ).
tcf(c_8830,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8824,c_7186]) ).
tcf(c_8831,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8824,c_1856]) ).
tcf(c_8832,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8824,c_6323]) ).
tcf(c_8833,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8824,c_6322]) ).
tcf(c_8834,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8824,c_6321]) ).
tcf(c_8835,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8824,c_6317]) ).
tcf(c_8836,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8824,c_1855]) ).
tcf(c_8837,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8824,c_5582]) ).
tcf(c_8838,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8824,c_5581]) ).
tcf(c_8839,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8824,c_5580]) ).
tcf(c_8840,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8824,c_5576]) ).
tcf(c_8841,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8824,c_1843]) ).
tcf(c_8842,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8824,c_4644]) ).
tcf(c_8843,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8824,c_4643]) ).
tcf(c_8844,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8824,c_4642]) ).
tcf(c_8845,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_8824,c_4638]) ).
tcf(c_8846,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8824,c_1842]) ).
tcf(c_8847,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_8824,c_1890]) ).
tcf(c_8848,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_8824,c_1889]) ).
tcf(c_8849,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_8824,c_1888]) ).
tcf(c_8850,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_8824,c_1885]) ).
tcf(c_8851,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_8824,c_1868]) ).
tcf(c_8852,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_8824,c_65]) ).
tcf(c_8853,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_8824,c_64]) ).
tcf(c_8854,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_8824,c_1867]) ).
tcf(c_8855,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_8824,c_59]) ).
tcf(c_8856,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_8824,c_55]) ).
tcf(c_8857,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_8824,c_1866]) ).
tcf(c_8858,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_8824,c_153]) ).
tcf(c_8859,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_8824,c_1863]) ).
tcf(c_8860,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8824,c_58]) ).
tcf(c_8861,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8824,c_54]) ).
tcf(c_8864,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sdtpldt0(xl,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_8824,c_57]) ).
tcf(c_8865,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(xl,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_8824,c_56]) ).
tcf(c_8967,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_4484,c_103,c_101,c_49,c_1933,c_4484]) ).
tcf(c_8970,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8967,c_7192]) ).
tcf(c_8971,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8967,c_7191]) ).
tcf(c_8972,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8967,c_7190]) ).
tcf(c_8973,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8967,c_7186]) ).
tcf(c_8974,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8967,c_1856]) ).
tcf(c_8975,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8967,c_6323]) ).
tcf(c_8976,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8967,c_6322]) ).
tcf(c_8977,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8967,c_6321]) ).
tcf(c_8978,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8967,c_6317]) ).
tcf(c_8979,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8967,c_1855]) ).
tcf(c_8980,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8967,c_5582]) ).
tcf(c_8981,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8967,c_5581]) ).
tcf(c_8982,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8967,c_5580]) ).
tcf(c_8983,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_8967,c_5576]) ).
tcf(c_8984,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8967,c_1843]) ).
tcf(c_8985,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8967,c_4644]) ).
tcf(c_8986,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8967,c_4643]) ).
tcf(c_8987,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8967,c_4642]) ).
tcf(c_8988,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_8967,c_4638]) ).
tcf(c_8989,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8967,c_1842]) ).
tcf(c_8990,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8967,c_1890]) ).
tcf(c_8991,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8967,c_1889]) ).
tcf(c_8992,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8967,c_1888]) ).
tcf(c_8993,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8967,c_1885]) ).
tcf(c_8994,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8967,c_1868]) ).
tcf(c_8995,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_8967,c_65]) ).
tcf(c_8996,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_8967,c_64]) ).
tcf(c_8997,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8967,c_1867]) ).
tcf(c_8998,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_8967,c_59]) ).
tcf(c_8999,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_8967,c_55]) ).
tcf(c_9000,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8967,c_1866]) ).
tcf(c_9001,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_8967,c_153]) ).
tcf(c_9002,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_8967,c_1863]) ).
tcf(c_9003,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8967,c_58]) ).
tcf(c_9004,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_8967,c_54]) ).
tcf(c_9007,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sdtpldt0(xl,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_8967,c_57]) ).
tcf(c_9008,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(xl,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_8967,c_56]) ).
tcf(c_9145,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_6982,c_69]) ).
tcf(c_9240,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_4507,c_102,c_101,c_2131,c_4507]) ).
tcf(c_9242,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9240,c_7192]) ).
tcf(c_9243,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9240,c_7191]) ).
tcf(c_9244,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9240,c_7190]) ).
tcf(c_9245,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9240,c_7186]) ).
tcf(c_9246,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9240,c_1856]) ).
tcf(c_9247,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9240,c_6323]) ).
tcf(c_9248,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9240,c_6322]) ).
tcf(c_9249,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9240,c_6321]) ).
tcf(c_9250,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9240,c_6317]) ).
tcf(c_9251,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9240,c_1855]) ).
tcf(c_9252,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9240,c_5582]) ).
tcf(c_9253,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9240,c_5581]) ).
tcf(c_9254,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9240,c_5580]) ).
tcf(c_9255,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9240,c_5576]) ).
tcf(c_9256,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9240,c_1843]) ).
tcf(c_9257,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9240,c_4644]) ).
tcf(c_9258,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9240,c_4643]) ).
tcf(c_9259,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9240,c_4642]) ).
tcf(c_9260,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9240,c_4638]) ).
tcf(c_9261,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9240,c_1842]) ).
tcf(c_9262,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9240,c_1890]) ).
tcf(c_9263,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9240,c_1889]) ).
tcf(c_9264,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9240,c_1888]) ).
tcf(c_9265,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9240,c_1885]) ).
tcf(c_9266,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9240,c_1868]) ).
tcf(c_9267,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_9240,c_65]) ).
tcf(c_9268,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_9240,c_64]) ).
tcf(c_9269,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9240,c_1867]) ).
tcf(c_9270,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_9240,c_59]) ).
tcf(c_9271,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_9240,c_55]) ).
tcf(c_9272,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9240,c_1866]) ).
tcf(c_9273,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_9240,c_153]) ).
tcf(c_9274,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9240,c_1863]) ).
tcf(c_9275,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9240,c_58]) ).
tcf(c_9276,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9240,c_54]) ).
tcf(c_9279,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_9240,c_57]) ).
tcf(c_9280,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_9240,c_56]) ).
tcf(c_9386,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_4517,c_102,c_101,c_49,c_2131,c_4517]) ).
tcf(c_9389,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9386,c_7192]) ).
tcf(c_9390,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9386,c_7191]) ).
tcf(c_9391,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9386,c_7190]) ).
tcf(c_9392,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9386,c_7186]) ).
tcf(c_9393,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9386,c_1856]) ).
tcf(c_9394,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9386,c_6323]) ).
tcf(c_9395,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9386,c_6322]) ).
tcf(c_9396,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9386,c_6321]) ).
tcf(c_9397,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9386,c_6317]) ).
tcf(c_9398,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9386,c_1855]) ).
tcf(c_9399,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9386,c_5582]) ).
tcf(c_9400,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9386,c_5581]) ).
tcf(c_9401,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9386,c_5580]) ).
tcf(c_9402,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9386,c_5576]) ).
tcf(c_9403,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9386,c_1843]) ).
tcf(c_9404,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9386,c_4644]) ).
tcf(c_9405,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9386,c_4643]) ).
tcf(c_9406,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9386,c_4642]) ).
tcf(c_9407,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_9386,c_4638]) ).
tcf(c_9408,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9386,c_1842]) ).
tcf(c_9409,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9386,c_1890]) ).
tcf(c_9410,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9386,c_1889]) ).
tcf(c_9411,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9386,c_1888]) ).
tcf(c_9412,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9386,c_1885]) ).
tcf(c_9413,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9386,c_1868]) ).
tcf(c_9414,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_9386,c_65]) ).
tcf(c_9415,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_9386,c_64]) ).
tcf(c_9416,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9386,c_1867]) ).
tcf(c_9417,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_9386,c_59]) ).
tcf(c_9418,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_9386,c_55]) ).
tcf(c_9419,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9386,c_1866]) ).
tcf(c_9420,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_9386,c_153]) ).
tcf(c_9421,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_9386,c_1863]) ).
tcf(c_9422,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9386,c_58]) ).
tcf(c_9423,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9386,c_54]) ).
tcf(c_9426,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sdtpldt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_9386,c_57]) ).
tcf(c_9427,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_9386,c_56]) ).
tcf(c_9603,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_4593,c_103,c_101,c_2146,c_4593]) ).
tcf(c_9605,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9603,c_7192]) ).
tcf(c_9606,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9603,c_7191]) ).
tcf(c_9607,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9603,c_7190]) ).
tcf(c_9608,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9603,c_7186]) ).
tcf(c_9609,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9603,c_1856]) ).
tcf(c_9610,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9603,c_6323]) ).
tcf(c_9611,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9603,c_6322]) ).
tcf(c_9612,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9603,c_6321]) ).
tcf(c_9613,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9603,c_6317]) ).
tcf(c_9614,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9603,c_1855]) ).
tcf(c_9615,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9603,c_5582]) ).
tcf(c_9616,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9603,c_5581]) ).
tcf(c_9617,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9603,c_5580]) ).
tcf(c_9618,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9603,c_5576]) ).
tcf(c_9619,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9603,c_1843]) ).
tcf(c_9620,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9603,c_4644]) ).
tcf(c_9621,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9603,c_4643]) ).
tcf(c_9622,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9603,c_4642]) ).
tcf(c_9623,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9603,c_4638]) ).
tcf(c_9624,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9603,c_1842]) ).
tcf(c_9625,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9603,c_1890]) ).
tcf(c_9626,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9603,c_1889]) ).
tcf(c_9627,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9603,c_1888]) ).
tcf(c_9628,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9603,c_1885]) ).
tcf(c_9629,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9603,c_1868]) ).
tcf(c_9630,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_9603,c_65]) ).
tcf(c_9631,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_9603,c_64]) ).
tcf(c_9632,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9603,c_1867]) ).
tcf(c_9633,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_9603,c_59]) ).
tcf(c_9634,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_9603,c_55]) ).
tcf(c_9635,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9603,c_1866]) ).
tcf(c_9636,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_9603,c_153]) ).
tcf(c_9637,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9603,c_1863]) ).
tcf(c_9638,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9603,c_58]) ).
tcf(c_9639,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9603,c_54]) ).
tcf(c_9642,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_9603,c_57]) ).
tcf(c_9643,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_9603,c_56]) ).
tcf(c_9776,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_4603,c_103,c_101,c_49,c_2146,c_4603]) ).
tcf(c_9779,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9776,c_7192]) ).
tcf(c_9780,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9776,c_7191]) ).
tcf(c_9781,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9776,c_7190]) ).
tcf(c_9782,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9776,c_7186]) ).
tcf(c_9783,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9776,c_1856]) ).
tcf(c_9784,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9776,c_6323]) ).
tcf(c_9785,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9776,c_6322]) ).
tcf(c_9786,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9776,c_6321]) ).
tcf(c_9787,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9776,c_6317]) ).
tcf(c_9788,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9776,c_1855]) ).
tcf(c_9789,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9776,c_5582]) ).
tcf(c_9790,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9776,c_5581]) ).
tcf(c_9791,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9776,c_5580]) ).
tcf(c_9792,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_9776,c_5576]) ).
tcf(c_9793,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9776,c_1843]) ).
tcf(c_9794,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9776,c_4644]) ).
tcf(c_9795,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9776,c_4643]) ).
tcf(c_9796,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9776,c_4642]) ).
tcf(c_9797,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_9776,c_4638]) ).
tcf(c_9798,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9776,c_1842]) ).
tcf(c_9799,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9776,c_1890]) ).
tcf(c_9800,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9776,c_1889]) ).
tcf(c_9801,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9776,c_1888]) ).
tcf(c_9802,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9776,c_1885]) ).
tcf(c_9803,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9776,c_1868]) ).
tcf(c_9804,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xn))),sdtasdt0(X1,sdtpldt0(sz00,sdtpldt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9776,c_65]) ).
tcf(c_9805,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),X0),sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9776,c_64]) ).
tcf(c_9806,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9776,c_1867]) ).
tcf(c_9807,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9776,c_59]) ).
tcf(c_9808,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9776,c_55]) ).
tcf(c_9809,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9776,c_1866]) ).
tcf(c_9810,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),X0),sdtpldt0(sz00,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9776,c_153]) ).
tcf(c_9811,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_9776,c_1863]) ).
tcf(c_9812,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9776,c_58]) ).
tcf(c_9813,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_9776,c_54]) ).
tcf(c_9816,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sdtpldt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_9776,c_57]) ).
tcf(c_9817,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_9776,c_56]) ).
tcf(c_9963,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_7333,c_68]) ).
tcf(c_9970,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_7334,c_68]) ).
tcf(c_9977,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_7335,c_68]) ).
tcf(c_9984,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_7336,c_68]) ).
tcf(c_9990,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_7337,c_68]) ).
tcf(c_9996,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_7338,c_68]) ).
tcf(c_10003,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_7339,c_68]) ).
tcf(c_10010,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_7340,c_68]) ).
tcf(c_10017,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_7341,c_68]) ).
tcf(c_10023,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_7342,c_68]) ).
tcf(c_10029,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_7343,c_68]) ).
tcf(c_10031,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_4613,c_102,c_101,c_49,c_1927,c_4613]) ).
tcf(c_10033,plain,
aNaturalNumber0(sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_1824,c_10031]) ).
tcf(c_10034,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10031,c_7192]) ).
tcf(c_10035,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10031,c_7191]) ).
tcf(c_10036,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10031,c_7190]) ).
tcf(c_10037,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10031,c_7186]) ).
tcf(c_10038,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10031,c_1856]) ).
tcf(c_10039,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_10031,c_6323]) ).
tcf(c_10040,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_10031,c_6322]) ).
tcf(c_10041,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_10031,c_6321]) ).
tcf(c_10042,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_10031,c_6317]) ).
tcf(c_10043,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10031,c_1855]) ).
tcf(c_10044,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10031,c_5582]) ).
tcf(c_10045,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10031,c_5581]) ).
tcf(c_10046,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10031,c_5580]) ).
tcf(c_10047,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10031,c_5576]) ).
tcf(c_10048,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10031,c_1843]) ).
tcf(c_10049,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_10031,c_4644]) ).
tcf(c_10050,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_10031,c_4643]) ).
tcf(c_10051,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_10031,c_4642]) ).
tcf(c_10052,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_10031,c_4638]) ).
tcf(c_10053,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10031,c_1842]) ).
tcf(c_10054,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_10031,c_1890]) ).
tcf(c_10055,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_10031,c_1889]) ).
tcf(c_10056,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_10031,c_1888]) ).
tcf(c_10057,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_10031,c_1885]) ).
tcf(c_10058,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_10031,c_1868]) ).
tcf(c_10059,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xl))),sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10031,c_65]) ).
tcf(c_10060,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10031,c_64]) ).
tcf(c_10061,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_10031,c_1867]) ).
tcf(c_10062,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10031,c_59]) ).
tcf(c_10063,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10031,c_55]) ).
tcf(c_10064,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_10031,c_1866]) ).
tcf(c_10065,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),X0),sdtpldt0(xm,sdtpldt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10031,c_153]) ).
tcf(c_10066,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_10031,c_1863]) ).
tcf(c_10067,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10031,c_58]) ).
tcf(c_10068,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10031,c_54]) ).
tcf(c_10071,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sdtpldt0(xm,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_10031,c_57]) ).
tcf(c_10072,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(xm,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_10031,c_56]) ).
tcf(c_10219,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_4622,c_102,c_49,c_1930,c_4622]) ).
tcf(c_10221,plain,
aNaturalNumber0(sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_1825,c_10219]) ).
tcf(c_10222,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10219,c_7192]) ).
tcf(c_10223,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10219,c_7191]) ).
tcf(c_10224,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10219,c_7190]) ).
tcf(c_10225,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10219,c_7186]) ).
tcf(c_10226,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10219,c_1856]) ).
tcf(c_10227,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_10219,c_6323]) ).
tcf(c_10228,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_10219,c_6322]) ).
tcf(c_10229,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_10219,c_6321]) ).
tcf(c_10230,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_10219,c_6317]) ).
tcf(c_10231,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10219,c_1855]) ).
tcf(c_10232,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10219,c_5582]) ).
tcf(c_10233,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10219,c_5581]) ).
tcf(c_10234,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10219,c_5580]) ).
tcf(c_10235,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_10219,c_5576]) ).
tcf(c_10236,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10219,c_1843]) ).
tcf(c_10237,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_10219,c_4644]) ).
tcf(c_10238,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_10219,c_4643]) ).
tcf(c_10239,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_10219,c_4642]) ).
tcf(c_10240,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_10219,c_4638]) ).
tcf(c_10241,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10219,c_1842]) ).
tcf(c_10242,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_10219,c_1890]) ).
tcf(c_10243,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_10219,c_1889]) ).
tcf(c_10244,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_10219,c_1888]) ).
tcf(c_10245,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_10219,c_1885]) ).
tcf(c_10246,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_10219,c_1868]) ).
tcf(c_10247,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xm))),sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10219,c_65]) ).
tcf(c_10248,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10219,c_64]) ).
tcf(c_10249,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_10219,c_1867]) ).
tcf(c_10250,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10219,c_59]) ).
tcf(c_10251,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10219,c_55]) ).
tcf(c_10252,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_10219,c_1866]) ).
tcf(c_10253,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),X0),sdtpldt0(xm,sdtpldt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10219,c_153]) ).
tcf(c_10254,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_10219,c_1863]) ).
tcf(c_10255,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10219,c_58]) ).
tcf(c_10256,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10219,c_54]) ).
tcf(c_10259,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sdtpldt0(xm,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_10219,c_57]) ).
tcf(c_10260,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(xm,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_10219,c_56]) ).
tcf(c_10379,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_7900,c_66]) ).
tcf(c_10380,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_7900,c_67]) ).
tcf(c_10400,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_7901,c_66]) ).
tcf(c_10401,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_7901,c_67]) ).
tcf(c_10582,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10033,c_7192]) ).
tcf(c_10583,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10033,c_7191]) ).
tcf(c_10584,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10033,c_7190]) ).
tcf(c_10585,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10033,c_7186]) ).
tcf(c_10586,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_1856]) ).
tcf(c_10587,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_10033,c_6323]) ).
tcf(c_10588,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_10033,c_6322]) ).
tcf(c_10589,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_10033,c_6321]) ).
tcf(c_10590,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_10033,c_6317]) ).
tcf(c_10591,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_1855]) ).
tcf(c_10592,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10033,c_5582]) ).
tcf(c_10593,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10033,c_5581]) ).
tcf(c_10594,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10033,c_5580]) ).
tcf(c_10595,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10033,c_5576]) ).
tcf(c_10596,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_1843]) ).
tcf(c_10597,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_10033,c_4644]) ).
tcf(c_10598,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_10033,c_4643]) ).
tcf(c_10599,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_10033,c_4642]) ).
tcf(c_10600,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_10033,c_4638]) ).
tcf(c_10601,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_1842]) ).
tcf(c_10602,plain,
sdtasdt0(sdtpldt0(xm,xl),xn) = sdtasdt0(xn,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_10033,c_1890]) ).
tcf(c_10603,plain,
sdtasdt0(sdtpldt0(xm,xl),xm) = sdtasdt0(xm,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_10033,c_1889]) ).
tcf(c_10604,plain,
sdtasdt0(sdtpldt0(xm,xl),xl) = sdtasdt0(xl,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_10033,c_1888]) ).
tcf(c_10605,plain,
sdtasdt0(sdtpldt0(xm,xl),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_10033,c_1885]) ).
tcf(c_10606,plain,
sdtpldt0(sdtpldt0(xm,xl),xn) = sdtpldt0(xn,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_10033,c_1868]) ).
tcf(c_10607,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xl)),sdtasdt0(X1,sdtpldt0(xm,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_65]) ).
tcf(c_10608,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xl),X0),sdtasdt0(sdtpldt0(xm,xl),X1)) = sdtasdt0(sdtpldt0(xm,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_64]) ).
tcf(c_10609,plain,
sdtpldt0(sdtpldt0(xm,xl),xm) = sdtpldt0(xm,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_10033,c_1867]) ).
tcf(c_10610,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xl),X0),X1) = sdtasdt0(sdtpldt0(xm,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_59]) ).
tcf(c_10611,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xl),X0),X1) = sdtpldt0(sdtpldt0(xm,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_55]) ).
tcf(c_10612,plain,
sdtpldt0(sdtpldt0(xm,xl),xl) = sdtpldt0(xl,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_10033,c_1866]) ).
tcf(c_10613,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xl),X0),sdtpldt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_153]) ).
tcf(c_10614,plain,
sdtpldt0(sdtpldt0(xm,xl),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_10033,c_1863]) ).
tcf(c_10615,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xl),X0) = sdtasdt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_58]) ).
tcf(c_10616,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xl),X0) = sdtpldt0(X0,sdtpldt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_54]) ).
tcf(c_10619,plain,
sdtpldt0(sz00,sdtpldt0(xm,xl)) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_10033,c_57]) ).
tcf(c_10620,plain,
sdtpldt0(sdtpldt0(xm,xl),sz00) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_10033,c_56]) ).
tcf(c_10630,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10221,c_7192]) ).
tcf(c_10631,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10221,c_7191]) ).
tcf(c_10632,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10221,c_7190]) ).
tcf(c_10633,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10221,c_7186]) ).
tcf(c_10634,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10221,c_1856]) ).
tcf(c_10635,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_10221,c_6323]) ).
tcf(c_10636,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_10221,c_6322]) ).
tcf(c_10637,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_10221,c_6321]) ).
tcf(c_10638,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_10221,c_6317]) ).
tcf(c_10639,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10221,c_1855]) ).
tcf(c_10640,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10221,c_5582]) ).
tcf(c_10641,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10221,c_5581]) ).
tcf(c_10642,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10221,c_5580]) ).
tcf(c_10643,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_10221,c_5576]) ).
tcf(c_10644,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10221,c_1843]) ).
tcf(c_10645,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_10221,c_4644]) ).
tcf(c_10646,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_10221,c_4643]) ).
tcf(c_10647,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_10221,c_4642]) ).
tcf(c_10648,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_10221,c_4638]) ).
tcf(c_10649,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10221,c_1842]) ).
tcf(c_10650,plain,
sdtasdt0(sdtpldt0(xm,xm),xn) = sdtasdt0(xn,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_10221,c_1890]) ).
tcf(c_10651,plain,
sdtasdt0(sdtpldt0(xm,xm),xm) = sdtasdt0(xm,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_10221,c_1889]) ).
tcf(c_10652,plain,
sdtasdt0(sdtpldt0(xm,xm),xl) = sdtasdt0(xl,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_10221,c_1888]) ).
tcf(c_10653,plain,
sdtasdt0(sdtpldt0(xm,xm),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_10221,c_1885]) ).
tcf(c_10654,plain,
sdtpldt0(sdtpldt0(xm,xm),xn) = sdtpldt0(xn,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_10221,c_1868]) ).
tcf(c_10655,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,xm)),sdtasdt0(X1,sdtpldt0(xm,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10221,c_65]) ).
tcf(c_10656,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,xm),X0),sdtasdt0(sdtpldt0(xm,xm),X1)) = sdtasdt0(sdtpldt0(xm,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10221,c_64]) ).
tcf(c_10657,plain,
sdtpldt0(sdtpldt0(xm,xm),xm) = sdtpldt0(xm,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_10221,c_1867]) ).
tcf(c_10658,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,xm),X0),X1) = sdtasdt0(sdtpldt0(xm,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10221,c_59]) ).
tcf(c_10659,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,xm),X0),X1) = sdtpldt0(sdtpldt0(xm,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10221,c_55]) ).
tcf(c_10660,plain,
sdtpldt0(sdtpldt0(xm,xm),xl) = sdtpldt0(xl,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_10221,c_1866]) ).
tcf(c_10661,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,xm),X0),sdtpldt0(xm,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10221,c_153]) ).
tcf(c_10662,plain,
sdtpldt0(sdtpldt0(xm,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_10221,c_1863]) ).
tcf(c_10663,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,xm),X0) = sdtasdt0(X0,sdtpldt0(xm,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10221,c_58]) ).
tcf(c_10664,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,xm),X0) = sdtpldt0(X0,sdtpldt0(xm,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_10221,c_54]) ).
tcf(c_10667,plain,
sdtpldt0(sz00,sdtpldt0(xm,xm)) = sdtpldt0(xm,xm),
inference(superposition,[status(thm)],[c_10221,c_57]) ).
tcf(c_10668,plain,
sdtpldt0(sdtpldt0(xm,xm),sz00) = sdtpldt0(xm,xm),
inference(superposition,[status(thm)],[c_10221,c_56]) ).
tcf(c_10714,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_7344,c_68]) ).
tcf(c_10720,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_7462,c_68]) ).
tcf(c_10727,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_7463,c_68]) ).
tcf(c_10748,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_7464,c_68]) ).
tcf(c_10755,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_7465,c_68]) ).
tcf(c_10761,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_7466,c_68]) ).
tcf(c_10767,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_7467,c_68]) ).
tcf(c_10774,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_7468,c_68]) ).
tcf(c_10781,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_7469,c_68]) ).
tcf(c_10788,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_7470,c_68]) ).
tcf(c_10796,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_10619,c_66]) ).
tcf(c_10797,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_10619,c_67]) ).
tcf(c_10805,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_10620,c_66]) ).
tcf(c_10806,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_10620,c_67]) ).
tcf(c_10812,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_10667,c_66]) ).
tcf(c_10813,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_10667,c_67]) ).
tcf(c_10820,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_10668,c_66]) ).
tcf(c_10821,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_10668,c_67]) ).
tcf(c_10826,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_7471,c_68]) ).
tcf(c_10850,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_7472,c_68]) ).
tcf(c_10856,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_7473,c_68]) ).
tcf(c_10862,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_7721,c_68]) ).
tcf(c_10869,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_7722,c_68]) ).
tcf(c_10876,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_7723,c_68]) ).
tcf(c_10883,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_7724,c_68]) ).
tcf(c_10889,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_7725,c_68]) ).
tcf(c_10895,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_7726,c_68]) ).
tcf(c_10933,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_7727,c_68]) ).
tcf(c_10940,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_7728,c_68]) ).
tcf(c_10947,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_7729,c_68]) ).
tcf(c_10954,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_8031,c_66]) ).
tcf(c_10955,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_8031,c_67]) ).
tcf(c_10964,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_8032,c_66]) ).
tcf(c_10965,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_8032,c_67]) ).
tcf(c_10971,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_8198,c_66]) ).
tcf(c_10972,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_8198,c_67]) ).
tcf(c_10981,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_8199,c_66]) ).
tcf(c_10982,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_8199,c_67]) ).
tcf(c_10987,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_7730,c_68]) ).
tcf(c_10993,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_7731,c_68]) ).
tcf(c_10999,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_7732,c_68]) ).
tcf(c_11165,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_8536,c_68]) ).
tcf(c_11171,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_8537,c_68]) ).
tcf(c_11177,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_8538,c_68]) ).
tcf(c_11191,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_8541,c_69]) ).
tcf(c_11197,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_8542,c_69]) ).
tcf(c_11203,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_8543,c_69]) ).
tcf(c_11215,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_8546,c_68]) ).
tcf(c_11223,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_8413,c_66]) ).
tcf(c_11224,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_8413,c_67]) ).
tcf(c_11232,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_8414,c_66]) ).
tcf(c_11233,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_8414,c_67]) ).
tcf(c_11240,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xm)))
| ( sdtpldt0(xl,sdtpldt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_8864,c_66]) ).
tcf(c_11241,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xm)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xm))) != sdtpldt0(xl,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_8864,c_67]) ).
tcf(c_11249,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xm)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xm)),X0) != sdtpldt0(xl,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_8865,c_66]) ).
tcf(c_11250,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xm)))
| ( sdtpldt0(xl,sdtpldt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_8865,c_67]) ).
tcf(c_11255,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_8547,c_68]) ).
tcf(c_11261,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_8548,c_68]) ).
tcf(c_11268,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_8549,c_68]) ).
tcf(c_11275,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_8551,c_69]) ).
tcf(c_11281,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_8552,c_69]) ).
tcf(c_11287,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_8553,c_69]) ).
tcf(c_11294,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_8554,c_69]) ).
tcf(c_11300,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xl)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10582,c_68]) ).
tcf(c_11307,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xl)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10583,c_68]) ).
tcf(c_11314,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xl)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10584,c_68]) ).
tcf(c_11330,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xl)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10587,c_69]) ).
tcf(c_11337,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xn)))
| ( sdtpldt0(xl,sdtpldt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_9007,c_66]) ).
tcf(c_11338,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xn)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(sz00,xn))) != sdtpldt0(xl,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_9007,c_67]) ).
tcf(c_11346,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xn)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(sz00,xn)),X0) != sdtpldt0(xl,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_9008,c_66]) ).
tcf(c_11347,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,xn)))
| ( sdtpldt0(xl,sdtpldt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_9008,c_67]) ).
tcf(c_11353,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_9279,c_66]) ).
tcf(c_11354,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xm))) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_9279,c_67]) ).
tcf(c_11361,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xm)),X0) != sdtpldt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_9280,c_66]) ).
tcf(c_11362,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_9280,c_67]) ).
tcf(c_11369,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xl)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10588,c_69]) ).
tcf(c_11376,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xl)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10589,c_69]) ).
tcf(c_11390,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10592,c_68]) ).
tcf(c_11397,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10593,c_68]) ).
tcf(c_11404,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10594,c_68]) ).
tcf(c_11412,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10595,c_68]) ).
tcf(c_11420,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10597,c_69]) ).
tcf(c_11427,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10598,c_69]) ).
tcf(c_11434,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10599,c_69]) ).
tcf(c_11442,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_10600,c_69]) ).
tcf(c_11447,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xm)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10630,c_68]) ).
tcf(c_11454,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(sz00,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_9426,c_66]) ).
tcf(c_11455,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xm))) != sdtpldt0(sz00,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_9426,c_67]) ).
tcf(c_11463,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xm)),X0) != sdtpldt0(sz00,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_9427,c_66]) ).
tcf(c_11464,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(sz00,sdtpldt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_9427,c_67]) ).
tcf(c_11470,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_9642,c_66]) ).
tcf(c_11471,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xn))) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_9642,c_67]) ).
tcf(c_11478,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xn)),X0) != sdtpldt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_9643,c_66]) ).
tcf(c_11479,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_9643,c_67]) ).
tcf(c_11484,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xm)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10631,c_68]) ).
tcf(c_11490,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xm)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10632,c_68]) ).
tcf(c_11504,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xm)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10635,c_69]) ).
tcf(c_11510,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xm)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10636,c_69]) ).
tcf(c_11516,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xm)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10637,c_69]) ).
tcf(c_11528,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xm)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10640,c_68]) ).
tcf(c_11534,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xm)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10641,c_68]) ).
tcf(c_11540,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xm)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10642,c_68]) ).
tcf(c_11547,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xm)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10643,c_68]) ).
tcf(c_11554,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xm)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10645,c_69]) ).
tcf(c_11560,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(sz00,sdtpldt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_9816,c_66]) ).
tcf(c_11561,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xn))) != sdtpldt0(sz00,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_9816,c_67]) ).
tcf(c_11569,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xn)),X0) != sdtpldt0(sz00,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_9817,c_66]) ).
tcf(c_11570,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(sz00,sdtpldt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_9817,c_67]) ).
tcf(c_11582,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xl)))
| ( sdtpldt0(xm,sdtpldt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_10071,c_66]) ).
tcf(c_11583,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xl)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xl))) != sdtpldt0(xm,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_10071,c_67]) ).
tcf(c_11591,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xl)))
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xl)),X0) != sdtpldt0(xm,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_10072,c_66]) ).
tcf(c_11592,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xl)))
| ( sdtpldt0(xm,sdtpldt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_10072,c_67]) ).
tcf(c_11622,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xm)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10646,c_69]) ).
tcf(c_11628,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xm)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10647,c_69]) ).
tcf(c_11635,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_10648,c_69]) ).
tcf(c_11639,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(xm,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2552,c_71]) ).
tcf(c_11640,plain,
( ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(xm,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2552,c_70]) ).
tcf(c_11641,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_2552,c_52]) ).
tcf(c_11642,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_2552,c_66]) ).
tcf(c_11643,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_2552,c_67]) ).
tcf(c_11648,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2553,c_71]) ).
tcf(c_11649,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2553,c_70]) ).
tcf(c_11650,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2553,c_52]) ).
tcf(c_11651,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_2553,c_66]) ).
tcf(c_11652,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_2553,c_67]) ).
tcf(c_11663,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2554,c_71]) ).
tcf(c_11664,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2554,c_70]) ).
tcf(c_11665,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2554,c_52]) ).
tcf(c_11666,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xm,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_2554,c_66]) ).
tcf(c_11667,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_2554,c_67]) ).
tcf(c_11699,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2816,c_71]) ).
tcf(c_11700,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2816,c_70]) ).
tcf(c_11701,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_2816,c_52]) ).
tcf(c_11702,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),X0) != sdtpldt0(xm,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_2816,c_66]) ).
tcf(c_11703,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_2816,c_67]) ).
tcf(c_11708,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2819,c_71]) ).
tcf(c_11709,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2819,c_70]) ).
tcf(c_11710,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_2819,c_52]) ).
tcf(c_11711,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),X0) != sdtpldt0(xl,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_2819,c_66]) ).
tcf(c_11712,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_2819,c_67]) ).
tcf(c_11719,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sz00,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2821,c_70]) ).
tcf(c_11720,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_2821,c_52]) ).
tcf(c_11721,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),X0) != sdtpldt0(sz00,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_2821,c_66]) ).
tcf(c_11722,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sz00,sdtpldt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_2821,c_67]) ).
tcf(c_11726,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2964,c_71]) ).
tcf(c_11727,plain,
( ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2964,c_70]) ).
tcf(c_11728,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_2964,c_52]) ).
tcf(c_11729,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(sdtpldt0(xm,xn),X0) != sdtpldt0(xn,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_2964,c_66]) ).
tcf(c_11730,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_2964,c_67]) ).
tcf(c_11752,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(xn,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2965,c_71]) ).
tcf(c_11753,plain,
( ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(xn,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2965,c_70]) ).
tcf(c_11754,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_2965,c_52]) ).
tcf(c_11755,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(sdtpldt0(sz00,xl),X0) != sdtpldt0(xn,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_2965,c_66]) ).
tcf(c_11756,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtpldt0(xn,sdtpldt0(sz00,xl)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_2965,c_67]) ).
tcf(c_11821,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(xn,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2966,c_71]) ).
tcf(c_11822,plain,
( ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(xn,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2966,c_70]) ).
tcf(c_11823,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_2966,c_52]) ).
tcf(c_11824,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(sdtpldt0(sz00,xm),X0) != sdtpldt0(xn,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_2966,c_66]) ).
tcf(c_11825,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtpldt0(xn,sdtpldt0(sz00,xm)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_2966,c_67]) ).
tcf(c_11834,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xm)))
| ( sdtpldt0(xm,sdtpldt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_10259,c_66]) ).
tcf(c_11835,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xm)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xm))) != sdtpldt0(xm,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_10259,c_67]) ).
tcf(c_11843,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xm)))
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xm)),X0) != sdtpldt0(xm,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_10260,c_66]) ).
tcf(c_11844,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xm)))
| ( sdtpldt0(xm,sdtpldt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_10260,c_67]) ).
tcf(c_11845,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_11641,c_103,c_102,c_49,c_1933,c_11641]) ).
tcf(c_11848,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11845,c_7192]) ).
tcf(c_11849,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11845,c_7191]) ).
tcf(c_11850,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11845,c_7190]) ).
tcf(c_11851,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11845,c_7186]) ).
tcf(c_11852,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11845,c_1856]) ).
tcf(c_11853,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_11845,c_6323]) ).
tcf(c_11854,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_11845,c_6322]) ).
tcf(c_11855,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_11845,c_6321]) ).
tcf(c_11856,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_11845,c_6317]) ).
tcf(c_11857,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11845,c_1855]) ).
tcf(c_11858,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11845,c_5582]) ).
tcf(c_11859,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11845,c_5581]) ).
tcf(c_11860,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11845,c_5580]) ).
tcf(c_11861,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11845,c_5576]) ).
tcf(c_11862,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11845,c_1843]) ).
tcf(c_11863,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_11845,c_4644]) ).
tcf(c_11864,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_11845,c_4643]) ).
tcf(c_11865,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_11845,c_4642]) ).
tcf(c_11866,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_11845,c_4638]) ).
tcf(c_11867,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11845,c_1842]) ).
tcf(c_11868,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_11845,c_1890]) ).
tcf(c_11869,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_11845,c_1889]) ).
tcf(c_11870,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_11845,c_1888]) ).
tcf(c_11871,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_11845,c_1885]) ).
tcf(c_11872,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_11845,c_1868]) ).
tcf(c_11873,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xn))),sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11845,c_65]) ).
tcf(c_11874,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11845,c_64]) ).
tcf(c_11875,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_11845,c_1867]) ).
tcf(c_11876,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11845,c_59]) ).
tcf(c_11877,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11845,c_55]) ).
tcf(c_11878,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_11845,c_1866]) ).
tcf(c_11879,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),X0),sdtpldt0(xm,sdtpldt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11845,c_153]) ).
tcf(c_11880,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_11845,c_1863]) ).
tcf(c_11881,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11845,c_58]) ).
tcf(c_11882,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11845,c_54]) ).
tcf(c_11885,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sdtpldt0(xm,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_11845,c_57]) ).
tcf(c_11886,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(xm,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_11845,c_56]) ).
tcf(c_11997,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_11650,c_102,c_101,c_2131,c_11650]) ).
tcf(c_11999,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11997,c_7192]) ).
tcf(c_12000,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11997,c_7191]) ).
tcf(c_12001,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11997,c_7190]) ).
tcf(c_12002,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11997,c_7186]) ).
tcf(c_12003,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11997,c_1856]) ).
tcf(c_12004,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_11997,c_6323]) ).
tcf(c_12005,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_11997,c_6322]) ).
tcf(c_12006,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_11997,c_6321]) ).
tcf(c_12007,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_11997,c_6317]) ).
tcf(c_12008,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11997,c_1855]) ).
tcf(c_12009,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11997,c_5582]) ).
tcf(c_12010,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11997,c_5581]) ).
tcf(c_12011,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11997,c_5580]) ).
tcf(c_12012,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_11997,c_5576]) ).
tcf(c_12013,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11997,c_1843]) ).
tcf(c_12014,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_11997,c_4644]) ).
tcf(c_12015,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_11997,c_4643]) ).
tcf(c_12016,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_11997,c_4642]) ).
tcf(c_12017,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_11997,c_4638]) ).
tcf(c_12018,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11997,c_1842]) ).
tcf(c_12019,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_11997,c_1890]) ).
tcf(c_12020,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_11997,c_1889]) ).
tcf(c_12021,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_11997,c_1888]) ).
tcf(c_12022,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_11997,c_1885]) ).
tcf(c_12023,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_11997,c_1868]) ).
tcf(c_12024,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))),sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11997,c_65]) ).
tcf(c_12025,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11997,c_64]) ).
tcf(c_12026,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_11997,c_1867]) ).
tcf(c_12027,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11997,c_59]) ).
tcf(c_12028,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11997,c_55]) ).
tcf(c_12029,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_11997,c_1866]) ).
tcf(c_12030,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0),sdtpldt0(xm,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11997,c_153]) ).
tcf(c_12031,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_11997,c_1863]) ).
tcf(c_12032,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11997,c_58]) ).
tcf(c_12033,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_11997,c_54]) ).
tcf(c_12036,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_11997,c_57]) ).
tcf(c_12037,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_11997,c_56]) ).
tcf(c_12188,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(xn,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2967,c_71]) ).
tcf(c_12189,plain,
( ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(xn,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2967,c_70]) ).
tcf(c_12190,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_2967,c_52]) ).
tcf(c_12191,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(sdtpldt0(sz00,xn),X0) != sdtpldt0(xn,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_2967,c_66]) ).
tcf(c_12192,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtpldt0(xn,sdtpldt0(sz00,xn)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_2967,c_67]) ).
tcf(c_12217,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2968,c_71]) ).
tcf(c_12218,plain,
( ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2968,c_70]) ).
tcf(c_12219,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_2968,c_52]) ).
tcf(c_12220,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xn,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_2968,c_66]) ).
tcf(c_12221,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_2968,c_67]) ).
tcf(c_12226,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2969,c_71]) ).
tcf(c_12227,plain,
( ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_2969,c_70]) ).
tcf(c_12228,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_2969,c_52]) ).
tcf(c_12229,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(sdtpldt0(xl,xn),X0) != sdtpldt0(xn,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_2969,c_66]) ).
tcf(c_12230,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_2969,c_67]) ).
tcf(c_12237,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_3028,c_53]) ).
tcf(c_12238,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(sdtpldt0(xm,xn),X0) != sdtasdt0(sz00,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_3028,c_68]) ).
tcf(c_12421,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3029,c_53]) ).
tcf(c_12422,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(sdtpldt0(sz00,xl),X0) != sdtasdt0(sz00,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_3029,c_68]) ).
tcf(c_12430,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3030,c_53]) ).
tcf(c_12431,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(sdtpldt0(sz00,xm),X0) != sdtasdt0(sz00,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_3030,c_68]) ).
tcf(c_12439,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3031,c_53]) ).
tcf(c_12440,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(sdtpldt0(sz00,xn),X0) != sdtasdt0(sz00,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_3031,c_68]) ).
tcf(c_12447,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3032,c_53]) ).
tcf(c_12448,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sdtasdt0(sz00,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_3032,c_68]) ).
tcf(c_12455,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3033,c_53]) ).
tcf(c_12456,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sdtasdt0(sz00,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_3033,c_68]) ).
tcf(c_12463,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3104,c_53]) ).
tcf(c_12470,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(xn,sdtasdt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3105,c_71]) ).
tcf(c_12472,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3105,c_52]) ).
tcf(c_12473,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(sdtasdt0(sz00,xl),X0) != sdtpldt0(xn,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_3105,c_66]) ).
tcf(c_12474,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(xn,sdtasdt0(sz00,xl)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_3105,c_67]) ).
tcf(c_12479,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(xm,sdtasdt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3108,c_71]) ).
tcf(c_12481,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3108,c_52]) ).
tcf(c_12482,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(sdtasdt0(sz00,xl),X0) != sdtpldt0(xm,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_3108,c_66]) ).
tcf(c_12483,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(xm,sdtasdt0(sz00,xl)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_3108,c_67]) ).
tcf(c_12485,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_11665,c_103,c_102,c_101,c_2146,c_11665]) ).
tcf(c_12487,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12485,c_7192]) ).
tcf(c_12488,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12485,c_7191]) ).
tcf(c_12489,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12485,c_7190]) ).
tcf(c_12490,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12485,c_7186]) ).
tcf(c_12491,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12485,c_1856]) ).
tcf(c_12492,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12485,c_6323]) ).
tcf(c_12493,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12485,c_6322]) ).
tcf(c_12494,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12485,c_6321]) ).
tcf(c_12495,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12485,c_6317]) ).
tcf(c_12496,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12485,c_1855]) ).
tcf(c_12497,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12485,c_5582]) ).
tcf(c_12498,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12485,c_5581]) ).
tcf(c_12499,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12485,c_5580]) ).
tcf(c_12500,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12485,c_5576]) ).
tcf(c_12501,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12485,c_1843]) ).
tcf(c_12502,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12485,c_4644]) ).
tcf(c_12503,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12485,c_4643]) ).
tcf(c_12504,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12485,c_4642]) ).
tcf(c_12505,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12485,c_4638]) ).
tcf(c_12506,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12485,c_1842]) ).
tcf(c_12507,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_12485,c_1890]) ).
tcf(c_12508,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_12485,c_1889]) ).
tcf(c_12509,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_12485,c_1888]) ).
tcf(c_12510,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_12485,c_1885]) ).
tcf(c_12511,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_12485,c_1868]) ).
tcf(c_12512,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))),sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12485,c_65]) ).
tcf(c_12513,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12485,c_64]) ).
tcf(c_12514,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_12485,c_1867]) ).
tcf(c_12515,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12485,c_59]) ).
tcf(c_12516,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12485,c_55]) ).
tcf(c_12517,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_12485,c_1866]) ).
tcf(c_12518,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0),sdtpldt0(xm,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12485,c_153]) ).
tcf(c_12519,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_12485,c_1863]) ).
tcf(c_12520,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12485,c_58]) ).
tcf(c_12521,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12485,c_54]) ).
tcf(c_12524,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_12485,c_57]) ).
tcf(c_12525,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_12485,c_56]) ).
tcf(c_12535,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_11701,c_103,c_102,c_1980,c_11701]) ).
tcf(c_12537,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12535,c_7192]) ).
tcf(c_12538,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12535,c_7191]) ).
tcf(c_12539,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12535,c_7190]) ).
tcf(c_12540,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12535,c_7186]) ).
tcf(c_12541,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12535,c_1856]) ).
tcf(c_12542,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12535,c_6323]) ).
tcf(c_12543,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12535,c_6322]) ).
tcf(c_12544,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12535,c_6321]) ).
tcf(c_12545,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12535,c_6317]) ).
tcf(c_12546,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12535,c_1855]) ).
tcf(c_12547,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12535,c_5582]) ).
tcf(c_12548,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12535,c_5581]) ).
tcf(c_12549,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12535,c_5580]) ).
tcf(c_12550,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12535,c_5576]) ).
tcf(c_12551,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12535,c_1843]) ).
tcf(c_12552,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12535,c_4644]) ).
tcf(c_12553,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12535,c_4643]) ).
tcf(c_12554,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12535,c_4642]) ).
tcf(c_12555,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12535,c_4638]) ).
tcf(c_12556,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12535,c_1842]) ).
tcf(c_12557,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12535,c_1890]) ).
tcf(c_12558,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12535,c_1889]) ).
tcf(c_12559,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12535,c_1888]) ).
tcf(c_12560,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12535,c_1885]) ).
tcf(c_12561,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12535,c_1868]) ).
tcf(c_12562,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))),sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12535,c_65]) ).
tcf(c_12563,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12535,c_64]) ).
tcf(c_12564,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12535,c_1867]) ).
tcf(c_12565,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12535,c_59]) ).
tcf(c_12566,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12535,c_55]) ).
tcf(c_12567,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12535,c_1866]) ).
tcf(c_12568,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0),sdtpldt0(xm,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12535,c_153]) ).
tcf(c_12569,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12535,c_1863]) ).
tcf(c_12570,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12535,c_58]) ).
tcf(c_12571,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12535,c_54]) ).
tcf(c_12574,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12535,c_57]) ).
tcf(c_12575,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),sz00) = sdtpldt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12535,c_56]) ).
tcf(c_12630,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_11710,c_103,c_102,c_101,c_1980,c_6537]) ).
tcf(c_12632,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12630,c_7192]) ).
tcf(c_12633,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12630,c_7191]) ).
tcf(c_12634,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12630,c_7190]) ).
tcf(c_12635,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12630,c_7186]) ).
tcf(c_12636,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12630,c_1856]) ).
tcf(c_12637,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12630,c_6323]) ).
tcf(c_12638,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12630,c_6322]) ).
tcf(c_12639,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12630,c_6321]) ).
tcf(c_12640,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12630,c_6317]) ).
tcf(c_12641,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12630,c_1855]) ).
tcf(c_12642,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12630,c_5582]) ).
tcf(c_12643,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12630,c_5581]) ).
tcf(c_12644,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12630,c_5580]) ).
tcf(c_12645,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12630,c_5576]) ).
tcf(c_12646,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12630,c_1843]) ).
tcf(c_12647,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12630,c_4644]) ).
tcf(c_12648,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12630,c_4643]) ).
tcf(c_12649,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12630,c_4642]) ).
tcf(c_12650,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12630,c_4638]) ).
tcf(c_12651,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12630,c_1842]) ).
tcf(c_12652,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12630,c_1890]) ).
tcf(c_12653,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12630,c_1889]) ).
tcf(c_12654,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12630,c_1888]) ).
tcf(c_12655,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12630,c_1885]) ).
tcf(c_12656,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12630,c_1868]) ).
tcf(c_12657,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))),sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12630,c_65]) ).
tcf(c_12658,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X1)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12630,c_64]) ).
tcf(c_12659,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12630,c_1867]) ).
tcf(c_12660,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12630,c_59]) ).
tcf(c_12661,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12630,c_55]) ).
tcf(c_12662,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12630,c_1866]) ).
tcf(c_12663,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0),sdtpldt0(xl,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12630,c_153]) ).
tcf(c_12664,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12630,c_1863]) ).
tcf(c_12665,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12630,c_58]) ).
tcf(c_12666,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12630,c_54]) ).
tcf(c_12669,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12630,c_57]) ).
tcf(c_12670,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),sz00) = sdtpldt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12630,c_56]) ).
tcf(c_12750,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_11720,c_103,c_102,c_49,c_1980,c_6532]) ).
tcf(c_12753,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12750,c_7192]) ).
tcf(c_12754,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12750,c_7191]) ).
tcf(c_12755,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12750,c_7190]) ).
tcf(c_12756,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12750,c_7186]) ).
tcf(c_12757,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12750,c_1856]) ).
tcf(c_12758,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12750,c_6323]) ).
tcf(c_12759,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12750,c_6322]) ).
tcf(c_12760,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12750,c_6321]) ).
tcf(c_12761,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12750,c_6317]) ).
tcf(c_12762,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12750,c_1855]) ).
tcf(c_12763,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12750,c_5582]) ).
tcf(c_12764,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12750,c_5581]) ).
tcf(c_12765,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12750,c_5580]) ).
tcf(c_12766,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_12750,c_5576]) ).
tcf(c_12767,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12750,c_1843]) ).
tcf(c_12768,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12750,c_4644]) ).
tcf(c_12769,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12750,c_4643]) ).
tcf(c_12770,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12750,c_4642]) ).
tcf(c_12771,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_12750,c_4638]) ).
tcf(c_12772,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12750,c_1842]) ).
tcf(c_12773,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12750,c_1890]) ).
tcf(c_12774,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12750,c_1889]) ).
tcf(c_12775,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12750,c_1888]) ).
tcf(c_12776,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12750,c_1885]) ).
tcf(c_12777,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12750,c_1868]) ).
tcf(c_12778,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,xn))),sdtasdt0(X1,sdtpldt0(sz00,sdtpldt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12750,c_65]) ).
tcf(c_12779,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),X0),sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12750,c_64]) ).
tcf(c_12780,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12750,c_1867]) ).
tcf(c_12781,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12750,c_59]) ).
tcf(c_12782,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12750,c_55]) ).
tcf(c_12783,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12750,c_1866]) ).
tcf(c_12784,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),X0),sdtpldt0(sz00,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12750,c_153]) ).
tcf(c_12785,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_12750,c_1863]) ).
tcf(c_12786,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12750,c_58]) ).
tcf(c_12787,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_12750,c_54]) ).
tcf(c_12790,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sdtpldt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12750,c_57]) ).
tcf(c_12791,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_12750,c_56]) ).
tcf(c_12929,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(xl,sdtasdt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3111,c_71]) ).
tcf(c_12931,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3111,c_52]) ).
tcf(c_12932,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(sdtasdt0(sz00,xl),X0) != sdtpldt0(xl,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_3111,c_66]) ).
tcf(c_12933,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(xl,sdtasdt0(sz00,xl)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3111,c_67]) ).
tcf(c_13022,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3113,c_52]) ).
tcf(c_13023,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(sdtasdt0(sz00,xl),X0) != sdtpldt0(sz00,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_3113,c_66]) ).
tcf(c_13024,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtpldt0(sz00,sdtasdt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_3113,c_67]) ).
tcf(c_13030,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3343,c_53]) ).
tcf(c_13037,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(xn,sdtasdt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3344,c_71]) ).
tcf(c_13039,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3344,c_52]) ).
tcf(c_13040,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(sdtasdt0(sz00,xm),X0) != sdtpldt0(xn,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_3344,c_66]) ).
tcf(c_13041,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(xn,sdtasdt0(sz00,xm)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_3344,c_67]) ).
tcf(c_13046,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(xm,sdtasdt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3347,c_71]) ).
tcf(c_13048,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3347,c_52]) ).
tcf(c_13049,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(sdtasdt0(sz00,xm),X0) != sdtpldt0(xm,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_3347,c_66]) ).
tcf(c_13050,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(xm,sdtasdt0(sz00,xm)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_3347,c_67]) ).
tcf(c_13055,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(xl,sdtasdt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3350,c_71]) ).
tcf(c_13057,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3350,c_52]) ).
tcf(c_13058,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(sdtasdt0(sz00,xm),X0) != sdtpldt0(xl,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_3350,c_66]) ).
tcf(c_13059,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(xl,sdtasdt0(sz00,xm)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3350,c_67]) ).
tcf(c_13066,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3352,c_52]) ).
tcf(c_13067,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(sdtasdt0(sz00,xm),X0) != sdtpldt0(sz00,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_3352,c_66]) ).
tcf(c_13068,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtpldt0(sz00,sdtasdt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_3352,c_67]) ).
tcf(c_13074,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3426,c_53]) ).
tcf(c_13081,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(xn,sdtasdt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3427,c_71]) ).
tcf(c_13083,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3427,c_52]) ).
tcf(c_13084,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(sdtasdt0(sz00,xn),X0) != sdtpldt0(xn,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_3427,c_66]) ).
tcf(c_13085,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(xn,sdtasdt0(sz00,xn)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_3427,c_67]) ).
tcf(c_13090,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(xm,sdtasdt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3430,c_71]) ).
tcf(c_13092,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3430,c_52]) ).
tcf(c_13093,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(sdtasdt0(sz00,xn),X0) != sdtpldt0(xm,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_3430,c_66]) ).
tcf(c_13094,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(xm,sdtasdt0(sz00,xn)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_3430,c_67]) ).
tcf(c_13099,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(xl,sdtasdt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3433,c_71]) ).
tcf(c_13101,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3433,c_52]) ).
tcf(c_13102,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(sdtasdt0(sz00,xn),X0) != sdtpldt0(xl,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_3433,c_66]) ).
tcf(c_13103,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(xl,sdtasdt0(sz00,xn)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3433,c_67]) ).
tcf(c_13110,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3435,c_52]) ).
tcf(c_13111,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(sdtasdt0(sz00,xn),X0) != sdtpldt0(sz00,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_3435,c_66]) ).
tcf(c_13112,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtpldt0(sz00,sdtasdt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_3435,c_67]) ).
tcf(c_13114,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_11728,c_103,c_102,c_1980,c_11728]) ).
tcf(c_13116,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13114,c_7192]) ).
tcf(c_13117,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13114,c_7191]) ).
tcf(c_13118,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13114,c_7190]) ).
tcf(c_13119,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13114,c_7186]) ).
tcf(c_13120,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13114,c_1856]) ).
tcf(c_13121,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_13114,c_6323]) ).
tcf(c_13122,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_13114,c_6322]) ).
tcf(c_13123,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_13114,c_6321]) ).
tcf(c_13124,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_13114,c_6317]) ).
tcf(c_13125,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13114,c_1855]) ).
tcf(c_13126,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13114,c_5582]) ).
tcf(c_13127,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13114,c_5581]) ).
tcf(c_13128,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13114,c_5580]) ).
tcf(c_13129,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13114,c_5576]) ).
tcf(c_13130,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13114,c_1843]) ).
tcf(c_13131,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_13114,c_4644]) ).
tcf(c_13132,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_13114,c_4643]) ).
tcf(c_13133,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_13114,c_4642]) ).
tcf(c_13134,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_13114,c_4638]) ).
tcf(c_13135,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13114,c_1842]) ).
tcf(c_13136,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_13114,c_1890]) ).
tcf(c_13137,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_13114,c_1889]) ).
tcf(c_13138,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_13114,c_1888]) ).
tcf(c_13139,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_13114,c_1885]) ).
tcf(c_13140,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_13114,c_1868]) ).
tcf(c_13141,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))),sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13114,c_65]) ).
tcf(c_13142,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X1)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13114,c_64]) ).
tcf(c_13143,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_13114,c_1867]) ).
tcf(c_13144,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13114,c_59]) ).
tcf(c_13145,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13114,c_55]) ).
tcf(c_13146,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_13114,c_1866]) ).
tcf(c_13147,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0),sdtpldt0(xn,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13114,c_153]) ).
tcf(c_13148,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_13114,c_1863]) ).
tcf(c_13149,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13114,c_58]) ).
tcf(c_13150,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13114,c_54]) ).
tcf(c_13153,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_13114,c_57]) ).
tcf(c_13154,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),sz00) = sdtpldt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_13114,c_56]) ).
tcf(c_13318,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_11754,c_103,c_101,c_49,c_1927,c_11754]) ).
tcf(c_13320,plain,
aNaturalNumber0(sdtpldt0(xn,xl)),
inference(superposition,[status(thm)],[c_1824,c_13318]) ).
tcf(c_13321,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13318,c_7192]) ).
tcf(c_13322,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13318,c_7191]) ).
tcf(c_13323,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13318,c_7190]) ).
tcf(c_13324,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13318,c_7186]) ).
tcf(c_13325,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13318,c_1856]) ).
tcf(c_13326,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13318,c_6323]) ).
tcf(c_13327,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13318,c_6322]) ).
tcf(c_13328,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13318,c_6321]) ).
tcf(c_13329,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13318,c_6317]) ).
tcf(c_13330,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13318,c_1855]) ).
tcf(c_13331,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13318,c_5582]) ).
tcf(c_13332,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13318,c_5581]) ).
tcf(c_13333,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13318,c_5580]) ).
tcf(c_13334,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13318,c_5576]) ).
tcf(c_13335,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13318,c_1843]) ).
tcf(c_13336,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13318,c_4644]) ).
tcf(c_13337,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13318,c_4643]) ).
tcf(c_13338,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13318,c_4642]) ).
tcf(c_13339,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_13318,c_4638]) ).
tcf(c_13340,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13318,c_1842]) ).
tcf(c_13341,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_13318,c_1890]) ).
tcf(c_13342,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_13318,c_1889]) ).
tcf(c_13343,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_13318,c_1888]) ).
tcf(c_13344,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_13318,c_1885]) ).
tcf(c_13345,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_13318,c_1868]) ).
tcf(c_13346,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xl))),sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13318,c_65]) ).
tcf(c_13347,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),X1)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13318,c_64]) ).
tcf(c_13348,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_13318,c_1867]) ).
tcf(c_13349,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13318,c_59]) ).
tcf(c_13350,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13318,c_55]) ).
tcf(c_13351,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_13318,c_1866]) ).
tcf(c_13352,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),X0),sdtpldt0(xn,sdtpldt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13318,c_153]) ).
tcf(c_13353,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_13318,c_1863]) ).
tcf(c_13354,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13318,c_58]) ).
tcf(c_13355,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13318,c_54]) ).
tcf(c_13358,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sdtpldt0(xn,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_13318,c_57]) ).
tcf(c_13359,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(xn,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_13318,c_56]) ).
tcf(c_13478,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_11823,c_103,c_102,c_49,c_1930,c_11823]) ).
tcf(c_13480,plain,
aNaturalNumber0(sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_1825,c_13478]) ).
tcf(c_13481,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13478,c_7192]) ).
tcf(c_13482,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13478,c_7191]) ).
tcf(c_13483,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13478,c_7190]) ).
tcf(c_13484,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13478,c_7186]) ).
tcf(c_13485,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13478,c_1856]) ).
tcf(c_13486,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_13478,c_6323]) ).
tcf(c_13487,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_13478,c_6322]) ).
tcf(c_13488,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_13478,c_6321]) ).
tcf(c_13489,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_13478,c_6317]) ).
tcf(c_13490,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13478,c_1855]) ).
tcf(c_13491,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13478,c_5582]) ).
tcf(c_13492,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13478,c_5581]) ).
tcf(c_13493,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13478,c_5580]) ).
tcf(c_13494,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_13478,c_5576]) ).
tcf(c_13495,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13478,c_1843]) ).
tcf(c_13496,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_13478,c_4644]) ).
tcf(c_13497,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_13478,c_4643]) ).
tcf(c_13498,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_13478,c_4642]) ).
tcf(c_13499,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_13478,c_4638]) ).
tcf(c_13500,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13478,c_1842]) ).
tcf(c_13501,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_13478,c_1890]) ).
tcf(c_13502,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_13478,c_1889]) ).
tcf(c_13503,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_13478,c_1888]) ).
tcf(c_13504,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_13478,c_1885]) ).
tcf(c_13505,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_13478,c_1868]) ).
tcf(c_13506,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xm))),sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13478,c_65]) ).
tcf(c_13507,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),X1)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13478,c_64]) ).
tcf(c_13508,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_13478,c_1867]) ).
tcf(c_13509,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13478,c_59]) ).
tcf(c_13510,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13478,c_55]) ).
tcf(c_13511,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_13478,c_1866]) ).
tcf(c_13512,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),X0),sdtpldt0(xn,sdtpldt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13478,c_153]) ).
tcf(c_13513,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_13478,c_1863]) ).
tcf(c_13514,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13478,c_58]) ).
tcf(c_13515,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13478,c_54]) ).
tcf(c_13518,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sdtpldt0(xn,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_13478,c_57]) ).
tcf(c_13519,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(xn,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_13478,c_56]) ).
tcf(c_13628,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xn)))
| ( sdtpldt0(xm,sdtpldt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_11885,c_66]) ).
tcf(c_13629,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xn)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(sz00,xn))) != sdtpldt0(xm,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_11885,c_67]) ).
tcf(c_13632,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13320,c_7192]) ).
tcf(c_13633,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13320,c_7191]) ).
tcf(c_13634,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13320,c_7190]) ).
tcf(c_13635,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13320,c_7186]) ).
tcf(c_13636,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13320,c_1856]) ).
tcf(c_13637,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_13320,c_6323]) ).
tcf(c_13638,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_13320,c_6322]) ).
tcf(c_13639,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_13320,c_6321]) ).
tcf(c_13640,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_13320,c_6317]) ).
tcf(c_13641,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13320,c_1855]) ).
tcf(c_13642,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13320,c_5582]) ).
tcf(c_13643,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13320,c_5581]) ).
tcf(c_13644,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13320,c_5580]) ).
tcf(c_13645,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13320,c_5576]) ).
tcf(c_13646,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13320,c_1843]) ).
tcf(c_13647,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_13320,c_4644]) ).
tcf(c_13648,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_13320,c_4643]) ).
tcf(c_13649,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_13320,c_4642]) ).
tcf(c_13650,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_13320,c_4638]) ).
tcf(c_13651,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13320,c_1842]) ).
tcf(c_13652,plain,
sdtasdt0(sdtpldt0(xn,xl),xn) = sdtasdt0(xn,sdtpldt0(xn,xl)),
inference(superposition,[status(thm)],[c_13320,c_1890]) ).
tcf(c_13653,plain,
sdtasdt0(sdtpldt0(xn,xl),xm) = sdtasdt0(xm,sdtpldt0(xn,xl)),
inference(superposition,[status(thm)],[c_13320,c_1889]) ).
tcf(c_13654,plain,
sdtasdt0(sdtpldt0(xn,xl),xl) = sdtasdt0(xl,sdtpldt0(xn,xl)),
inference(superposition,[status(thm)],[c_13320,c_1888]) ).
tcf(c_13655,plain,
sdtasdt0(sdtpldt0(xn,xl),sz00) = sdtasdt0(sz00,sdtpldt0(xn,xl)),
inference(superposition,[status(thm)],[c_13320,c_1885]) ).
tcf(c_13656,plain,
sdtpldt0(sdtpldt0(xn,xl),xn) = sdtpldt0(xn,sdtpldt0(xn,xl)),
inference(superposition,[status(thm)],[c_13320,c_1868]) ).
tcf(c_13657,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xl)),sdtasdt0(X1,sdtpldt0(xn,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13320,c_65]) ).
tcf(c_13658,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xl),X0),sdtasdt0(sdtpldt0(xn,xl),X1)) = sdtasdt0(sdtpldt0(xn,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13320,c_64]) ).
tcf(c_13659,plain,
sdtpldt0(sdtpldt0(xn,xl),xm) = sdtpldt0(xm,sdtpldt0(xn,xl)),
inference(superposition,[status(thm)],[c_13320,c_1867]) ).
tcf(c_13660,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xl),X0),X1) = sdtasdt0(sdtpldt0(xn,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13320,c_59]) ).
tcf(c_13661,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xl),X0),X1) = sdtpldt0(sdtpldt0(xn,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13320,c_55]) ).
tcf(c_13662,plain,
sdtpldt0(sdtpldt0(xn,xl),xl) = sdtpldt0(xl,sdtpldt0(xn,xl)),
inference(superposition,[status(thm)],[c_13320,c_1866]) ).
tcf(c_13663,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xl),X0),sdtpldt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13320,c_153]) ).
tcf(c_13664,plain,
sdtpldt0(sdtpldt0(xn,xl),sz00) = sdtpldt0(sz00,sdtpldt0(xn,xl)),
inference(superposition,[status(thm)],[c_13320,c_1863]) ).
tcf(c_13665,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xl),X0) = sdtasdt0(X0,sdtpldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13320,c_58]) ).
tcf(c_13666,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xl),X0) = sdtpldt0(X0,sdtpldt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13320,c_54]) ).
tcf(c_13669,plain,
sdtpldt0(sz00,sdtpldt0(xn,xl)) = sdtpldt0(xn,xl),
inference(superposition,[status(thm)],[c_13320,c_57]) ).
tcf(c_13670,plain,
sdtpldt0(sdtpldt0(xn,xl),sz00) = sdtpldt0(xn,xl),
inference(superposition,[status(thm)],[c_13320,c_56]) ).
tcf(c_13817,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13480,c_7192]) ).
tcf(c_13818,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13480,c_7191]) ).
tcf(c_13819,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13480,c_7190]) ).
tcf(c_13820,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13480,c_7186]) ).
tcf(c_13821,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13480,c_1856]) ).
tcf(c_13822,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_13480,c_6323]) ).
tcf(c_13823,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_13480,c_6322]) ).
tcf(c_13824,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_13480,c_6321]) ).
tcf(c_13825,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_13480,c_6317]) ).
tcf(c_13826,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13480,c_1855]) ).
tcf(c_13827,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13480,c_5582]) ).
tcf(c_13828,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13480,c_5581]) ).
tcf(c_13829,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13480,c_5580]) ).
tcf(c_13830,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_13480,c_5576]) ).
tcf(c_13831,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13480,c_1843]) ).
tcf(c_13832,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_13480,c_4644]) ).
tcf(c_13833,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_13480,c_4643]) ).
tcf(c_13834,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_13480,c_4642]) ).
tcf(c_13835,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_13480,c_4638]) ).
tcf(c_13836,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13480,c_1842]) ).
tcf(c_13837,plain,
sdtasdt0(sdtpldt0(xn,xm),xn) = sdtasdt0(xn,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_13480,c_1890]) ).
tcf(c_13838,plain,
sdtasdt0(sdtpldt0(xn,xm),xm) = sdtasdt0(xm,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_13480,c_1889]) ).
tcf(c_13839,plain,
sdtasdt0(sdtpldt0(xn,xm),xl) = sdtasdt0(xl,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_13480,c_1888]) ).
tcf(c_13840,plain,
sdtasdt0(sdtpldt0(xn,xm),sz00) = sdtasdt0(sz00,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_13480,c_1885]) ).
tcf(c_13841,plain,
sdtpldt0(sdtpldt0(xn,xm),xn) = sdtpldt0(xn,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_13480,c_1868]) ).
tcf(c_13842,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xm)),sdtasdt0(X1,sdtpldt0(xn,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13480,c_65]) ).
tcf(c_13843,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtasdt0(sdtpldt0(xn,xm),X1)) = sdtasdt0(sdtpldt0(xn,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13480,c_64]) ).
tcf(c_13844,plain,
sdtpldt0(sdtpldt0(xn,xm),xm) = sdtpldt0(xm,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_13480,c_1867]) ).
tcf(c_13845,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xm),X0),X1) = sdtasdt0(sdtpldt0(xn,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13480,c_59]) ).
tcf(c_13846,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),X0),X1) = sdtpldt0(sdtpldt0(xn,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13480,c_55]) ).
tcf(c_13847,plain,
sdtpldt0(sdtpldt0(xn,xm),xl) = sdtpldt0(xl,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_13480,c_1866]) ).
tcf(c_13848,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xm),X0),sdtpldt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13480,c_153]) ).
tcf(c_13849,plain,
sdtpldt0(sdtpldt0(xn,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xn,xm)),
inference(superposition,[status(thm)],[c_13480,c_1863]) ).
tcf(c_13850,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xm),X0) = sdtasdt0(X0,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13480,c_58]) ).
tcf(c_13851,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xm),X0) = sdtpldt0(X0,sdtpldt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_13480,c_54]) ).
tcf(c_13854,plain,
sdtpldt0(sz00,sdtpldt0(xn,xm)) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_13480,c_57]) ).
tcf(c_13855,plain,
sdtpldt0(sdtpldt0(xn,xm),sz00) = sdtpldt0(xn,xm),
inference(superposition,[status(thm)],[c_13480,c_56]) ).
tcf(c_14014,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,xl)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13632,c_68]) ).
tcf(c_14021,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,xl)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13633,c_68]) ).
tcf(c_14028,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xl)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13634,c_68]) ).
tcf(c_14059,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,xl)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13637,c_69]) ).
tcf(c_14066,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,xl)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13638,c_69]) ).
tcf(c_14073,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xl)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13639,c_69]) ).
tcf(c_14087,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13642,c_68]) ).
tcf(c_14094,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13643,c_68]) ).
tcf(c_14102,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_13669,c_66]) ).
tcf(c_14103,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_13669,c_67]) ).
tcf(c_14126,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_13670,c_66]) ).
tcf(c_14127,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_13670,c_67]) ).
tcf(c_14134,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_13854,c_66]) ).
tcf(c_14135,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_13854,c_67]) ).
tcf(c_14143,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_13855,c_66]) ).
tcf(c_14144,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_13855,c_67]) ).
tcf(c_14150,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13644,c_68]) ).
tcf(c_14173,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13645,c_68]) ).
tcf(c_14181,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13647,c_69]) ).
tcf(c_14188,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13648,c_69]) ).
tcf(c_14195,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13649,c_69]) ).
tcf(c_14207,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_13650,c_69]) ).
tcf(c_14221,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,xm)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13817,c_68]) ).
tcf(c_14243,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,xm)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13818,c_68]) ).
tcf(c_14250,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xm)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13819,c_68]) ).
tcf(c_14266,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13822,c_69]) ).
tcf(c_14273,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13823,c_69]) ).
tcf(c_14280,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xn)))
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(sz00,xn)),X0) != sdtpldt0(xm,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_11886,c_66]) ).
tcf(c_14281,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,xn)))
| ( sdtpldt0(xm,sdtpldt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_11886,c_67]) ).
tcf(c_14299,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_12036,c_66]) ).
tcf(c_14300,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xm))) != sdtpldt0(xm,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_12036,c_67]) ).
tcf(c_14322,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xm)),X0) != sdtpldt0(xm,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_12037,c_66]) ).
tcf(c_14323,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(xm,sdtpldt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_12037,c_67]) ).
tcf(c_14324,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_12190,c_103,c_49,c_1933,c_12190]) ).
tcf(c_14326,plain,
aNaturalNumber0(sdtpldt0(xn,xn)),
inference(superposition,[status(thm)],[c_1826,c_14324]) ).
tcf(c_14327,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14324,c_7192]) ).
tcf(c_14328,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14324,c_7191]) ).
tcf(c_14329,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14324,c_7190]) ).
tcf(c_14330,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14324,c_7186]) ).
tcf(c_14331,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14324,c_1856]) ).
tcf(c_14332,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_14324,c_6323]) ).
tcf(c_14333,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_14324,c_6322]) ).
tcf(c_14334,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_14324,c_6321]) ).
tcf(c_14335,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_14324,c_6317]) ).
tcf(c_14336,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14324,c_1855]) ).
tcf(c_14337,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14324,c_5582]) ).
tcf(c_14338,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14324,c_5581]) ).
tcf(c_14339,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14324,c_5580]) ).
tcf(c_14340,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14324,c_5576]) ).
tcf(c_14341,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14324,c_1843]) ).
tcf(c_14342,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_14324,c_4644]) ).
tcf(c_14343,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_14324,c_4643]) ).
tcf(c_14344,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_14324,c_4642]) ).
tcf(c_14345,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_14324,c_4638]) ).
tcf(c_14346,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14324,c_1842]) ).
tcf(c_14347,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_14324,c_1890]) ).
tcf(c_14348,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_14324,c_1889]) ).
tcf(c_14349,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_14324,c_1888]) ).
tcf(c_14350,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_14324,c_1885]) ).
tcf(c_14351,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_14324,c_1868]) ).
tcf(c_14352,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xn))),sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14324,c_65]) ).
tcf(c_14353,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),X1)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14324,c_64]) ).
tcf(c_14354,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_14324,c_1867]) ).
tcf(c_14355,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14324,c_59]) ).
tcf(c_14356,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14324,c_55]) ).
tcf(c_14357,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_14324,c_1866]) ).
tcf(c_14358,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),X0),sdtpldt0(xn,sdtpldt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14324,c_153]) ).
tcf(c_14359,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_14324,c_1863]) ).
tcf(c_14360,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14324,c_58]) ).
tcf(c_14361,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14324,c_54]) ).
tcf(c_14364,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sdtpldt0(xn,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_14324,c_57]) ).
tcf(c_14365,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(xn,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_14324,c_56]) ).
tcf(c_14537,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14326,c_7192]) ).
tcf(c_14538,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14326,c_7191]) ).
tcf(c_14539,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14326,c_7190]) ).
tcf(c_14540,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14326,c_7186]) ).
tcf(c_14541,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14326,c_1856]) ).
tcf(c_14542,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_14326,c_6323]) ).
tcf(c_14543,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_14326,c_6322]) ).
tcf(c_14544,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_14326,c_6321]) ).
tcf(c_14545,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_14326,c_6317]) ).
tcf(c_14546,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14326,c_1855]) ).
tcf(c_14547,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14326,c_5582]) ).
tcf(c_14548,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14326,c_5581]) ).
tcf(c_14549,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14326,c_5580]) ).
tcf(c_14550,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_14326,c_5576]) ).
tcf(c_14551,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14326,c_1843]) ).
tcf(c_14552,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_14326,c_4644]) ).
tcf(c_14553,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_14326,c_4643]) ).
tcf(c_14554,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_14326,c_4642]) ).
tcf(c_14555,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_14326,c_4638]) ).
tcf(c_14556,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14326,c_1842]) ).
tcf(c_14557,plain,
sdtasdt0(sdtpldt0(xn,xn),xn) = sdtasdt0(xn,sdtpldt0(xn,xn)),
inference(superposition,[status(thm)],[c_14326,c_1890]) ).
tcf(c_14558,plain,
sdtasdt0(sdtpldt0(xn,xn),xm) = sdtasdt0(xm,sdtpldt0(xn,xn)),
inference(superposition,[status(thm)],[c_14326,c_1889]) ).
tcf(c_14559,plain,
sdtasdt0(sdtpldt0(xn,xn),xl) = sdtasdt0(xl,sdtpldt0(xn,xn)),
inference(superposition,[status(thm)],[c_14326,c_1888]) ).
tcf(c_14560,plain,
sdtasdt0(sdtpldt0(xn,xn),sz00) = sdtasdt0(sz00,sdtpldt0(xn,xn)),
inference(superposition,[status(thm)],[c_14326,c_1885]) ).
tcf(c_14561,plain,
sdtpldt0(sdtpldt0(xn,xn),xn) = sdtpldt0(xn,sdtpldt0(xn,xn)),
inference(superposition,[status(thm)],[c_14326,c_1868]) ).
tcf(c_14562,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,xn)),sdtasdt0(X1,sdtpldt0(xn,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14326,c_65]) ).
tcf(c_14563,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,xn),X0),sdtasdt0(sdtpldt0(xn,xn),X1)) = sdtasdt0(sdtpldt0(xn,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14326,c_64]) ).
tcf(c_14564,plain,
sdtpldt0(sdtpldt0(xn,xn),xm) = sdtpldt0(xm,sdtpldt0(xn,xn)),
inference(superposition,[status(thm)],[c_14326,c_1867]) ).
tcf(c_14565,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,xn),X0),X1) = sdtasdt0(sdtpldt0(xn,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14326,c_59]) ).
tcf(c_14566,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,xn),X0),X1) = sdtpldt0(sdtpldt0(xn,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14326,c_55]) ).
tcf(c_14567,plain,
sdtpldt0(sdtpldt0(xn,xn),xl) = sdtpldt0(xl,sdtpldt0(xn,xn)),
inference(superposition,[status(thm)],[c_14326,c_1866]) ).
tcf(c_14568,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,xn),X0),sdtpldt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14326,c_153]) ).
tcf(c_14569,plain,
sdtpldt0(sdtpldt0(xn,xn),sz00) = sdtpldt0(sz00,sdtpldt0(xn,xn)),
inference(superposition,[status(thm)],[c_14326,c_1863]) ).
tcf(c_14570,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,xn),X0) = sdtasdt0(X0,sdtpldt0(xn,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14326,c_58]) ).
tcf(c_14571,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,xn),X0) = sdtpldt0(X0,sdtpldt0(xn,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14326,c_54]) ).
tcf(c_14574,plain,
sdtpldt0(sz00,sdtpldt0(xn,xn)) = sdtpldt0(xn,xn),
inference(superposition,[status(thm)],[c_14326,c_57]) ).
tcf(c_14575,plain,
sdtpldt0(sdtpldt0(xn,xn),sz00) = sdtpldt0(xn,xn),
inference(superposition,[status(thm)],[c_14326,c_56]) ).
tcf(c_14731,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13824,c_69]) ).
tcf(c_14783,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13827,c_68]) ).
tcf(c_14790,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xm)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13828,c_68]) ).
tcf(c_14797,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xm)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13829,c_68]) ).
tcf(c_14805,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xm)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13830,c_68]) ).
tcf(c_14813,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13832,c_69]) ).
tcf(c_14820,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13833,c_69]) ).
tcf(c_14840,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xm)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13834,c_69]) ).
tcf(c_14848,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_13835,c_69]) ).
tcf(c_14853,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,xn)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14537,c_68]) ).
tcf(c_14860,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_14574,c_66]) ).
tcf(c_14861,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_14574,c_67]) ).
tcf(c_14868,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_14575,c_66]) ).
tcf(c_14869,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_14575,c_67]) ).
tcf(c_14870,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_12219,c_103,c_102,c_101,c_2131,c_12219]) ).
tcf(c_14872,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14870,c_7192]) ).
tcf(c_14873,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14870,c_7191]) ).
tcf(c_14874,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14870,c_7190]) ).
tcf(c_14875,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14870,c_7186]) ).
tcf(c_14876,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14870,c_1856]) ).
tcf(c_14877,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14870,c_6323]) ).
tcf(c_14878,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14870,c_6322]) ).
tcf(c_14879,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14870,c_6321]) ).
tcf(c_14880,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14870,c_6317]) ).
tcf(c_14881,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14870,c_1855]) ).
tcf(c_14882,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14870,c_5582]) ).
tcf(c_14883,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14870,c_5581]) ).
tcf(c_14884,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14870,c_5580]) ).
tcf(c_14885,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_14870,c_5576]) ).
tcf(c_14886,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14870,c_1843]) ).
tcf(c_14887,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14870,c_4644]) ).
tcf(c_14888,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14870,c_4643]) ).
tcf(c_14889,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14870,c_4642]) ).
tcf(c_14890,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_14870,c_4638]) ).
tcf(c_14891,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14870,c_1842]) ).
tcf(c_14892,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_14870,c_1890]) ).
tcf(c_14893,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_14870,c_1889]) ).
tcf(c_14894,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_14870,c_1888]) ).
tcf(c_14895,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_14870,c_1885]) ).
tcf(c_14896,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_14870,c_1868]) ).
tcf(c_14897,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))),sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14870,c_65]) ).
tcf(c_14898,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X1)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14870,c_64]) ).
tcf(c_14899,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_14870,c_1867]) ).
tcf(c_14900,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14870,c_59]) ).
tcf(c_14901,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14870,c_55]) ).
tcf(c_14902,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_14870,c_1866]) ).
tcf(c_14903,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0),sdtpldt0(xn,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14870,c_153]) ).
tcf(c_14904,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_14870,c_1863]) ).
tcf(c_14905,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14870,c_58]) ).
tcf(c_14906,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_14870,c_54]) ).
tcf(c_14909,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14870,c_57]) ).
tcf(c_14910,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),sz00) = sdtpldt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_14870,c_56]) ).
tcf(c_15036,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_12228,c_103,c_101,c_2146,c_12228]) ).
tcf(c_15038,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15036,c_7192]) ).
tcf(c_15039,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15036,c_7191]) ).
tcf(c_15040,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15036,c_7190]) ).
tcf(c_15041,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15036,c_7186]) ).
tcf(c_15042,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15036,c_1856]) ).
tcf(c_15043,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15036,c_6323]) ).
tcf(c_15044,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15036,c_6322]) ).
tcf(c_15045,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15036,c_6321]) ).
tcf(c_15046,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15036,c_6317]) ).
tcf(c_15047,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15036,c_1855]) ).
tcf(c_15048,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15036,c_5582]) ).
tcf(c_15049,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15036,c_5581]) ).
tcf(c_15050,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15036,c_5580]) ).
tcf(c_15051,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15036,c_5576]) ).
tcf(c_15052,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15036,c_1843]) ).
tcf(c_15053,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15036,c_4644]) ).
tcf(c_15054,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15036,c_4643]) ).
tcf(c_15055,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15036,c_4642]) ).
tcf(c_15056,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15036,c_4638]) ).
tcf(c_15057,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15036,c_1842]) ).
tcf(c_15058,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_15036,c_1890]) ).
tcf(c_15059,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_15036,c_1889]) ).
tcf(c_15060,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_15036,c_1888]) ).
tcf(c_15061,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_15036,c_1885]) ).
tcf(c_15062,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_15036,c_1868]) ).
tcf(c_15063,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))),sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15036,c_65]) ).
tcf(c_15064,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X1)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15036,c_64]) ).
tcf(c_15065,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_15036,c_1867]) ).
tcf(c_15066,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15036,c_59]) ).
tcf(c_15067,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15036,c_55]) ).
tcf(c_15068,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_15036,c_1866]) ).
tcf(c_15069,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0),sdtpldt0(xn,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15036,c_153]) ).
tcf(c_15070,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_15036,c_1863]) ).
tcf(c_15071,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15036,c_58]) ).
tcf(c_15072,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15036,c_54]) ).
tcf(c_15075,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_15036,c_57]) ).
tcf(c_15076,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),sz00) = sdtpldt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_15036,c_56]) ).
tcf(c_15305,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,xn)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14538,c_68]) ).
tcf(c_15311,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xn)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14539,c_68]) ).
tcf(c_15325,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,xn)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14542,c_69]) ).
tcf(c_15331,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,xn)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14543,c_69]) ).
tcf(c_15337,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xn)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14544,c_69]) ).
tcf(c_15349,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xn)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14547,c_68]) ).
tcf(c_15355,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xn)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14548,c_68]) ).
tcf(c_15361,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xn)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14549,c_68]) ).
tcf(c_15368,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xn)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14550,c_68]) ).
tcf(c_15375,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xn)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14552,c_69]) ).
tcf(c_15376,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_12237,c_103,c_102,c_49,c_1980,c_12237]) ).
tcf(c_15379,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15376,c_7192]) ).
tcf(c_15380,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15376,c_7191]) ).
tcf(c_15381,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15376,c_7190]) ).
tcf(c_15382,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15376,c_7186]) ).
tcf(c_15383,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15376,c_1856]) ).
tcf(c_15384,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15376,c_6323]) ).
tcf(c_15385,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15376,c_6322]) ).
tcf(c_15386,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15376,c_6321]) ).
tcf(c_15387,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15376,c_6317]) ).
tcf(c_15388,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15376,c_1855]) ).
tcf(c_15389,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15376,c_5582]) ).
tcf(c_15390,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15376,c_5581]) ).
tcf(c_15391,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15376,c_5580]) ).
tcf(c_15392,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15376,c_5576]) ).
tcf(c_15393,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15376,c_1843]) ).
tcf(c_15394,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15376,c_4644]) ).
tcf(c_15395,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15376,c_4643]) ).
tcf(c_15396,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15376,c_4642]) ).
tcf(c_15397,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15376,c_4638]) ).
tcf(c_15398,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15376,c_1842]) ).
tcf(c_15399,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_15376,c_1890]) ).
tcf(c_15400,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_15376,c_1889]) ).
tcf(c_15401,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_15376,c_1888]) ).
tcf(c_15402,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_15376,c_1885]) ).
tcf(c_15403,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_15376,c_1868]) ).
tcf(c_15404,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(xm,xn))),sdtasdt0(X1,sdtasdt0(sz00,sdtpldt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15376,c_65]) ).
tcf(c_15405,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),X0),sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15376,c_64]) ).
tcf(c_15406,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_15376,c_1867]) ).
tcf(c_15407,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15376,c_59]) ).
tcf(c_15408,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15376,c_55]) ).
tcf(c_15409,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_15376,c_1866]) ).
tcf(c_15411,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_15376,c_1863]) ).
tcf(c_15412,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15376,c_58]) ).
tcf(c_15413,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15376,c_54]) ).
tcf(c_15416,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sdtasdt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_15376,c_57]) ).
tcf(c_15417,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_15376,c_56]) ).
tcf(c_15513,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_12421,c_101,c_49,c_1927,c_12421]) ).
tcf(c_15517,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15513,c_7192]) ).
tcf(c_15518,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15513,c_7191]) ).
tcf(c_15519,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15513,c_7190]) ).
tcf(c_15520,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15513,c_7186]) ).
tcf(c_15521,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15513,c_1856]) ).
tcf(c_15522,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15513,c_6323]) ).
tcf(c_15523,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15513,c_6322]) ).
tcf(c_15524,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15513,c_6321]) ).
tcf(c_15525,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15513,c_6317]) ).
tcf(c_15526,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15513,c_1855]) ).
tcf(c_15527,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15513,c_5582]) ).
tcf(c_15528,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15513,c_5581]) ).
tcf(c_15529,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15513,c_5580]) ).
tcf(c_15530,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15513,c_5576]) ).
tcf(c_15531,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15513,c_1843]) ).
tcf(c_15532,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15513,c_4644]) ).
tcf(c_15533,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15513,c_4643]) ).
tcf(c_15534,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15513,c_4642]) ).
tcf(c_15535,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_15513,c_4638]) ).
tcf(c_15536,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15513,c_1842]) ).
tcf(c_15537,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_15513,c_1890]) ).
tcf(c_15538,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_15513,c_1889]) ).
tcf(c_15539,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_15513,c_1888]) ).
tcf(c_15540,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_15513,c_1885]) ).
tcf(c_15541,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_15513,c_1868]) ).
tcf(c_15542,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(sz00,xl))),sdtasdt0(X1,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15513,c_65]) ).
tcf(c_15543,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),X0),sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15513,c_64]) ).
tcf(c_15544,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_15513,c_1867]) ).
tcf(c_15545,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15513,c_59]) ).
tcf(c_15546,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15513,c_55]) ).
tcf(c_15547,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_15513,c_1866]) ).
tcf(c_15549,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_15513,c_1863]) ).
tcf(c_15550,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15513,c_58]) ).
tcf(c_15551,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15513,c_54]) ).
tcf(c_15554,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sdtasdt0(sz00,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_15513,c_57]) ).
tcf(c_15555,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_15513,c_56]) ).
tcf(c_15631,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_12430,c_102,c_49,c_1930,c_12430]) ).
tcf(c_15635,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15631,c_7192]) ).
tcf(c_15636,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15631,c_7191]) ).
tcf(c_15637,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15631,c_7190]) ).
tcf(c_15638,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15631,c_7186]) ).
tcf(c_15639,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15631,c_1856]) ).
tcf(c_15640,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15631,c_6323]) ).
tcf(c_15641,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15631,c_6322]) ).
tcf(c_15642,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15631,c_6321]) ).
tcf(c_15643,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15631,c_6317]) ).
tcf(c_15644,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15631,c_1855]) ).
tcf(c_15645,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15631,c_5582]) ).
tcf(c_15646,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15631,c_5581]) ).
tcf(c_15647,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15631,c_5580]) ).
tcf(c_15648,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15631,c_5576]) ).
tcf(c_15649,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15631,c_1843]) ).
tcf(c_15650,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15631,c_4644]) ).
tcf(c_15651,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15631,c_4643]) ).
tcf(c_15652,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15631,c_4642]) ).
tcf(c_15653,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_15631,c_4638]) ).
tcf(c_15654,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15631,c_1842]) ).
tcf(c_15655,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_15631,c_1890]) ).
tcf(c_15656,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_15631,c_1889]) ).
tcf(c_15657,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_15631,c_1888]) ).
tcf(c_15658,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_15631,c_1885]) ).
tcf(c_15659,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_15631,c_1868]) ).
tcf(c_15660,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(sz00,xm))),sdtasdt0(X1,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15631,c_65]) ).
tcf(c_15661,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),X0),sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15631,c_64]) ).
tcf(c_15662,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_15631,c_1867]) ).
tcf(c_15663,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15631,c_59]) ).
tcf(c_15664,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15631,c_55]) ).
tcf(c_15665,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_15631,c_1866]) ).
tcf(c_15667,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_15631,c_1863]) ).
tcf(c_15668,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15631,c_58]) ).
tcf(c_15669,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15631,c_54]) ).
tcf(c_15672,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sdtasdt0(sz00,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_15631,c_57]) ).
tcf(c_15673,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_15631,c_56]) ).
tcf(c_15974,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_12439,c_103,c_49,c_1933,c_12439]) ).
tcf(c_15978,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15974,c_7192]) ).
tcf(c_15979,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15974,c_7191]) ).
tcf(c_15980,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15974,c_7190]) ).
tcf(c_15981,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15974,c_7186]) ).
tcf(c_15982,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15974,c_1856]) ).
tcf(c_15983,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15974,c_6323]) ).
tcf(c_15984,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15974,c_6322]) ).
tcf(c_15985,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15974,c_6321]) ).
tcf(c_15986,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15974,c_6317]) ).
tcf(c_15987,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15974,c_1855]) ).
tcf(c_15988,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15974,c_5582]) ).
tcf(c_15989,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15974,c_5581]) ).
tcf(c_15990,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15974,c_5580]) ).
tcf(c_15991,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_15974,c_5576]) ).
tcf(c_15992,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15974,c_1843]) ).
tcf(c_15993,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15974,c_4644]) ).
tcf(c_15994,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15974,c_4643]) ).
tcf(c_15995,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15974,c_4642]) ).
tcf(c_15996,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_15974,c_4638]) ).
tcf(c_15997,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15974,c_1842]) ).
tcf(c_15998,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_15974,c_1890]) ).
tcf(c_15999,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_15974,c_1889]) ).
tcf(c_16000,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_15974,c_1888]) ).
tcf(c_16001,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_15974,c_1885]) ).
tcf(c_16002,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_15974,c_1868]) ).
tcf(c_16003,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(sz00,xn))),sdtasdt0(X1,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15974,c_65]) ).
tcf(c_16004,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),X0),sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15974,c_64]) ).
tcf(c_16005,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_15974,c_1867]) ).
tcf(c_16006,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15974,c_59]) ).
tcf(c_16007,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15974,c_55]) ).
tcf(c_16008,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_15974,c_1866]) ).
tcf(c_16010,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_15974,c_1863]) ).
tcf(c_16011,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15974,c_58]) ).
tcf(c_16012,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_15974,c_54]) ).
tcf(c_16015,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sdtasdt0(sz00,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_15974,c_57]) ).
tcf(c_16016,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_15974,c_56]) ).
tcf(c_16128,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xn)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14553,c_69]) ).
tcf(c_16134,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xn)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14554,c_69]) ).
tcf(c_16141,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_14555,c_69]) ).
tcf(c_16144,plain,
( ( sz00 = xl )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3587,c_72]) ).
tcf(c_16145,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_3587,c_53]) ).
tcf(c_16146,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(sdtpldt0(xm,xn),X0) != sdtasdt0(xl,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_3587,c_68]) ).
tcf(c_16147,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3587,c_69]) ).
tcf(c_16152,plain,
( ( sz00 = xl )
| ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(xl,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3588,c_72]) ).
tcf(c_16153,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3588,c_53]) ).
tcf(c_16154,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(sdtpldt0(sz00,xl),X0) != sdtasdt0(xl,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_3588,c_68]) ).
tcf(c_16155,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtpldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(xl,sdtpldt0(sz00,xl)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3588,c_69]) ).
tcf(c_16161,plain,
( ( sz00 = xl )
| ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(xl,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3589,c_72]) ).
tcf(c_16162,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3589,c_53]) ).
tcf(c_16163,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(sdtpldt0(sz00,xm),X0) != sdtasdt0(xl,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_3589,c_68]) ).
tcf(c_16164,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtpldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(xl,sdtpldt0(sz00,xm)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3589,c_69]) ).
tcf(c_16170,plain,
( ( sz00 = xl )
| ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(xl,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3590,c_72]) ).
tcf(c_16171,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3590,c_53]) ).
tcf(c_16172,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(sdtpldt0(sz00,xn),X0) != sdtasdt0(xl,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_3590,c_68]) ).
tcf(c_16173,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtpldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(xl,sdtpldt0(sz00,xn)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3590,c_69]) ).
tcf(c_16178,plain,
( ( sz00 = xl )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3591,c_72]) ).
tcf(c_16179,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3591,c_53]) ).
tcf(c_16180,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sdtasdt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_3591,c_68]) ).
tcf(c_16181,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3591,c_69]) ).
tcf(c_16238,plain,
( ( sz00 = xl )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3592,c_72]) ).
tcf(c_16239,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3592,c_53]) ).
tcf(c_16240,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sdtasdt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_3592,c_68]) ).
tcf(c_16241,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3592,c_69]) ).
tcf(c_16257,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_3593,c_53]) ).
tcf(c_16259,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtasdt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtasdt0(xl,sdtasdt0(sz00,xl)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3593,c_69]) ).
tcf(c_16337,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_3594,c_53]) ).
tcf(c_16339,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtasdt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtasdt0(xl,sdtasdt0(sz00,xm)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3594,c_69]) ).
tcf(c_16344,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_3595,c_53]) ).
tcf(c_16346,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtasdt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtasdt0(xl,sdtasdt0(sz00,xn)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3595,c_69]) ).
tcf(c_16347,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_12447,c_102,c_101,c_49,c_2131,c_12447]) ).
tcf(c_16350,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16347,c_7192]) ).
tcf(c_16351,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16347,c_7191]) ).
tcf(c_16352,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16347,c_7190]) ).
tcf(c_16353,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16347,c_7186]) ).
tcf(c_16354,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16347,c_1856]) ).
tcf(c_16355,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16347,c_6323]) ).
tcf(c_16356,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16347,c_6322]) ).
tcf(c_16357,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16347,c_6321]) ).
tcf(c_16358,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16347,c_6317]) ).
tcf(c_16359,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16347,c_1855]) ).
tcf(c_16360,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16347,c_5582]) ).
tcf(c_16361,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16347,c_5581]) ).
tcf(c_16362,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16347,c_5580]) ).
tcf(c_16363,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16347,c_5576]) ).
tcf(c_16364,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16347,c_1843]) ).
tcf(c_16365,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16347,c_4644]) ).
tcf(c_16366,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16347,c_4643]) ).
tcf(c_16367,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16347,c_4642]) ).
tcf(c_16368,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_16347,c_4638]) ).
tcf(c_16369,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16347,c_1842]) ).
tcf(c_16370,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_16347,c_1890]) ).
tcf(c_16371,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_16347,c_1889]) ).
tcf(c_16372,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_16347,c_1888]) ).
tcf(c_16373,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_16347,c_1885]) ).
tcf(c_16374,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_16347,c_1868]) ).
tcf(c_16375,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(xl,xm))),sdtasdt0(X1,sdtasdt0(sz00,sdtpldt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16347,c_65]) ).
tcf(c_16376,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),X0),sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16347,c_64]) ).
tcf(c_16377,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_16347,c_1867]) ).
tcf(c_16378,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16347,c_59]) ).
tcf(c_16379,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16347,c_55]) ).
tcf(c_16380,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_16347,c_1866]) ).
tcf(c_16382,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_16347,c_1863]) ).
tcf(c_16383,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16347,c_58]) ).
tcf(c_16384,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16347,c_54]) ).
tcf(c_16387,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sdtasdt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_16347,c_57]) ).
tcf(c_16388,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_16347,c_56]) ).
tcf(c_16478,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_12455,c_103,c_101,c_49,c_2146,c_12455]) ).
tcf(c_16481,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16478,c_7192]) ).
tcf(c_16482,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16478,c_7191]) ).
tcf(c_16483,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16478,c_7190]) ).
tcf(c_16484,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16478,c_7186]) ).
tcf(c_16485,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16478,c_1856]) ).
tcf(c_16486,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_16478,c_6323]) ).
tcf(c_16487,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_16478,c_6322]) ).
tcf(c_16488,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_16478,c_6321]) ).
tcf(c_16489,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_16478,c_6317]) ).
tcf(c_16490,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16478,c_1855]) ).
tcf(c_16491,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16478,c_5582]) ).
tcf(c_16492,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16478,c_5581]) ).
tcf(c_16493,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16478,c_5580]) ).
tcf(c_16494,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16478,c_5576]) ).
tcf(c_16495,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16478,c_1843]) ).
tcf(c_16496,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_16478,c_4644]) ).
tcf(c_16497,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_16478,c_4643]) ).
tcf(c_16498,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_16478,c_4642]) ).
tcf(c_16499,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_16478,c_4638]) ).
tcf(c_16500,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16478,c_1842]) ).
tcf(c_16501,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_16478,c_1890]) ).
tcf(c_16502,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_16478,c_1889]) ).
tcf(c_16503,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_16478,c_1888]) ).
tcf(c_16504,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_16478,c_1885]) ).
tcf(c_16505,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_16478,c_1868]) ).
tcf(c_16506,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(xl,xn))),sdtasdt0(X1,sdtasdt0(sz00,sdtpldt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16478,c_65]) ).
tcf(c_16507,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),X0),sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16478,c_64]) ).
tcf(c_16508,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_16478,c_1867]) ).
tcf(c_16509,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16478,c_59]) ).
tcf(c_16510,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16478,c_55]) ).
tcf(c_16511,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_16478,c_1866]) ).
tcf(c_16513,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_16478,c_1863]) ).
tcf(c_16514,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16478,c_58]) ).
tcf(c_16515,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16478,c_54]) ).
tcf(c_16518,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sdtasdt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_16478,c_57]) ).
tcf(c_16519,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_16478,c_56]) ).
tcf(c_16606,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_12463,c_101,c_49,c_3063,c_12463]) ).
tcf(c_16609,plain,
aNaturalNumber0(sdtasdt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_1832,c_16606]) ).
tcf(c_16610,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16606,c_7192]) ).
tcf(c_16611,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16606,c_7191]) ).
tcf(c_16612,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16606,c_7190]) ).
tcf(c_16613,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16606,c_7186]) ).
tcf(c_16614,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16606,c_1856]) ).
tcf(c_16615,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16606,c_6323]) ).
tcf(c_16616,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16606,c_6322]) ).
tcf(c_16617,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16606,c_6321]) ).
tcf(c_16618,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16606,c_6317]) ).
tcf(c_16619,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16606,c_1855]) ).
tcf(c_16620,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16606,c_5582]) ).
tcf(c_16621,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16606,c_5581]) ).
tcf(c_16622,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16606,c_5580]) ).
tcf(c_16623,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16606,c_5576]) ).
tcf(c_16624,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16606,c_1843]) ).
tcf(c_16625,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16606,c_4644]) ).
tcf(c_16626,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16606,c_4643]) ).
tcf(c_16627,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16606,c_4642]) ).
tcf(c_16628,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16606,c_4638]) ).
tcf(c_16629,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16606,c_1842]) ).
tcf(c_16630,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16606,c_1890]) ).
tcf(c_16631,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16606,c_1889]) ).
tcf(c_16632,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16606,c_1888]) ).
tcf(c_16633,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16606,c_1885]) ).
tcf(c_16634,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16606,c_1868]) ).
tcf(c_16635,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtasdt0(sz00,xl))),sdtasdt0(X1,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16606,c_65]) ).
tcf(c_16636,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),X0),sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16606,c_64]) ).
tcf(c_16637,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16606,c_1867]) ).
tcf(c_16638,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16606,c_59]) ).
tcf(c_16639,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16606,c_55]) ).
tcf(c_16640,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16606,c_1866]) ).
tcf(c_16642,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16606,c_1863]) ).
tcf(c_16643,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16606,c_58]) ).
tcf(c_16644,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16606,c_54]) ).
tcf(c_16647,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sdtasdt0(sz00,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_16606,c_57]) ).
tcf(c_16648,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_16606,c_56]) ).
tcf(c_16717,plain,
aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_12472,c_103,c_101,c_49,c_3063,c_12472]) ).
tcf(c_16719,plain,
aNaturalNumber0(sdtpldt0(xn,sz00)),
inference(superposition,[status(thm)],[c_1832,c_16717]) ).
tcf(c_16720,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16717,c_7192]) ).
tcf(c_16721,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16717,c_7191]) ).
tcf(c_16722,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16717,c_7190]) ).
tcf(c_16723,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16717,c_7186]) ).
tcf(c_16724,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16717,c_1856]) ).
tcf(c_16725,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16717,c_6323]) ).
tcf(c_16726,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16717,c_6322]) ).
tcf(c_16727,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16717,c_6321]) ).
tcf(c_16728,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16717,c_6317]) ).
tcf(c_16729,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16717,c_1855]) ).
tcf(c_16730,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16717,c_5582]) ).
tcf(c_16731,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16717,c_5581]) ).
tcf(c_16732,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16717,c_5580]) ).
tcf(c_16733,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_16717,c_5576]) ).
tcf(c_16734,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16717,c_1843]) ).
tcf(c_16735,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16717,c_4644]) ).
tcf(c_16736,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16717,c_4643]) ).
tcf(c_16737,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16717,c_4642]) ).
tcf(c_16738,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_16717,c_4638]) ).
tcf(c_16739,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16717,c_1842]) ).
tcf(c_16740,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16717,c_1890]) ).
tcf(c_16741,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16717,c_1889]) ).
tcf(c_16742,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16717,c_1888]) ).
tcf(c_16743,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16717,c_1885]) ).
tcf(c_16744,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16717,c_1868]) ).
tcf(c_16745,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xl))),sdtasdt0(X1,sdtpldt0(xn,sdtasdt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16717,c_65]) ).
tcf(c_16746,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),X0),sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),X1)) = sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16717,c_64]) ).
tcf(c_16747,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16717,c_1867]) ).
tcf(c_16748,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16717,c_59]) ).
tcf(c_16749,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16717,c_55]) ).
tcf(c_16750,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16717,c_1866]) ).
tcf(c_16751,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),X0),sdtpldt0(xn,sdtasdt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16717,c_153]) ).
tcf(c_16752,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_16717,c_1863]) ).
tcf(c_16753,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16717,c_58]) ).
tcf(c_16754,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16717,c_54]) ).
tcf(c_16757,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sdtpldt0(xn,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_16717,c_57]) ).
tcf(c_16758,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(xn,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_16717,c_56]) ).
tcf(c_16971,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16609,c_7192]) ).
tcf(c_16972,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16609,c_7191]) ).
tcf(c_16973,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16609,c_7190]) ).
tcf(c_16974,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16609,c_7186]) ).
tcf(c_16975,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16609,c_1856]) ).
tcf(c_16976,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16609,c_6323]) ).
tcf(c_16977,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16609,c_6322]) ).
tcf(c_16978,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16609,c_6321]) ).
tcf(c_16979,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16609,c_6317]) ).
tcf(c_16980,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16609,c_1855]) ).
tcf(c_16981,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16609,c_5582]) ).
tcf(c_16982,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16609,c_5581]) ).
tcf(c_16983,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16609,c_5580]) ).
tcf(c_16984,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16609,c_5576]) ).
tcf(c_16985,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16609,c_1843]) ).
tcf(c_16986,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16609,c_4644]) ).
tcf(c_16987,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16609,c_4643]) ).
tcf(c_16988,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16609,c_4642]) ).
tcf(c_16989,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16609,c_4638]) ).
tcf(c_16990,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16609,c_1842]) ).
tcf(c_16991,plain,
sdtasdt0(sdtasdt0(sz00,sz00),xn) = sdtasdt0(xn,sdtasdt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_16609,c_1890]) ).
tcf(c_16992,plain,
sdtasdt0(sdtasdt0(sz00,sz00),xm) = sdtasdt0(xm,sdtasdt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_16609,c_1889]) ).
tcf(c_16993,plain,
sdtasdt0(sdtasdt0(sz00,sz00),xl) = sdtasdt0(xl,sdtasdt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_16609,c_1888]) ).
tcf(c_16994,plain,
sdtasdt0(sdtasdt0(sz00,sz00),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_16609,c_1885]) ).
tcf(c_16995,plain,
sdtpldt0(sdtasdt0(sz00,sz00),xn) = sdtpldt0(xn,sdtasdt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_16609,c_1868]) ).
tcf(c_16996,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sz00)),sdtasdt0(X1,sdtasdt0(sz00,sz00))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16609,c_65]) ).
tcf(c_16997,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sz00),X0),sdtasdt0(sdtasdt0(sz00,sz00),X1)) = sdtasdt0(sdtasdt0(sz00,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16609,c_64]) ).
tcf(c_16998,plain,
sdtpldt0(sdtasdt0(sz00,sz00),xm) = sdtpldt0(xm,sdtasdt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_16609,c_1867]) ).
tcf(c_16999,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sz00),X0),X1) = sdtasdt0(sdtasdt0(sz00,sz00),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16609,c_59]) ).
tcf(c_17000,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sz00),X0),X1) = sdtpldt0(sdtasdt0(sz00,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16609,c_55]) ).
tcf(c_17001,plain,
sdtpldt0(sdtasdt0(sz00,sz00),xl) = sdtpldt0(xl,sdtasdt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_16609,c_1866]) ).
tcf(c_17003,plain,
sdtpldt0(sdtasdt0(sz00,sz00),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_16609,c_1863]) ).
tcf(c_17004,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sz00),X0) = sdtasdt0(X0,sdtasdt0(sz00,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16609,c_58]) ).
tcf(c_17005,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sz00),X0) = sdtpldt0(X0,sdtasdt0(sz00,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16609,c_54]) ).
tcf(c_17008,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sz00)) = sdtasdt0(sz00,sz00),
inference(superposition,[status(thm)],[c_16609,c_57]) ).
tcf(c_17009,plain,
sdtpldt0(sdtasdt0(sz00,sz00),sz00) = sdtasdt0(sz00,sz00),
inference(superposition,[status(thm)],[c_16609,c_56]) ).
tcf(c_17110,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16719,c_7192]) ).
tcf(c_17111,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16719,c_7191]) ).
tcf(c_17112,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16719,c_7190]) ).
tcf(c_17113,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16719,c_7186]) ).
tcf(c_17114,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16719,c_1856]) ).
tcf(c_17115,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16719,c_6323]) ).
tcf(c_17116,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16719,c_6322]) ).
tcf(c_17117,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16719,c_6321]) ).
tcf(c_17118,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16719,c_6317]) ).
tcf(c_17119,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16719,c_1855]) ).
tcf(c_17120,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16719,c_5582]) ).
tcf(c_17121,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16719,c_5581]) ).
tcf(c_17122,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16719,c_5580]) ).
tcf(c_17123,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_16719,c_5576]) ).
tcf(c_17124,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16719,c_1843]) ).
tcf(c_17125,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16719,c_4644]) ).
tcf(c_17126,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16719,c_4643]) ).
tcf(c_17127,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16719,c_4642]) ).
tcf(c_17128,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_16719,c_4638]) ).
tcf(c_17129,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16719,c_1842]) ).
tcf(c_17130,plain,
sdtasdt0(sdtpldt0(xn,sz00),xn) = sdtasdt0(xn,sdtpldt0(xn,sz00)),
inference(superposition,[status(thm)],[c_16719,c_1890]) ).
tcf(c_17131,plain,
sdtasdt0(sdtpldt0(xn,sz00),xm) = sdtasdt0(xm,sdtpldt0(xn,sz00)),
inference(superposition,[status(thm)],[c_16719,c_1889]) ).
tcf(c_17132,plain,
sdtasdt0(sdtpldt0(xn,sz00),xl) = sdtasdt0(xl,sdtpldt0(xn,sz00)),
inference(superposition,[status(thm)],[c_16719,c_1888]) ).
tcf(c_17133,plain,
sdtasdt0(sdtpldt0(xn,sz00),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sz00)),
inference(superposition,[status(thm)],[c_16719,c_1885]) ).
tcf(c_17134,plain,
sdtpldt0(sdtpldt0(xn,sz00),xn) = sdtpldt0(xn,sdtpldt0(xn,sz00)),
inference(superposition,[status(thm)],[c_16719,c_1868]) ).
tcf(c_17135,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sz00)),sdtasdt0(X1,sdtpldt0(xn,sz00))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16719,c_65]) ).
tcf(c_17136,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sz00),X0),sdtasdt0(sdtpldt0(xn,sz00),X1)) = sdtasdt0(sdtpldt0(xn,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16719,c_64]) ).
tcf(c_17137,plain,
sdtpldt0(sdtpldt0(xn,sz00),xm) = sdtpldt0(xm,sdtpldt0(xn,sz00)),
inference(superposition,[status(thm)],[c_16719,c_1867]) ).
tcf(c_17138,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sz00),X0),X1) = sdtasdt0(sdtpldt0(xn,sz00),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16719,c_59]) ).
tcf(c_17139,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sz00),X0),X1) = sdtpldt0(sdtpldt0(xn,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16719,c_55]) ).
tcf(c_17140,plain,
sdtpldt0(sdtpldt0(xn,sz00),xl) = sdtpldt0(xl,sdtpldt0(xn,sz00)),
inference(superposition,[status(thm)],[c_16719,c_1866]) ).
tcf(c_17141,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sz00) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sz00),X0),sdtpldt0(xn,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16719,c_153]) ).
tcf(c_17142,plain,
sdtpldt0(sdtpldt0(xn,sz00),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sz00)),
inference(superposition,[status(thm)],[c_16719,c_1863]) ).
tcf(c_17143,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sz00),X0) = sdtasdt0(X0,sdtpldt0(xn,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16719,c_58]) ).
tcf(c_17144,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sz00),X0) = sdtpldt0(X0,sdtpldt0(xn,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_16719,c_54]) ).
tcf(c_17147,plain,
sdtpldt0(sz00,sdtpldt0(xn,sz00)) = sdtpldt0(xn,sz00),
inference(superposition,[status(thm)],[c_16719,c_57]) ).
tcf(c_17148,plain,
sdtpldt0(sdtpldt0(xn,sz00),sz00) = sdtpldt0(xn,sz00),
inference(superposition,[status(thm)],[c_16719,c_56]) ).
tcf(c_17352,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16971,c_68]) ).
tcf(c_17359,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16972,c_68]) ).
tcf(c_17366,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16973,c_68]) ).
tcf(c_17381,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16976,c_69]) ).
tcf(c_17388,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16977,c_69]) ).
tcf(c_17395,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16978,c_69]) ).
tcf(c_17408,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16981,c_68]) ).
tcf(c_17415,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16982,c_68]) ).
tcf(c_17423,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_17008,c_66]) ).
tcf(c_17424,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_17008,c_67]) ).
tcf(c_17431,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_17009,c_66]) ).
tcf(c_17432,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_17009,c_67]) ).
tcf(c_17440,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_17147,c_66]) ).
tcf(c_17441,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_17147,c_67]) ).
tcf(c_17449,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_17148,c_66]) ).
tcf(c_17450,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_17148,c_67]) ).
tcf(c_17456,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16983,c_68]) ).
tcf(c_17550,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16984,c_68]) ).
tcf(c_17558,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16986,c_69]) ).
tcf(c_17565,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16987,c_69]) ).
tcf(c_17572,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16988,c_69]) ).
tcf(c_17580,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_16989,c_69]) ).
tcf(c_17587,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sz00)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17110,c_68]) ).
tcf(c_17595,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sz00)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17111,c_68]) ).
tcf(c_17603,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sz00)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17112,c_68]) ).
tcf(c_17621,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17115,c_69]) ).
tcf(c_17629,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17116,c_69]) ).
tcf(c_17630,plain,
aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_12481,c_102,c_101,c_49,c_3063,c_12481]) ).
tcf(c_17632,plain,
aNaturalNumber0(sdtpldt0(xm,sz00)),
inference(superposition,[status(thm)],[c_1832,c_17630]) ).
tcf(c_17633,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17630,c_7192]) ).
tcf(c_17634,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17630,c_7191]) ).
tcf(c_17635,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17630,c_7190]) ).
tcf(c_17636,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17630,c_7186]) ).
tcf(c_17637,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17630,c_1856]) ).
tcf(c_17638,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17630,c_6323]) ).
tcf(c_17639,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17630,c_6322]) ).
tcf(c_17640,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17630,c_6321]) ).
tcf(c_17641,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17630,c_6317]) ).
tcf(c_17642,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17630,c_1855]) ).
tcf(c_17643,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17630,c_5582]) ).
tcf(c_17644,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17630,c_5581]) ).
tcf(c_17645,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17630,c_5580]) ).
tcf(c_17646,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_17630,c_5576]) ).
tcf(c_17647,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17630,c_1843]) ).
tcf(c_17648,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17630,c_4644]) ).
tcf(c_17649,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17630,c_4643]) ).
tcf(c_17650,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17630,c_4642]) ).
tcf(c_17651,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_17630,c_4638]) ).
tcf(c_17652,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17630,c_1842]) ).
tcf(c_17653,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_17630,c_1890]) ).
tcf(c_17654,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_17630,c_1889]) ).
tcf(c_17655,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_17630,c_1888]) ).
tcf(c_17656,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_17630,c_1885]) ).
tcf(c_17657,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_17630,c_1868]) ).
tcf(c_17658,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xl))),sdtasdt0(X1,sdtpldt0(xm,sdtasdt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17630,c_65]) ).
tcf(c_17659,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17630,c_64]) ).
tcf(c_17660,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_17630,c_1867]) ).
tcf(c_17661,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17630,c_59]) ).
tcf(c_17662,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17630,c_55]) ).
tcf(c_17663,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_17630,c_1866]) ).
tcf(c_17664,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),X0),sdtpldt0(xm,sdtasdt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17630,c_153]) ).
tcf(c_17665,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_17630,c_1863]) ).
tcf(c_17666,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17630,c_58]) ).
tcf(c_17667,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17630,c_54]) ).
tcf(c_17670,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xl))) = sdtpldt0(xm,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_17630,c_57]) ).
tcf(c_17671,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(xm,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_17630,c_56]) ).
tcf(c_17825,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_12524,c_66]) ).
tcf(c_17826,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xn))) != sdtpldt0(xm,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_12524,c_67]) ).
tcf(c_17833,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xn)),X0) != sdtpldt0(xm,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_12525,c_66]) ).
tcf(c_17834,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xn)))
| ( sdtpldt0(xm,sdtpldt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_12525,c_67]) ).
tcf(c_17919,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_12574,c_66]) ).
tcf(c_17920,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xm,xn))) != sdtpldt0(xm,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_12574,c_67]) ).
tcf(c_17924,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17632,c_7192]) ).
tcf(c_17925,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17632,c_7191]) ).
tcf(c_17926,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17632,c_7190]) ).
tcf(c_17927,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17632,c_7186]) ).
tcf(c_17928,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17632,c_1856]) ).
tcf(c_17929,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_17632,c_6323]) ).
tcf(c_17930,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_17632,c_6322]) ).
tcf(c_17931,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_17632,c_6321]) ).
tcf(c_17932,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_17632,c_6317]) ).
tcf(c_17933,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17632,c_1855]) ).
tcf(c_17934,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17632,c_5582]) ).
tcf(c_17935,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17632,c_5581]) ).
tcf(c_17936,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17632,c_5580]) ).
tcf(c_17937,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_17632,c_5576]) ).
tcf(c_17938,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17632,c_1843]) ).
tcf(c_17939,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_17632,c_4644]) ).
tcf(c_17940,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_17632,c_4643]) ).
tcf(c_17941,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_17632,c_4642]) ).
tcf(c_17942,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_17632,c_4638]) ).
tcf(c_17943,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17632,c_1842]) ).
tcf(c_17944,plain,
sdtasdt0(sdtpldt0(xm,sz00),xn) = sdtasdt0(xn,sdtpldt0(xm,sz00)),
inference(superposition,[status(thm)],[c_17632,c_1890]) ).
tcf(c_17945,plain,
sdtasdt0(sdtpldt0(xm,sz00),xm) = sdtasdt0(xm,sdtpldt0(xm,sz00)),
inference(superposition,[status(thm)],[c_17632,c_1889]) ).
tcf(c_17946,plain,
sdtasdt0(sdtpldt0(xm,sz00),xl) = sdtasdt0(xl,sdtpldt0(xm,sz00)),
inference(superposition,[status(thm)],[c_17632,c_1888]) ).
tcf(c_17947,plain,
sdtasdt0(sdtpldt0(xm,sz00),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sz00)),
inference(superposition,[status(thm)],[c_17632,c_1885]) ).
tcf(c_17948,plain,
sdtpldt0(sdtpldt0(xm,sz00),xn) = sdtpldt0(xn,sdtpldt0(xm,sz00)),
inference(superposition,[status(thm)],[c_17632,c_1868]) ).
tcf(c_17949,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sz00)),sdtasdt0(X1,sdtpldt0(xm,sz00))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17632,c_65]) ).
tcf(c_17950,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sz00),X0),sdtasdt0(sdtpldt0(xm,sz00),X1)) = sdtasdt0(sdtpldt0(xm,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17632,c_64]) ).
tcf(c_17951,plain,
sdtpldt0(sdtpldt0(xm,sz00),xm) = sdtpldt0(xm,sdtpldt0(xm,sz00)),
inference(superposition,[status(thm)],[c_17632,c_1867]) ).
tcf(c_17952,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sz00),X0),X1) = sdtasdt0(sdtpldt0(xm,sz00),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17632,c_59]) ).
tcf(c_17953,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sz00),X0),X1) = sdtpldt0(sdtpldt0(xm,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17632,c_55]) ).
tcf(c_17954,plain,
sdtpldt0(sdtpldt0(xm,sz00),xl) = sdtpldt0(xl,sdtpldt0(xm,sz00)),
inference(superposition,[status(thm)],[c_17632,c_1866]) ).
tcf(c_17955,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sz00) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sz00),X0),sdtpldt0(xm,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17632,c_153]) ).
tcf(c_17956,plain,
sdtpldt0(sdtpldt0(xm,sz00),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sz00)),
inference(superposition,[status(thm)],[c_17632,c_1863]) ).
tcf(c_17957,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sz00),X0) = sdtasdt0(X0,sdtpldt0(xm,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17632,c_58]) ).
tcf(c_17958,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sz00),X0) = sdtpldt0(X0,sdtpldt0(xm,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_17632,c_54]) ).
tcf(c_17961,plain,
sdtpldt0(sz00,sdtpldt0(xm,sz00)) = sdtpldt0(xm,sz00),
inference(superposition,[status(thm)],[c_17632,c_57]) ).
tcf(c_17962,plain,
sdtpldt0(sdtpldt0(xm,sz00),sz00) = sdtpldt0(xm,sz00),
inference(superposition,[status(thm)],[c_17632,c_56]) ).
tcf(c_17979,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17117,c_69]) ).
tcf(c_17995,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sz00)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17120,c_68]) ).
tcf(c_18003,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sz00)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17121,c_68]) ).
tcf(c_18011,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sz00)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17122,c_68]) ).
tcf(c_18020,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sz00)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17123,c_68]) ).
tcf(c_18031,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17125,c_69]) ).
tcf(c_18066,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17126,c_69]) ).
tcf(c_18074,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17127,c_69]) ).
tcf(c_18083,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_17128,c_69]) ).
tcf(c_18090,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sz00)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17924,c_68]) ).
tcf(c_18099,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_17961,c_66]) ).
tcf(c_18100,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_17961,c_67]) ).
tcf(c_18108,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_17962,c_66]) ).
tcf(c_18109,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_17962,c_67]) ).
tcf(c_18115,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xn)),X0) != sdtpldt0(xm,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_12575,c_66]) ).
tcf(c_18116,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(xm,sdtpldt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_12575,c_67]) ).
tcf(c_18122,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn)))
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_12669,c_66]) ).
tcf(c_18123,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xm,xn))) != sdtpldt0(xl,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_12669,c_67]) ).
tcf(c_18203,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sz00)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17925,c_68]) ).
tcf(c_18211,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sz00)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17926,c_68]) ).
tcf(c_18243,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17929,c_69]) ).
tcf(c_18251,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17930,c_69]) ).
tcf(c_18307,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17931,c_69]) ).
tcf(c_18323,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sz00)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17934,c_68]) ).
tcf(c_18331,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sz00)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17935,c_68]) ).
tcf(c_18339,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sz00)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17936,c_68]) ).
tcf(c_18370,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sz00)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_17937,c_68]) ).
tcf(c_18379,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17939,c_69]) ).
tcf(c_18406,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn)))
| ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xn)),X0) != sdtpldt0(xl,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_12670,c_66]) ).
tcf(c_18407,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xn)))
| ( sdtpldt0(xl,sdtpldt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_12670,c_67]) ).
tcf(c_18413,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xn)))
| ( sdtpldt0(sz00,sdtpldt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_12790,c_66]) ).
tcf(c_18414,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(xm,xn))) != sdtpldt0(sz00,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_12790,c_67]) ).
tcf(c_18447,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xn)))
| ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xn)),X0) != sdtpldt0(sz00,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_12791,c_66]) ).
tcf(c_18448,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xn)))
| ( sdtpldt0(sz00,sdtpldt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_12791,c_67]) ).
tcf(c_18449,plain,
aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_12931,c_101,c_49,c_3063,c_12931]) ).
tcf(c_18451,plain,
aNaturalNumber0(sdtpldt0(xl,sz00)),
inference(superposition,[status(thm)],[c_1832,c_18449]) ).
tcf(c_18452,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18449,c_7192]) ).
tcf(c_18453,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18449,c_7191]) ).
tcf(c_18454,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18449,c_7190]) ).
tcf(c_18455,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18449,c_7186]) ).
tcf(c_18456,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18449,c_1856]) ).
tcf(c_18457,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18449,c_6323]) ).
tcf(c_18458,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18449,c_6322]) ).
tcf(c_18459,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18449,c_6321]) ).
tcf(c_18460,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18449,c_6317]) ).
tcf(c_18461,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18449,c_1855]) ).
tcf(c_18462,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18449,c_5582]) ).
tcf(c_18463,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18449,c_5581]) ).
tcf(c_18464,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18449,c_5580]) ).
tcf(c_18465,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18449,c_5576]) ).
tcf(c_18466,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18449,c_1843]) ).
tcf(c_18467,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18449,c_4644]) ).
tcf(c_18468,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18449,c_4643]) ).
tcf(c_18469,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18449,c_4642]) ).
tcf(c_18470,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18449,c_4638]) ).
tcf(c_18471,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18449,c_1842]) ).
tcf(c_18472,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18449,c_1890]) ).
tcf(c_18473,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18449,c_1889]) ).
tcf(c_18474,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18449,c_1888]) ).
tcf(c_18475,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18449,c_1885]) ).
tcf(c_18476,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18449,c_1868]) ).
tcf(c_18477,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xl))),sdtasdt0(X1,sdtpldt0(xl,sdtasdt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18449,c_65]) ).
tcf(c_18478,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),X0),sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),X1)) = sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18449,c_64]) ).
tcf(c_18479,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18449,c_1867]) ).
tcf(c_18480,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18449,c_59]) ).
tcf(c_18481,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18449,c_55]) ).
tcf(c_18482,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18449,c_1866]) ).
tcf(c_18483,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),X0),sdtpldt0(xl,sdtasdt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18449,c_153]) ).
tcf(c_18484,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18449,c_1863]) ).
tcf(c_18485,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18449,c_58]) ).
tcf(c_18486,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18449,c_54]) ).
tcf(c_18489,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xl))) = sdtpldt0(xl,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_18449,c_57]) ).
tcf(c_18490,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(xl,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_18449,c_56]) ).
tcf(c_18690,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18451,c_7192]) ).
tcf(c_18691,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18451,c_7191]) ).
tcf(c_18692,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18451,c_7190]) ).
tcf(c_18693,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18451,c_7186]) ).
tcf(c_18694,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18451,c_1856]) ).
tcf(c_18695,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18451,c_6323]) ).
tcf(c_18696,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18451,c_6322]) ).
tcf(c_18697,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18451,c_6321]) ).
tcf(c_18698,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18451,c_6317]) ).
tcf(c_18699,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18451,c_1855]) ).
tcf(c_18700,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18451,c_5582]) ).
tcf(c_18701,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18451,c_5581]) ).
tcf(c_18702,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18451,c_5580]) ).
tcf(c_18703,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18451,c_5576]) ).
tcf(c_18704,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18451,c_1843]) ).
tcf(c_18705,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18451,c_4644]) ).
tcf(c_18706,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18451,c_4643]) ).
tcf(c_18707,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18451,c_4642]) ).
tcf(c_18708,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18451,c_4638]) ).
tcf(c_18709,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18451,c_1842]) ).
tcf(c_18710,plain,
sdtasdt0(sdtpldt0(xl,sz00),xn) = sdtasdt0(xn,sdtpldt0(xl,sz00)),
inference(superposition,[status(thm)],[c_18451,c_1890]) ).
tcf(c_18711,plain,
sdtasdt0(sdtpldt0(xl,sz00),xm) = sdtasdt0(xm,sdtpldt0(xl,sz00)),
inference(superposition,[status(thm)],[c_18451,c_1889]) ).
tcf(c_18712,plain,
sdtasdt0(sdtpldt0(xl,sz00),xl) = sdtasdt0(xl,sdtpldt0(xl,sz00)),
inference(superposition,[status(thm)],[c_18451,c_1888]) ).
tcf(c_18713,plain,
sdtasdt0(sdtpldt0(xl,sz00),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sz00)),
inference(superposition,[status(thm)],[c_18451,c_1885]) ).
tcf(c_18714,plain,
sdtpldt0(sdtpldt0(xl,sz00),xn) = sdtpldt0(xn,sdtpldt0(xl,sz00)),
inference(superposition,[status(thm)],[c_18451,c_1868]) ).
tcf(c_18715,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sz00)),sdtasdt0(X1,sdtpldt0(xl,sz00))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18451,c_65]) ).
tcf(c_18716,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sz00),X0),sdtasdt0(sdtpldt0(xl,sz00),X1)) = sdtasdt0(sdtpldt0(xl,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18451,c_64]) ).
tcf(c_18717,plain,
sdtpldt0(sdtpldt0(xl,sz00),xm) = sdtpldt0(xm,sdtpldt0(xl,sz00)),
inference(superposition,[status(thm)],[c_18451,c_1867]) ).
tcf(c_18718,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sz00),X0),X1) = sdtasdt0(sdtpldt0(xl,sz00),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18451,c_59]) ).
tcf(c_18719,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sz00),X0),X1) = sdtpldt0(sdtpldt0(xl,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18451,c_55]) ).
tcf(c_18720,plain,
sdtpldt0(sdtpldt0(xl,sz00),xl) = sdtpldt0(xl,sdtpldt0(xl,sz00)),
inference(superposition,[status(thm)],[c_18451,c_1866]) ).
tcf(c_18721,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sz00) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sz00),X0),sdtpldt0(xl,sz00)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18451,c_153]) ).
tcf(c_18722,plain,
sdtpldt0(sdtpldt0(xl,sz00),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sz00)),
inference(superposition,[status(thm)],[c_18451,c_1863]) ).
tcf(c_18723,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sz00),X0) = sdtasdt0(X0,sdtpldt0(xl,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18451,c_58]) ).
tcf(c_18724,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sz00),X0) = sdtpldt0(X0,sdtpldt0(xl,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18451,c_54]) ).
tcf(c_18727,plain,
sdtpldt0(sz00,sdtpldt0(xl,sz00)) = sdtpldt0(xl,sz00),
inference(superposition,[status(thm)],[c_18451,c_57]) ).
tcf(c_18728,plain,
sdtpldt0(sdtpldt0(xl,sz00),sz00) = sdtpldt0(xl,sz00),
inference(superposition,[status(thm)],[c_18451,c_56]) ).
tcf(c_18829,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17940,c_69]) ).
tcf(c_18837,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_17941,c_69]) ).
tcf(c_18846,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_17942,c_69]) ).
tcf(c_18853,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sz00)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18690,c_68]) ).
tcf(c_18861,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sz00)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18691,c_68]) ).
tcf(c_18869,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sz00)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18692,c_68]) ).
tcf(c_18887,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18695,c_69]) ).
tcf(c_18895,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18696,c_69]) ).
tcf(c_18903,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18697,c_69]) ).
tcf(c_18920,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_18727,c_66]) ).
tcf(c_18921,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_18727,c_67]) ).
tcf(c_18929,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_18728,c_66]) ).
tcf(c_18930,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_18728,c_67]) ).
tcf(c_18931,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_13022,c_101,c_49,c_3063,c_13022]) ).
tcf(c_18934,plain,
aNaturalNumber0(sdtpldt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_1832,c_18931]) ).
tcf(c_18935,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18931,c_7192]) ).
tcf(c_18936,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18931,c_7191]) ).
tcf(c_18937,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18931,c_7190]) ).
tcf(c_18938,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18931,c_7186]) ).
tcf(c_18939,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18931,c_1856]) ).
tcf(c_18940,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18931,c_6323]) ).
tcf(c_18941,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18931,c_6322]) ).
tcf(c_18942,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18931,c_6321]) ).
tcf(c_18943,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18931,c_6317]) ).
tcf(c_18944,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18931,c_1855]) ).
tcf(c_18945,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18931,c_5582]) ).
tcf(c_18946,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18931,c_5581]) ).
tcf(c_18947,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18931,c_5580]) ).
tcf(c_18948,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_18931,c_5576]) ).
tcf(c_18949,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18931,c_1843]) ).
tcf(c_18950,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18931,c_4644]) ).
tcf(c_18951,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18931,c_4643]) ).
tcf(c_18952,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18931,c_4642]) ).
tcf(c_18953,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_18931,c_4638]) ).
tcf(c_18954,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18931,c_1842]) ).
tcf(c_18955,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18931,c_1890]) ).
tcf(c_18956,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18931,c_1889]) ).
tcf(c_18957,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18931,c_1888]) ).
tcf(c_18958,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18931,c_1885]) ).
tcf(c_18959,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18931,c_1868]) ).
tcf(c_18960,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xl))),sdtasdt0(X1,sdtpldt0(sz00,sdtasdt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18931,c_65]) ).
tcf(c_18961,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),X0),sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18931,c_64]) ).
tcf(c_18962,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18931,c_1867]) ).
tcf(c_18963,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18931,c_59]) ).
tcf(c_18964,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18931,c_55]) ).
tcf(c_18965,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18931,c_1866]) ).
tcf(c_18966,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),X0),sdtpldt0(sz00,sdtasdt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18931,c_153]) ).
tcf(c_18967,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_18931,c_1863]) ).
tcf(c_18968,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18931,c_58]) ).
tcf(c_18969,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18931,c_54]) ).
tcf(c_18972,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xl))) = sdtpldt0(sz00,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_18931,c_57]) ).
tcf(c_18973,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_18931,c_56]) ).
tcf(c_19066,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_13030,c_102,c_49,c_3078,c_13030]) ).
tcf(c_19070,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19066,c_7192]) ).
tcf(c_19071,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19066,c_7191]) ).
tcf(c_19072,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19066,c_7190]) ).
tcf(c_19073,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19066,c_7186]) ).
tcf(c_19074,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19066,c_1856]) ).
tcf(c_19075,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19066,c_6323]) ).
tcf(c_19076,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19066,c_6322]) ).
tcf(c_19077,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19066,c_6321]) ).
tcf(c_19078,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19066,c_6317]) ).
tcf(c_19079,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19066,c_1855]) ).
tcf(c_19080,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19066,c_5582]) ).
tcf(c_19081,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19066,c_5581]) ).
tcf(c_19082,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19066,c_5580]) ).
tcf(c_19083,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19066,c_5576]) ).
tcf(c_19084,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19066,c_1843]) ).
tcf(c_19085,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19066,c_4644]) ).
tcf(c_19086,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19066,c_4643]) ).
tcf(c_19087,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19066,c_4642]) ).
tcf(c_19088,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19066,c_4638]) ).
tcf(c_19089,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19066,c_1842]) ).
tcf(c_19090,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19066,c_1890]) ).
tcf(c_19091,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19066,c_1889]) ).
tcf(c_19092,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19066,c_1888]) ).
tcf(c_19093,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19066,c_1885]) ).
tcf(c_19094,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19066,c_1868]) ).
tcf(c_19095,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtasdt0(sz00,xm))),sdtasdt0(X1,sdtasdt0(sz00,sdtasdt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19066,c_65]) ).
tcf(c_19096,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),X0),sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19066,c_64]) ).
tcf(c_19097,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19066,c_1867]) ).
tcf(c_19098,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19066,c_59]) ).
tcf(c_19099,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19066,c_55]) ).
tcf(c_19100,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19066,c_1866]) ).
tcf(c_19102,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19066,c_1863]) ).
tcf(c_19103,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19066,c_58]) ).
tcf(c_19104,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19066,c_54]) ).
tcf(c_19107,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xm))) = sdtasdt0(sz00,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_19066,c_57]) ).
tcf(c_19108,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_19066,c_56]) ).
tcf(c_19404,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18934,c_7192]) ).
tcf(c_19405,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18934,c_7191]) ).
tcf(c_19406,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18934,c_7190]) ).
tcf(c_19407,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18934,c_7186]) ).
tcf(c_19408,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18934,c_1856]) ).
tcf(c_19409,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18934,c_6323]) ).
tcf(c_19410,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18934,c_6322]) ).
tcf(c_19411,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18934,c_6321]) ).
tcf(c_19412,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18934,c_6317]) ).
tcf(c_19413,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18934,c_1855]) ).
tcf(c_19414,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18934,c_5582]) ).
tcf(c_19415,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18934,c_5581]) ).
tcf(c_19416,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18934,c_5580]) ).
tcf(c_19417,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_18934,c_5576]) ).
tcf(c_19418,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18934,c_1843]) ).
tcf(c_19419,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18934,c_4644]) ).
tcf(c_19420,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18934,c_4643]) ).
tcf(c_19421,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18934,c_4642]) ).
tcf(c_19422,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sz00))) = sz00,
inference(superposition,[status(thm)],[c_18934,c_4638]) ).
tcf(c_19423,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18934,c_1842]) ).
tcf(c_19424,plain,
sdtasdt0(sdtpldt0(sz00,sz00),xn) = sdtasdt0(xn,sdtpldt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_18934,c_1890]) ).
tcf(c_19425,plain,
sdtasdt0(sdtpldt0(sz00,sz00),xm) = sdtasdt0(xm,sdtpldt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_18934,c_1889]) ).
tcf(c_19426,plain,
sdtasdt0(sdtpldt0(sz00,sz00),xl) = sdtasdt0(xl,sdtpldt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_18934,c_1888]) ).
tcf(c_19427,plain,
sdtasdt0(sdtpldt0(sz00,sz00),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_18934,c_1885]) ).
tcf(c_19428,plain,
sdtpldt0(sdtpldt0(sz00,sz00),xn) = sdtpldt0(xn,sdtpldt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_18934,c_1868]) ).
tcf(c_19429,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sz00)),sdtasdt0(X1,sdtpldt0(sz00,sz00))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18934,c_65]) ).
tcf(c_19430,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sz00),X0),sdtasdt0(sdtpldt0(sz00,sz00),X1)) = sdtasdt0(sdtpldt0(sz00,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18934,c_64]) ).
tcf(c_19431,plain,
sdtpldt0(sdtpldt0(sz00,sz00),xm) = sdtpldt0(xm,sdtpldt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_18934,c_1867]) ).
tcf(c_19432,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sz00),X0),X1) = sdtasdt0(sdtpldt0(sz00,sz00),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18934,c_59]) ).
tcf(c_19433,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sz00),X0),X1) = sdtpldt0(sdtpldt0(sz00,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18934,c_55]) ).
tcf(c_19434,plain,
sdtpldt0(sdtpldt0(sz00,sz00),xl) = sdtpldt0(xl,sdtpldt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_18934,c_1866]) ).
tcf(c_19436,plain,
sdtpldt0(sdtpldt0(sz00,sz00),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_18934,c_1863]) ).
tcf(c_19437,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sz00),X0) = sdtasdt0(X0,sdtpldt0(sz00,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18934,c_58]) ).
tcf(c_19438,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sz00),X0) = sdtpldt0(X0,sdtpldt0(sz00,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_18934,c_54]) ).
tcf(c_19441,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sz00)) = sdtpldt0(sz00,sz00),
inference(superposition,[status(thm)],[c_18934,c_57]) ).
tcf(c_19442,plain,
sdtpldt0(sdtpldt0(sz00,sz00),sz00) = sdtpldt0(sz00,sz00),
inference(superposition,[status(thm)],[c_18934,c_56]) ).
tcf(c_19449,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sz00)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18700,c_68]) ).
tcf(c_19457,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sz00)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18701,c_68]) ).
tcf(c_19465,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sz00)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18702,c_68]) ).
tcf(c_19474,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sz00)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_18703,c_68]) ).
tcf(c_19483,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18705,c_69]) ).
tcf(c_19491,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18706,c_69]) ).
tcf(c_19499,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_18707,c_69]) ).
tcf(c_19508,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_18708,c_69]) ).
tcf(c_19514,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19404,c_68]) ).
tcf(c_19521,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19405,c_68]) ).
tcf(c_19528,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19406,c_68]) ).
tcf(c_19535,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_19441,c_66]) ).
tcf(c_19536,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_19441,c_67]) ).
tcf(c_19542,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_19442,c_66]) ).
tcf(c_19543,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_19442,c_67]) ).
tcf(c_19544,plain,
aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_13039,c_103,c_102,c_49,c_3078,c_13039]) ).
tcf(c_19547,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19544,c_7192]) ).
tcf(c_19548,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19544,c_7191]) ).
tcf(c_19549,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19544,c_7190]) ).
tcf(c_19550,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19544,c_7186]) ).
tcf(c_19551,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19544,c_1856]) ).
tcf(c_19552,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19544,c_6323]) ).
tcf(c_19553,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19544,c_6322]) ).
tcf(c_19554,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19544,c_6321]) ).
tcf(c_19555,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19544,c_6317]) ).
tcf(c_19556,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19544,c_1855]) ).
tcf(c_19557,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19544,c_5582]) ).
tcf(c_19558,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19544,c_5581]) ).
tcf(c_19559,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19544,c_5580]) ).
tcf(c_19560,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19544,c_5576]) ).
tcf(c_19561,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19544,c_1843]) ).
tcf(c_19562,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19544,c_4644]) ).
tcf(c_19563,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19544,c_4643]) ).
tcf(c_19564,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19544,c_4642]) ).
tcf(c_19565,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19544,c_4638]) ).
tcf(c_19566,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19544,c_1842]) ).
tcf(c_19567,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19544,c_1890]) ).
tcf(c_19568,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19544,c_1889]) ).
tcf(c_19569,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19544,c_1888]) ).
tcf(c_19570,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19544,c_1885]) ).
tcf(c_19571,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19544,c_1868]) ).
tcf(c_19572,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xm))),sdtasdt0(X1,sdtpldt0(xn,sdtasdt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19544,c_65]) ).
tcf(c_19573,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),X0),sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),X1)) = sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19544,c_64]) ).
tcf(c_19574,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19544,c_1867]) ).
tcf(c_19575,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19544,c_59]) ).
tcf(c_19576,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19544,c_55]) ).
tcf(c_19577,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19544,c_1866]) ).
tcf(c_19578,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),X0),sdtpldt0(xn,sdtasdt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19544,c_153]) ).
tcf(c_19579,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19544,c_1863]) ).
tcf(c_19580,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19544,c_58]) ).
tcf(c_19581,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19544,c_54]) ).
tcf(c_19584,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xm))) = sdtpldt0(xn,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_19544,c_57]) ).
tcf(c_19585,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(xn,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_19544,c_56]) ).
tcf(c_19678,plain,
aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_13048,c_102,c_49,c_3078,c_13048]) ).
tcf(c_19681,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19678,c_7192]) ).
tcf(c_19682,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19678,c_7191]) ).
tcf(c_19683,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19678,c_7190]) ).
tcf(c_19684,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19678,c_7186]) ).
tcf(c_19685,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19678,c_1856]) ).
tcf(c_19686,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19678,c_6323]) ).
tcf(c_19687,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19678,c_6322]) ).
tcf(c_19688,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19678,c_6321]) ).
tcf(c_19689,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19678,c_6317]) ).
tcf(c_19690,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19678,c_1855]) ).
tcf(c_19691,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19678,c_5582]) ).
tcf(c_19692,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19678,c_5581]) ).
tcf(c_19693,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19678,c_5580]) ).
tcf(c_19694,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19678,c_5576]) ).
tcf(c_19695,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19678,c_1843]) ).
tcf(c_19696,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19678,c_4644]) ).
tcf(c_19697,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19678,c_4643]) ).
tcf(c_19698,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19678,c_4642]) ).
tcf(c_19699,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19678,c_4638]) ).
tcf(c_19700,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19678,c_1842]) ).
tcf(c_19701,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19678,c_1890]) ).
tcf(c_19702,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19678,c_1889]) ).
tcf(c_19703,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19678,c_1888]) ).
tcf(c_19704,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19678,c_1885]) ).
tcf(c_19705,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19678,c_1868]) ).
tcf(c_19706,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xm))),sdtasdt0(X1,sdtpldt0(xm,sdtasdt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19678,c_65]) ).
tcf(c_19707,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19678,c_64]) ).
tcf(c_19708,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19678,c_1867]) ).
tcf(c_19709,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19678,c_59]) ).
tcf(c_19710,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19678,c_55]) ).
tcf(c_19711,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19678,c_1866]) ).
tcf(c_19712,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),X0),sdtpldt0(xm,sdtasdt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19678,c_153]) ).
tcf(c_19713,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19678,c_1863]) ).
tcf(c_19714,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19678,c_58]) ).
tcf(c_19715,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19678,c_54]) ).
tcf(c_19718,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xm))) = sdtpldt0(xm,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_19678,c_57]) ).
tcf(c_19719,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(xm,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_19678,c_56]) ).
tcf(c_19743,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19409,c_69]) ).
tcf(c_19750,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19410,c_69]) ).
tcf(c_19757,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19411,c_69]) ).
tcf(c_19771,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19414,c_68]) ).
tcf(c_19778,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19415,c_68]) ).
tcf(c_19785,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19416,c_68]) ).
tcf(c_19793,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_19417,c_68]) ).
tcf(c_19801,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19419,c_69]) ).
tcf(c_19808,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19420,c_69]) ).
tcf(c_19815,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_19421,c_69]) ).
tcf(c_19816,plain,
aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_13057,c_102,c_101,c_49,c_3078,c_13057]) ).
tcf(c_19819,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19816,c_7192]) ).
tcf(c_19820,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19816,c_7191]) ).
tcf(c_19821,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19816,c_7190]) ).
tcf(c_19822,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19816,c_7186]) ).
tcf(c_19823,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19816,c_1856]) ).
tcf(c_19824,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19816,c_6323]) ).
tcf(c_19825,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19816,c_6322]) ).
tcf(c_19826,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19816,c_6321]) ).
tcf(c_19827,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19816,c_6317]) ).
tcf(c_19828,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19816,c_1855]) ).
tcf(c_19829,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19816,c_5582]) ).
tcf(c_19830,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19816,c_5581]) ).
tcf(c_19831,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19816,c_5580]) ).
tcf(c_19832,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_19816,c_5576]) ).
tcf(c_19833,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19816,c_1843]) ).
tcf(c_19834,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19816,c_4644]) ).
tcf(c_19835,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19816,c_4643]) ).
tcf(c_19836,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19816,c_4642]) ).
tcf(c_19837,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_19816,c_4638]) ).
tcf(c_19838,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19816,c_1842]) ).
tcf(c_19839,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19816,c_1890]) ).
tcf(c_19840,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19816,c_1889]) ).
tcf(c_19841,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19816,c_1888]) ).
tcf(c_19842,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19816,c_1885]) ).
tcf(c_19843,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19816,c_1868]) ).
tcf(c_19844,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xm))),sdtasdt0(X1,sdtpldt0(xl,sdtasdt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19816,c_65]) ).
tcf(c_19845,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),X0),sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),X1)) = sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19816,c_64]) ).
tcf(c_19846,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19816,c_1867]) ).
tcf(c_19847,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19816,c_59]) ).
tcf(c_19848,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19816,c_55]) ).
tcf(c_19849,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19816,c_1866]) ).
tcf(c_19850,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),X0),sdtpldt0(xl,sdtasdt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19816,c_153]) ).
tcf(c_19851,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_19816,c_1863]) ).
tcf(c_19852,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19816,c_58]) ).
tcf(c_19853,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_19816,c_54]) ).
tcf(c_19856,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xm))) = sdtpldt0(xl,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_19816,c_57]) ).
tcf(c_19857,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(xl,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_19816,c_56]) ).
tcf(c_20153,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_13066,c_102,c_49,c_3078,c_13066]) ).
tcf(c_20157,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20153,c_7192]) ).
tcf(c_20158,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20153,c_7191]) ).
tcf(c_20159,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20153,c_7190]) ).
tcf(c_20160,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20153,c_7186]) ).
tcf(c_20161,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20153,c_1856]) ).
tcf(c_20162,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20153,c_6323]) ).
tcf(c_20163,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20153,c_6322]) ).
tcf(c_20164,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20153,c_6321]) ).
tcf(c_20165,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20153,c_6317]) ).
tcf(c_20166,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20153,c_1855]) ).
tcf(c_20167,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20153,c_5582]) ).
tcf(c_20168,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20153,c_5581]) ).
tcf(c_20169,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20153,c_5580]) ).
tcf(c_20170,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20153,c_5576]) ).
tcf(c_20171,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20153,c_1843]) ).
tcf(c_20172,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20153,c_4644]) ).
tcf(c_20173,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20153,c_4643]) ).
tcf(c_20174,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20153,c_4642]) ).
tcf(c_20175,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_20153,c_4638]) ).
tcf(c_20176,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20153,c_1842]) ).
tcf(c_20177,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_20153,c_1890]) ).
tcf(c_20178,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_20153,c_1889]) ).
tcf(c_20179,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_20153,c_1888]) ).
tcf(c_20180,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_20153,c_1885]) ).
tcf(c_20181,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_20153,c_1868]) ).
tcf(c_20182,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xm))),sdtasdt0(X1,sdtpldt0(sz00,sdtasdt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20153,c_65]) ).
tcf(c_20183,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),X0),sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20153,c_64]) ).
tcf(c_20184,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_20153,c_1867]) ).
tcf(c_20185,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20153,c_59]) ).
tcf(c_20186,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20153,c_55]) ).
tcf(c_20187,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_20153,c_1866]) ).
tcf(c_20188,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),X0),sdtpldt0(sz00,sdtasdt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20153,c_153]) ).
tcf(c_20189,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_20153,c_1863]) ).
tcf(c_20190,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20153,c_58]) ).
tcf(c_20191,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20153,c_54]) ).
tcf(c_20194,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xm))) = sdtpldt0(sz00,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_20153,c_57]) ).
tcf(c_20195,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_20153,c_56]) ).
tcf(c_20205,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_13074,c_103,c_49,c_3099,c_13074]) ).
tcf(c_20209,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20205,c_7192]) ).
tcf(c_20210,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20205,c_7191]) ).
tcf(c_20211,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20205,c_7190]) ).
tcf(c_20212,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20205,c_7186]) ).
tcf(c_20213,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20205,c_1856]) ).
tcf(c_20214,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20205,c_6323]) ).
tcf(c_20215,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20205,c_6322]) ).
tcf(c_20216,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20205,c_6321]) ).
tcf(c_20217,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20205,c_6317]) ).
tcf(c_20218,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20205,c_1855]) ).
tcf(c_20219,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20205,c_5582]) ).
tcf(c_20220,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20205,c_5581]) ).
tcf(c_20221,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20205,c_5580]) ).
tcf(c_20222,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20205,c_5576]) ).
tcf(c_20223,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20205,c_1843]) ).
tcf(c_20224,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20205,c_4644]) ).
tcf(c_20225,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20205,c_4643]) ).
tcf(c_20226,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20205,c_4642]) ).
tcf(c_20227,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20205,c_4638]) ).
tcf(c_20228,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20205,c_1842]) ).
tcf(c_20229,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20205,c_1890]) ).
tcf(c_20230,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20205,c_1889]) ).
tcf(c_20231,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20205,c_1888]) ).
tcf(c_20232,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20205,c_1885]) ).
tcf(c_20233,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20205,c_1868]) ).
tcf(c_20234,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtasdt0(sz00,xn))),sdtasdt0(X1,sdtasdt0(sz00,sdtasdt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20205,c_65]) ).
tcf(c_20235,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),X0),sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20205,c_64]) ).
tcf(c_20236,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20205,c_1867]) ).
tcf(c_20237,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20205,c_59]) ).
tcf(c_20238,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20205,c_55]) ).
tcf(c_20239,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20205,c_1866]) ).
tcf(c_20241,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20205,c_1863]) ).
tcf(c_20242,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20205,c_58]) ).
tcf(c_20243,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20205,c_54]) ).
tcf(c_20246,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xn))) = sdtasdt0(sz00,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20205,c_57]) ).
tcf(c_20247,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20205,c_56]) ).
tcf(c_20256,plain,
aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_13083,c_103,c_49,c_3099,c_13083]) ).
tcf(c_20259,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20256,c_7192]) ).
tcf(c_20260,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20256,c_7191]) ).
tcf(c_20261,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20256,c_7190]) ).
tcf(c_20262,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20256,c_7186]) ).
tcf(c_20263,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20256,c_1856]) ).
tcf(c_20264,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20256,c_6323]) ).
tcf(c_20265,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20256,c_6322]) ).
tcf(c_20266,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20256,c_6321]) ).
tcf(c_20267,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20256,c_6317]) ).
tcf(c_20268,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20256,c_1855]) ).
tcf(c_20269,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20256,c_5582]) ).
tcf(c_20270,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20256,c_5581]) ).
tcf(c_20271,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20256,c_5580]) ).
tcf(c_20272,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20256,c_5576]) ).
tcf(c_20273,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20256,c_1843]) ).
tcf(c_20274,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20256,c_4644]) ).
tcf(c_20275,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20256,c_4643]) ).
tcf(c_20276,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20256,c_4642]) ).
tcf(c_20277,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20256,c_4638]) ).
tcf(c_20278,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20256,c_1842]) ).
tcf(c_20279,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20256,c_1890]) ).
tcf(c_20280,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20256,c_1889]) ).
tcf(c_20281,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20256,c_1888]) ).
tcf(c_20282,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20256,c_1885]) ).
tcf(c_20283,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20256,c_1868]) ).
tcf(c_20284,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xn))),sdtasdt0(X1,sdtpldt0(xn,sdtasdt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20256,c_65]) ).
tcf(c_20285,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),X0),sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),X1)) = sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20256,c_64]) ).
tcf(c_20286,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20256,c_1867]) ).
tcf(c_20287,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20256,c_59]) ).
tcf(c_20288,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20256,c_55]) ).
tcf(c_20289,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20256,c_1866]) ).
tcf(c_20290,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),X0),sdtpldt0(xn,sdtasdt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20256,c_153]) ).
tcf(c_20291,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20256,c_1863]) ).
tcf(c_20292,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20256,c_58]) ).
tcf(c_20293,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20256,c_54]) ).
tcf(c_20296,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xn))) = sdtpldt0(xn,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20256,c_57]) ).
tcf(c_20297,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(xn,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20256,c_56]) ).
tcf(c_20314,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_19422,c_69]) ).
tcf(c_20317,plain,
( ( sz00 = xl )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3692,c_72]) ).
tcf(c_20318,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3692,c_53]) ).
tcf(c_20319,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),X0) != sdtasdt0(xl,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_3692,c_68]) ).
tcf(c_20320,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3692,c_69]) ).
tcf(c_20387,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3693,c_53]) ).
tcf(c_20388,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),X0) != sdtasdt0(sz00,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_3693,c_68]) ).
tcf(c_20393,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3694,c_71]) ).
tcf(c_20394,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3694,c_70]) ).
tcf(c_20395,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3694,c_52]) ).
tcf(c_20396,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtpldt0(xn,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_3694,c_66]) ).
tcf(c_20397,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_3694,c_67]) ).
tcf(c_20402,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3697,c_71]) ).
tcf(c_20403,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3697,c_70]) ).
tcf(c_20404,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3697,c_52]) ).
tcf(c_20405,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtpldt0(xm,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_3697,c_66]) ).
tcf(c_20406,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_3697,c_67]) ).
tcf(c_20411,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3700,c_71]) ).
tcf(c_20412,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3700,c_70]) ).
tcf(c_20413,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3700,c_52]) ).
tcf(c_20414,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtpldt0(xl,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_3700,c_66]) ).
tcf(c_20415,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3700,c_67]) ).
tcf(c_20422,plain,
( ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sz00,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3702,c_70]) ).
tcf(c_20423,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_3702,c_52]) ).
tcf(c_20424,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sdtasdt0(xl,xm),X0) != sdtpldt0(sz00,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_3702,c_66]) ).
tcf(c_20425,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtpldt0(sz00,sdtasdt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_3702,c_67]) ).
tcf(c_20430,plain,
( ( sz00 = xl )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(xl,sdtasdt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3829,c_72]) ).
tcf(c_20431,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3829,c_53]) ).
tcf(c_20432,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(sdtasdt0(xl,xn),X0) != sdtasdt0(xl,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_3829,c_68]) ).
tcf(c_20433,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(xl,sdtasdt0(xl,xn)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3829,c_69]) ).
tcf(c_20440,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xl,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3830,c_53]) ).
tcf(c_20441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(sdtasdt0(xl,xn),X0) != sdtasdt0(sz00,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_3830,c_68]) ).
tcf(c_20446,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(xn,sdtasdt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3831,c_71]) ).
tcf(c_20447,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(xn,sdtasdt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3831,c_70]) ).
tcf(c_20448,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3831,c_52]) ).
tcf(c_20449,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),X0) != sdtpldt0(xn,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_3831,c_66]) ).
tcf(c_20450,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(xn,sdtasdt0(xl,xn)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_3831,c_67]) ).
tcf(c_20455,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(xm,sdtasdt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3834,c_71]) ).
tcf(c_20456,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(xm,sdtasdt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3834,c_70]) ).
tcf(c_20457,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3834,c_52]) ).
tcf(c_20458,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),X0) != sdtpldt0(xm,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_3834,c_66]) ).
tcf(c_20459,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(xm,sdtasdt0(xl,xn)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_3834,c_67]) ).
tcf(c_20464,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(xl,sdtasdt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3837,c_71]) ).
tcf(c_20465,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(xl,sdtasdt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3837,c_70]) ).
tcf(c_20466,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3837,c_52]) ).
tcf(c_20467,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),X0) != sdtpldt0(xl,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_3837,c_66]) ).
tcf(c_20468,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(xl,sdtasdt0(xl,xn)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_3837,c_67]) ).
tcf(c_20471,plain,
aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_13092,c_103,c_102,c_49,c_3099,c_13092]) ).
tcf(c_20474,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20471,c_7192]) ).
tcf(c_20475,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20471,c_7191]) ).
tcf(c_20476,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20471,c_7190]) ).
tcf(c_20477,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20471,c_7186]) ).
tcf(c_20478,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20471,c_1856]) ).
tcf(c_20479,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20471,c_6323]) ).
tcf(c_20480,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20471,c_6322]) ).
tcf(c_20481,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20471,c_6321]) ).
tcf(c_20482,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20471,c_6317]) ).
tcf(c_20483,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20471,c_1855]) ).
tcf(c_20484,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20471,c_5582]) ).
tcf(c_20485,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20471,c_5581]) ).
tcf(c_20486,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20471,c_5580]) ).
tcf(c_20487,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20471,c_5576]) ).
tcf(c_20488,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20471,c_1843]) ).
tcf(c_20489,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20471,c_4644]) ).
tcf(c_20490,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20471,c_4643]) ).
tcf(c_20491,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20471,c_4642]) ).
tcf(c_20492,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20471,c_4638]) ).
tcf(c_20493,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20471,c_1842]) ).
tcf(c_20494,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20471,c_1890]) ).
tcf(c_20495,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20471,c_1889]) ).
tcf(c_20496,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20471,c_1888]) ).
tcf(c_20497,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20471,c_1885]) ).
tcf(c_20498,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20471,c_1868]) ).
tcf(c_20499,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xn))),sdtasdt0(X1,sdtpldt0(xm,sdtasdt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20471,c_65]) ).
tcf(c_20500,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20471,c_64]) ).
tcf(c_20501,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20471,c_1867]) ).
tcf(c_20502,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20471,c_59]) ).
tcf(c_20503,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20471,c_55]) ).
tcf(c_20504,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20471,c_1866]) ).
tcf(c_20505,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),X0),sdtpldt0(xm,sdtasdt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20471,c_153]) ).
tcf(c_20506,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20471,c_1863]) ).
tcf(c_20507,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20471,c_58]) ).
tcf(c_20508,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20471,c_54]) ).
tcf(c_20511,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,xn))) = sdtpldt0(xm,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20471,c_57]) ).
tcf(c_20512,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(xm,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20471,c_56]) ).
tcf(c_20636,plain,
aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_13101,c_103,c_101,c_49,c_3099,c_13101]) ).
tcf(c_20639,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20636,c_7192]) ).
tcf(c_20640,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20636,c_7191]) ).
tcf(c_20641,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20636,c_7190]) ).
tcf(c_20642,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20636,c_7186]) ).
tcf(c_20643,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20636,c_1856]) ).
tcf(c_20644,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20636,c_6323]) ).
tcf(c_20645,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20636,c_6322]) ).
tcf(c_20646,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20636,c_6321]) ).
tcf(c_20647,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20636,c_6317]) ).
tcf(c_20648,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20636,c_1855]) ).
tcf(c_20649,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20636,c_5582]) ).
tcf(c_20650,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20636,c_5581]) ).
tcf(c_20651,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20636,c_5580]) ).
tcf(c_20652,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20636,c_5576]) ).
tcf(c_20653,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20636,c_1843]) ).
tcf(c_20654,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20636,c_4644]) ).
tcf(c_20655,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20636,c_4643]) ).
tcf(c_20656,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20636,c_4642]) ).
tcf(c_20657,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20636,c_4638]) ).
tcf(c_20658,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20636,c_1842]) ).
tcf(c_20659,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20636,c_1890]) ).
tcf(c_20660,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20636,c_1889]) ).
tcf(c_20661,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20636,c_1888]) ).
tcf(c_20662,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20636,c_1885]) ).
tcf(c_20663,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20636,c_1868]) ).
tcf(c_20664,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xn))),sdtasdt0(X1,sdtpldt0(xl,sdtasdt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20636,c_65]) ).
tcf(c_20665,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),X0),sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),X1)) = sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20636,c_64]) ).
tcf(c_20666,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20636,c_1867]) ).
tcf(c_20667,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20636,c_59]) ).
tcf(c_20668,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20636,c_55]) ).
tcf(c_20669,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20636,c_1866]) ).
tcf(c_20670,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),X0),sdtpldt0(xl,sdtasdt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20636,c_153]) ).
tcf(c_20671,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20636,c_1863]) ).
tcf(c_20672,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20636,c_58]) ).
tcf(c_20673,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20636,c_54]) ).
tcf(c_20676,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,xn))) = sdtpldt0(xl,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20636,c_57]) ).
tcf(c_20677,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(xl,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20636,c_56]) ).
tcf(c_20753,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_13110,c_103,c_49,c_3099,c_13110]) ).
tcf(c_20757,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20753,c_7192]) ).
tcf(c_20758,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20753,c_7191]) ).
tcf(c_20759,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20753,c_7190]) ).
tcf(c_20760,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20753,c_7186]) ).
tcf(c_20761,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20753,c_1856]) ).
tcf(c_20762,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20753,c_6323]) ).
tcf(c_20763,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20753,c_6322]) ).
tcf(c_20764,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20753,c_6321]) ).
tcf(c_20765,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20753,c_6317]) ).
tcf(c_20766,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20753,c_1855]) ).
tcf(c_20767,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20753,c_5582]) ).
tcf(c_20768,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20753,c_5581]) ).
tcf(c_20769,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20753,c_5580]) ).
tcf(c_20770,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_20753,c_5576]) ).
tcf(c_20771,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20753,c_1843]) ).
tcf(c_20772,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20753,c_4644]) ).
tcf(c_20773,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20753,c_4643]) ).
tcf(c_20774,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20753,c_4642]) ).
tcf(c_20775,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_20753,c_4638]) ).
tcf(c_20776,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20753,c_1842]) ).
tcf(c_20777,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20753,c_1890]) ).
tcf(c_20778,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20753,c_1889]) ).
tcf(c_20779,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20753,c_1888]) ).
tcf(c_20780,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20753,c_1885]) ).
tcf(c_20781,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20753,c_1868]) ).
tcf(c_20782,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xn))),sdtasdt0(X1,sdtpldt0(sz00,sdtasdt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20753,c_65]) ).
tcf(c_20783,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),X0),sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20753,c_64]) ).
tcf(c_20784,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20753,c_1867]) ).
tcf(c_20785,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20753,c_59]) ).
tcf(c_20786,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20753,c_55]) ).
tcf(c_20787,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20753,c_1866]) ).
tcf(c_20788,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),X0),sdtpldt0(sz00,sdtasdt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20753,c_153]) ).
tcf(c_20789,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_20753,c_1863]) ).
tcf(c_20790,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20753,c_58]) ).
tcf(c_20791,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_20753,c_54]) ).
tcf(c_20794,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,xn))) = sdtpldt0(sz00,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20753,c_57]) ).
tcf(c_20795,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_20753,c_56]) ).
tcf(c_20937,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_13153,c_66]) ).
tcf(c_20938,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xm,xn))) != sdtpldt0(xn,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_13153,c_67]) ).
tcf(c_20944,plain,
( ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sz00,sdtasdt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_3839,c_70]) ).
tcf(c_20945,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_3839,c_52]) ).
tcf(c_20946,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sdtasdt0(xl,xn),X0) != sdtpldt0(sz00,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_3839,c_66]) ).
tcf(c_20947,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtpldt0(sz00,sdtasdt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_3839,c_67]) ).
tcf(c_20952,plain,
( ( sz00 = xm )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(xm,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4013,c_72]) ).
tcf(c_20953,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_4013,c_53]) ).
tcf(c_20954,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(sdtpldt0(xm,xn),X0) != sdtasdt0(xm,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_4013,c_68]) ).
tcf(c_20955,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(xm,sdtpldt0(xm,xn)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_4013,c_69]) ).
tcf(c_20961,plain,
( ( sz00 = xm )
| ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(xm,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4014,c_72]) ).
tcf(c_20962,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_4014,c_53]) ).
tcf(c_20963,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(sdtpldt0(sz00,xl),X0) != sdtasdt0(xm,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_4014,c_68]) ).
tcf(c_20964,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtpldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(xm,sdtpldt0(sz00,xl)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_4014,c_69]) ).
tcf(c_21017,plain,
( ( sz00 = xm )
| ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(xm,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4015,c_72]) ).
tcf(c_21018,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_4015,c_53]) ).
tcf(c_21019,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(sdtpldt0(sz00,xm),X0) != sdtasdt0(xm,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_4015,c_68]) ).
tcf(c_21020,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtpldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(xm,sdtpldt0(sz00,xm)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_4015,c_69]) ).
tcf(c_21026,plain,
( ( sz00 = xm )
| ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(xm,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4016,c_72]) ).
tcf(c_21027,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_4016,c_53]) ).
tcf(c_21028,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(sdtpldt0(sz00,xn),X0) != sdtasdt0(xm,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_4016,c_68]) ).
tcf(c_21029,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtpldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(xm,sdtpldt0(sz00,xn)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_4016,c_69]) ).
tcf(c_21034,plain,
( ( sz00 = xm )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(xm,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4017,c_72]) ).
tcf(c_21035,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4017,c_53]) ).
tcf(c_21036,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sdtasdt0(xm,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_4017,c_68]) ).
tcf(c_21037,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(xm,sdtpldt0(xl,xm)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_4017,c_69]) ).
tcf(c_21042,plain,
( ( sz00 = xm )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(xm,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4018,c_72]) ).
tcf(c_21043,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4018,c_53]) ).
tcf(c_21044,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sdtasdt0(xm,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_4018,c_68]) ).
tcf(c_21045,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(xm,sdtpldt0(xl,xn)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_4018,c_69]) ).
tcf(c_21052,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_4019,c_53]) ).
tcf(c_21054,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtasdt0(xm,sdtasdt0(sz00,xl)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_4019,c_69]) ).
tcf(c_21059,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_4020,c_53]) ).
tcf(c_21061,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtasdt0(xm,sdtasdt0(sz00,xm)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_4020,c_69]) ).
tcf(c_21066,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_4021,c_53]) ).
tcf(c_21068,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtasdt0(xm,sdtasdt0(sz00,xn)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_4021,c_69]) ).
tcf(c_21071,plain,
( ( sz00 = xm )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(xm,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4022,c_72]) ).
tcf(c_21072,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4022,c_53]) ).
tcf(c_21073,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),X0) != sdtasdt0(xm,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_4022,c_68]) ).
tcf(c_21074,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(xm,sdtasdt0(xl,xm)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_4022,c_69]) ).
tcf(c_21079,plain,
( ( sz00 = xm )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(xm,sdtasdt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4023,c_72]) ).
tcf(c_21080,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4023,c_53]) ).
tcf(c_21081,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(sdtasdt0(xl,xn),X0) != sdtasdt0(xm,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_4023,c_68]) ).
tcf(c_21082,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(xm,sdtasdt0(xl,xn)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_4023,c_69]) ).
tcf(c_21090,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xn)),X0) != sdtpldt0(xn,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_13154,c_66]) ).
tcf(c_21091,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(xn,sdtpldt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_13154,c_67]) ).
tcf(c_21119,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xl)))
| ( sdtpldt0(xn,sdtpldt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_13358,c_66]) ).
tcf(c_21120,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xl)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xl))) != sdtpldt0(xn,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_13358,c_67]) ).
tcf(c_21128,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xl)))
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xl)),X0) != sdtpldt0(xn,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_13359,c_66]) ).
tcf(c_21129,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xl)))
| ( sdtpldt0(xn,sdtpldt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_13359,c_67]) ).
tcf(c_21136,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xm)))
| ( sdtpldt0(xn,sdtpldt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_13518,c_66]) ).
tcf(c_21137,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xm)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xm))) != sdtpldt0(xn,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_13518,c_67]) ).
tcf(c_21141,plain,
( ( sz00 = xm )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(xm,sdtasdt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4157,c_72]) ).
tcf(c_21142,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_4157,c_53]) ).
tcf(c_21143,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(sdtasdt0(xm,xn),X0) != sdtasdt0(xm,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_4157,c_68]) ).
tcf(c_21144,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(xm,sdtasdt0(xm,xn)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_4157,c_69]) ).
tcf(c_21184,plain,
( ( sz00 = xl )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(xl,sdtasdt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4158,c_72]) ).
tcf(c_21185,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_4158,c_53]) ).
tcf(c_21186,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(sdtasdt0(xm,xn),X0) != sdtasdt0(xl,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_4158,c_68]) ).
tcf(c_21187,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(xl,sdtasdt0(xm,xn)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_4158,c_69]) ).
tcf(c_21194,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xm,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_4159,c_53]) ).
tcf(c_21195,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(sdtasdt0(xm,xn),X0) != sdtasdt0(sz00,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_4159,c_68]) ).
tcf(c_21200,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(xn,sdtasdt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4160,c_71]) ).
tcf(c_21201,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(xn,sdtasdt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4160,c_70]) ).
tcf(c_21202,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_4160,c_52]) ).
tcf(c_21203,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),X0) != sdtpldt0(xn,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_4160,c_66]) ).
tcf(c_21204,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(xn,sdtasdt0(xm,xn)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_4160,c_67]) ).
tcf(c_21275,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(xm,sdtasdt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4163,c_71]) ).
tcf(c_21276,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(xm,sdtasdt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4163,c_70]) ).
tcf(c_21277,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_4163,c_52]) ).
tcf(c_21278,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),X0) != sdtpldt0(xm,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_4163,c_66]) ).
tcf(c_21279,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(xm,sdtasdt0(xm,xn)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_4163,c_67]) ).
tcf(c_21284,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(xl,sdtasdt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4166,c_71]) ).
tcf(c_21285,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(xl,sdtasdt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4166,c_70]) ).
tcf(c_21286,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_4166,c_52]) ).
tcf(c_21287,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),X0) != sdtpldt0(xl,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_4166,c_66]) ).
tcf(c_21288,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(xl,sdtasdt0(xm,xn)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_4166,c_67]) ).
tcf(c_21378,plain,
( ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sz00,sdtasdt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4168,c_70]) ).
tcf(c_21379,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_4168,c_52]) ).
tcf(c_21380,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sdtasdt0(xm,xn),X0) != sdtpldt0(sz00,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_4168,c_66]) ).
tcf(c_21381,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtpldt0(sz00,sdtasdt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_4168,c_67]) ).
tcf(c_21409,plain,
( ( sz00 = xn )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(xn,sdtpldt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4258,c_72]) ).
tcf(c_21410,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_4258,c_53]) ).
tcf(c_21411,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(sdtpldt0(xm,xn),X0) != sdtasdt0(xn,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_4258,c_68]) ).
tcf(c_21412,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtpldt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ( sdtasdt0(xn,sdtpldt0(xm,xn)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_4258,c_69]) ).
tcf(c_21418,plain,
( ( sz00 = xn )
| ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(xn,sdtpldt0(sz00,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4259,c_72]) ).
tcf(c_21419,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_4259,c_53]) ).
tcf(c_21420,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(sdtpldt0(sz00,xl),X0) != sdtasdt0(xn,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_4259,c_68]) ).
tcf(c_21421,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtpldt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xl))
| ( sdtasdt0(xn,sdtpldt0(sz00,xl)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_4259,c_69]) ).
tcf(c_21446,plain,
( ( sz00 = xn )
| ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(xn,sdtpldt0(sz00,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4260,c_72]) ).
tcf(c_21447,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_4260,c_53]) ).
tcf(c_21448,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(sdtpldt0(sz00,xm),X0) != sdtasdt0(xn,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_4260,c_68]) ).
tcf(c_21449,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtpldt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xm))
| ( sdtasdt0(xn,sdtpldt0(sz00,xm)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_4260,c_69]) ).
tcf(c_21454,plain,
( ( sz00 = xn )
| ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(xn,sdtpldt0(sz00,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4261,c_72]) ).
tcf(c_21455,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_4261,c_53]) ).
tcf(c_21456,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(sz00,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(sdtpldt0(sz00,xn),X0) != sdtasdt0(xn,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_4261,c_68]) ).
tcf(c_21457,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtpldt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,xn))
| ( sdtasdt0(xn,sdtpldt0(sz00,xn)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_4261,c_69]) ).
tcf(c_21481,plain,
( ( sz00 = xn )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(xn,sdtpldt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4262,c_72]) ).
tcf(c_21482,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4262,c_53]) ).
tcf(c_21483,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(sdtpldt0(xl,xm),X0) != sdtasdt0(xn,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_4262,c_68]) ).
tcf(c_21484,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtpldt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xm))
| ( sdtasdt0(xn,sdtpldt0(xl,xm)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_4262,c_69]) ).
tcf(c_21493,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xm)))
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xm)),X0) != sdtpldt0(xn,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_13519,c_66]) ).
tcf(c_21494,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xm)))
| ( sdtpldt0(xn,sdtpldt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_13519,c_67]) ).
tcf(c_21501,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xn)))
| ( sdtpldt0(xn,sdtpldt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_14364,c_66]) ).
tcf(c_21502,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xn)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(sz00,xn))) != sdtpldt0(xn,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_14364,c_67]) ).
tcf(c_21510,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xn)))
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(sz00,xn)),X0) != sdtpldt0(xn,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_14365,c_66]) ).
tcf(c_21511,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,xn)))
| ( sdtpldt0(xn,sdtpldt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_14365,c_67]) ).
tcf(c_21536,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm)))
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_14909,c_66]) ).
tcf(c_21537,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xl,xm))) != sdtpldt0(xn,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_14909,c_67]) ).
tcf(c_21541,plain,
( ( sz00 = xn )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(xn,sdtpldt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4263,c_72]) ).
tcf(c_21542,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4263,c_53]) ).
tcf(c_21543,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(sdtpldt0(xl,xn),X0) != sdtasdt0(xn,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_4263,c_68]) ).
tcf(c_21544,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtpldt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xn))
| ( sdtasdt0(xn,sdtpldt0(xl,xn)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_4263,c_69]) ).
tcf(c_21551,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl)) ),
inference(superposition,[status(thm)],[c_4264,c_53]) ).
tcf(c_21553,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtasdt0(sz00,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xl))
| ( sdtasdt0(xn,sdtasdt0(sz00,xl)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_4264,c_69]) ).
tcf(c_21590,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm)) ),
inference(superposition,[status(thm)],[c_4265,c_53]) ).
tcf(c_21592,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtasdt0(sz00,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xm))
| ( sdtasdt0(xn,sdtasdt0(sz00,xm)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_4265,c_69]) ).
tcf(c_21597,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn)) ),
inference(superposition,[status(thm)],[c_4266,c_53]) ).
tcf(c_21599,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtasdt0(sz00,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,xn))
| ( sdtasdt0(xn,sdtasdt0(sz00,xn)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_4266,c_69]) ).
tcf(c_21602,plain,
( ( sz00 = xn )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(xn,sdtasdt0(xl,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4267,c_72]) ).
tcf(c_21603,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_4267,c_53]) ).
tcf(c_21604,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(xl,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(sdtasdt0(xl,xm),X0) != sdtasdt0(xn,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_4267,c_68]) ).
tcf(c_21605,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtasdt0(xl,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xm))
| ( sdtasdt0(xn,sdtasdt0(xl,xm)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_4267,c_69]) ).
tcf(c_21709,plain,
( ( sz00 = xn )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(xn,sdtasdt0(xl,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4268,c_72]) ).
tcf(c_21710,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xn)) ),
inference(superposition,[status(thm)],[c_4268,c_53]) ).
tcf(c_21711,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(xl,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(sdtasdt0(xl,xn),X0) != sdtasdt0(xn,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_4268,c_68]) ).
tcf(c_21712,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtasdt0(xl,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,xn))
| ( sdtasdt0(xn,sdtasdt0(xl,xn)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_4268,c_69]) ).
tcf(c_21717,plain,
( ( sz00 = xn )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(xn,sdtasdt0(xm,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_4269,c_72]) ).
tcf(c_21718,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_4269,c_53]) ).
tcf(c_21719,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtasdt0(xm,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(sdtasdt0(xm,xn),X0) != sdtasdt0(xn,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_4269,c_68]) ).
tcf(c_21720,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtasdt0(xm,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ( sdtasdt0(xn,sdtasdt0(xm,xn)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_4269,c_69]) ).
tcf(c_21729,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7863,c_68]) ).
tcf(c_21737,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7864,c_68]) ).
tcf(c_21745,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7865,c_68]) ).
tcf(c_21763,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_7868,c_69]) ).
tcf(c_21769,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xm)),X0) != sdtpldt0(xn,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_14910,c_66]) ).
tcf(c_21770,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xm)))
| ( sdtpldt0(xn,sdtpldt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_14910,c_67]) ).
tcf(c_21776,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_15075,c_66]) ).
tcf(c_21777,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xl,xn))) != sdtpldt0(xn,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_15075,c_67]) ).
tcf(c_21784,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xn)),X0) != sdtpldt0(xn,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_15076,c_66]) ).
tcf(c_21785,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(xn,sdtpldt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_15076,c_67]) ).
tcf(c_21792,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xm,xn)))
| ( sdtasdt0(sz00,sdtpldt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_15416,c_66]) ).
tcf(c_21793,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(xm,xn))) != sdtasdt0(sz00,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_15416,c_67]) ).
tcf(c_21801,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_7869,c_69]) ).
tcf(c_21809,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_7870,c_69]) ).
tcf(c_21825,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7873,c_68]) ).
tcf(c_21833,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7874,c_68]) ).
tcf(c_21841,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7875,c_68]) ).
tcf(c_21850,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7876,c_68]) ).
tcf(c_21859,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_7878,c_69]) ).
tcf(c_21867,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_7879,c_69]) ).
tcf(c_21875,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_7880,c_69]) ).
tcf(c_21884,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_7881,c_69]) ).
tcf(c_21891,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7994,c_68]) ).
tcf(c_21899,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xm,xn)))
| ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xn)),X0) != sdtasdt0(sz00,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_15417,c_66]) ).
tcf(c_21900,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xm,xn)))
| ( sdtasdt0(sz00,sdtpldt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_15417,c_67]) ).
tcf(c_21908,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xl)))
| ( sdtasdt0(sz00,sdtpldt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_15554,c_66]) ).
tcf(c_21909,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xl)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(sz00,xl))) != sdtasdt0(sz00,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_15554,c_67]) ).
tcf(c_21917,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xl)))
| ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xl)),X0) != sdtasdt0(sz00,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_15555,c_66]) ).
tcf(c_21918,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xl)))
| ( sdtasdt0(sz00,sdtpldt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_15555,c_67]) ).
tcf(c_21926,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xm)))
| ( sdtasdt0(sz00,sdtpldt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_15672,c_66]) ).
tcf(c_21927,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xm)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(sz00,xm))) != sdtasdt0(sz00,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_15672,c_67]) ).
tcf(c_21934,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7995,c_68]) ).
tcf(c_21985,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_7996,c_68]) ).
tcf(c_22003,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_7999,c_69]) ).
tcf(c_22011,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8000,c_69]) ).
tcf(c_22019,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8001,c_69]) ).
tcf(c_22035,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8004,c_68]) ).
tcf(c_22043,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8005,c_68]) ).
tcf(c_22051,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8006,c_68]) ).
tcf(c_22060,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8007,c_68]) ).
tcf(c_22069,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8009,c_69]) ).
tcf(c_22077,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xm)))
| ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xm)),X0) != sdtasdt0(sz00,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_15673,c_66]) ).
tcf(c_22078,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xm)))
| ( sdtasdt0(sz00,sdtpldt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_15673,c_67]) ).
tcf(c_22086,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xn)))
| ( sdtasdt0(sz00,sdtpldt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_16015,c_66]) ).
tcf(c_22087,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xn)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(sz00,xn))) != sdtasdt0(sz00,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_16015,c_67]) ).
tcf(c_22114,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xn)))
| ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz00,xn)),X0) != sdtasdt0(sz00,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_16016,c_66]) ).
tcf(c_22115,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(sz00,xn)))
| ( sdtasdt0(sz00,sdtpldt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_16016,c_67]) ).
tcf(c_22116,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_16145,c_103,c_102,c_101,c_1980,c_16145]) ).
tcf(c_22118,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22116,c_7192]) ).
tcf(c_22119,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22116,c_7191]) ).
tcf(c_22120,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22116,c_7190]) ).
tcf(c_22121,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22116,c_7186]) ).
tcf(c_22122,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22116,c_1856]) ).
tcf(c_22123,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22116,c_6323]) ).
tcf(c_22124,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22116,c_6322]) ).
tcf(c_22125,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22116,c_6321]) ).
tcf(c_22126,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22116,c_6317]) ).
tcf(c_22127,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22116,c_1855]) ).
tcf(c_22128,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22116,c_5582]) ).
tcf(c_22129,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22116,c_5581]) ).
tcf(c_22130,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22116,c_5580]) ).
tcf(c_22131,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22116,c_5576]) ).
tcf(c_22132,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22116,c_1843]) ).
tcf(c_22133,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22116,c_4644]) ).
tcf(c_22134,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22116,c_4643]) ).
tcf(c_22135,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22116,c_4642]) ).
tcf(c_22136,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22116,c_4638]) ).
tcf(c_22137,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22116,c_1842]) ).
tcf(c_22138,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_22116,c_1890]) ).
tcf(c_22139,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_22116,c_1889]) ).
tcf(c_22140,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_22116,c_1888]) ).
tcf(c_22141,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_22116,c_1885]) ).
tcf(c_22142,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_22116,c_1868]) ).
tcf(c_22143,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))),sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22116,c_65]) ).
tcf(c_22144,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X1)) = sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22116,c_64]) ).
tcf(c_22145,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_22116,c_1867]) ).
tcf(c_22146,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22116,c_59]) ).
tcf(c_22147,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22116,c_55]) ).
tcf(c_22148,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_22116,c_1866]) ).
tcf(c_22149,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0),sdtasdt0(xl,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22116,c_153]) ).
tcf(c_22150,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_22116,c_1863]) ).
tcf(c_22151,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22116,c_58]) ).
tcf(c_22152,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22116,c_54]) ).
tcf(c_22155,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xn))) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_22116,c_57]) ).
tcf(c_22156,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),sz00) = sdtasdt0(xl,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_22116,c_56]) ).
tcf(c_22286,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8010,c_69]) ).
tcf(c_22294,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8011,c_69]) ).
tcf(c_22360,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8012,c_69]) ).
tcf(c_22380,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8161,c_68]) ).
tcf(c_22388,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8162,c_68]) ).
tcf(c_22436,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8163,c_68]) ).
tcf(c_22481,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8166,c_69]) ).
tcf(c_22489,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8167,c_69]) ).
tcf(c_22497,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8168,c_69]) ).
tcf(c_22513,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8171,c_68]) ).
tcf(c_22515,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_16153,c_101,c_49,c_1927,c_16153]) ).
tcf(c_22517,plain,
aNaturalNumber0(sdtasdt0(xl,xl)),
inference(superposition,[status(thm)],[c_1824,c_22515]) ).
tcf(c_22518,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22515,c_7192]) ).
tcf(c_22519,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22515,c_7191]) ).
tcf(c_22520,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22515,c_7190]) ).
tcf(c_22521,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22515,c_7186]) ).
tcf(c_22522,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22515,c_1856]) ).
tcf(c_22523,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_22515,c_6323]) ).
tcf(c_22524,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_22515,c_6322]) ).
tcf(c_22525,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_22515,c_6321]) ).
tcf(c_22526,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_22515,c_6317]) ).
tcf(c_22527,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22515,c_1855]) ).
tcf(c_22528,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22515,c_5582]) ).
tcf(c_22529,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22515,c_5581]) ).
tcf(c_22530,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22515,c_5580]) ).
tcf(c_22531,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22515,c_5576]) ).
tcf(c_22532,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22515,c_1843]) ).
tcf(c_22533,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_22515,c_4644]) ).
tcf(c_22534,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_22515,c_4643]) ).
tcf(c_22535,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_22515,c_4642]) ).
tcf(c_22536,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_22515,c_4638]) ).
tcf(c_22537,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22515,c_1842]) ).
tcf(c_22538,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_22515,c_1890]) ).
tcf(c_22539,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_22515,c_1889]) ).
tcf(c_22540,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_22515,c_1888]) ).
tcf(c_22541,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_22515,c_1885]) ).
tcf(c_22542,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_22515,c_1868]) ).
tcf(c_22543,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xl))),sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22515,c_65]) ).
tcf(c_22544,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),X1)) = sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22515,c_64]) ).
tcf(c_22545,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_22515,c_1867]) ).
tcf(c_22546,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22515,c_59]) ).
tcf(c_22547,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22515,c_55]) ).
tcf(c_22548,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_22515,c_1866]) ).
tcf(c_22549,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),X0),sdtasdt0(xl,sdtpldt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22515,c_153]) ).
tcf(c_22550,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_22515,c_1863]) ).
tcf(c_22551,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22515,c_58]) ).
tcf(c_22552,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22515,c_54]) ).
tcf(c_22555,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xl))) = sdtasdt0(xl,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_22515,c_57]) ).
tcf(c_22556,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(xl,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_22515,c_56]) ).
tcf(c_22717,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_16162,c_102,c_101,c_49,c_1930,c_16162]) ).
tcf(c_22720,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22717,c_7192]) ).
tcf(c_22721,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22717,c_7191]) ).
tcf(c_22722,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22717,c_7190]) ).
tcf(c_22723,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22717,c_7186]) ).
tcf(c_22724,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22717,c_1856]) ).
tcf(c_22725,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22717,c_6323]) ).
tcf(c_22726,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22717,c_6322]) ).
tcf(c_22727,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22717,c_6321]) ).
tcf(c_22728,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22717,c_6317]) ).
tcf(c_22729,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22717,c_1855]) ).
tcf(c_22730,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22717,c_5582]) ).
tcf(c_22731,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22717,c_5581]) ).
tcf(c_22732,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22717,c_5580]) ).
tcf(c_22733,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22717,c_5576]) ).
tcf(c_22734,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22717,c_1843]) ).
tcf(c_22735,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22717,c_4644]) ).
tcf(c_22736,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22717,c_4643]) ).
tcf(c_22737,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22717,c_4642]) ).
tcf(c_22738,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_22717,c_4638]) ).
tcf(c_22739,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22717,c_1842]) ).
tcf(c_22740,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_22717,c_1890]) ).
tcf(c_22741,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_22717,c_1889]) ).
tcf(c_22742,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_22717,c_1888]) ).
tcf(c_22743,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_22717,c_1885]) ).
tcf(c_22744,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_22717,c_1868]) ).
tcf(c_22745,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xm))),sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22717,c_65]) ).
tcf(c_22746,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),X1)) = sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22717,c_64]) ).
tcf(c_22747,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_22717,c_1867]) ).
tcf(c_22748,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22717,c_59]) ).
tcf(c_22749,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22717,c_55]) ).
tcf(c_22750,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_22717,c_1866]) ).
tcf(c_22751,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),X0),sdtasdt0(xl,sdtpldt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22717,c_153]) ).
tcf(c_22752,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_22717,c_1863]) ).
tcf(c_22753,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22717,c_58]) ).
tcf(c_22754,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22717,c_54]) ).
tcf(c_22757,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xm))) = sdtasdt0(xl,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_22717,c_57]) ).
tcf(c_22758,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(xl,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_22717,c_56]) ).
tcf(c_22922,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_16171,c_103,c_101,c_49,c_1933,c_16171]) ).
tcf(c_22925,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22922,c_7192]) ).
tcf(c_22926,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22922,c_7191]) ).
tcf(c_22927,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22922,c_7190]) ).
tcf(c_22928,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22922,c_7186]) ).
tcf(c_22929,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22922,c_1856]) ).
tcf(c_22930,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22922,c_6323]) ).
tcf(c_22931,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22922,c_6322]) ).
tcf(c_22932,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22922,c_6321]) ).
tcf(c_22933,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22922,c_6317]) ).
tcf(c_22934,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22922,c_1855]) ).
tcf(c_22935,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22922,c_5582]) ).
tcf(c_22936,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22922,c_5581]) ).
tcf(c_22937,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22922,c_5580]) ).
tcf(c_22938,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_22922,c_5576]) ).
tcf(c_22939,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22922,c_1843]) ).
tcf(c_22940,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22922,c_4644]) ).
tcf(c_22941,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22922,c_4643]) ).
tcf(c_22942,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22922,c_4642]) ).
tcf(c_22943,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_22922,c_4638]) ).
tcf(c_22944,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22922,c_1842]) ).
tcf(c_22945,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_22922,c_1890]) ).
tcf(c_22946,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_22922,c_1889]) ).
tcf(c_22947,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_22922,c_1888]) ).
tcf(c_22948,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_22922,c_1885]) ).
tcf(c_22949,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_22922,c_1868]) ).
tcf(c_22950,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xn))),sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22922,c_65]) ).
tcf(c_22951,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),X1)) = sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22922,c_64]) ).
tcf(c_22952,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_22922,c_1867]) ).
tcf(c_22953,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22922,c_59]) ).
tcf(c_22954,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22922,c_55]) ).
tcf(c_22955,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_22922,c_1866]) ).
tcf(c_22956,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),X0),sdtasdt0(xl,sdtpldt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22922,c_153]) ).
tcf(c_22957,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_22922,c_1863]) ).
tcf(c_22958,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22922,c_58]) ).
tcf(c_22959,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22922,c_54]) ).
tcf(c_22962,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,xn))) = sdtasdt0(xl,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_22922,c_57]) ).
tcf(c_22963,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(xl,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_22922,c_56]) ).
tcf(c_23053,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_16179,c_102,c_101,c_2131,c_16179]) ).
tcf(c_23055,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23053,c_7192]) ).
tcf(c_23056,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23053,c_7191]) ).
tcf(c_23057,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23053,c_7190]) ).
tcf(c_23058,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23053,c_7186]) ).
tcf(c_23059,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23053,c_1856]) ).
tcf(c_23060,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23053,c_6323]) ).
tcf(c_23061,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23053,c_6322]) ).
tcf(c_23062,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23053,c_6321]) ).
tcf(c_23063,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23053,c_6317]) ).
tcf(c_23064,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23053,c_1855]) ).
tcf(c_23065,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23053,c_5582]) ).
tcf(c_23066,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23053,c_5581]) ).
tcf(c_23067,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23053,c_5580]) ).
tcf(c_23068,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23053,c_5576]) ).
tcf(c_23069,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23053,c_1843]) ).
tcf(c_23070,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23053,c_4644]) ).
tcf(c_23071,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23053,c_4643]) ).
tcf(c_23072,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23053,c_4642]) ).
tcf(c_23073,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_23053,c_4638]) ).
tcf(c_23074,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23053,c_1842]) ).
tcf(c_23075,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_23053,c_1890]) ).
tcf(c_23076,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_23053,c_1889]) ).
tcf(c_23077,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_23053,c_1888]) ).
tcf(c_23078,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_23053,c_1885]) ).
tcf(c_23079,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_23053,c_1868]) ).
tcf(c_23080,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))),sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23053,c_65]) ).
tcf(c_23081,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X1)) = sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23053,c_64]) ).
tcf(c_23082,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_23053,c_1867]) ).
tcf(c_23083,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23053,c_59]) ).
tcf(c_23084,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23053,c_55]) ).
tcf(c_23085,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_23053,c_1866]) ).
tcf(c_23086,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0),sdtasdt0(xl,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23053,c_153]) ).
tcf(c_23087,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_23053,c_1863]) ).
tcf(c_23088,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23053,c_58]) ).
tcf(c_23089,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23053,c_54]) ).
tcf(c_23092,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xm))) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_23053,c_57]) ).
tcf(c_23093,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),sz00) = sdtasdt0(xl,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_23053,c_56]) ).
tcf(c_23146,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22517,c_7192]) ).
tcf(c_23147,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22517,c_7191]) ).
tcf(c_23148,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22517,c_7190]) ).
tcf(c_23149,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22517,c_7186]) ).
tcf(c_23150,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22517,c_1856]) ).
tcf(c_23151,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_22517,c_6323]) ).
tcf(c_23152,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_22517,c_6322]) ).
tcf(c_23153,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_22517,c_6321]) ).
tcf(c_23154,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_22517,c_6317]) ).
tcf(c_23155,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22517,c_1855]) ).
tcf(c_23156,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22517,c_5582]) ).
tcf(c_23157,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22517,c_5581]) ).
tcf(c_23158,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22517,c_5580]) ).
tcf(c_23159,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_22517,c_5576]) ).
tcf(c_23160,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22517,c_1843]) ).
tcf(c_23161,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_22517,c_4644]) ).
tcf(c_23162,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_22517,c_4643]) ).
tcf(c_23163,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_22517,c_4642]) ).
tcf(c_23164,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xl))) = sz00,
inference(superposition,[status(thm)],[c_22517,c_4638]) ).
tcf(c_23165,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22517,c_1842]) ).
tcf(c_23166,plain,
sdtasdt0(sdtasdt0(xl,xl),xn) = sdtasdt0(xn,sdtasdt0(xl,xl)),
inference(superposition,[status(thm)],[c_22517,c_1890]) ).
tcf(c_23167,plain,
sdtasdt0(sdtasdt0(xl,xl),xm) = sdtasdt0(xm,sdtasdt0(xl,xl)),
inference(superposition,[status(thm)],[c_22517,c_1889]) ).
tcf(c_23168,plain,
sdtasdt0(sdtasdt0(xl,xl),xl) = sdtasdt0(xl,sdtasdt0(xl,xl)),
inference(superposition,[status(thm)],[c_22517,c_1888]) ).
tcf(c_23169,plain,
sdtasdt0(sdtasdt0(xl,xl),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xl)),
inference(superposition,[status(thm)],[c_22517,c_1885]) ).
tcf(c_23170,plain,
sdtpldt0(sdtasdt0(xl,xl),xn) = sdtpldt0(xn,sdtasdt0(xl,xl)),
inference(superposition,[status(thm)],[c_22517,c_1868]) ).
tcf(c_23171,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,xl)),sdtasdt0(X1,sdtasdt0(xl,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22517,c_65]) ).
tcf(c_23172,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,xl),X0),sdtasdt0(sdtasdt0(xl,xl),X1)) = sdtasdt0(sdtasdt0(xl,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22517,c_64]) ).
tcf(c_23173,plain,
sdtpldt0(sdtasdt0(xl,xl),xm) = sdtpldt0(xm,sdtasdt0(xl,xl)),
inference(superposition,[status(thm)],[c_22517,c_1867]) ).
tcf(c_23174,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,xl),X0),X1) = sdtasdt0(sdtasdt0(xl,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22517,c_59]) ).
tcf(c_23175,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,xl),X0),X1) = sdtpldt0(sdtasdt0(xl,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22517,c_55]) ).
tcf(c_23176,plain,
sdtpldt0(sdtasdt0(xl,xl),xl) = sdtpldt0(xl,sdtasdt0(xl,xl)),
inference(superposition,[status(thm)],[c_22517,c_1866]) ).
tcf(c_23177,plain,
! [X0: $i] :
( ( sdtasdt0(xl,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,xl),X0),sdtasdt0(xl,xl)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22517,c_153]) ).
tcf(c_23178,plain,
sdtpldt0(sdtasdt0(xl,xl),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xl)),
inference(superposition,[status(thm)],[c_22517,c_1863]) ).
tcf(c_23179,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,xl),X0) = sdtasdt0(X0,sdtasdt0(xl,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22517,c_58]) ).
tcf(c_23180,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,xl),X0) = sdtpldt0(X0,sdtasdt0(xl,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_22517,c_54]) ).
tcf(c_23183,plain,
sdtpldt0(sz00,sdtasdt0(xl,xl)) = sdtasdt0(xl,xl),
inference(superposition,[status(thm)],[c_22517,c_57]) ).
tcf(c_23184,plain,
sdtpldt0(sdtasdt0(xl,xl),sz00) = sdtasdt0(xl,xl),
inference(superposition,[status(thm)],[c_22517,c_56]) ).
tcf(c_23387,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xl)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23146,c_68]) ).
tcf(c_23393,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xl)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23147,c_68]) ).
tcf(c_23399,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xl)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23148,c_68]) ).
tcf(c_23413,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xl)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23151,c_69]) ).
tcf(c_23419,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xl)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23152,c_69]) ).
tcf(c_23425,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xl)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23153,c_69]) ).
tcf(c_23437,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xl)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23156,c_68]) ).
tcf(c_23443,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xl)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23157,c_68]) ).
tcf(c_23449,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xl)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23158,c_68]) ).
tcf(c_23456,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_23183,c_66]) ).
tcf(c_23457,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_23183,c_67]) ).
tcf(c_23464,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_23184,c_66]) ).
tcf(c_23465,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_23184,c_67]) ).
tcf(c_23466,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_16239,c_103,c_101,c_2146,c_16239]) ).
tcf(c_23468,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23466,c_7192]) ).
tcf(c_23469,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23466,c_7191]) ).
tcf(c_23470,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23466,c_7190]) ).
tcf(c_23471,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23466,c_7186]) ).
tcf(c_23472,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23466,c_1856]) ).
tcf(c_23473,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_23466,c_6323]) ).
tcf(c_23474,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_23466,c_6322]) ).
tcf(c_23475,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_23466,c_6321]) ).
tcf(c_23476,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_23466,c_6317]) ).
tcf(c_23477,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23466,c_1855]) ).
tcf(c_23478,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23466,c_5582]) ).
tcf(c_23479,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23466,c_5581]) ).
tcf(c_23480,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23466,c_5580]) ).
tcf(c_23481,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23466,c_5576]) ).
tcf(c_23482,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23466,c_1843]) ).
tcf(c_23483,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_23466,c_4644]) ).
tcf(c_23484,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_23466,c_4643]) ).
tcf(c_23485,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_23466,c_4642]) ).
tcf(c_23486,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_23466,c_4638]) ).
tcf(c_23487,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23466,c_1842]) ).
tcf(c_23488,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_23466,c_1890]) ).
tcf(c_23489,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_23466,c_1889]) ).
tcf(c_23490,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_23466,c_1888]) ).
tcf(c_23491,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_23466,c_1885]) ).
tcf(c_23492,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_23466,c_1868]) ).
tcf(c_23493,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))),sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23466,c_65]) ).
tcf(c_23494,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X1)) = sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23466,c_64]) ).
tcf(c_23495,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_23466,c_1867]) ).
tcf(c_23496,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23466,c_59]) ).
tcf(c_23497,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23466,c_55]) ).
tcf(c_23498,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_23466,c_1866]) ).
tcf(c_23499,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0),sdtasdt0(xl,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23466,c_153]) ).
tcf(c_23500,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_23466,c_1863]) ).
tcf(c_23501,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23466,c_58]) ).
tcf(c_23502,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23466,c_54]) ).
tcf(c_23505,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xn))) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_23466,c_57]) ).
tcf(c_23506,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),sz00) = sdtasdt0(xl,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_23466,c_56]) ).
tcf(c_23687,plain,
aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_16257,c_101,c_49,c_3063,c_16257]) ).
tcf(c_23689,plain,
aNaturalNumber0(sdtasdt0(xl,sz00)),
inference(superposition,[status(thm)],[c_1832,c_23687]) ).
tcf(c_23690,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23687,c_7192]) ).
tcf(c_23691,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23687,c_7191]) ).
tcf(c_23692,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23687,c_7190]) ).
tcf(c_23693,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23687,c_7186]) ).
tcf(c_23694,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23687,c_1856]) ).
tcf(c_23695,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_23687,c_6323]) ).
tcf(c_23696,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_23687,c_6322]) ).
tcf(c_23697,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_23687,c_6321]) ).
tcf(c_23698,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_23687,c_6317]) ).
tcf(c_23699,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23687,c_1855]) ).
tcf(c_23700,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23687,c_5582]) ).
tcf(c_23701,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23687,c_5581]) ).
tcf(c_23702,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23687,c_5580]) ).
tcf(c_23703,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_23687,c_5576]) ).
tcf(c_23704,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23687,c_1843]) ).
tcf(c_23705,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_23687,c_4644]) ).
tcf(c_23706,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_23687,c_4643]) ).
tcf(c_23707,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_23687,c_4642]) ).
tcf(c_23708,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_23687,c_4638]) ).
tcf(c_23709,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23687,c_1842]) ).
tcf(c_23710,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_23687,c_1890]) ).
tcf(c_23711,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_23687,c_1889]) ).
tcf(c_23712,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_23687,c_1888]) ).
tcf(c_23713,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_23687,c_1885]) ).
tcf(c_23714,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_23687,c_1868]) ).
tcf(c_23715,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xl))),sdtasdt0(X1,sdtasdt0(xl,sdtasdt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23687,c_65]) ).
tcf(c_23716,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),X0),sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),X1)) = sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23687,c_64]) ).
tcf(c_23717,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_23687,c_1867]) ).
tcf(c_23718,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23687,c_59]) ).
tcf(c_23719,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23687,c_55]) ).
tcf(c_23720,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_23687,c_1866]) ).
tcf(c_23721,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),X0),sdtasdt0(xl,sdtasdt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23687,c_153]) ).
tcf(c_23722,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_23687,c_1863]) ).
tcf(c_23723,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23687,c_58]) ).
tcf(c_23724,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23687,c_54]) ).
tcf(c_23727,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xl))) = sdtasdt0(xl,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_23687,c_57]) ).
tcf(c_23728,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(xl,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_23687,c_56]) ).
tcf(c_23875,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23689,c_7192]) ).
tcf(c_23876,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23689,c_7191]) ).
tcf(c_23877,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23689,c_7190]) ).
tcf(c_23878,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23689,c_7186]) ).
tcf(c_23879,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23689,c_1856]) ).
tcf(c_23880,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_23689,c_6323]) ).
tcf(c_23881,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_23689,c_6322]) ).
tcf(c_23882,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_23689,c_6321]) ).
tcf(c_23883,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_23689,c_6317]) ).
tcf(c_23884,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23689,c_1855]) ).
tcf(c_23885,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23689,c_5582]) ).
tcf(c_23886,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23689,c_5581]) ).
tcf(c_23887,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23689,c_5580]) ).
tcf(c_23888,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_23689,c_5576]) ).
tcf(c_23889,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23689,c_1843]) ).
tcf(c_23890,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_23689,c_4644]) ).
tcf(c_23891,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_23689,c_4643]) ).
tcf(c_23892,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_23689,c_4642]) ).
tcf(c_23893,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sz00))) = sz00,
inference(superposition,[status(thm)],[c_23689,c_4638]) ).
tcf(c_23894,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23689,c_1842]) ).
tcf(c_23895,plain,
sdtasdt0(sdtasdt0(xl,sz00),xn) = sdtasdt0(xn,sdtasdt0(xl,sz00)),
inference(superposition,[status(thm)],[c_23689,c_1890]) ).
tcf(c_23896,plain,
sdtasdt0(sdtasdt0(xl,sz00),xm) = sdtasdt0(xm,sdtasdt0(xl,sz00)),
inference(superposition,[status(thm)],[c_23689,c_1889]) ).
tcf(c_23897,plain,
sdtasdt0(sdtasdt0(xl,sz00),xl) = sdtasdt0(xl,sdtasdt0(xl,sz00)),
inference(superposition,[status(thm)],[c_23689,c_1888]) ).
tcf(c_23898,plain,
sdtasdt0(sdtasdt0(xl,sz00),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sz00)),
inference(superposition,[status(thm)],[c_23689,c_1885]) ).
tcf(c_23899,plain,
sdtpldt0(sdtasdt0(xl,sz00),xn) = sdtpldt0(xn,sdtasdt0(xl,sz00)),
inference(superposition,[status(thm)],[c_23689,c_1868]) ).
tcf(c_23900,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sz00)),sdtasdt0(X1,sdtasdt0(xl,sz00))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23689,c_65]) ).
tcf(c_23901,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sz00),X0),sdtasdt0(sdtasdt0(xl,sz00),X1)) = sdtasdt0(sdtasdt0(xl,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23689,c_64]) ).
tcf(c_23902,plain,
sdtpldt0(sdtasdt0(xl,sz00),xm) = sdtpldt0(xm,sdtasdt0(xl,sz00)),
inference(superposition,[status(thm)],[c_23689,c_1867]) ).
tcf(c_23903,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sz00),X0),X1) = sdtasdt0(sdtasdt0(xl,sz00),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23689,c_59]) ).
tcf(c_23904,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sz00),X0),X1) = sdtpldt0(sdtasdt0(xl,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23689,c_55]) ).
tcf(c_23905,plain,
sdtpldt0(sdtasdt0(xl,sz00),xl) = sdtpldt0(xl,sdtasdt0(xl,sz00)),
inference(superposition,[status(thm)],[c_23689,c_1866]) ).
tcf(c_23907,plain,
sdtpldt0(sdtasdt0(xl,sz00),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sz00)),
inference(superposition,[status(thm)],[c_23689,c_1863]) ).
tcf(c_23908,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sz00),X0) = sdtasdt0(X0,sdtasdt0(xl,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23689,c_58]) ).
tcf(c_23909,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sz00),X0) = sdtpldt0(X0,sdtasdt0(xl,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_23689,c_54]) ).
tcf(c_23912,plain,
sdtpldt0(sz00,sdtasdt0(xl,sz00)) = sdtasdt0(xl,sz00),
inference(superposition,[status(thm)],[c_23689,c_57]) ).
tcf(c_23913,plain,
sdtpldt0(sdtasdt0(xl,sz00),sz00) = sdtasdt0(xl,sz00),
inference(superposition,[status(thm)],[c_23689,c_56]) ).
tcf(c_23990,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xl)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23159,c_68]) ).
tcf(c_23997,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xl)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23161,c_69]) ).
tcf(c_24003,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xl)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23162,c_69]) ).
tcf(c_24009,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xl)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23163,c_69]) ).
tcf(c_24016,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_23164,c_69]) ).
tcf(c_24023,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,sz00)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23875,c_68]) ).
tcf(c_24031,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,sz00)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23876,c_68]) ).
tcf(c_24039,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,sz00)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23877,c_68]) ).
tcf(c_24057,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23880,c_69]) ).
tcf(c_24065,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23881,c_69]) ).
tcf(c_24073,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_23912,c_66]) ).
tcf(c_24074,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_23912,c_67]) ).
tcf(c_24082,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_23913,c_66]) ).
tcf(c_24083,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_23913,c_67]) ).
tcf(c_24084,plain,
aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_16337,c_102,c_101,c_49,c_3078,c_16337]) ).
tcf(c_24087,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24084,c_7192]) ).
tcf(c_24088,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24084,c_7191]) ).
tcf(c_24089,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24084,c_7190]) ).
tcf(c_24090,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24084,c_7186]) ).
tcf(c_24091,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24084,c_1856]) ).
tcf(c_24092,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_24084,c_6323]) ).
tcf(c_24093,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_24084,c_6322]) ).
tcf(c_24094,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_24084,c_6321]) ).
tcf(c_24095,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_24084,c_6317]) ).
tcf(c_24096,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24084,c_1855]) ).
tcf(c_24097,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24084,c_5582]) ).
tcf(c_24098,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24084,c_5581]) ).
tcf(c_24099,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24084,c_5580]) ).
tcf(c_24100,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24084,c_5576]) ).
tcf(c_24101,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24084,c_1843]) ).
tcf(c_24102,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_24084,c_4644]) ).
tcf(c_24103,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_24084,c_4643]) ).
tcf(c_24104,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_24084,c_4642]) ).
tcf(c_24105,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_24084,c_4638]) ).
tcf(c_24106,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24084,c_1842]) ).
tcf(c_24107,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_24084,c_1890]) ).
tcf(c_24108,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_24084,c_1889]) ).
tcf(c_24109,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_24084,c_1888]) ).
tcf(c_24110,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_24084,c_1885]) ).
tcf(c_24111,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_24084,c_1868]) ).
tcf(c_24112,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xm))),sdtasdt0(X1,sdtasdt0(xl,sdtasdt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24084,c_65]) ).
tcf(c_24113,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),X0),sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),X1)) = sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24084,c_64]) ).
tcf(c_24114,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_24084,c_1867]) ).
tcf(c_24115,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24084,c_59]) ).
tcf(c_24116,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24084,c_55]) ).
tcf(c_24117,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_24084,c_1866]) ).
tcf(c_24118,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),X0),sdtasdt0(xl,sdtasdt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24084,c_153]) ).
tcf(c_24119,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_24084,c_1863]) ).
tcf(c_24120,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24084,c_58]) ).
tcf(c_24121,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24084,c_54]) ).
tcf(c_24124,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xm))) = sdtasdt0(xl,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_24084,c_57]) ).
tcf(c_24125,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(xl,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_24084,c_56]) ).
tcf(c_24285,plain,
aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_16344,c_103,c_101,c_49,c_3099,c_16344]) ).
tcf(c_24288,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24285,c_7192]) ).
tcf(c_24289,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24285,c_7191]) ).
tcf(c_24290,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24285,c_7190]) ).
tcf(c_24291,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24285,c_7186]) ).
tcf(c_24292,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24285,c_1856]) ).
tcf(c_24293,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_24285,c_6323]) ).
tcf(c_24294,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_24285,c_6322]) ).
tcf(c_24295,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_24285,c_6321]) ).
tcf(c_24296,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_24285,c_6317]) ).
tcf(c_24297,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24285,c_1855]) ).
tcf(c_24298,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24285,c_5582]) ).
tcf(c_24299,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24285,c_5581]) ).
tcf(c_24300,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24285,c_5580]) ).
tcf(c_24301,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_24285,c_5576]) ).
tcf(c_24302,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24285,c_1843]) ).
tcf(c_24303,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_24285,c_4644]) ).
tcf(c_24304,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_24285,c_4643]) ).
tcf(c_24305,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_24285,c_4642]) ).
tcf(c_24306,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_24285,c_4638]) ).
tcf(c_24307,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24285,c_1842]) ).
tcf(c_24308,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_24285,c_1890]) ).
tcf(c_24309,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_24285,c_1889]) ).
tcf(c_24310,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_24285,c_1888]) ).
tcf(c_24311,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_24285,c_1885]) ).
tcf(c_24312,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_24285,c_1868]) ).
tcf(c_24313,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xn))),sdtasdt0(X1,sdtasdt0(xl,sdtasdt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24285,c_65]) ).
tcf(c_24314,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),X0),sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),X1)) = sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24285,c_64]) ).
tcf(c_24315,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_24285,c_1867]) ).
tcf(c_24316,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24285,c_59]) ).
tcf(c_24317,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24285,c_55]) ).
tcf(c_24318,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_24285,c_1866]) ).
tcf(c_24319,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),X0),sdtasdt0(xl,sdtasdt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24285,c_153]) ).
tcf(c_24320,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_24285,c_1863]) ).
tcf(c_24321,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24285,c_58]) ).
tcf(c_24322,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_24285,c_54]) ).
tcf(c_24325,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,xn))) = sdtasdt0(xl,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_24285,c_57]) ).
tcf(c_24326,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(xl,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_24285,c_56]) ).
tcf(c_24343,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23882,c_69]) ).
tcf(c_24359,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,sz00)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23885,c_68]) ).
tcf(c_24367,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,sz00)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23886,c_68]) ).
tcf(c_24375,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,sz00)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23887,c_68]) ).
tcf(c_24407,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,sz00)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_23888,c_68]) ).
tcf(c_24416,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23890,c_69]) ).
tcf(c_24424,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23891,c_69]) ).
tcf(c_24432,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xl,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_23892,c_69]) ).
tcf(c_24441,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_23893,c_69]) ).
tcf(c_24448,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8172,c_68]) ).
tcf(c_24456,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8173,c_68]) ).
tcf(c_24464,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xm)))
| ( sdtasdt0(sz00,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_16387,c_66]) ).
tcf(c_24465,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(xl,xm))) != sdtasdt0(sz00,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_16387,c_67]) ).
tcf(c_24472,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xm)),X0) != sdtasdt0(sz00,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_16388,c_66]) ).
tcf(c_24473,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xm)))
| ( sdtasdt0(sz00,sdtpldt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_16388,c_67]) ).
tcf(c_24498,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xn)))
| ( sdtasdt0(sz00,sdtpldt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_16518,c_66]) ).
tcf(c_24499,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(xl,xn))) != sdtasdt0(sz00,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_16518,c_67]) ).
tcf(c_24506,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xn)),X0) != sdtasdt0(sz00,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_16519,c_66]) ).
tcf(c_24507,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xn)))
| ( sdtasdt0(sz00,sdtpldt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_16519,c_67]) ).
tcf(c_24515,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8174,c_68]) ).
tcf(c_24524,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8176,c_69]) ).
tcf(c_24532,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8177,c_69]) ).
tcf(c_24540,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8178,c_69]) ).
tcf(c_24645,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8179,c_69]) ).
tcf(c_24651,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8376,c_68]) ).
tcf(c_24658,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8377,c_68]) ).
tcf(c_24665,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8378,c_68]) ).
tcf(c_24681,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8381,c_69]) ).
tcf(c_24688,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8382,c_69]) ).
tcf(c_24695,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8383,c_69]) ).
tcf(c_24703,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xl)))
| ( sdtasdt0(sz00,sdtasdt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_16647,c_66]) ).
tcf(c_24704,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xl)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtasdt0(sz00,xl))) != sdtasdt0(sz00,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_16647,c_67]) ).
tcf(c_24712,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xl)))
| ( sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xl)),X0) != sdtasdt0(sz00,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_16648,c_66]) ).
tcf(c_24713,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xl)))
| ( sdtasdt0(sz00,sdtasdt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_16648,c_67]) ).
tcf(c_24720,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xl)))
| ( sdtpldt0(xn,sdtasdt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_16757,c_66]) ).
tcf(c_24721,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xl)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xl))) != sdtpldt0(xn,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_16757,c_67]) ).
tcf(c_24729,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xl)))
| ( sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xl)),X0) != sdtpldt0(xn,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_16758,c_66]) ).
tcf(c_24730,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xl)))
| ( sdtpldt0(xn,sdtasdt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_16758,c_67]) ).
tcf(c_24744,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8386,c_68]) ).
tcf(c_24751,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8387,c_68]) ).
tcf(c_24758,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8388,c_68]) ).
tcf(c_24766,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8389,c_68]) ).
tcf(c_24774,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8391,c_69]) ).
tcf(c_24781,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8392,c_69]) ).
tcf(c_24788,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8393,c_69]) ).
tcf(c_24796,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8394,c_69]) ).
tcf(c_24799,plain,
( ( sz00 = xn )
| ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(xn,sdtpldt0(xl,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8556,c_72]) ).
tcf(c_24800,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_8556,c_53]) ).
tcf(c_24801,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(sdtpldt0(xl,xl),X0) != sdtasdt0(xn,sdtpldt0(xl,xl)) ) ),
inference(superposition,[status(thm)],[c_8556,c_68]) ).
tcf(c_24802,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtpldt0(xl,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(xn,sdtpldt0(xl,xl)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_8556,c_69]) ).
tcf(c_24807,plain,
( ( sz00 = xm )
| ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(xm,sdtpldt0(xl,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8557,c_72]) ).
tcf(c_24808,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_8557,c_53]) ).
tcf(c_24809,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(sdtpldt0(xl,xl),X0) != sdtasdt0(xm,sdtpldt0(xl,xl)) ) ),
inference(superposition,[status(thm)],[c_8557,c_68]) ).
tcf(c_24810,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtpldt0(xl,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(xm,sdtpldt0(xl,xl)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_8557,c_69]) ).
tcf(c_24933,plain,
( ( sz00 = xl )
| ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(xl,sdtpldt0(xl,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8558,c_72]) ).
tcf(c_24934,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_8558,c_53]) ).
tcf(c_24935,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(sdtpldt0(xl,xl),X0) != sdtasdt0(xl,sdtpldt0(xl,xl)) ) ),
inference(superposition,[status(thm)],[c_8558,c_68]) ).
tcf(c_24936,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtpldt0(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(xl,sdtpldt0(xl,xl)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_8558,c_69]) ).
tcf(c_24945,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xl)))
| ( sdtpldt0(xm,sdtasdt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_17670,c_66]) ).
tcf(c_24946,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xl)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xl))) != sdtpldt0(xm,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_17670,c_67]) ).
tcf(c_24954,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xl)))
| ( sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xl)),X0) != sdtpldt0(xm,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_17671,c_66]) ).
tcf(c_24955,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xl)))
| ( sdtpldt0(xm,sdtasdt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_17671,c_67]) ).
tcf(c_24962,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xl)))
| ( sdtpldt0(xl,sdtasdt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_18489,c_66]) ).
tcf(c_24963,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xl)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xl))) != sdtpldt0(xl,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_18489,c_67]) ).
tcf(c_24971,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xl)))
| ( sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xl)),X0) != sdtpldt0(xl,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_18490,c_66]) ).
tcf(c_24972,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xl)))
| ( sdtpldt0(xl,sdtasdt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_18490,c_67]) ).
tcf(c_24977,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_8559,c_53]) ).
tcf(c_24978,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtasdt0(sdtpldt0(xl,xl),X0) != sdtasdt0(sz00,sdtpldt0(xl,xl)) ) ),
inference(superposition,[status(thm)],[c_8559,c_68]) ).
tcf(c_24983,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(xn,sdtpldt0(xl,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8560,c_71]) ).
tcf(c_24984,plain,
( ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(xn,sdtpldt0(xl,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8560,c_70]) ).
tcf(c_24985,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_8560,c_52]) ).
tcf(c_24986,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sdtpldt0(xl,xl),X0) != sdtpldt0(xn,sdtpldt0(xl,xl)) ) ),
inference(superposition,[status(thm)],[c_8560,c_66]) ).
tcf(c_24987,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(xn,sdtpldt0(xl,xl)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_8560,c_67]) ).
tcf(c_24992,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(xm,sdtpldt0(xl,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8563,c_71]) ).
tcf(c_24993,plain,
( ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(xm,sdtpldt0(xl,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8563,c_70]) ).
tcf(c_24994,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_8563,c_52]) ).
tcf(c_24995,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sdtpldt0(xl,xl),X0) != sdtpldt0(xm,sdtpldt0(xl,xl)) ) ),
inference(superposition,[status(thm)],[c_8563,c_66]) ).
tcf(c_24996,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(xm,sdtpldt0(xl,xl)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_8563,c_67]) ).
tcf(c_25001,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8566,c_71]) ).
tcf(c_25002,plain,
( ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8566,c_70]) ).
tcf(c_25003,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_8566,c_52]) ).
tcf(c_25004,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sdtpldt0(xl,xl),X0) != sdtpldt0(xl,sdtpldt0(xl,xl)) ) ),
inference(superposition,[status(thm)],[c_8566,c_66]) ).
tcf(c_25005,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(xl,sdtpldt0(xl,xl)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_8566,c_67]) ).
tcf(c_25012,plain,
( ( sdtpldt0(xl,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sz00,sdtpldt0(xl,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_8568,c_70]) ).
tcf(c_25013,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xl,xl)) ),
inference(superposition,[status(thm)],[c_8568,c_52]) ).
tcf(c_25014,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sdtpldt0(xl,xl),X0) != sdtpldt0(sz00,sdtpldt0(xl,xl)) ) ),
inference(superposition,[status(thm)],[c_8568,c_66]) ).
tcf(c_25015,plain,
! [X0: $i] :
( ( sdtpldt0(xl,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,xl))
| ( sdtpldt0(sz00,sdtpldt0(xl,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_8568,c_67]) ).
tcf(c_25023,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8827,c_68]) ).
tcf(c_25040,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8828,c_68]) ).
tcf(c_25047,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8829,c_68]) ).
tcf(c_25063,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8832,c_69]) ).
tcf(c_25070,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8833,c_69]) ).
tcf(c_25077,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8834,c_69]) ).
tcf(c_25084,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xl)))
| ( sdtpldt0(sz00,sdtasdt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_18972,c_66]) ).
tcf(c_25085,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xl)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xl))) != sdtpldt0(sz00,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_18972,c_67]) ).
tcf(c_25094,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xl)))
| ( sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xl)),X0) != sdtpldt0(sz00,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_18973,c_66]) ).
tcf(c_25095,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xl)))
| ( sdtpldt0(sz00,sdtasdt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_18973,c_67]) ).
tcf(c_25103,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xm)))
| ( sdtasdt0(sz00,sdtasdt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_19107,c_66]) ).
tcf(c_25104,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xm)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtasdt0(sz00,xm))) != sdtasdt0(sz00,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19107,c_67]) ).
tcf(c_25153,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xm)))
| ( sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xm)),X0) != sdtasdt0(sz00,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19108,c_66]) ).
tcf(c_25154,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xm)))
| ( sdtasdt0(sz00,sdtasdt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_19108,c_67]) ).
tcf(c_25168,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8837,c_68]) ).
tcf(c_25175,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8838,c_68]) ).
tcf(c_25182,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8839,c_68]) ).
tcf(c_25190,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8840,c_68]) ).
tcf(c_25198,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8842,c_69]) ).
tcf(c_25205,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8843,c_69]) ).
tcf(c_25212,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8844,c_69]) ).
tcf(c_25220,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8845,c_69]) ).
tcf(c_25226,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8970,c_68]) ).
tcf(c_25233,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8971,c_68]) ).
tcf(c_25240,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8972,c_68]) ).
tcf(c_25248,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xm)))
| ( sdtpldt0(xn,sdtasdt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_19584,c_66]) ).
tcf(c_25249,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xm)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xm))) != sdtpldt0(xn,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19584,c_67]) ).
tcf(c_25257,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xm)))
| ( sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xm)),X0) != sdtpldt0(xn,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19585,c_66]) ).
tcf(c_25258,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xm)))
| ( sdtpldt0(xn,sdtasdt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_19585,c_67]) ).
tcf(c_25265,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xm)))
| ( sdtpldt0(xm,sdtasdt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_19718,c_66]) ).
tcf(c_25266,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xm)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xm))) != sdtpldt0(xm,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19718,c_67]) ).
tcf(c_25330,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xm)))
| ( sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xm)),X0) != sdtpldt0(xm,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19719,c_66]) ).
tcf(c_25331,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xm)))
| ( sdtpldt0(xm,sdtasdt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_19719,c_67]) ).
tcf(c_25346,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8975,c_69]) ).
tcf(c_25353,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8976,c_69]) ).
tcf(c_25360,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8977,c_69]) ).
tcf(c_25374,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8980,c_68]) ).
tcf(c_25381,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8981,c_68]) ).
tcf(c_25388,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8982,c_68]) ).
tcf(c_25396,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_8983,c_68]) ).
tcf(c_25404,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8985,c_69]) ).
tcf(c_25411,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8986,c_69]) ).
tcf(c_25418,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8987,c_69]) ).
tcf(c_25425,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xm)))
| ( sdtpldt0(xl,sdtasdt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_19856,c_66]) ).
tcf(c_25426,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xm)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xm))) != sdtpldt0(xl,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19856,c_67]) ).
tcf(c_25791,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xm)))
| ( sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xm)),X0) != sdtpldt0(xl,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_19857,c_66]) ).
tcf(c_25792,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xm)))
| ( sdtpldt0(xl,sdtasdt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_19857,c_67]) ).
tcf(c_25799,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xm)))
| ( sdtpldt0(sz00,sdtasdt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_20194,c_66]) ).
tcf(c_25800,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xm)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xm))) != sdtpldt0(sz00,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_20194,c_67]) ).
tcf(c_25809,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xm)))
| ( sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xm)),X0) != sdtpldt0(sz00,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_20195,c_66]) ).
tcf(c_25810,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xm)))
| ( sdtpldt0(sz00,sdtasdt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_20195,c_67]) ).
tcf(c_25818,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_8988,c_69]) ).
tcf(c_25823,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9242,c_68]) ).
tcf(c_25829,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9243,c_68]) ).
tcf(c_25835,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9244,c_68]) ).
tcf(c_25849,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9247,c_69]) ).
tcf(c_25855,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9248,c_69]) ).
tcf(c_25861,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9249,c_69]) ).
tcf(c_25873,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9252,c_68]) ).
tcf(c_25879,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9253,c_68]) ).
tcf(c_25885,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9254,c_68]) ).
tcf(c_25894,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xn)))
| ( sdtasdt0(sz00,sdtasdt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_20246,c_66]) ).
tcf(c_25895,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xn)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtasdt0(sz00,xn))) != sdtasdt0(sz00,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20246,c_67]) ).
tcf(c_25903,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xn)))
| ( sdtpldt0(sdtasdt0(sz00,sdtasdt0(sz00,xn)),X0) != sdtasdt0(sz00,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20247,c_66]) ).
tcf(c_25904,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,xn)))
| ( sdtasdt0(sz00,sdtasdt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_20247,c_67]) ).
tcf(c_25911,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xn)))
| ( sdtpldt0(xn,sdtasdt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_20296,c_66]) ).
tcf(c_25912,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xn)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtasdt0(sz00,xn))) != sdtpldt0(xn,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20296,c_67]) ).
tcf(c_25920,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xn)))
| ( sdtpldt0(sdtpldt0(xn,sdtasdt0(sz00,xn)),X0) != sdtpldt0(xn,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20297,c_66]) ).
tcf(c_25921,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,xn)))
| ( sdtpldt0(xn,sdtasdt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_20297,c_67]) ).
tcf(c_25927,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9255,c_68]) ).
tcf(c_25934,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9257,c_69]) ).
tcf(c_25940,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9258,c_69]) ).
tcf(c_25946,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9259,c_69]) ).
tcf(c_25953,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9260,c_69]) ).
tcf(c_25959,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9389,c_68]) ).
tcf(c_25966,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9390,c_68]) ).
tcf(c_25973,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9391,c_68]) ).
tcf(c_25989,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9394,c_69]) ).
tcf(c_25996,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9395,c_69]) ).
tcf(c_26003,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9396,c_69]) ).
tcf(c_26004,plain,
aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_20318,c_102,c_101,c_3642,c_20318]) ).
tcf(c_26006,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26004,c_7192]) ).
tcf(c_26007,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26004,c_7191]) ).
tcf(c_26008,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26004,c_7190]) ).
tcf(c_26009,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26004,c_7186]) ).
tcf(c_26010,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26004,c_1856]) ).
tcf(c_26011,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26004,c_6323]) ).
tcf(c_26012,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26004,c_6322]) ).
tcf(c_26013,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26004,c_6321]) ).
tcf(c_26014,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26004,c_6317]) ).
tcf(c_26015,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26004,c_1855]) ).
tcf(c_26016,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26004,c_5582]) ).
tcf(c_26017,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26004,c_5581]) ).
tcf(c_26018,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26004,c_5580]) ).
tcf(c_26019,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26004,c_5576]) ).
tcf(c_26020,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26004,c_1843]) ).
tcf(c_26021,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26004,c_4644]) ).
tcf(c_26022,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26004,c_4643]) ).
tcf(c_26023,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26004,c_4642]) ).
tcf(c_26024,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26004,c_4638]) ).
tcf(c_26025,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26004,c_1842]) ).
tcf(c_26026,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26004,c_1890]) ).
tcf(c_26027,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26004,c_1889]) ).
tcf(c_26028,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26004,c_1888]) ).
tcf(c_26029,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26004,c_1885]) ).
tcf(c_26030,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26004,c_1868]) ).
tcf(c_26031,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))),sdtasdt0(X1,sdtasdt0(xl,sdtasdt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26004,c_65]) ).
tcf(c_26032,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0),sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X1)) = sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26004,c_64]) ).
tcf(c_26033,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26004,c_1867]) ).
tcf(c_26034,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26004,c_59]) ).
tcf(c_26035,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26004,c_55]) ).
tcf(c_26036,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26004,c_1866]) ).
tcf(c_26037,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0),sdtasdt0(xl,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26004,c_153]) ).
tcf(c_26038,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26004,c_1863]) ).
tcf(c_26039,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26004,c_58]) ).
tcf(c_26040,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26004,c_54]) ).
tcf(c_26043,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xm))) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_26004,c_57]) ).
tcf(c_26044,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),sz00) = sdtasdt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_26004,c_56]) ).
tcf(c_26054,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_20387,c_102,c_101,c_49,c_3642,c_20387]) ).
tcf(c_26057,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26054,c_7192]) ).
tcf(c_26058,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26054,c_7191]) ).
tcf(c_26059,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26054,c_7190]) ).
tcf(c_26060,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26054,c_7186]) ).
tcf(c_26061,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26054,c_1856]) ).
tcf(c_26062,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26054,c_6323]) ).
tcf(c_26063,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26054,c_6322]) ).
tcf(c_26064,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26054,c_6321]) ).
tcf(c_26065,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26054,c_6317]) ).
tcf(c_26066,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26054,c_1855]) ).
tcf(c_26067,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26054,c_5582]) ).
tcf(c_26068,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26054,c_5581]) ).
tcf(c_26069,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26054,c_5580]) ).
tcf(c_26070,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26054,c_5576]) ).
tcf(c_26071,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26054,c_1843]) ).
tcf(c_26072,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26054,c_4644]) ).
tcf(c_26073,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26054,c_4643]) ).
tcf(c_26074,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26054,c_4642]) ).
tcf(c_26075,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26054,c_4638]) ).
tcf(c_26076,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26054,c_1842]) ).
tcf(c_26077,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26054,c_1890]) ).
tcf(c_26078,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26054,c_1889]) ).
tcf(c_26079,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26054,c_1888]) ).
tcf(c_26080,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26054,c_1885]) ).
tcf(c_26081,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26054,c_1868]) ).
tcf(c_26082,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtasdt0(xl,xm))),sdtasdt0(X1,sdtasdt0(sz00,sdtasdt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26054,c_65]) ).
tcf(c_26083,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),X0),sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26054,c_64]) ).
tcf(c_26084,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26054,c_1867]) ).
tcf(c_26085,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26054,c_59]) ).
tcf(c_26086,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26054,c_55]) ).
tcf(c_26087,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26054,c_1866]) ).
tcf(c_26089,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26054,c_1863]) ).
tcf(c_26090,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26054,c_58]) ).
tcf(c_26091,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26054,c_54]) ).
tcf(c_26094,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xm))) = sdtasdt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_26054,c_57]) ).
tcf(c_26095,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_26054,c_56]) ).
tcf(c_26104,plain,
aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_20395,c_103,c_102,c_101,c_3642,c_20395]) ).
tcf(c_26106,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26104,c_7192]) ).
tcf(c_26107,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26104,c_7191]) ).
tcf(c_26108,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26104,c_7190]) ).
tcf(c_26109,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26104,c_7186]) ).
tcf(c_26110,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26104,c_1856]) ).
tcf(c_26111,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26104,c_6323]) ).
tcf(c_26112,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26104,c_6322]) ).
tcf(c_26113,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26104,c_6321]) ).
tcf(c_26114,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26104,c_6317]) ).
tcf(c_26115,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26104,c_1855]) ).
tcf(c_26116,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26104,c_5582]) ).
tcf(c_26117,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26104,c_5581]) ).
tcf(c_26118,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26104,c_5580]) ).
tcf(c_26119,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26104,c_5576]) ).
tcf(c_26120,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26104,c_1843]) ).
tcf(c_26121,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26104,c_4644]) ).
tcf(c_26122,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26104,c_4643]) ).
tcf(c_26123,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26104,c_4642]) ).
tcf(c_26124,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26104,c_4638]) ).
tcf(c_26125,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26104,c_1842]) ).
tcf(c_26126,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26104,c_1890]) ).
tcf(c_26127,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26104,c_1889]) ).
tcf(c_26128,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26104,c_1888]) ).
tcf(c_26129,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26104,c_1885]) ).
tcf(c_26130,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26104,c_1868]) ).
tcf(c_26131,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))),sdtasdt0(X1,sdtpldt0(xn,sdtasdt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26104,c_65]) ).
tcf(c_26132,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0),sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X1)) = sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26104,c_64]) ).
tcf(c_26133,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26104,c_1867]) ).
tcf(c_26134,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26104,c_59]) ).
tcf(c_26135,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26104,c_55]) ).
tcf(c_26136,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26104,c_1866]) ).
tcf(c_26137,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0),sdtpldt0(xn,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26104,c_153]) ).
tcf(c_26138,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26104,c_1863]) ).
tcf(c_26139,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26104,c_58]) ).
tcf(c_26140,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26104,c_54]) ).
tcf(c_26143,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xm))) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_26104,c_57]) ).
tcf(c_26144,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),sz00) = sdtpldt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_26104,c_56]) ).
tcf(c_26154,plain,
aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_20404,c_102,c_101,c_3642,c_20404]) ).
tcf(c_26156,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26154,c_7192]) ).
tcf(c_26157,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26154,c_7191]) ).
tcf(c_26158,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26154,c_7190]) ).
tcf(c_26159,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26154,c_7186]) ).
tcf(c_26160,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26154,c_1856]) ).
tcf(c_26161,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26154,c_6323]) ).
tcf(c_26162,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26154,c_6322]) ).
tcf(c_26163,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26154,c_6321]) ).
tcf(c_26164,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26154,c_6317]) ).
tcf(c_26165,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26154,c_1855]) ).
tcf(c_26166,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26154,c_5582]) ).
tcf(c_26167,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26154,c_5581]) ).
tcf(c_26168,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26154,c_5580]) ).
tcf(c_26169,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26154,c_5576]) ).
tcf(c_26170,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26154,c_1843]) ).
tcf(c_26171,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26154,c_4644]) ).
tcf(c_26172,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26154,c_4643]) ).
tcf(c_26173,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26154,c_4642]) ).
tcf(c_26174,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26154,c_4638]) ).
tcf(c_26175,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26154,c_1842]) ).
tcf(c_26176,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26154,c_1890]) ).
tcf(c_26177,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26154,c_1889]) ).
tcf(c_26178,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26154,c_1888]) ).
tcf(c_26179,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26154,c_1885]) ).
tcf(c_26180,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26154,c_1868]) ).
tcf(c_26181,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))),sdtasdt0(X1,sdtpldt0(xm,sdtasdt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26154,c_65]) ).
tcf(c_26182,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26154,c_64]) ).
tcf(c_26183,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26154,c_1867]) ).
tcf(c_26184,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26154,c_59]) ).
tcf(c_26185,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26154,c_55]) ).
tcf(c_26186,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26154,c_1866]) ).
tcf(c_26187,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0),sdtpldt0(xm,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26154,c_153]) ).
tcf(c_26188,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26154,c_1863]) ).
tcf(c_26189,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26154,c_58]) ).
tcf(c_26190,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26154,c_54]) ).
tcf(c_26193,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xm))) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_26154,c_57]) ).
tcf(c_26194,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),sz00) = sdtpldt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_26154,c_56]) ).
tcf(c_26217,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9399,c_68]) ).
tcf(c_26224,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9400,c_68]) ).
tcf(c_26231,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9401,c_68]) ).
tcf(c_26239,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9402,c_68]) ).
tcf(c_26247,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9404,c_69]) ).
tcf(c_26254,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9405,c_69]) ).
tcf(c_26261,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9406,c_69]) ).
tcf(c_26269,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9407,c_69]) ).
tcf(c_26274,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9605,c_68]) ).
tcf(c_26280,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9606,c_68]) ).
tcf(c_26297,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9607,c_68]) ).
tcf(c_26406,plain,
aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_20413,c_102,c_101,c_3642,c_20413]) ).
tcf(c_26408,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26406,c_7192]) ).
tcf(c_26409,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26406,c_7191]) ).
tcf(c_26410,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26406,c_7190]) ).
tcf(c_26411,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26406,c_7186]) ).
tcf(c_26412,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26406,c_1856]) ).
tcf(c_26413,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26406,c_6323]) ).
tcf(c_26414,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26406,c_6322]) ).
tcf(c_26415,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26406,c_6321]) ).
tcf(c_26416,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26406,c_6317]) ).
tcf(c_26417,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26406,c_1855]) ).
tcf(c_26418,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26406,c_5582]) ).
tcf(c_26419,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26406,c_5581]) ).
tcf(c_26420,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26406,c_5580]) ).
tcf(c_26421,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26406,c_5576]) ).
tcf(c_26422,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26406,c_1843]) ).
tcf(c_26423,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26406,c_4644]) ).
tcf(c_26424,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26406,c_4643]) ).
tcf(c_26425,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26406,c_4642]) ).
tcf(c_26426,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26406,c_4638]) ).
tcf(c_26427,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26406,c_1842]) ).
tcf(c_26428,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26406,c_1890]) ).
tcf(c_26429,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26406,c_1889]) ).
tcf(c_26430,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26406,c_1888]) ).
tcf(c_26431,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26406,c_1885]) ).
tcf(c_26432,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26406,c_1868]) ).
tcf(c_26433,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))),sdtasdt0(X1,sdtpldt0(xl,sdtasdt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26406,c_65]) ).
tcf(c_26434,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0),sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X1)) = sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26406,c_64]) ).
tcf(c_26435,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26406,c_1867]) ).
tcf(c_26436,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26406,c_59]) ).
tcf(c_26437,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26406,c_55]) ).
tcf(c_26438,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26406,c_1866]) ).
tcf(c_26439,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0),sdtpldt0(xl,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26406,c_153]) ).
tcf(c_26440,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26406,c_1863]) ).
tcf(c_26441,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26406,c_58]) ).
tcf(c_26442,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26406,c_54]) ).
tcf(c_26445,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xm))) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_26406,c_57]) ).
tcf(c_26446,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),sz00) = sdtpldt0(xl,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_26406,c_56]) ).
tcf(c_26517,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_20423,c_102,c_101,c_49,c_3642,c_20423]) ).
tcf(c_26520,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26517,c_7192]) ).
tcf(c_26521,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26517,c_7191]) ).
tcf(c_26522,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26517,c_7190]) ).
tcf(c_26523,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26517,c_7186]) ).
tcf(c_26524,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26517,c_1856]) ).
tcf(c_26525,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26517,c_6323]) ).
tcf(c_26526,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26517,c_6322]) ).
tcf(c_26527,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26517,c_6321]) ).
tcf(c_26528,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26517,c_6317]) ).
tcf(c_26529,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26517,c_1855]) ).
tcf(c_26530,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26517,c_5582]) ).
tcf(c_26531,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26517,c_5581]) ).
tcf(c_26532,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26517,c_5580]) ).
tcf(c_26533,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26517,c_5576]) ).
tcf(c_26534,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26517,c_1843]) ).
tcf(c_26535,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26517,c_4644]) ).
tcf(c_26536,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26517,c_4643]) ).
tcf(c_26537,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26517,c_4642]) ).
tcf(c_26538,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_26517,c_4638]) ).
tcf(c_26539,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26517,c_1842]) ).
tcf(c_26540,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26517,c_1890]) ).
tcf(c_26541,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26517,c_1889]) ).
tcf(c_26542,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26517,c_1888]) ).
tcf(c_26543,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26517,c_1885]) ).
tcf(c_26544,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26517,c_1868]) ).
tcf(c_26545,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xl,xm))),sdtasdt0(X1,sdtpldt0(sz00,sdtasdt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26517,c_65]) ).
tcf(c_26546,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),X0),sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26517,c_64]) ).
tcf(c_26547,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26517,c_1867]) ).
tcf(c_26548,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26517,c_59]) ).
tcf(c_26549,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26517,c_55]) ).
tcf(c_26550,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26517,c_1866]) ).
tcf(c_26551,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),X0),sdtpldt0(sz00,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26517,c_153]) ).
tcf(c_26552,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_26517,c_1863]) ).
tcf(c_26553,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26517,c_58]) ).
tcf(c_26554,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26517,c_54]) ).
tcf(c_26557,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xm))) = sdtpldt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_26517,c_57]) ).
tcf(c_26558,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_26517,c_56]) ).
tcf(c_26779,plain,
aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_20431,c_103,c_101,c_3685,c_20431]) ).
tcf(c_26781,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26779,c_7192]) ).
tcf(c_26782,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26779,c_7191]) ).
tcf(c_26783,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26779,c_7190]) ).
tcf(c_26784,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26779,c_7186]) ).
tcf(c_26785,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26779,c_1856]) ).
tcf(c_26786,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26779,c_6323]) ).
tcf(c_26787,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26779,c_6322]) ).
tcf(c_26788,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26779,c_6321]) ).
tcf(c_26789,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26779,c_6317]) ).
tcf(c_26790,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26779,c_1855]) ).
tcf(c_26791,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26779,c_5582]) ).
tcf(c_26792,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26779,c_5581]) ).
tcf(c_26793,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26779,c_5580]) ).
tcf(c_26794,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26779,c_5576]) ).
tcf(c_26795,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26779,c_1843]) ).
tcf(c_26796,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26779,c_4644]) ).
tcf(c_26797,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26779,c_4643]) ).
tcf(c_26798,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26779,c_4642]) ).
tcf(c_26799,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26779,c_4638]) ).
tcf(c_26800,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26779,c_1842]) ).
tcf(c_26801,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26779,c_1890]) ).
tcf(c_26802,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26779,c_1889]) ).
tcf(c_26803,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26779,c_1888]) ).
tcf(c_26804,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26779,c_1885]) ).
tcf(c_26805,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26779,c_1868]) ).
tcf(c_26806,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xn))),sdtasdt0(X1,sdtasdt0(xl,sdtasdt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26779,c_65]) ).
tcf(c_26807,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),X0),sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),X1)) = sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26779,c_64]) ).
tcf(c_26808,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26779,c_1867]) ).
tcf(c_26809,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26779,c_59]) ).
tcf(c_26810,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26779,c_55]) ).
tcf(c_26811,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26779,c_1866]) ).
tcf(c_26812,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),X0),sdtasdt0(xl,sdtasdt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26779,c_153]) ).
tcf(c_26813,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26779,c_1863]) ).
tcf(c_26814,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,xn)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26779,c_58]) ).
tcf(c_26815,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26779,c_54]) ).
tcf(c_26818,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xl,xn))) = sdtasdt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_26779,c_57]) ).
tcf(c_26819,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),sz00) = sdtasdt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_26779,c_56]) ).
tcf(c_26982,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_20440,c_103,c_101,c_49,c_3685,c_20440]) ).
tcf(c_26985,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26982,c_7192]) ).
tcf(c_26986,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26982,c_7191]) ).
tcf(c_26987,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26982,c_7190]) ).
tcf(c_26988,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26982,c_7186]) ).
tcf(c_26989,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26982,c_1856]) ).
tcf(c_26990,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26982,c_6323]) ).
tcf(c_26991,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26982,c_6322]) ).
tcf(c_26992,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26982,c_6321]) ).
tcf(c_26993,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26982,c_6317]) ).
tcf(c_26994,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26982,c_1855]) ).
tcf(c_26995,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26982,c_5582]) ).
tcf(c_26996,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26982,c_5581]) ).
tcf(c_26997,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26982,c_5580]) ).
tcf(c_26998,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_26982,c_5576]) ).
tcf(c_26999,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26982,c_1843]) ).
tcf(c_27000,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26982,c_4644]) ).
tcf(c_27001,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26982,c_4643]) ).
tcf(c_27002,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26982,c_4642]) ).
tcf(c_27003,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_26982,c_4638]) ).
tcf(c_27004,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26982,c_1842]) ).
tcf(c_27005,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26982,c_1890]) ).
tcf(c_27006,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26982,c_1889]) ).
tcf(c_27007,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26982,c_1888]) ).
tcf(c_27008,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26982,c_1885]) ).
tcf(c_27009,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26982,c_1868]) ).
tcf(c_27010,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtasdt0(xl,xn))),sdtasdt0(X1,sdtasdt0(sz00,sdtasdt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26982,c_65]) ).
tcf(c_27011,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),X0),sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26982,c_64]) ).
tcf(c_27012,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26982,c_1867]) ).
tcf(c_27013,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26982,c_59]) ).
tcf(c_27014,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26982,c_55]) ).
tcf(c_27015,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26982,c_1866]) ).
tcf(c_27017,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_26982,c_1863]) ).
tcf(c_27018,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26982,c_58]) ).
tcf(c_27019,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_26982,c_54]) ).
tcf(c_27022,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,xn))) = sdtasdt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_26982,c_57]) ).
tcf(c_27023,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_26982,c_56]) ).
tcf(c_27044,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9610,c_69]) ).
tcf(c_27050,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9611,c_69]) ).
tcf(c_27056,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9612,c_69]) ).
tcf(c_27068,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9615,c_68]) ).
tcf(c_27074,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9616,c_68]) ).
tcf(c_27080,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9617,c_68]) ).
tcf(c_27087,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9618,c_68]) ).
tcf(c_27094,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9620,c_69]) ).
tcf(c_27100,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9621,c_69]) ).
tcf(c_27106,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9622,c_69]) ).
tcf(c_27107,plain,
aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_20448,c_103,c_101,c_3685,c_20448]) ).
tcf(c_27109,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27107,c_7192]) ).
tcf(c_27110,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27107,c_7191]) ).
tcf(c_27111,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27107,c_7190]) ).
tcf(c_27112,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27107,c_7186]) ).
tcf(c_27113,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27107,c_1856]) ).
tcf(c_27114,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27107,c_6323]) ).
tcf(c_27115,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27107,c_6322]) ).
tcf(c_27116,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27107,c_6321]) ).
tcf(c_27117,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27107,c_6317]) ).
tcf(c_27118,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27107,c_1855]) ).
tcf(c_27119,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27107,c_5582]) ).
tcf(c_27120,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27107,c_5581]) ).
tcf(c_27121,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27107,c_5580]) ).
tcf(c_27122,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27107,c_5576]) ).
tcf(c_27123,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27107,c_1843]) ).
tcf(c_27124,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27107,c_4644]) ).
tcf(c_27125,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27107,c_4643]) ).
tcf(c_27126,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27107,c_4642]) ).
tcf(c_27127,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27107,c_4638]) ).
tcf(c_27128,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27107,c_1842]) ).
tcf(c_27129,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27107,c_1890]) ).
tcf(c_27130,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27107,c_1889]) ).
tcf(c_27131,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27107,c_1888]) ).
tcf(c_27132,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27107,c_1885]) ).
tcf(c_27133,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27107,c_1868]) ).
tcf(c_27134,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xn))),sdtasdt0(X1,sdtpldt0(xn,sdtasdt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27107,c_65]) ).
tcf(c_27135,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),X0),sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),X1)) = sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27107,c_64]) ).
tcf(c_27136,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27107,c_1867]) ).
tcf(c_27137,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27107,c_59]) ).
tcf(c_27138,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xn)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27107,c_55]) ).
tcf(c_27139,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27107,c_1866]) ).
tcf(c_27140,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),X0),sdtpldt0(xn,sdtasdt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27107,c_153]) ).
tcf(c_27141,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27107,c_1863]) ).
tcf(c_27142,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27107,c_58]) ).
tcf(c_27143,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27107,c_54]) ).
tcf(c_27146,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xl,xn))) = sdtpldt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_27107,c_57]) ).
tcf(c_27147,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xn)),sz00) = sdtpldt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_27107,c_56]) ).
tcf(c_27373,plain,
aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_20457,c_103,c_102,c_101,c_3685,c_20457]) ).
tcf(c_27375,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27373,c_7192]) ).
tcf(c_27376,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27373,c_7191]) ).
tcf(c_27377,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27373,c_7190]) ).
tcf(c_27378,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27373,c_7186]) ).
tcf(c_27379,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27373,c_1856]) ).
tcf(c_27380,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27373,c_6323]) ).
tcf(c_27381,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27373,c_6322]) ).
tcf(c_27382,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27373,c_6321]) ).
tcf(c_27383,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27373,c_6317]) ).
tcf(c_27384,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27373,c_1855]) ).
tcf(c_27385,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27373,c_5582]) ).
tcf(c_27386,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27373,c_5581]) ).
tcf(c_27387,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27373,c_5580]) ).
tcf(c_27388,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27373,c_5576]) ).
tcf(c_27389,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27373,c_1843]) ).
tcf(c_27390,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27373,c_4644]) ).
tcf(c_27391,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27373,c_4643]) ).
tcf(c_27392,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27373,c_4642]) ).
tcf(c_27393,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27373,c_4638]) ).
tcf(c_27394,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27373,c_1842]) ).
tcf(c_27395,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27373,c_1890]) ).
tcf(c_27396,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27373,c_1889]) ).
tcf(c_27397,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27373,c_1888]) ).
tcf(c_27398,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27373,c_1885]) ).
tcf(c_27399,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27373,c_1868]) ).
tcf(c_27400,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xn))),sdtasdt0(X1,sdtpldt0(xm,sdtasdt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27373,c_65]) ).
tcf(c_27401,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27373,c_64]) ).
tcf(c_27402,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27373,c_1867]) ).
tcf(c_27403,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27373,c_59]) ).
tcf(c_27404,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xn)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27373,c_55]) ).
tcf(c_27405,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27373,c_1866]) ).
tcf(c_27406,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),X0),sdtpldt0(xm,sdtasdt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27373,c_153]) ).
tcf(c_27407,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27373,c_1863]) ).
tcf(c_27408,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27373,c_58]) ).
tcf(c_27409,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27373,c_54]) ).
tcf(c_27412,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xl,xn))) = sdtpldt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_27373,c_57]) ).
tcf(c_27413,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xn)),sz00) = sdtpldt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_27373,c_56]) ).
tcf(c_27621,plain,
aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_20466,c_103,c_101,c_3685,c_20466]) ).
tcf(c_27623,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27621,c_7192]) ).
tcf(c_27624,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27621,c_7191]) ).
tcf(c_27625,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27621,c_7190]) ).
tcf(c_27626,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27621,c_7186]) ).
tcf(c_27627,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27621,c_1856]) ).
tcf(c_27628,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27621,c_6323]) ).
tcf(c_27629,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27621,c_6322]) ).
tcf(c_27630,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27621,c_6321]) ).
tcf(c_27631,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27621,c_6317]) ).
tcf(c_27632,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27621,c_1855]) ).
tcf(c_27633,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27621,c_5582]) ).
tcf(c_27634,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27621,c_5581]) ).
tcf(c_27635,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27621,c_5580]) ).
tcf(c_27636,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_27621,c_5576]) ).
tcf(c_27637,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27621,c_1843]) ).
tcf(c_27638,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27621,c_4644]) ).
tcf(c_27639,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27621,c_4643]) ).
tcf(c_27640,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27621,c_4642]) ).
tcf(c_27641,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_27621,c_4638]) ).
tcf(c_27642,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27621,c_1842]) ).
tcf(c_27643,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27621,c_1890]) ).
tcf(c_27644,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27621,c_1889]) ).
tcf(c_27645,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27621,c_1888]) ).
tcf(c_27646,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27621,c_1885]) ).
tcf(c_27647,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27621,c_1868]) ).
tcf(c_27648,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xn))),sdtasdt0(X1,sdtpldt0(xl,sdtasdt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27621,c_65]) ).
tcf(c_27649,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),X0),sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),X1)) = sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27621,c_64]) ).
tcf(c_27650,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27621,c_1867]) ).
tcf(c_27651,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27621,c_59]) ).
tcf(c_27652,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xn)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27621,c_55]) ).
tcf(c_27653,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27621,c_1866]) ).
tcf(c_27654,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),X0),sdtpldt0(xl,sdtasdt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27621,c_153]) ).
tcf(c_27655,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_27621,c_1863]) ).
tcf(c_27656,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27621,c_58]) ).
tcf(c_27657,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_27621,c_54]) ).
tcf(c_27660,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xl,xn))) = sdtpldt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_27621,c_57]) ).
tcf(c_27661,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xn)),sz00) = sdtpldt0(xl,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_27621,c_56]) ).
tcf(c_28158,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xn)))
| ( sdtpldt0(xm,sdtasdt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_20511,c_66]) ).
tcf(c_28159,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xn)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(sz00,xn))) != sdtpldt0(xm,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20511,c_67]) ).
tcf(c_28292,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9623,c_69]) ).
tcf(c_28298,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9779,c_68]) ).
tcf(c_28305,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9780,c_68]) ).
tcf(c_28312,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9781,c_68]) ).
tcf(c_28328,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9784,c_69]) ).
tcf(c_28335,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9785,c_69]) ).
tcf(c_28342,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9786,c_69]) ).
tcf(c_28356,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9789,c_68]) ).
tcf(c_28363,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9790,c_68]) ).
tcf(c_28370,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9791,c_68]) ).
tcf(c_28378,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xn)))
| ( sdtpldt0(sdtpldt0(xm,sdtasdt0(sz00,xn)),X0) != sdtpldt0(xm,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20512,c_66]) ).
tcf(c_28379,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,xn)))
| ( sdtpldt0(xm,sdtasdt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_20512,c_67]) ).
tcf(c_28386,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xn)))
| ( sdtpldt0(xl,sdtasdt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_20676,c_66]) ).
tcf(c_28387,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xn)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(sz00,xn))) != sdtpldt0(xl,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20676,c_67]) ).
tcf(c_28395,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xn)))
| ( sdtpldt0(sdtpldt0(xl,sdtasdt0(sz00,xn)),X0) != sdtpldt0(xl,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20677,c_66]) ).
tcf(c_28396,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,xn)))
| ( sdtpldt0(xl,sdtasdt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_20677,c_67]) ).
tcf(c_28424,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xn)))
| ( sdtpldt0(sz00,sdtasdt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_20794,c_66]) ).
tcf(c_28425,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xn)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,xn))) != sdtpldt0(sz00,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20794,c_67]) ).
tcf(c_28433,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_9792,c_68]) ).
tcf(c_28441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9794,c_69]) ).
tcf(c_28448,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9795,c_69]) ).
tcf(c_28455,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9796,c_69]) ).
tcf(c_28463,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_9797,c_69]) ).
tcf(c_28469,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10034,c_68]) ).
tcf(c_28476,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10035,c_68]) ).
tcf(c_28483,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10036,c_68]) ).
tcf(c_28520,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10039,c_69]) ).
tcf(c_28527,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10040,c_69]) ).
tcf(c_28534,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10041,c_69]) ).
tcf(c_28542,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xn)))
| ( sdtpldt0(sdtpldt0(sz00,sdtasdt0(sz00,xn)),X0) != sdtpldt0(sz00,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_20795,c_66]) ).
tcf(c_28543,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,xn)))
| ( sdtpldt0(sz00,sdtasdt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_20795,c_67]) ).
tcf(c_28544,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_20945,c_103,c_101,c_49,c_3685,c_20945]) ).
tcf(c_28547,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28544,c_7192]) ).
tcf(c_28548,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28544,c_7191]) ).
tcf(c_28549,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28544,c_7190]) ).
tcf(c_28550,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28544,c_7186]) ).
tcf(c_28551,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28544,c_1856]) ).
tcf(c_28552,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28544,c_6323]) ).
tcf(c_28553,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28544,c_6322]) ).
tcf(c_28554,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28544,c_6321]) ).
tcf(c_28555,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28544,c_6317]) ).
tcf(c_28556,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28544,c_1855]) ).
tcf(c_28557,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28544,c_5582]) ).
tcf(c_28558,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28544,c_5581]) ).
tcf(c_28559,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28544,c_5580]) ).
tcf(c_28560,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28544,c_5576]) ).
tcf(c_28561,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28544,c_1843]) ).
tcf(c_28562,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28544,c_4644]) ).
tcf(c_28563,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28544,c_4643]) ).
tcf(c_28564,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28544,c_4642]) ).
tcf(c_28565,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28544,c_4638]) ).
tcf(c_28566,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28544,c_1842]) ).
tcf(c_28567,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_28544,c_1890]) ).
tcf(c_28568,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_28544,c_1889]) ).
tcf(c_28569,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_28544,c_1888]) ).
tcf(c_28570,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_28544,c_1885]) ).
tcf(c_28571,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_28544,c_1868]) ).
tcf(c_28572,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xl,xn))),sdtasdt0(X1,sdtpldt0(sz00,sdtasdt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28544,c_65]) ).
tcf(c_28573,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),X0),sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28544,c_64]) ).
tcf(c_28574,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_28544,c_1867]) ).
tcf(c_28575,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28544,c_59]) ).
tcf(c_28576,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28544,c_55]) ).
tcf(c_28577,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_28544,c_1866]) ).
tcf(c_28578,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),X0),sdtpldt0(sz00,sdtasdt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28544,c_153]) ).
tcf(c_28579,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_28544,c_1863]) ).
tcf(c_28580,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28544,c_58]) ).
tcf(c_28581,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28544,c_54]) ).
tcf(c_28584,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,xn))) = sdtpldt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_28544,c_57]) ).
tcf(c_28585,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_28544,c_56]) ).
tcf(c_28682,plain,
aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_20953,c_103,c_102,c_1980,c_20953]) ).
tcf(c_28684,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28682,c_7192]) ).
tcf(c_28685,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28682,c_7191]) ).
tcf(c_28686,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28682,c_7190]) ).
tcf(c_28687,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28682,c_7186]) ).
tcf(c_28688,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28682,c_1856]) ).
tcf(c_28689,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28682,c_6323]) ).
tcf(c_28690,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28682,c_6322]) ).
tcf(c_28691,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28682,c_6321]) ).
tcf(c_28692,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28682,c_6317]) ).
tcf(c_28693,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28682,c_1855]) ).
tcf(c_28694,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28682,c_5582]) ).
tcf(c_28695,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28682,c_5581]) ).
tcf(c_28696,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28682,c_5580]) ).
tcf(c_28697,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28682,c_5576]) ).
tcf(c_28698,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28682,c_1843]) ).
tcf(c_28699,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28682,c_4644]) ).
tcf(c_28700,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28682,c_4643]) ).
tcf(c_28701,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28682,c_4642]) ).
tcf(c_28702,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_28682,c_4638]) ).
tcf(c_28703,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28682,c_1842]) ).
tcf(c_28704,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_28682,c_1890]) ).
tcf(c_28705,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_28682,c_1889]) ).
tcf(c_28706,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_28682,c_1888]) ).
tcf(c_28707,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_28682,c_1885]) ).
tcf(c_28708,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xn)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_28682,c_1868]) ).
tcf(c_28709,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,xn))),sdtasdt0(X1,sdtasdt0(xm,sdtpldt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28682,c_65]) ).
tcf(c_28710,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28682,c_64]) ).
tcf(c_28711,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_28682,c_1867]) ).
tcf(c_28712,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28682,c_59]) ).
tcf(c_28713,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xn)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28682,c_55]) ).
tcf(c_28714,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xn)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_28682,c_1866]) ).
tcf(c_28715,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),X0),sdtasdt0(xm,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28682,c_153]) ).
tcf(c_28716,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_28682,c_1863]) ).
tcf(c_28717,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xn)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28682,c_58]) ).
tcf(c_28718,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28682,c_54]) ).
tcf(c_28721,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xn))) = sdtasdt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_28682,c_57]) ).
tcf(c_28722,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xn)),sz00) = sdtasdt0(xm,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_28682,c_56]) ).
tcf(c_28876,plain,
aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_20962,c_102,c_101,c_49,c_1927,c_20962]) ).
tcf(c_28878,plain,
aNaturalNumber0(sdtasdt0(xm,xl)),
inference(superposition,[status(thm)],[c_1824,c_28876]) ).
tcf(c_28879,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28876,c_7192]) ).
tcf(c_28880,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28876,c_7191]) ).
tcf(c_28881,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28876,c_7190]) ).
tcf(c_28882,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28876,c_7186]) ).
tcf(c_28883,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28876,c_1856]) ).
tcf(c_28884,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_28876,c_6323]) ).
tcf(c_28885,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_28876,c_6322]) ).
tcf(c_28886,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_28876,c_6321]) ).
tcf(c_28887,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_28876,c_6317]) ).
tcf(c_28888,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28876,c_1855]) ).
tcf(c_28889,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28876,c_5582]) ).
tcf(c_28890,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28876,c_5581]) ).
tcf(c_28891,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28876,c_5580]) ).
tcf(c_28892,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_28876,c_5576]) ).
tcf(c_28893,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28876,c_1843]) ).
tcf(c_28894,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_28876,c_4644]) ).
tcf(c_28895,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_28876,c_4643]) ).
tcf(c_28896,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_28876,c_4642]) ).
tcf(c_28897,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_28876,c_4638]) ).
tcf(c_28898,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28876,c_1842]) ).
tcf(c_28899,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_28876,c_1890]) ).
tcf(c_28900,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_28876,c_1889]) ).
tcf(c_28901,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_28876,c_1888]) ).
tcf(c_28902,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_28876,c_1885]) ).
tcf(c_28903,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_28876,c_1868]) ).
tcf(c_28904,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xl))),sdtasdt0(X1,sdtasdt0(xm,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28876,c_65]) ).
tcf(c_28905,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28876,c_64]) ).
tcf(c_28906,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_28876,c_1867]) ).
tcf(c_28907,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28876,c_59]) ).
tcf(c_28908,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28876,c_55]) ).
tcf(c_28909,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_28876,c_1866]) ).
tcf(c_28910,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),X0),sdtasdt0(xm,sdtpldt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28876,c_153]) ).
tcf(c_28911,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_28876,c_1863]) ).
tcf(c_28912,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28876,c_58]) ).
tcf(c_28913,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28876,c_54]) ).
tcf(c_28916,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xl))) = sdtasdt0(xm,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_28876,c_57]) ).
tcf(c_28917,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(xm,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_28876,c_56]) ).
tcf(c_29214,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28878,c_7192]) ).
tcf(c_29215,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28878,c_7191]) ).
tcf(c_29216,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28878,c_7190]) ).
tcf(c_29217,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28878,c_7186]) ).
tcf(c_29218,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28878,c_1856]) ).
tcf(c_29219,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_28878,c_6323]) ).
tcf(c_29220,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_28878,c_6322]) ).
tcf(c_29221,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_28878,c_6321]) ).
tcf(c_29222,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_28878,c_6317]) ).
tcf(c_29223,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28878,c_1855]) ).
tcf(c_29224,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28878,c_5582]) ).
tcf(c_29225,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28878,c_5581]) ).
tcf(c_29226,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28878,c_5580]) ).
tcf(c_29227,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_28878,c_5576]) ).
tcf(c_29228,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28878,c_1843]) ).
tcf(c_29229,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_28878,c_4644]) ).
tcf(c_29230,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_28878,c_4643]) ).
tcf(c_29231,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_28878,c_4642]) ).
tcf(c_29232,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xl))) = sz00,
inference(superposition,[status(thm)],[c_28878,c_4638]) ).
tcf(c_29233,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28878,c_1842]) ).
tcf(c_29234,plain,
sdtasdt0(sdtasdt0(xm,xl),xn) = sdtasdt0(xn,sdtasdt0(xm,xl)),
inference(superposition,[status(thm)],[c_28878,c_1890]) ).
tcf(c_29235,plain,
sdtasdt0(sdtasdt0(xm,xl),xm) = sdtasdt0(xm,sdtasdt0(xm,xl)),
inference(superposition,[status(thm)],[c_28878,c_1889]) ).
tcf(c_29236,plain,
sdtasdt0(sdtasdt0(xm,xl),xl) = sdtasdt0(xl,sdtasdt0(xm,xl)),
inference(superposition,[status(thm)],[c_28878,c_1888]) ).
tcf(c_29237,plain,
sdtasdt0(sdtasdt0(xm,xl),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xl)),
inference(superposition,[status(thm)],[c_28878,c_1885]) ).
tcf(c_29238,plain,
sdtpldt0(sdtasdt0(xm,xl),xn) = sdtpldt0(xn,sdtasdt0(xm,xl)),
inference(superposition,[status(thm)],[c_28878,c_1868]) ).
tcf(c_29239,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,xl)),sdtasdt0(X1,sdtasdt0(xm,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28878,c_65]) ).
tcf(c_29240,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,xl),X0),sdtasdt0(sdtasdt0(xm,xl),X1)) = sdtasdt0(sdtasdt0(xm,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28878,c_64]) ).
tcf(c_29241,plain,
sdtpldt0(sdtasdt0(xm,xl),xm) = sdtpldt0(xm,sdtasdt0(xm,xl)),
inference(superposition,[status(thm)],[c_28878,c_1867]) ).
tcf(c_29242,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,xl),X0),X1) = sdtasdt0(sdtasdt0(xm,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28878,c_59]) ).
tcf(c_29243,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,xl),X0),X1) = sdtpldt0(sdtasdt0(xm,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28878,c_55]) ).
tcf(c_29244,plain,
sdtpldt0(sdtasdt0(xm,xl),xl) = sdtpldt0(xl,sdtasdt0(xm,xl)),
inference(superposition,[status(thm)],[c_28878,c_1866]) ).
tcf(c_29245,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,xl),X0),sdtasdt0(xm,xl)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28878,c_153]) ).
tcf(c_29246,plain,
sdtpldt0(sdtasdt0(xm,xl),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xl)),
inference(superposition,[status(thm)],[c_28878,c_1863]) ).
tcf(c_29247,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,xl),X0) = sdtasdt0(X0,sdtasdt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28878,c_58]) ).
tcf(c_29248,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,xl),X0) = sdtpldt0(X0,sdtasdt0(xm,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_28878,c_54]) ).
tcf(c_29251,plain,
sdtpldt0(sz00,sdtasdt0(xm,xl)) = sdtasdt0(xm,xl),
inference(superposition,[status(thm)],[c_28878,c_57]) ).
tcf(c_29252,plain,
sdtpldt0(sdtasdt0(xm,xl),sz00) = sdtasdt0(xm,xl),
inference(superposition,[status(thm)],[c_28878,c_56]) ).
tcf(c_29434,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,xl)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_29214,c_68]) ).
tcf(c_29441,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,xl)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_29215,c_68]) ).
tcf(c_29448,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,xl)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_29216,c_68]) ).
tcf(c_29479,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,xl)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_29219,c_69]) ).
tcf(c_29486,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,xl)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_29220,c_69]) ).
tcf(c_29493,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,xl)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_29221,c_69]) ).
tcf(c_29507,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_29224,c_68]) ).
tcf(c_29514,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_29225,c_68]) ).
tcf(c_29565,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_29226,c_68]) ).
tcf(c_29593,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_29251,c_66]) ).
tcf(c_29594,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_29251,c_67]) ).
tcf(c_29602,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_29252,c_66]) ).
tcf(c_29603,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_29252,c_67]) ).
tcf(c_29623,plain,
aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_21018,c_102,c_49,c_1930,c_21018]) ).
tcf(c_29625,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(superposition,[status(thm)],[c_1825,c_29623]) ).
tcf(c_29626,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29623,c_7192]) ).
tcf(c_29627,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29623,c_7191]) ).
tcf(c_29628,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29623,c_7190]) ).
tcf(c_29629,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29623,c_7186]) ).
tcf(c_29630,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29623,c_1856]) ).
tcf(c_29631,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_29623,c_6323]) ).
tcf(c_29632,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_29623,c_6322]) ).
tcf(c_29633,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_29623,c_6321]) ).
tcf(c_29634,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_29623,c_6317]) ).
tcf(c_29635,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29623,c_1855]) ).
tcf(c_29636,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29623,c_5582]) ).
tcf(c_29637,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29623,c_5581]) ).
tcf(c_29638,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29623,c_5580]) ).
tcf(c_29639,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29623,c_5576]) ).
tcf(c_29640,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29623,c_1843]) ).
tcf(c_29641,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_29623,c_4644]) ).
tcf(c_29642,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_29623,c_4643]) ).
tcf(c_29643,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_29623,c_4642]) ).
tcf(c_29644,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_29623,c_4638]) ).
tcf(c_29645,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29623,c_1842]) ).
tcf(c_29646,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_29623,c_1890]) ).
tcf(c_29647,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_29623,c_1889]) ).
tcf(c_29648,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_29623,c_1888]) ).
tcf(c_29649,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_29623,c_1885]) ).
tcf(c_29650,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_29623,c_1868]) ).
tcf(c_29651,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xm))),sdtasdt0(X1,sdtasdt0(xm,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29623,c_65]) ).
tcf(c_29652,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29623,c_64]) ).
tcf(c_29653,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_29623,c_1867]) ).
tcf(c_29654,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29623,c_59]) ).
tcf(c_29655,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29623,c_55]) ).
tcf(c_29656,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_29623,c_1866]) ).
tcf(c_29657,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),X0),sdtasdt0(xm,sdtpldt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29623,c_153]) ).
tcf(c_29658,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_29623,c_1863]) ).
tcf(c_29659,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29623,c_58]) ).
tcf(c_29660,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29623,c_54]) ).
tcf(c_29663,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xm))) = sdtasdt0(xm,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_29623,c_57]) ).
tcf(c_29664,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(xm,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_29623,c_56]) ).
tcf(c_29929,plain,
aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_21027,c_103,c_102,c_49,c_1933,c_21027]) ).
tcf(c_29932,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29929,c_7192]) ).
tcf(c_29933,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29929,c_7191]) ).
tcf(c_29934,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29929,c_7190]) ).
tcf(c_29935,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29929,c_7186]) ).
tcf(c_29936,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29929,c_1856]) ).
tcf(c_29937,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_29929,c_6323]) ).
tcf(c_29938,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_29929,c_6322]) ).
tcf(c_29939,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_29929,c_6321]) ).
tcf(c_29940,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_29929,c_6317]) ).
tcf(c_29941,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29929,c_1855]) ).
tcf(c_29942,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29929,c_5582]) ).
tcf(c_29943,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29929,c_5581]) ).
tcf(c_29944,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29929,c_5580]) ).
tcf(c_29945,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_29929,c_5576]) ).
tcf(c_29946,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29929,c_1843]) ).
tcf(c_29947,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_29929,c_4644]) ).
tcf(c_29948,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_29929,c_4643]) ).
tcf(c_29949,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_29929,c_4642]) ).
tcf(c_29950,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_29929,c_4638]) ).
tcf(c_29951,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29929,c_1842]) ).
tcf(c_29952,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_29929,c_1890]) ).
tcf(c_29953,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_29929,c_1889]) ).
tcf(c_29954,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_29929,c_1888]) ).
tcf(c_29955,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_29929,c_1885]) ).
tcf(c_29956,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_29929,c_1868]) ).
tcf(c_29957,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xn))),sdtasdt0(X1,sdtasdt0(xm,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29929,c_65]) ).
tcf(c_29958,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29929,c_64]) ).
tcf(c_29959,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_29929,c_1867]) ).
tcf(c_29960,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29929,c_59]) ).
tcf(c_29961,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29929,c_55]) ).
tcf(c_29962,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_29929,c_1866]) ).
tcf(c_29963,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),X0),sdtasdt0(xm,sdtpldt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29929,c_153]) ).
tcf(c_29964,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_29929,c_1863]) ).
tcf(c_29965,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29929,c_58]) ).
tcf(c_29966,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29929,c_54]) ).
tcf(c_29969,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,xn))) = sdtasdt0(xm,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_29929,c_57]) ).
tcf(c_29970,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(xm,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_29929,c_56]) ).
tcf(c_30179,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_29625,c_7192]) ).
tcf(c_30180,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_29625,c_7191]) ).
tcf(c_30181,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_29625,c_7190]) ).
tcf(c_30182,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_29625,c_7186]) ).
tcf(c_30183,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29625,c_1856]) ).
tcf(c_30184,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_29625,c_6323]) ).
tcf(c_30185,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_29625,c_6322]) ).
tcf(c_30186,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_29625,c_6321]) ).
tcf(c_30187,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_29625,c_6317]) ).
tcf(c_30188,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29625,c_1855]) ).
tcf(c_30189,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_29625,c_5582]) ).
tcf(c_30190,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_29625,c_5581]) ).
tcf(c_30191,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_29625,c_5580]) ).
tcf(c_30192,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_29625,c_5576]) ).
tcf(c_30193,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29625,c_1843]) ).
tcf(c_30194,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_29625,c_4644]) ).
tcf(c_30195,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_29625,c_4643]) ).
tcf(c_30196,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_29625,c_4642]) ).
tcf(c_30197,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xm))) = sz00,
inference(superposition,[status(thm)],[c_29625,c_4638]) ).
tcf(c_30198,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29625,c_1842]) ).
tcf(c_30199,plain,
sdtasdt0(sdtasdt0(xm,xm),xn) = sdtasdt0(xn,sdtasdt0(xm,xm)),
inference(superposition,[status(thm)],[c_29625,c_1890]) ).
tcf(c_30200,plain,
sdtasdt0(sdtasdt0(xm,xm),xm) = sdtasdt0(xm,sdtasdt0(xm,xm)),
inference(superposition,[status(thm)],[c_29625,c_1889]) ).
tcf(c_30201,plain,
sdtasdt0(sdtasdt0(xm,xm),xl) = sdtasdt0(xl,sdtasdt0(xm,xm)),
inference(superposition,[status(thm)],[c_29625,c_1888]) ).
tcf(c_30202,plain,
sdtasdt0(sdtasdt0(xm,xm),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xm)),
inference(superposition,[status(thm)],[c_29625,c_1885]) ).
tcf(c_30203,plain,
sdtpldt0(sdtasdt0(xm,xm),xn) = sdtpldt0(xn,sdtasdt0(xm,xm)),
inference(superposition,[status(thm)],[c_29625,c_1868]) ).
tcf(c_30204,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,xm)),sdtasdt0(X1,sdtasdt0(xm,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29625,c_65]) ).
tcf(c_30205,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,xm),X0),sdtasdt0(sdtasdt0(xm,xm),X1)) = sdtasdt0(sdtasdt0(xm,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29625,c_64]) ).
tcf(c_30206,plain,
sdtpldt0(sdtasdt0(xm,xm),xm) = sdtpldt0(xm,sdtasdt0(xm,xm)),
inference(superposition,[status(thm)],[c_29625,c_1867]) ).
tcf(c_30207,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,xm),X0),X1) = sdtasdt0(sdtasdt0(xm,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29625,c_59]) ).
tcf(c_30208,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,xm),X0),X1) = sdtpldt0(sdtasdt0(xm,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29625,c_55]) ).
tcf(c_30209,plain,
sdtpldt0(sdtasdt0(xm,xm),xl) = sdtpldt0(xl,sdtasdt0(xm,xm)),
inference(superposition,[status(thm)],[c_29625,c_1866]) ).
tcf(c_30210,plain,
! [X0: $i] :
( ( sdtasdt0(xm,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,xm),X0),sdtasdt0(xm,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29625,c_153]) ).
tcf(c_30211,plain,
sdtpldt0(sdtasdt0(xm,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xm)),
inference(superposition,[status(thm)],[c_29625,c_1863]) ).
tcf(c_30212,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,xm),X0) = sdtasdt0(X0,sdtasdt0(xm,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29625,c_58]) ).
tcf(c_30213,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,xm),X0) = sdtpldt0(X0,sdtasdt0(xm,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_29625,c_54]) ).
tcf(c_30216,plain,
sdtpldt0(sz00,sdtasdt0(xm,xm)) = sdtasdt0(xm,xm),
inference(superposition,[status(thm)],[c_29625,c_57]) ).
tcf(c_30217,plain,
sdtpldt0(sdtasdt0(xm,xm),sz00) = sdtasdt0(xm,xm),
inference(superposition,[status(thm)],[c_29625,c_56]) ).
tcf(c_30301,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xl)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_29227,c_68]) ).
tcf(c_30309,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_29229,c_69]) ).
tcf(c_30316,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_29230,c_69]) ).
tcf(c_30323,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xm,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,xl)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xm,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_29231,c_69]) ).
tcf(c_30331,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_29232,c_69]) ).
tcf(c_30354,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,xm)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_30179,c_68]) ).
tcf(c_30360,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,xm)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_30180,c_68]) ).
tcf(c_30366,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,xm)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_30181,c_68]) ).
tcf(c_30380,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,xm)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_30184,c_69]) ).
tcf(c_30386,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,xm)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_30185,c_69]) ).
tcf(c_30392,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_30216,c_66]) ).
tcf(c_30393,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_30216,c_67]) ).
tcf(c_30418,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_30217,c_66]) ).
tcf(c_30419,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_30217,c_67]) ).
tcf(c_30420,plain,
aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_21035,c_102,c_101,c_2131,c_21035]) ).
tcf(c_30422,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30420,c_7192]) ).
tcf(c_30423,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30420,c_7191]) ).
tcf(c_30424,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30420,c_7190]) ).
tcf(c_30425,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30420,c_7186]) ).
tcf(c_30426,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30420,c_1856]) ).
tcf(c_30427,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_30420,c_6323]) ).
tcf(c_30428,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_30420,c_6322]) ).
tcf(c_30429,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_30420,c_6321]) ).
tcf(c_30430,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_30420,c_6317]) ).
tcf(c_30431,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30420,c_1855]) ).
tcf(c_30432,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30420,c_5582]) ).
tcf(c_30433,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30420,c_5581]) ).
tcf(c_30434,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30420,c_5580]) ).
tcf(c_30435,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30420,c_5576]) ).
tcf(c_30436,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30420,c_1843]) ).
tcf(c_30437,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_30420,c_4644]) ).
tcf(c_30438,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_30420,c_4643]) ).
tcf(c_30439,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_30420,c_4642]) ).
tcf(c_30440,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_30420,c_4638]) ).
tcf(c_30441,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30420,c_1842]) ).
tcf(c_30442,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_30420,c_1890]) ).
tcf(c_30443,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_30420,c_1889]) ).
tcf(c_30444,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_30420,c_1888]) ).
tcf(c_30445,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_30420,c_1885]) ).
tcf(c_30446,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_30420,c_1868]) ).
tcf(c_30447,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,xm))),sdtasdt0(X1,sdtasdt0(xm,sdtpldt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30420,c_65]) ).
tcf(c_30448,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30420,c_64]) ).
tcf(c_30449,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_30420,c_1867]) ).
tcf(c_30450,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30420,c_59]) ).
tcf(c_30451,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30420,c_55]) ).
tcf(c_30452,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_30420,c_1866]) ).
tcf(c_30453,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),X0),sdtasdt0(xm,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30420,c_153]) ).
tcf(c_30454,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_30420,c_1863]) ).
tcf(c_30455,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30420,c_58]) ).
tcf(c_30456,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30420,c_54]) ).
tcf(c_30459,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xm))) = sdtasdt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_30420,c_57]) ).
tcf(c_30460,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xm)),sz00) = sdtasdt0(xm,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_30420,c_56]) ).
tcf(c_30568,plain,
aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_21043,c_103,c_102,c_101,c_2146,c_21043]) ).
tcf(c_30570,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30568,c_7192]) ).
tcf(c_30571,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30568,c_7191]) ).
tcf(c_30572,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30568,c_7190]) ).
tcf(c_30573,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30568,c_7186]) ).
tcf(c_30574,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30568,c_1856]) ).
tcf(c_30575,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_30568,c_6323]) ).
tcf(c_30576,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_30568,c_6322]) ).
tcf(c_30577,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_30568,c_6321]) ).
tcf(c_30578,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_30568,c_6317]) ).
tcf(c_30579,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30568,c_1855]) ).
tcf(c_30580,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30568,c_5582]) ).
tcf(c_30581,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30568,c_5581]) ).
tcf(c_30582,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30568,c_5580]) ).
tcf(c_30583,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30568,c_5576]) ).
tcf(c_30584,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30568,c_1843]) ).
tcf(c_30585,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_30568,c_4644]) ).
tcf(c_30586,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_30568,c_4643]) ).
tcf(c_30587,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_30568,c_4642]) ).
tcf(c_30588,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_30568,c_4638]) ).
tcf(c_30589,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30568,c_1842]) ).
tcf(c_30590,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_30568,c_1890]) ).
tcf(c_30591,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_30568,c_1889]) ).
tcf(c_30592,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_30568,c_1888]) ).
tcf(c_30593,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_30568,c_1885]) ).
tcf(c_30594,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_30568,c_1868]) ).
tcf(c_30595,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,xn))),sdtasdt0(X1,sdtasdt0(xm,sdtpldt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30568,c_65]) ).
tcf(c_30596,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30568,c_64]) ).
tcf(c_30597,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_30568,c_1867]) ).
tcf(c_30598,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30568,c_59]) ).
tcf(c_30599,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xn)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30568,c_55]) ).
tcf(c_30600,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_30568,c_1866]) ).
tcf(c_30601,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),X0),sdtasdt0(xm,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30568,c_153]) ).
tcf(c_30602,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_30568,c_1863]) ).
tcf(c_30603,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30568,c_58]) ).
tcf(c_30604,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30568,c_54]) ).
tcf(c_30607,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xn))) = sdtasdt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_30568,c_57]) ).
tcf(c_30608,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xn)),sz00) = sdtasdt0(xm,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_30568,c_56]) ).
tcf(c_30774,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,xm)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_30186,c_69]) ).
tcf(c_30786,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,xm)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_30189,c_68]) ).
tcf(c_30792,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,xm)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_30190,c_68]) ).
tcf(c_30798,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,xm)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_30191,c_68]) ).
tcf(c_30805,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xm)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_30192,c_68]) ).
tcf(c_30812,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,xm)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_30194,c_69]) ).
tcf(c_30818,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,xm)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_30195,c_69]) ).
tcf(c_30845,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xm,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,xm)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xm,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_30196,c_69]) ).
tcf(c_30852,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_30197,c_69]) ).
tcf(c_30866,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10044,c_68]) ).
tcf(c_30868,plain,
aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_21052,c_102,c_101,c_49,c_3063,c_21052]) ).
tcf(c_30870,plain,
aNaturalNumber0(sdtasdt0(xm,sz00)),
inference(superposition,[status(thm)],[c_1832,c_30868]) ).
tcf(c_30871,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30868,c_7192]) ).
tcf(c_30872,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30868,c_7191]) ).
tcf(c_30873,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30868,c_7190]) ).
tcf(c_30874,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30868,c_7186]) ).
tcf(c_30875,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30868,c_1856]) ).
tcf(c_30876,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_30868,c_6323]) ).
tcf(c_30877,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_30868,c_6322]) ).
tcf(c_30878,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_30868,c_6321]) ).
tcf(c_30879,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_30868,c_6317]) ).
tcf(c_30880,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30868,c_1855]) ).
tcf(c_30881,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30868,c_5582]) ).
tcf(c_30882,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30868,c_5581]) ).
tcf(c_30883,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30868,c_5580]) ).
tcf(c_30884,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_30868,c_5576]) ).
tcf(c_30885,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30868,c_1843]) ).
tcf(c_30886,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_30868,c_4644]) ).
tcf(c_30887,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_30868,c_4643]) ).
tcf(c_30888,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_30868,c_4642]) ).
tcf(c_30889,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_30868,c_4638]) ).
tcf(c_30890,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30868,c_1842]) ).
tcf(c_30891,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_30868,c_1890]) ).
tcf(c_30892,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_30868,c_1889]) ).
tcf(c_30893,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_30868,c_1888]) ).
tcf(c_30894,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_30868,c_1885]) ).
tcf(c_30895,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_30868,c_1868]) ).
tcf(c_30896,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xl))),sdtasdt0(X1,sdtasdt0(xm,sdtasdt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30868,c_65]) ).
tcf(c_30897,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30868,c_64]) ).
tcf(c_30898,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_30868,c_1867]) ).
tcf(c_30899,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30868,c_59]) ).
tcf(c_30900,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30868,c_55]) ).
tcf(c_30901,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_30868,c_1866]) ).
tcf(c_30902,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),X0),sdtasdt0(xm,sdtasdt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30868,c_153]) ).
tcf(c_30903,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_30868,c_1863]) ).
tcf(c_30904,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30868,c_58]) ).
tcf(c_30905,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30868,c_54]) ).
tcf(c_30908,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xl))) = sdtasdt0(xm,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_30868,c_57]) ).
tcf(c_30909,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(xm,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_30868,c_56]) ).
tcf(c_31005,plain,
aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_21059,c_102,c_49,c_3078,c_21059]) ).
tcf(c_31008,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31005,c_7192]) ).
tcf(c_31009,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31005,c_7191]) ).
tcf(c_31010,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31005,c_7190]) ).
tcf(c_31011,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31005,c_7186]) ).
tcf(c_31012,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31005,c_1856]) ).
tcf(c_31013,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31005,c_6323]) ).
tcf(c_31014,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31005,c_6322]) ).
tcf(c_31015,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31005,c_6321]) ).
tcf(c_31016,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31005,c_6317]) ).
tcf(c_31017,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31005,c_1855]) ).
tcf(c_31018,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31005,c_5582]) ).
tcf(c_31019,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31005,c_5581]) ).
tcf(c_31020,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31005,c_5580]) ).
tcf(c_31021,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31005,c_5576]) ).
tcf(c_31022,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31005,c_1843]) ).
tcf(c_31023,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31005,c_4644]) ).
tcf(c_31024,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31005,c_4643]) ).
tcf(c_31025,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31005,c_4642]) ).
tcf(c_31026,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31005,c_4638]) ).
tcf(c_31027,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31005,c_1842]) ).
tcf(c_31028,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_31005,c_1890]) ).
tcf(c_31029,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_31005,c_1889]) ).
tcf(c_31030,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_31005,c_1888]) ).
tcf(c_31031,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_31005,c_1885]) ).
tcf(c_31032,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_31005,c_1868]) ).
tcf(c_31033,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xm))),sdtasdt0(X1,sdtasdt0(xm,sdtasdt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31005,c_65]) ).
tcf(c_31034,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31005,c_64]) ).
tcf(c_31035,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_31005,c_1867]) ).
tcf(c_31036,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31005,c_59]) ).
tcf(c_31037,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31005,c_55]) ).
tcf(c_31038,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_31005,c_1866]) ).
tcf(c_31039,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),X0),sdtasdt0(xm,sdtasdt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31005,c_153]) ).
tcf(c_31040,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_31005,c_1863]) ).
tcf(c_31041,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31005,c_58]) ).
tcf(c_31042,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31005,c_54]) ).
tcf(c_31045,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xm))) = sdtasdt0(xm,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_31005,c_57]) ).
tcf(c_31046,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(xm,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_31005,c_56]) ).
tcf(c_31165,plain,
aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_21066,c_103,c_102,c_49,c_3099,c_21066]) ).
tcf(c_31168,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31165,c_7192]) ).
tcf(c_31169,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31165,c_7191]) ).
tcf(c_31170,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31165,c_7190]) ).
tcf(c_31171,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31165,c_7186]) ).
tcf(c_31172,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31165,c_1856]) ).
tcf(c_31173,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31165,c_6323]) ).
tcf(c_31174,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31165,c_6322]) ).
tcf(c_31175,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31165,c_6321]) ).
tcf(c_31176,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31165,c_6317]) ).
tcf(c_31177,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31165,c_1855]) ).
tcf(c_31178,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31165,c_5582]) ).
tcf(c_31179,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31165,c_5581]) ).
tcf(c_31180,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31165,c_5580]) ).
tcf(c_31181,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31165,c_5576]) ).
tcf(c_31182,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31165,c_1843]) ).
tcf(c_31183,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31165,c_4644]) ).
tcf(c_31184,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31165,c_4643]) ).
tcf(c_31185,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31165,c_4642]) ).
tcf(c_31186,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31165,c_4638]) ).
tcf(c_31187,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31165,c_1842]) ).
tcf(c_31188,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_31165,c_1890]) ).
tcf(c_31189,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_31165,c_1889]) ).
tcf(c_31190,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_31165,c_1888]) ).
tcf(c_31191,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_31165,c_1885]) ).
tcf(c_31192,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_31165,c_1868]) ).
tcf(c_31193,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xn))),sdtasdt0(X1,sdtasdt0(xm,sdtasdt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31165,c_65]) ).
tcf(c_31194,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31165,c_64]) ).
tcf(c_31195,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_31165,c_1867]) ).
tcf(c_31196,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31165,c_59]) ).
tcf(c_31197,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31165,c_55]) ).
tcf(c_31198,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_31165,c_1866]) ).
tcf(c_31199,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),X0),sdtasdt0(xm,sdtasdt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31165,c_153]) ).
tcf(c_31200,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_31165,c_1863]) ).
tcf(c_31201,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31165,c_58]) ).
tcf(c_31202,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31165,c_54]) ).
tcf(c_31205,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,xn))) = sdtasdt0(xm,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_31165,c_57]) ).
tcf(c_31206,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(xm,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_31165,c_56]) ).
tcf(c_31360,plain,
aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_21072,c_102,c_101,c_3642,c_21072]) ).
tcf(c_31362,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31360,c_7192]) ).
tcf(c_31363,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31360,c_7191]) ).
tcf(c_31364,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31360,c_7190]) ).
tcf(c_31365,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31360,c_7186]) ).
tcf(c_31366,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31360,c_1856]) ).
tcf(c_31367,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31360,c_6323]) ).
tcf(c_31368,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31360,c_6322]) ).
tcf(c_31369,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31360,c_6321]) ).
tcf(c_31370,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31360,c_6317]) ).
tcf(c_31371,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31360,c_1855]) ).
tcf(c_31372,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31360,c_5582]) ).
tcf(c_31373,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31360,c_5581]) ).
tcf(c_31374,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31360,c_5580]) ).
tcf(c_31375,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31360,c_5576]) ).
tcf(c_31376,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31360,c_1843]) ).
tcf(c_31377,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31360,c_4644]) ).
tcf(c_31378,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31360,c_4643]) ).
tcf(c_31379,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31360,c_4642]) ).
tcf(c_31380,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_31360,c_4638]) ).
tcf(c_31381,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31360,c_1842]) ).
tcf(c_31382,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_31360,c_1890]) ).
tcf(c_31383,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_31360,c_1889]) ).
tcf(c_31384,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_31360,c_1888]) ).
tcf(c_31385,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_31360,c_1885]) ).
tcf(c_31386,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xm)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_31360,c_1868]) ).
tcf(c_31387,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xl,xm))),sdtasdt0(X1,sdtasdt0(xm,sdtasdt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31360,c_65]) ).
tcf(c_31388,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31360,c_64]) ).
tcf(c_31389,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_31360,c_1867]) ).
tcf(c_31390,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31360,c_59]) ).
tcf(c_31391,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31360,c_55]) ).
tcf(c_31392,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xm)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_31360,c_1866]) ).
tcf(c_31393,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),X0),sdtasdt0(xm,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31360,c_153]) ).
tcf(c_31394,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_31360,c_1863]) ).
tcf(c_31395,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31360,c_58]) ).
tcf(c_31396,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31360,c_54]) ).
tcf(c_31399,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xm))) = sdtasdt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_31360,c_57]) ).
tcf(c_31400,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xm)),sz00) = sdtasdt0(xm,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_31360,c_56]) ).
tcf(c_31494,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_30870,c_7192]) ).
tcf(c_31495,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_30870,c_7191]) ).
tcf(c_31496,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_30870,c_7190]) ).
tcf(c_31497,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_30870,c_7186]) ).
tcf(c_31498,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30870,c_1856]) ).
tcf(c_31499,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_30870,c_6323]) ).
tcf(c_31500,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_30870,c_6322]) ).
tcf(c_31501,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_30870,c_6321]) ).
tcf(c_31502,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_30870,c_6317]) ).
tcf(c_31503,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30870,c_1855]) ).
tcf(c_31504,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_30870,c_5582]) ).
tcf(c_31505,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_30870,c_5581]) ).
tcf(c_31506,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_30870,c_5580]) ).
tcf(c_31507,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_30870,c_5576]) ).
tcf(c_31508,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30870,c_1843]) ).
tcf(c_31509,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_30870,c_4644]) ).
tcf(c_31510,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_30870,c_4643]) ).
tcf(c_31511,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_30870,c_4642]) ).
tcf(c_31512,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sz00))) = sz00,
inference(superposition,[status(thm)],[c_30870,c_4638]) ).
tcf(c_31513,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30870,c_1842]) ).
tcf(c_31514,plain,
sdtasdt0(sdtasdt0(xm,sz00),xn) = sdtasdt0(xn,sdtasdt0(xm,sz00)),
inference(superposition,[status(thm)],[c_30870,c_1890]) ).
tcf(c_31515,plain,
sdtasdt0(sdtasdt0(xm,sz00),xm) = sdtasdt0(xm,sdtasdt0(xm,sz00)),
inference(superposition,[status(thm)],[c_30870,c_1889]) ).
tcf(c_31516,plain,
sdtasdt0(sdtasdt0(xm,sz00),xl) = sdtasdt0(xl,sdtasdt0(xm,sz00)),
inference(superposition,[status(thm)],[c_30870,c_1888]) ).
tcf(c_31517,plain,
sdtasdt0(sdtasdt0(xm,sz00),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sz00)),
inference(superposition,[status(thm)],[c_30870,c_1885]) ).
tcf(c_31518,plain,
sdtpldt0(sdtasdt0(xm,sz00),xn) = sdtpldt0(xn,sdtasdt0(xm,sz00)),
inference(superposition,[status(thm)],[c_30870,c_1868]) ).
tcf(c_31519,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sz00)),sdtasdt0(X1,sdtasdt0(xm,sz00))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30870,c_65]) ).
tcf(c_31520,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sz00),X0),sdtasdt0(sdtasdt0(xm,sz00),X1)) = sdtasdt0(sdtasdt0(xm,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30870,c_64]) ).
tcf(c_31521,plain,
sdtpldt0(sdtasdt0(xm,sz00),xm) = sdtpldt0(xm,sdtasdt0(xm,sz00)),
inference(superposition,[status(thm)],[c_30870,c_1867]) ).
tcf(c_31522,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sz00),X0),X1) = sdtasdt0(sdtasdt0(xm,sz00),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30870,c_59]) ).
tcf(c_31523,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sz00),X0),X1) = sdtpldt0(sdtasdt0(xm,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30870,c_55]) ).
tcf(c_31524,plain,
sdtpldt0(sdtasdt0(xm,sz00),xl) = sdtpldt0(xl,sdtasdt0(xm,sz00)),
inference(superposition,[status(thm)],[c_30870,c_1866]) ).
tcf(c_31526,plain,
sdtpldt0(sdtasdt0(xm,sz00),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sz00)),
inference(superposition,[status(thm)],[c_30870,c_1863]) ).
tcf(c_31527,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sz00),X0) = sdtasdt0(X0,sdtasdt0(xm,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30870,c_58]) ).
tcf(c_31528,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sz00),X0) = sdtpldt0(X0,sdtasdt0(xm,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_30870,c_54]) ).
tcf(c_31531,plain,
sdtpldt0(sz00,sdtasdt0(xm,sz00)) = sdtasdt0(xm,sz00),
inference(superposition,[status(thm)],[c_30870,c_57]) ).
tcf(c_31532,plain,
sdtpldt0(sdtasdt0(xm,sz00),sz00) = sdtasdt0(xm,sz00),
inference(superposition,[status(thm)],[c_30870,c_56]) ).
tcf(c_31619,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,sz00)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_31494,c_68]) ).
tcf(c_31627,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,sz00)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_31495,c_68]) ).
tcf(c_31635,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,sz00)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_31496,c_68]) ).
tcf(c_31653,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_31499,c_69]) ).
tcf(c_31661,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_31500,c_69]) ).
tcf(c_31669,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_31501,c_69]) ).
tcf(c_31685,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,sz00)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_31504,c_68]) ).
tcf(c_31693,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,sz00)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_31505,c_68]) ).
tcf(c_31701,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,sz00)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_31506,c_68]) ).
tcf(c_31710,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_31531,c_66]) ).
tcf(c_31711,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_31531,c_67]) ).
tcf(c_31719,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_31532,c_66]) ).
tcf(c_31720,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_31532,c_67]) ).
tcf(c_31721,plain,
aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_21080,c_103,c_102,c_101,c_3685,c_21080]) ).
tcf(c_31723,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31721,c_7192]) ).
tcf(c_31724,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31721,c_7191]) ).
tcf(c_31725,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31721,c_7190]) ).
tcf(c_31726,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31721,c_7186]) ).
tcf(c_31727,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31721,c_1856]) ).
tcf(c_31728,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31721,c_6323]) ).
tcf(c_31729,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31721,c_6322]) ).
tcf(c_31730,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31721,c_6321]) ).
tcf(c_31731,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31721,c_6317]) ).
tcf(c_31732,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31721,c_1855]) ).
tcf(c_31733,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31721,c_5582]) ).
tcf(c_31734,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31721,c_5581]) ).
tcf(c_31735,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31721,c_5580]) ).
tcf(c_31736,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_31721,c_5576]) ).
tcf(c_31737,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31721,c_1843]) ).
tcf(c_31738,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31721,c_4644]) ).
tcf(c_31739,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31721,c_4643]) ).
tcf(c_31740,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31721,c_4642]) ).
tcf(c_31741,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_31721,c_4638]) ).
tcf(c_31742,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31721,c_1842]) ).
tcf(c_31743,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_31721,c_1890]) ).
tcf(c_31744,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_31721,c_1889]) ).
tcf(c_31745,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_31721,c_1888]) ).
tcf(c_31746,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_31721,c_1885]) ).
tcf(c_31747,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xn)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_31721,c_1868]) ).
tcf(c_31748,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xl,xn))),sdtasdt0(X1,sdtasdt0(xm,sdtasdt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31721,c_65]) ).
tcf(c_31749,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31721,c_64]) ).
tcf(c_31750,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xn)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_31721,c_1867]) ).
tcf(c_31751,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31721,c_59]) ).
tcf(c_31752,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xn)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31721,c_55]) ).
tcf(c_31753,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xn)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_31721,c_1866]) ).
tcf(c_31754,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),X0),sdtasdt0(xm,sdtasdt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31721,c_153]) ).
tcf(c_31755,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_31721,c_1863]) ).
tcf(c_31756,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,xn)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31721,c_58]) ).
tcf(c_31757,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xn)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_31721,c_54]) ).
tcf(c_31760,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xl,xn))) = sdtasdt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_31721,c_57]) ).
tcf(c_31761,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xn)),sz00) = sdtasdt0(xm,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_31721,c_56]) ).
tcf(c_32652,plain,
aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_21142,c_103,c_102,c_4128,c_21142]) ).
tcf(c_32654,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32652,c_7192]) ).
tcf(c_32655,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32652,c_7191]) ).
tcf(c_32656,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32652,c_7190]) ).
tcf(c_32657,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32652,c_7186]) ).
tcf(c_32658,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32652,c_1856]) ).
tcf(c_32659,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32652,c_6323]) ).
tcf(c_32660,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32652,c_6322]) ).
tcf(c_32661,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32652,c_6321]) ).
tcf(c_32662,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32652,c_6317]) ).
tcf(c_32663,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32652,c_1855]) ).
tcf(c_32664,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32652,c_5582]) ).
tcf(c_32665,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32652,c_5581]) ).
tcf(c_32666,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32652,c_5580]) ).
tcf(c_32667,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32652,c_5576]) ).
tcf(c_32668,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32652,c_1843]) ).
tcf(c_32669,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32652,c_4644]) ).
tcf(c_32670,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32652,c_4643]) ).
tcf(c_32671,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32652,c_4642]) ).
tcf(c_32672,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32652,c_4638]) ).
tcf(c_32673,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32652,c_1842]) ).
tcf(c_32674,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32652,c_1890]) ).
tcf(c_32675,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32652,c_1889]) ).
tcf(c_32676,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32652,c_1888]) ).
tcf(c_32677,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32652,c_1885]) ).
tcf(c_32678,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,xn)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32652,c_1868]) ).
tcf(c_32679,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xm,xn))),sdtasdt0(X1,sdtasdt0(xm,sdtasdt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32652,c_65]) ).
tcf(c_32680,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),X0),sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),X1)) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32652,c_64]) ).
tcf(c_32681,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,xn)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32652,c_1867]) ).
tcf(c_32682,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32652,c_59]) ).
tcf(c_32683,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,xn)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32652,c_55]) ).
tcf(c_32684,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,xn)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32652,c_1866]) ).
tcf(c_32685,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),X0),sdtasdt0(xm,sdtasdt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32652,c_153]) ).
tcf(c_32686,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32652,c_1863]) ).
tcf(c_32687,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,xn)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32652,c_58]) ).
tcf(c_32688,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,xn)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32652,c_54]) ).
tcf(c_32691,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtasdt0(xm,xn))) = sdtasdt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_32652,c_57]) ).
tcf(c_32692,plain,
sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,xn)),sz00) = sdtasdt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_32652,c_56]) ).
tcf(c_32787,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,sz00)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_31507,c_68]) ).
tcf(c_32796,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_31509,c_69]) ).
tcf(c_32804,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_31510,c_69]) ).
tcf(c_32812,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xm,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xm,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_31511,c_69]) ).
tcf(c_32821,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_31512,c_69]) ).
tcf(c_32848,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10045,c_68]) ).
tcf(c_32926,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10046,c_68]) ).
tcf(c_32934,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10047,c_68]) ).
tcf(c_32942,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10049,c_69]) ).
tcf(c_32949,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10050,c_69]) ).
tcf(c_32956,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10051,c_69]) ).
tcf(c_32964,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10052,c_69]) ).
tcf(c_32965,plain,
aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_21185,c_103,c_102,c_101,c_4128,c_21185]) ).
tcf(c_32967,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32965,c_7192]) ).
tcf(c_32968,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32965,c_7191]) ).
tcf(c_32969,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32965,c_7190]) ).
tcf(c_32970,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32965,c_7186]) ).
tcf(c_32971,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32965,c_1856]) ).
tcf(c_32972,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32965,c_6323]) ).
tcf(c_32973,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32965,c_6322]) ).
tcf(c_32974,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32965,c_6321]) ).
tcf(c_32975,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32965,c_6317]) ).
tcf(c_32976,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32965,c_1855]) ).
tcf(c_32977,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32965,c_5582]) ).
tcf(c_32978,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32965,c_5581]) ).
tcf(c_32979,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32965,c_5580]) ).
tcf(c_32980,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_32965,c_5576]) ).
tcf(c_32981,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32965,c_1843]) ).
tcf(c_32982,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32965,c_4644]) ).
tcf(c_32983,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32965,c_4643]) ).
tcf(c_32984,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32965,c_4642]) ).
tcf(c_32985,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_32965,c_4638]) ).
tcf(c_32986,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32965,c_1842]) ).
tcf(c_32987,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32965,c_1890]) ).
tcf(c_32988,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32965,c_1889]) ).
tcf(c_32989,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32965,c_1888]) ).
tcf(c_32990,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32965,c_1885]) ).
tcf(c_32991,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32965,c_1868]) ).
tcf(c_32992,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xm,xn))),sdtasdt0(X1,sdtasdt0(xl,sdtasdt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32965,c_65]) ).
tcf(c_32993,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),X0),sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),X1)) = sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32965,c_64]) ).
tcf(c_32994,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32965,c_1867]) ).
tcf(c_32995,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32965,c_59]) ).
tcf(c_32996,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32965,c_55]) ).
tcf(c_32997,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32965,c_1866]) ).
tcf(c_32998,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),X0),sdtasdt0(xl,sdtasdt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32965,c_153]) ).
tcf(c_32999,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_32965,c_1863]) ).
tcf(c_33000,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,xn)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32965,c_58]) ).
tcf(c_33001,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_32965,c_54]) ).
tcf(c_33004,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtasdt0(xm,xn))) = sdtasdt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_32965,c_57]) ).
tcf(c_33005,plain,
sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),sz00) = sdtasdt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_32965,c_56]) ).
tcf(c_33137,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_21194,c_103,c_102,c_49,c_4128,c_21194]) ).
tcf(c_33140,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33137,c_7192]) ).
tcf(c_33141,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33137,c_7191]) ).
tcf(c_33142,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33137,c_7190]) ).
tcf(c_33143,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33137,c_7186]) ).
tcf(c_33144,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33137,c_1856]) ).
tcf(c_33145,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33137,c_6323]) ).
tcf(c_33146,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33137,c_6322]) ).
tcf(c_33147,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33137,c_6321]) ).
tcf(c_33148,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33137,c_6317]) ).
tcf(c_33149,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33137,c_1855]) ).
tcf(c_33150,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33137,c_5582]) ).
tcf(c_33151,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33137,c_5581]) ).
tcf(c_33152,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33137,c_5580]) ).
tcf(c_33153,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33137,c_5576]) ).
tcf(c_33154,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33137,c_1843]) ).
tcf(c_33155,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33137,c_4644]) ).
tcf(c_33156,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33137,c_4643]) ).
tcf(c_33157,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33137,c_4642]) ).
tcf(c_33158,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33137,c_4638]) ).
tcf(c_33159,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33137,c_1842]) ).
tcf(c_33160,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33137,c_1890]) ).
tcf(c_33161,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33137,c_1889]) ).
tcf(c_33162,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33137,c_1888]) ).
tcf(c_33163,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33137,c_1885]) ).
tcf(c_33164,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33137,c_1868]) ).
tcf(c_33165,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtasdt0(xm,xn))),sdtasdt0(X1,sdtasdt0(sz00,sdtasdt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33137,c_65]) ).
tcf(c_33166,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),X0),sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33137,c_64]) ).
tcf(c_33167,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33137,c_1867]) ).
tcf(c_33168,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33137,c_59]) ).
tcf(c_33169,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33137,c_55]) ).
tcf(c_33170,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33137,c_1866]) ).
tcf(c_33172,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33137,c_1863]) ).
tcf(c_33173,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33137,c_58]) ).
tcf(c_33174,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33137,c_54]) ).
tcf(c_33177,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,xn))) = sdtasdt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_33137,c_57]) ).
tcf(c_33178,plain,
sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_33137,c_56]) ).
tcf(c_33243,plain,
aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_21202,c_103,c_102,c_4128,c_21202]) ).
tcf(c_33245,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33243,c_7192]) ).
tcf(c_33246,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33243,c_7191]) ).
tcf(c_33247,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33243,c_7190]) ).
tcf(c_33248,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33243,c_7186]) ).
tcf(c_33249,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33243,c_1856]) ).
tcf(c_33250,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33243,c_6323]) ).
tcf(c_33251,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33243,c_6322]) ).
tcf(c_33252,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33243,c_6321]) ).
tcf(c_33253,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33243,c_6317]) ).
tcf(c_33254,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33243,c_1855]) ).
tcf(c_33255,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33243,c_5582]) ).
tcf(c_33256,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33243,c_5581]) ).
tcf(c_33257,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33243,c_5580]) ).
tcf(c_33258,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33243,c_5576]) ).
tcf(c_33259,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33243,c_1843]) ).
tcf(c_33260,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33243,c_4644]) ).
tcf(c_33261,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33243,c_4643]) ).
tcf(c_33262,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33243,c_4642]) ).
tcf(c_33263,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33243,c_4638]) ).
tcf(c_33264,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33243,c_1842]) ).
tcf(c_33265,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33243,c_1890]) ).
tcf(c_33266,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33243,c_1889]) ).
tcf(c_33267,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33243,c_1888]) ).
tcf(c_33268,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33243,c_1885]) ).
tcf(c_33269,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,xn)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33243,c_1868]) ).
tcf(c_33270,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xm,xn))),sdtasdt0(X1,sdtpldt0(xn,sdtasdt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33243,c_65]) ).
tcf(c_33271,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),X0),sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),X1)) = sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33243,c_64]) ).
tcf(c_33272,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,xn)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33243,c_1867]) ).
tcf(c_33273,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33243,c_59]) ).
tcf(c_33274,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,xn)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33243,c_55]) ).
tcf(c_33275,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,xn)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33243,c_1866]) ).
tcf(c_33276,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),X0),sdtpldt0(xn,sdtasdt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33243,c_153]) ).
tcf(c_33277,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33243,c_1863]) ).
tcf(c_33278,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,xn)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33243,c_58]) ).
tcf(c_33279,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,xn)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33243,c_54]) ).
tcf(c_33282,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(xm,xn))) = sdtpldt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_33243,c_57]) ).
tcf(c_33283,plain,
sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,xn)),sz00) = sdtpldt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_33243,c_56]) ).
tcf(c_33372,plain,
aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_21277,c_103,c_102,c_4128,c_21277]) ).
tcf(c_33374,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33372,c_7192]) ).
tcf(c_33375,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33372,c_7191]) ).
tcf(c_33376,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33372,c_7190]) ).
tcf(c_33377,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33372,c_7186]) ).
tcf(c_33378,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33372,c_1856]) ).
tcf(c_33379,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33372,c_6323]) ).
tcf(c_33380,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33372,c_6322]) ).
tcf(c_33381,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33372,c_6321]) ).
tcf(c_33382,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33372,c_6317]) ).
tcf(c_33383,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33372,c_1855]) ).
tcf(c_33384,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33372,c_5582]) ).
tcf(c_33385,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33372,c_5581]) ).
tcf(c_33386,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33372,c_5580]) ).
tcf(c_33387,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33372,c_5576]) ).
tcf(c_33388,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33372,c_1843]) ).
tcf(c_33389,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33372,c_4644]) ).
tcf(c_33390,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33372,c_4643]) ).
tcf(c_33391,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33372,c_4642]) ).
tcf(c_33392,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33372,c_4638]) ).
tcf(c_33393,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33372,c_1842]) ).
tcf(c_33394,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33372,c_1890]) ).
tcf(c_33395,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33372,c_1889]) ).
tcf(c_33396,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33372,c_1888]) ).
tcf(c_33397,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33372,c_1885]) ).
tcf(c_33398,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,xn)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33372,c_1868]) ).
tcf(c_33399,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xm,xn))),sdtasdt0(X1,sdtpldt0(xm,sdtasdt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33372,c_65]) ).
tcf(c_33400,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),X0),sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),X1)) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33372,c_64]) ).
tcf(c_33401,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,xn)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33372,c_1867]) ).
tcf(c_33402,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33372,c_59]) ).
tcf(c_33403,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,xn)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33372,c_55]) ).
tcf(c_33404,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,xn)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33372,c_1866]) ).
tcf(c_33405,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),X0),sdtpldt0(xm,sdtasdt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33372,c_153]) ).
tcf(c_33406,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33372,c_1863]) ).
tcf(c_33407,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,xn)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33372,c_58]) ).
tcf(c_33408,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,xn)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33372,c_54]) ).
tcf(c_33411,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtasdt0(xm,xn))) = sdtpldt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_33372,c_57]) ).
tcf(c_33412,plain,
sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,xn)),sz00) = sdtpldt0(xm,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_33372,c_56]) ).
tcf(c_33548,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10222,c_68]) ).
tcf(c_33555,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10223,c_68]) ).
tcf(c_33562,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10224,c_68]) ).
tcf(c_33578,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10227,c_69]) ).
tcf(c_33585,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10228,c_69]) ).
tcf(c_33592,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10229,c_69]) ).
tcf(c_33606,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10232,c_68]) ).
tcf(c_33613,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10233,c_68]) ).
tcf(c_33646,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10234,c_68]) ).
tcf(c_33654,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_10235,c_68]) ).
tcf(c_33656,plain,
aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_21286,c_103,c_102,c_101,c_4128,c_21286]) ).
tcf(c_33658,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33656,c_7192]) ).
tcf(c_33659,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33656,c_7191]) ).
tcf(c_33660,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33656,c_7190]) ).
tcf(c_33661,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33656,c_7186]) ).
tcf(c_33662,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33656,c_1856]) ).
tcf(c_33663,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33656,c_6323]) ).
tcf(c_33664,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33656,c_6322]) ).
tcf(c_33665,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33656,c_6321]) ).
tcf(c_33666,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33656,c_6317]) ).
tcf(c_33667,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33656,c_1855]) ).
tcf(c_33668,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33656,c_5582]) ).
tcf(c_33669,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33656,c_5581]) ).
tcf(c_33670,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33656,c_5580]) ).
tcf(c_33671,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33656,c_5576]) ).
tcf(c_33672,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33656,c_1843]) ).
tcf(c_33673,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33656,c_4644]) ).
tcf(c_33674,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33656,c_4643]) ).
tcf(c_33675,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33656,c_4642]) ).
tcf(c_33676,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33656,c_4638]) ).
tcf(c_33677,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33656,c_1842]) ).
tcf(c_33678,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33656,c_1890]) ).
tcf(c_33679,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33656,c_1889]) ).
tcf(c_33680,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33656,c_1888]) ).
tcf(c_33681,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33656,c_1885]) ).
tcf(c_33682,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,xn)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33656,c_1868]) ).
tcf(c_33683,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xm,xn))),sdtasdt0(X1,sdtpldt0(xl,sdtasdt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33656,c_65]) ).
tcf(c_33684,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),X0),sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),X1)) = sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33656,c_64]) ).
tcf(c_33685,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,xn)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33656,c_1867]) ).
tcf(c_33686,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33656,c_59]) ).
tcf(c_33687,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,xn)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33656,c_55]) ).
tcf(c_33688,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,xn)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33656,c_1866]) ).
tcf(c_33689,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),X0),sdtpldt0(xl,sdtasdt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33656,c_153]) ).
tcf(c_33690,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33656,c_1863]) ).
tcf(c_33691,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,xn)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33656,c_58]) ).
tcf(c_33692,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,xn)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33656,c_54]) ).
tcf(c_33695,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtasdt0(xm,xn))) = sdtpldt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_33656,c_57]) ).
tcf(c_33696,plain,
sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,xn)),sz00) = sdtpldt0(xl,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_33656,c_56]) ).
tcf(c_33804,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_21379,c_103,c_102,c_49,c_4128,c_21379]) ).
tcf(c_33807,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33804,c_7192]) ).
tcf(c_33808,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33804,c_7191]) ).
tcf(c_33809,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33804,c_7190]) ).
tcf(c_33810,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33804,c_7186]) ).
tcf(c_33811,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33804,c_1856]) ).
tcf(c_33812,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33804,c_6323]) ).
tcf(c_33813,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33804,c_6322]) ).
tcf(c_33814,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33804,c_6321]) ).
tcf(c_33815,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33804,c_6317]) ).
tcf(c_33816,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33804,c_1855]) ).
tcf(c_33817,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33804,c_5582]) ).
tcf(c_33818,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33804,c_5581]) ).
tcf(c_33819,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33804,c_5580]) ).
tcf(c_33820,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33804,c_5576]) ).
tcf(c_33821,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33804,c_1843]) ).
tcf(c_33822,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33804,c_4644]) ).
tcf(c_33823,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33804,c_4643]) ).
tcf(c_33824,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33804,c_4642]) ).
tcf(c_33825,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33804,c_4638]) ).
tcf(c_33826,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33804,c_1842]) ).
tcf(c_33827,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33804,c_1890]) ).
tcf(c_33828,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33804,c_1889]) ).
tcf(c_33829,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33804,c_1888]) ).
tcf(c_33830,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33804,c_1885]) ).
tcf(c_33831,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33804,c_1868]) ).
tcf(c_33832,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xm,xn))),sdtasdt0(X1,sdtpldt0(sz00,sdtasdt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33804,c_65]) ).
tcf(c_33833,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),X0),sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33804,c_64]) ).
tcf(c_33834,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33804,c_1867]) ).
tcf(c_33835,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33804,c_59]) ).
tcf(c_33836,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33804,c_55]) ).
tcf(c_33837,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33804,c_1866]) ).
tcf(c_33838,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),X0),sdtpldt0(sz00,sdtasdt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33804,c_153]) ).
tcf(c_33839,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_33804,c_1863]) ).
tcf(c_33840,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33804,c_58]) ).
tcf(c_33841,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33804,c_54]) ).
tcf(c_33844,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,xn))) = sdtpldt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_33804,c_57]) ).
tcf(c_33845,plain,
sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_33804,c_56]) ).
tcf(c_33975,plain,
aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_21410,c_103,c_102,c_1980,c_21410]) ).
tcf(c_33977,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33975,c_7192]) ).
tcf(c_33978,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33975,c_7191]) ).
tcf(c_33979,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33975,c_7190]) ).
tcf(c_33980,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33975,c_7186]) ).
tcf(c_33981,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33975,c_1856]) ).
tcf(c_33982,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33975,c_6323]) ).
tcf(c_33983,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33975,c_6322]) ).
tcf(c_33984,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33975,c_6321]) ).
tcf(c_33985,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33975,c_6317]) ).
tcf(c_33986,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33975,c_1855]) ).
tcf(c_33987,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33975,c_5582]) ).
tcf(c_33988,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33975,c_5581]) ).
tcf(c_33989,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33975,c_5580]) ).
tcf(c_33990,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_33975,c_5576]) ).
tcf(c_33991,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33975,c_1843]) ).
tcf(c_33992,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33975,c_4644]) ).
tcf(c_33993,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33975,c_4643]) ).
tcf(c_33994,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33975,c_4642]) ).
tcf(c_33995,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_33975,c_4638]) ).
tcf(c_33996,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33975,c_1842]) ).
tcf(c_33997,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_33975,c_1890]) ).
tcf(c_33998,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_33975,c_1889]) ).
tcf(c_33999,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_33975,c_1888]) ).
tcf(c_34000,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_33975,c_1885]) ).
tcf(c_34001,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xn)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_33975,c_1868]) ).
tcf(c_34002,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,xn))),sdtasdt0(X1,sdtasdt0(xn,sdtpldt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33975,c_65]) ).
tcf(c_34003,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),X0),sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),X1)) = sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33975,c_64]) ).
tcf(c_34004,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xn)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_33975,c_1867]) ).
tcf(c_34005,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33975,c_59]) ).
tcf(c_34006,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xn)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33975,c_55]) ).
tcf(c_34007,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xn)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_33975,c_1866]) ).
tcf(c_34008,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),X0),sdtasdt0(xn,sdtpldt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33975,c_153]) ).
tcf(c_34009,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xn))),
inference(superposition,[status(thm)],[c_33975,c_1863]) ).
tcf(c_34010,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xn)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33975,c_58]) ).
tcf(c_34011,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xn)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_33975,c_54]) ).
tcf(c_34014,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xn))) = sdtasdt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_33975,c_57]) ).
tcf(c_34015,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xn)),sz00) = sdtasdt0(xn,sdtpldt0(xm,xn)),
inference(superposition,[status(thm)],[c_33975,c_56]) ).
tcf(c_34122,plain,
aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_21419,c_103,c_101,c_49,c_1927,c_21419]) ).
tcf(c_34124,plain,
aNaturalNumber0(sdtasdt0(xn,xl)),
inference(superposition,[status(thm)],[c_1824,c_34122]) ).
tcf(c_34125,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34122,c_7192]) ).
tcf(c_34126,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34122,c_7191]) ).
tcf(c_34127,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34122,c_7190]) ).
tcf(c_34128,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34122,c_7186]) ).
tcf(c_34129,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34122,c_1856]) ).
tcf(c_34130,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_34122,c_6323]) ).
tcf(c_34131,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_34122,c_6322]) ).
tcf(c_34132,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_34122,c_6321]) ).
tcf(c_34133,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_34122,c_6317]) ).
tcf(c_34134,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34122,c_1855]) ).
tcf(c_34135,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34122,c_5582]) ).
tcf(c_34136,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34122,c_5581]) ).
tcf(c_34137,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34122,c_5580]) ).
tcf(c_34138,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34122,c_5576]) ).
tcf(c_34139,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34122,c_1843]) ).
tcf(c_34140,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_34122,c_4644]) ).
tcf(c_34141,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_34122,c_4643]) ).
tcf(c_34142,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_34122,c_4642]) ).
tcf(c_34143,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_34122,c_4638]) ).
tcf(c_34144,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34122,c_1842]) ).
tcf(c_34145,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_34122,c_1890]) ).
tcf(c_34146,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_34122,c_1889]) ).
tcf(c_34147,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_34122,c_1888]) ).
tcf(c_34148,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_34122,c_1885]) ).
tcf(c_34149,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_34122,c_1868]) ).
tcf(c_34150,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xl))),sdtasdt0(X1,sdtasdt0(xn,sdtpldt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34122,c_65]) ).
tcf(c_34151,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),X0),sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),X1)) = sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34122,c_64]) ).
tcf(c_34152,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_34122,c_1867]) ).
tcf(c_34153,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34122,c_59]) ).
tcf(c_34154,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34122,c_55]) ).
tcf(c_34155,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_34122,c_1866]) ).
tcf(c_34156,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),X0),sdtasdt0(xn,sdtpldt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34122,c_153]) ).
tcf(c_34157,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xl))),
inference(superposition,[status(thm)],[c_34122,c_1863]) ).
tcf(c_34158,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34122,c_58]) ).
tcf(c_34159,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34122,c_54]) ).
tcf(c_34162,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xl))) = sdtasdt0(xn,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_34122,c_57]) ).
tcf(c_34163,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),sz00) = sdtasdt0(xn,sdtpldt0(sz00,xl)),
inference(superposition,[status(thm)],[c_34122,c_56]) ).
tcf(c_34242,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34124,c_7192]) ).
tcf(c_34243,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34124,c_7191]) ).
tcf(c_34244,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34124,c_7190]) ).
tcf(c_34245,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34124,c_7186]) ).
tcf(c_34246,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34124,c_1856]) ).
tcf(c_34247,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_34124,c_6323]) ).
tcf(c_34248,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_34124,c_6322]) ).
tcf(c_34249,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_34124,c_6321]) ).
tcf(c_34250,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_34124,c_6317]) ).
tcf(c_34251,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34124,c_1855]) ).
tcf(c_34252,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34124,c_5582]) ).
tcf(c_34253,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34124,c_5581]) ).
tcf(c_34254,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34124,c_5580]) ).
tcf(c_34255,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,xl)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34124,c_5576]) ).
tcf(c_34256,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,xl),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34124,c_1843]) ).
tcf(c_34257,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_34124,c_4644]) ).
tcf(c_34258,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_34124,c_4643]) ).
tcf(c_34259,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_34124,c_4642]) ).
tcf(c_34260,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,xl))) = sz00,
inference(superposition,[status(thm)],[c_34124,c_4638]) ).
tcf(c_34261,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,xl),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34124,c_1842]) ).
tcf(c_34262,plain,
sdtasdt0(sdtasdt0(xn,xl),xn) = sdtasdt0(xn,sdtasdt0(xn,xl)),
inference(superposition,[status(thm)],[c_34124,c_1890]) ).
tcf(c_34263,plain,
sdtasdt0(sdtasdt0(xn,xl),xm) = sdtasdt0(xm,sdtasdt0(xn,xl)),
inference(superposition,[status(thm)],[c_34124,c_1889]) ).
tcf(c_34264,plain,
sdtasdt0(sdtasdt0(xn,xl),xl) = sdtasdt0(xl,sdtasdt0(xn,xl)),
inference(superposition,[status(thm)],[c_34124,c_1888]) ).
tcf(c_34265,plain,
sdtasdt0(sdtasdt0(xn,xl),sz00) = sdtasdt0(sz00,sdtasdt0(xn,xl)),
inference(superposition,[status(thm)],[c_34124,c_1885]) ).
tcf(c_34266,plain,
sdtpldt0(sdtasdt0(xn,xl),xn) = sdtpldt0(xn,sdtasdt0(xn,xl)),
inference(superposition,[status(thm)],[c_34124,c_1868]) ).
tcf(c_34267,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,xl)),sdtasdt0(X1,sdtasdt0(xn,xl))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,xl)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34124,c_65]) ).
tcf(c_34268,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,xl),X0),sdtasdt0(sdtasdt0(xn,xl),X1)) = sdtasdt0(sdtasdt0(xn,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34124,c_64]) ).
tcf(c_34269,plain,
sdtpldt0(sdtasdt0(xn,xl),xm) = sdtpldt0(xm,sdtasdt0(xn,xl)),
inference(superposition,[status(thm)],[c_34124,c_1867]) ).
tcf(c_34270,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xl),X0),X1) = sdtasdt0(sdtasdt0(xn,xl),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34124,c_59]) ).
tcf(c_34271,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,xl),X0),X1) = sdtpldt0(sdtasdt0(xn,xl),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34124,c_55]) ).
tcf(c_34272,plain,
sdtpldt0(sdtasdt0(xn,xl),xl) = sdtpldt0(xl,sdtasdt0(xn,xl)),
inference(superposition,[status(thm)],[c_34124,c_1866]) ).
tcf(c_34273,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xl) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,xl),X0),sdtasdt0(xn,xl)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34124,c_153]) ).
tcf(c_34274,plain,
sdtpldt0(sdtasdt0(xn,xl),sz00) = sdtpldt0(sz00,sdtasdt0(xn,xl)),
inference(superposition,[status(thm)],[c_34124,c_1863]) ).
tcf(c_34275,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xl),X0) = sdtasdt0(X0,sdtasdt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34124,c_58]) ).
tcf(c_34276,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xl),X0) = sdtpldt0(X0,sdtasdt0(xn,xl)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34124,c_54]) ).
tcf(c_34279,plain,
sdtpldt0(sz00,sdtasdt0(xn,xl)) = sdtasdt0(xn,xl),
inference(superposition,[status(thm)],[c_34124,c_57]) ).
tcf(c_34280,plain,
sdtpldt0(sdtasdt0(xn,xl),sz00) = sdtasdt0(xn,xl),
inference(superposition,[status(thm)],[c_34124,c_56]) ).
tcf(c_34429,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xn,xl)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34242,c_68]) ).
tcf(c_34436,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xn,xl)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34243,c_68]) ).
tcf(c_34443,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xn,xl)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34244,c_68]) ).
tcf(c_34488,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xn,xl)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34247,c_69]) ).
tcf(c_34495,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xn,xl)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34248,c_69]) ).
tcf(c_34502,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xn,xl)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34249,c_69]) ).
tcf(c_34516,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34252,c_68]) ).
tcf(c_34523,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34253,c_68]) ).
tcf(c_34530,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34254,c_68]) ).
tcf(c_34538,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_34279,c_66]) ).
tcf(c_34539,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_34279,c_67]) ).
tcf(c_34547,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_34280,c_66]) ).
tcf(c_34548,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_34280,c_67]) ).
tcf(c_34549,plain,
aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_21447,c_103,c_102,c_49,c_1930,c_21447]) ).
tcf(c_34551,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_1825,c_34549]) ).
tcf(c_34552,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34549,c_7192]) ).
tcf(c_34553,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34549,c_7191]) ).
tcf(c_34554,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34549,c_7190]) ).
tcf(c_34555,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34549,c_7186]) ).
tcf(c_34556,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34549,c_1856]) ).
tcf(c_34557,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34549,c_6323]) ).
tcf(c_34558,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34549,c_6322]) ).
tcf(c_34559,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34549,c_6321]) ).
tcf(c_34560,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34549,c_6317]) ).
tcf(c_34561,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34549,c_1855]) ).
tcf(c_34562,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34549,c_5582]) ).
tcf(c_34563,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34549,c_5581]) ).
tcf(c_34564,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34549,c_5580]) ).
tcf(c_34565,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34549,c_5576]) ).
tcf(c_34566,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34549,c_1843]) ).
tcf(c_34567,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34549,c_4644]) ).
tcf(c_34568,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34549,c_4643]) ).
tcf(c_34569,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34549,c_4642]) ).
tcf(c_34570,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_34549,c_4638]) ).
tcf(c_34571,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34549,c_1842]) ).
tcf(c_34572,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_34549,c_1890]) ).
tcf(c_34573,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_34549,c_1889]) ).
tcf(c_34574,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_34549,c_1888]) ).
tcf(c_34575,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_34549,c_1885]) ).
tcf(c_34576,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_34549,c_1868]) ).
tcf(c_34577,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xm))),sdtasdt0(X1,sdtasdt0(xn,sdtpldt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34549,c_65]) ).
tcf(c_34578,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),X0),sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),X1)) = sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34549,c_64]) ).
tcf(c_34579,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_34549,c_1867]) ).
tcf(c_34580,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34549,c_59]) ).
tcf(c_34581,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34549,c_55]) ).
tcf(c_34582,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_34549,c_1866]) ).
tcf(c_34583,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),X0),sdtasdt0(xn,sdtpldt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34549,c_153]) ).
tcf(c_34584,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xm))),
inference(superposition,[status(thm)],[c_34549,c_1863]) ).
tcf(c_34585,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34549,c_58]) ).
tcf(c_34586,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34549,c_54]) ).
tcf(c_34589,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xm))) = sdtasdt0(xn,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_34549,c_57]) ).
tcf(c_34590,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),sz00) = sdtasdt0(xn,sdtpldt0(sz00,xm)),
inference(superposition,[status(thm)],[c_34549,c_56]) ).
tcf(c_34680,plain,
aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_21455,c_103,c_49,c_1933,c_21455]) ).
tcf(c_34682,plain,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(superposition,[status(thm)],[c_1826,c_34680]) ).
tcf(c_34683,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34680,c_7192]) ).
tcf(c_34684,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34680,c_7191]) ).
tcf(c_34685,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34680,c_7190]) ).
tcf(c_34686,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34680,c_7186]) ).
tcf(c_34687,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34680,c_1856]) ).
tcf(c_34688,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_34680,c_6323]) ).
tcf(c_34689,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_34680,c_6322]) ).
tcf(c_34690,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_34680,c_6321]) ).
tcf(c_34691,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_34680,c_6317]) ).
tcf(c_34692,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34680,c_1855]) ).
tcf(c_34693,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34680,c_5582]) ).
tcf(c_34694,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34680,c_5581]) ).
tcf(c_34695,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34680,c_5580]) ).
tcf(c_34696,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_34680,c_5576]) ).
tcf(c_34697,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34680,c_1843]) ).
tcf(c_34698,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_34680,c_4644]) ).
tcf(c_34699,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_34680,c_4643]) ).
tcf(c_34700,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_34680,c_4642]) ).
tcf(c_34701,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_34680,c_4638]) ).
tcf(c_34702,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34680,c_1842]) ).
tcf(c_34703,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_34680,c_1890]) ).
tcf(c_34704,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_34680,c_1889]) ).
tcf(c_34705,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_34680,c_1888]) ).
tcf(c_34706,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_34680,c_1885]) ).
tcf(c_34707,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_34680,c_1868]) ).
tcf(c_34708,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xn))),sdtasdt0(X1,sdtasdt0(xn,sdtpldt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34680,c_65]) ).
tcf(c_34709,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),X0),sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),X1)) = sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34680,c_64]) ).
tcf(c_34710,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_34680,c_1867]) ).
tcf(c_34711,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34680,c_59]) ).
tcf(c_34712,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34680,c_55]) ).
tcf(c_34713,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_34680,c_1866]) ).
tcf(c_34714,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),X0),sdtasdt0(xn,sdtpldt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34680,c_153]) ).
tcf(c_34715,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xn))),
inference(superposition,[status(thm)],[c_34680,c_1863]) ).
tcf(c_34716,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34680,c_58]) ).
tcf(c_34717,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34680,c_54]) ).
tcf(c_34720,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,xn))) = sdtasdt0(xn,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_34680,c_57]) ).
tcf(c_34721,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),sz00) = sdtasdt0(xn,sdtpldt0(sz00,xn)),
inference(superposition,[status(thm)],[c_34680,c_56]) ).
tcf(c_34833,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34551,c_7192]) ).
tcf(c_34834,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34551,c_7191]) ).
tcf(c_34835,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34551,c_7190]) ).
tcf(c_34836,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34551,c_7186]) ).
tcf(c_34837,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34551,c_1856]) ).
tcf(c_34838,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_34551,c_6323]) ).
tcf(c_34839,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_34551,c_6322]) ).
tcf(c_34840,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_34551,c_6321]) ).
tcf(c_34841,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_34551,c_6317]) ).
tcf(c_34842,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34551,c_1855]) ).
tcf(c_34843,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34551,c_5582]) ).
tcf(c_34844,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34551,c_5581]) ).
tcf(c_34845,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34551,c_5580]) ).
tcf(c_34846,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34551,c_5576]) ).
tcf(c_34847,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34551,c_1843]) ).
tcf(c_34848,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_34551,c_4644]) ).
tcf(c_34849,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_34551,c_4643]) ).
tcf(c_34850,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_34551,c_4642]) ).
tcf(c_34851,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,xm))) = sz00,
inference(superposition,[status(thm)],[c_34551,c_4638]) ).
tcf(c_34852,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,xm),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34551,c_1842]) ).
tcf(c_34853,plain,
sdtasdt0(sdtasdt0(xn,xm),xn) = sdtasdt0(xn,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_34551,c_1890]) ).
tcf(c_34854,plain,
sdtasdt0(sdtasdt0(xn,xm),xm) = sdtasdt0(xm,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_34551,c_1889]) ).
tcf(c_34855,plain,
sdtasdt0(sdtasdt0(xn,xm),xl) = sdtasdt0(xl,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_34551,c_1888]) ).
tcf(c_34856,plain,
sdtasdt0(sdtasdt0(xn,xm),sz00) = sdtasdt0(sz00,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_34551,c_1885]) ).
tcf(c_34857,plain,
sdtpldt0(sdtasdt0(xn,xm),xn) = sdtpldt0(xn,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_34551,c_1868]) ).
tcf(c_34858,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,xm)),sdtasdt0(X1,sdtasdt0(xn,xm))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34551,c_65]) ).
tcf(c_34859,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(sdtasdt0(xn,xm),X1)) = sdtasdt0(sdtasdt0(xn,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34551,c_64]) ).
tcf(c_34860,plain,
sdtpldt0(sdtasdt0(xn,xm),xm) = sdtpldt0(xm,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_34551,c_1867]) ).
tcf(c_34861,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xm),X0),X1) = sdtasdt0(sdtasdt0(xn,xm),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34551,c_59]) ).
tcf(c_34862,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,xm),X0),X1) = sdtpldt0(sdtasdt0(xn,xm),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34551,c_55]) ).
tcf(c_34863,plain,
sdtpldt0(sdtasdt0(xn,xm),xl) = sdtpldt0(xl,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_34551,c_1866]) ).
tcf(c_34864,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xm) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,xm),X0),sdtasdt0(xn,xm)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34551,c_153]) ).
tcf(c_34865,plain,
sdtpldt0(sdtasdt0(xn,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xn,xm)),
inference(superposition,[status(thm)],[c_34551,c_1863]) ).
tcf(c_34866,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xm),X0) = sdtasdt0(X0,sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34551,c_58]) ).
tcf(c_34867,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xm),X0) = sdtpldt0(X0,sdtasdt0(xn,xm)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34551,c_54]) ).
tcf(c_34870,plain,
sdtpldt0(sz00,sdtasdt0(xn,xm)) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_34551,c_57]) ).
tcf(c_34871,plain,
sdtpldt0(sdtasdt0(xn,xm),sz00) = sdtasdt0(xn,xm),
inference(superposition,[status(thm)],[c_34551,c_56]) ).
tcf(c_34946,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34682,c_7192]) ).
tcf(c_34947,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34682,c_7191]) ).
tcf(c_34948,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34682,c_7190]) ).
tcf(c_34949,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34682,c_7186]) ).
tcf(c_34950,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34682,c_1856]) ).
tcf(c_34951,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_34682,c_6323]) ).
tcf(c_34952,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_34682,c_6322]) ).
tcf(c_34953,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_34682,c_6321]) ).
tcf(c_34954,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_34682,c_6317]) ).
tcf(c_34955,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34682,c_1855]) ).
tcf(c_34956,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34682,c_5582]) ).
tcf(c_34957,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34682,c_5581]) ).
tcf(c_34958,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34682,c_5580]) ).
tcf(c_34959,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,xn)),sz00) = sz00,
inference(superposition,[status(thm)],[c_34682,c_5576]) ).
tcf(c_34960,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,xn),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34682,c_1843]) ).
tcf(c_34961,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_34682,c_4644]) ).
tcf(c_34962,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_34682,c_4643]) ).
tcf(c_34963,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_34682,c_4642]) ).
tcf(c_34964,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,xn))) = sz00,
inference(superposition,[status(thm)],[c_34682,c_4638]) ).
tcf(c_34965,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,xn),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34682,c_1842]) ).
tcf(c_34966,plain,
sdtasdt0(sdtasdt0(xn,xn),xn) = sdtasdt0(xn,sdtasdt0(xn,xn)),
inference(superposition,[status(thm)],[c_34682,c_1890]) ).
tcf(c_34967,plain,
sdtasdt0(sdtasdt0(xn,xn),xm) = sdtasdt0(xm,sdtasdt0(xn,xn)),
inference(superposition,[status(thm)],[c_34682,c_1889]) ).
tcf(c_34968,plain,
sdtasdt0(sdtasdt0(xn,xn),xl) = sdtasdt0(xl,sdtasdt0(xn,xn)),
inference(superposition,[status(thm)],[c_34682,c_1888]) ).
tcf(c_34969,plain,
sdtasdt0(sdtasdt0(xn,xn),sz00) = sdtasdt0(sz00,sdtasdt0(xn,xn)),
inference(superposition,[status(thm)],[c_34682,c_1885]) ).
tcf(c_34970,plain,
sdtpldt0(sdtasdt0(xn,xn),xn) = sdtpldt0(xn,sdtasdt0(xn,xn)),
inference(superposition,[status(thm)],[c_34682,c_1868]) ).
tcf(c_34971,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,xn)),sdtasdt0(X1,sdtasdt0(xn,xn))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,xn)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34682,c_65]) ).
tcf(c_34972,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,xn),X0),sdtasdt0(sdtasdt0(xn,xn),X1)) = sdtasdt0(sdtasdt0(xn,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34682,c_64]) ).
tcf(c_34973,plain,
sdtpldt0(sdtasdt0(xn,xn),xm) = sdtpldt0(xm,sdtasdt0(xn,xn)),
inference(superposition,[status(thm)],[c_34682,c_1867]) ).
tcf(c_34974,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,xn),X0),X1) = sdtasdt0(sdtasdt0(xn,xn),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34682,c_59]) ).
tcf(c_34975,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,xn),X0),X1) = sdtpldt0(sdtasdt0(xn,xn),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34682,c_55]) ).
tcf(c_34976,plain,
sdtpldt0(sdtasdt0(xn,xn),xl) = sdtpldt0(xl,sdtasdt0(xn,xn)),
inference(superposition,[status(thm)],[c_34682,c_1866]) ).
tcf(c_34977,plain,
! [X0: $i] :
( ( sdtasdt0(xn,xn) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,xn),X0),sdtasdt0(xn,xn)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34682,c_153]) ).
tcf(c_34978,plain,
sdtpldt0(sdtasdt0(xn,xn),sz00) = sdtpldt0(sz00,sdtasdt0(xn,xn)),
inference(superposition,[status(thm)],[c_34682,c_1863]) ).
tcf(c_34979,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,xn),X0) = sdtasdt0(X0,sdtasdt0(xn,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34682,c_58]) ).
tcf(c_34980,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,xn),X0) = sdtpldt0(X0,sdtasdt0(xn,xn)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_34682,c_54]) ).
tcf(c_34983,plain,
sdtpldt0(sz00,sdtasdt0(xn,xn)) = sdtasdt0(xn,xn),
inference(superposition,[status(thm)],[c_34682,c_57]) ).
tcf(c_34984,plain,
sdtpldt0(sdtasdt0(xn,xn),sz00) = sdtasdt0(xn,xn),
inference(superposition,[status(thm)],[c_34682,c_56]) ).
tcf(c_35046,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xl)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,xl)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34255,c_68]) ).
tcf(c_35054,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34257,c_69]) ).
tcf(c_35061,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34258,c_69]) ).
tcf(c_35068,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xn,xl)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xn,xl)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xn,xl))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34259,c_69]) ).
tcf(c_35076,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_34260,c_69]) ).
tcf(c_35082,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xn,xm)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34833,c_68]) ).
tcf(c_35089,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xn,xm)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34834,c_68]) ).
tcf(c_35096,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xn,xm)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34835,c_68]) ).
tcf(c_35112,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34838,c_69]) ).
tcf(c_35119,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_34870,c_66]) ).
tcf(c_35120,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_34870,c_67]) ).
tcf(c_35128,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_34871,c_66]) ).
tcf(c_35129,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_34871,c_67]) ).
tcf(c_35135,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_34983,c_66]) ).
tcf(c_35136,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_34983,c_67]) ).
tcf(c_35189,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_34984,c_66]) ).
tcf(c_35190,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_34984,c_67]) ).
tcf(c_35197,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34839,c_69]) ).
tcf(c_35204,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34840,c_69]) ).
tcf(c_35218,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xn,xm)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34843,c_68]) ).
tcf(c_35225,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xn,xm)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34844,c_68]) ).
tcf(c_35232,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xn,xm)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34845,c_68]) ).
tcf(c_35240,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xm)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,xm)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34846,c_68]) ).
tcf(c_35248,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34848,c_69]) ).
tcf(c_35255,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34849,c_69]) ).
tcf(c_35262,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xn,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xn,xm)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xn,xm))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34850,c_69]) ).
tcf(c_35270,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_34851,c_69]) ).
tcf(c_35275,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xn,xn)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34946,c_68]) ).
tcf(c_35277,plain,
aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_21482,c_103,c_102,c_101,c_2131,c_21482]) ).
tcf(c_35279,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35277,c_7192]) ).
tcf(c_35280,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35277,c_7191]) ).
tcf(c_35281,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35277,c_7190]) ).
tcf(c_35282,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35277,c_7186]) ).
tcf(c_35283,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35277,c_1856]) ).
tcf(c_35284,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35277,c_6323]) ).
tcf(c_35285,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35277,c_6322]) ).
tcf(c_35286,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35277,c_6321]) ).
tcf(c_35287,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35277,c_6317]) ).
tcf(c_35288,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35277,c_1855]) ).
tcf(c_35289,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35277,c_5582]) ).
tcf(c_35290,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35277,c_5581]) ).
tcf(c_35291,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35277,c_5580]) ).
tcf(c_35292,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35277,c_5576]) ).
tcf(c_35293,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35277,c_1843]) ).
tcf(c_35294,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35277,c_4644]) ).
tcf(c_35295,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35277,c_4643]) ).
tcf(c_35296,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35277,c_4642]) ).
tcf(c_35297,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35277,c_4638]) ).
tcf(c_35298,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35277,c_1842]) ).
tcf(c_35299,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_35277,c_1890]) ).
tcf(c_35300,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_35277,c_1889]) ).
tcf(c_35301,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_35277,c_1888]) ).
tcf(c_35302,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_35277,c_1885]) ).
tcf(c_35303,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xm)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_35277,c_1868]) ).
tcf(c_35304,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,xm))),sdtasdt0(X1,sdtasdt0(xn,sdtpldt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35277,c_65]) ).
tcf(c_35305,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),X0),sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),X1)) = sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35277,c_64]) ).
tcf(c_35306,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xm)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_35277,c_1867]) ).
tcf(c_35307,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35277,c_59]) ).
tcf(c_35308,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xm)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35277,c_55]) ).
tcf(c_35309,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xm)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_35277,c_1866]) ).
tcf(c_35310,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),X0),sdtasdt0(xn,sdtpldt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35277,c_153]) ).
tcf(c_35311,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xm))),
inference(superposition,[status(thm)],[c_35277,c_1863]) ).
tcf(c_35312,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xm)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35277,c_58]) ).
tcf(c_35313,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xm)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35277,c_54]) ).
tcf(c_35316,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xm))) = sdtasdt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_35277,c_57]) ).
tcf(c_35317,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xm)),sz00) = sdtasdt0(xn,sdtpldt0(xl,xm)),
inference(superposition,[status(thm)],[c_35277,c_56]) ).
tcf(c_35391,plain,
aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_21542,c_103,c_101,c_2146,c_21542]) ).
tcf(c_35393,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35391,c_7192]) ).
tcf(c_35394,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35391,c_7191]) ).
tcf(c_35395,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35391,c_7190]) ).
tcf(c_35396,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35391,c_7186]) ).
tcf(c_35397,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35391,c_1856]) ).
tcf(c_35398,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_35391,c_6323]) ).
tcf(c_35399,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_35391,c_6322]) ).
tcf(c_35400,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_35391,c_6321]) ).
tcf(c_35401,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_35391,c_6317]) ).
tcf(c_35402,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35391,c_1855]) ).
tcf(c_35403,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35391,c_5582]) ).
tcf(c_35404,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35391,c_5581]) ).
tcf(c_35405,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35391,c_5580]) ).
tcf(c_35406,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35391,c_5576]) ).
tcf(c_35407,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35391,c_1843]) ).
tcf(c_35408,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_35391,c_4644]) ).
tcf(c_35409,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_35391,c_4643]) ).
tcf(c_35410,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_35391,c_4642]) ).
tcf(c_35411,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_35391,c_4638]) ).
tcf(c_35412,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35391,c_1842]) ).
tcf(c_35413,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_35391,c_1890]) ).
tcf(c_35414,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_35391,c_1889]) ).
tcf(c_35415,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_35391,c_1888]) ).
tcf(c_35416,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_35391,c_1885]) ).
tcf(c_35417,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xn)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_35391,c_1868]) ).
tcf(c_35418,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,xn))),sdtasdt0(X1,sdtasdt0(xn,sdtpldt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35391,c_65]) ).
tcf(c_35419,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),X0),sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),X1)) = sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35391,c_64]) ).
tcf(c_35420,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xn)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_35391,c_1867]) ).
tcf(c_35421,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35391,c_59]) ).
tcf(c_35422,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xn)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35391,c_55]) ).
tcf(c_35423,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xn)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_35391,c_1866]) ).
tcf(c_35424,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),X0),sdtasdt0(xn,sdtpldt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35391,c_153]) ).
tcf(c_35425,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xn))),
inference(superposition,[status(thm)],[c_35391,c_1863]) ).
tcf(c_35426,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xn)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35391,c_58]) ).
tcf(c_35427,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xn)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35391,c_54]) ).
tcf(c_35430,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xn))) = sdtasdt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_35391,c_57]) ).
tcf(c_35431,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xn)),sz00) = sdtasdt0(xn,sdtpldt0(xl,xn)),
inference(superposition,[status(thm)],[c_35391,c_56]) ).
tcf(c_35662,plain,
aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xl))),
inference(global_subsumption_just,[status(thm)],[c_21551,c_103,c_101,c_49,c_3063,c_21551]) ).
tcf(c_35664,plain,
aNaturalNumber0(sdtasdt0(xn,sz00)),
inference(superposition,[status(thm)],[c_1832,c_35662]) ).
tcf(c_35665,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35662,c_7192]) ).
tcf(c_35666,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35662,c_7191]) ).
tcf(c_35667,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35662,c_7190]) ).
tcf(c_35668,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35662,c_7186]) ).
tcf(c_35669,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35662,c_1856]) ).
tcf(c_35670,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35662,c_6323]) ).
tcf(c_35671,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35662,c_6322]) ).
tcf(c_35672,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35662,c_6321]) ).
tcf(c_35673,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35662,c_6317]) ).
tcf(c_35674,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35662,c_1855]) ).
tcf(c_35675,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35662,c_5582]) ).
tcf(c_35676,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35662,c_5581]) ).
tcf(c_35677,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35662,c_5580]) ).
tcf(c_35678,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35662,c_5576]) ).
tcf(c_35679,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35662,c_1843]) ).
tcf(c_35680,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35662,c_4644]) ).
tcf(c_35681,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35662,c_4643]) ).
tcf(c_35682,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35662,c_4642]) ).
tcf(c_35683,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xl)))) = sz00,
inference(superposition,[status(thm)],[c_35662,c_4638]) ).
tcf(c_35684,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35662,c_1842]) ).
tcf(c_35685,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_35662,c_1890]) ).
tcf(c_35686,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_35662,c_1889]) ).
tcf(c_35687,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_35662,c_1888]) ).
tcf(c_35688,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_35662,c_1885]) ).
tcf(c_35689,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_35662,c_1868]) ).
tcf(c_35690,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xl))),sdtasdt0(X1,sdtasdt0(xn,sdtasdt0(sz00,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35662,c_65]) ).
tcf(c_35691,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),X0),sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),X1)) = sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35662,c_64]) ).
tcf(c_35692,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_35662,c_1867]) ).
tcf(c_35693,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35662,c_59]) ).
tcf(c_35694,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35662,c_55]) ).
tcf(c_35695,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_35662,c_1866]) ).
tcf(c_35696,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(sz00,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),X0),sdtasdt0(xn,sdtasdt0(sz00,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35662,c_153]) ).
tcf(c_35697,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xl))),
inference(superposition,[status(thm)],[c_35662,c_1863]) ).
tcf(c_35698,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35662,c_58]) ).
tcf(c_35699,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35662,c_54]) ).
tcf(c_35702,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xl))) = sdtasdt0(xn,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_35662,c_57]) ).
tcf(c_35703,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),sz00) = sdtasdt0(xn,sdtasdt0(sz00,xl)),
inference(superposition,[status(thm)],[c_35662,c_56]) ).
tcf(c_35855,plain,
aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xm))),
inference(global_subsumption_just,[status(thm)],[c_21590,c_103,c_102,c_49,c_3078,c_21590]) ).
tcf(c_35858,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35855,c_7192]) ).
tcf(c_35859,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35855,c_7191]) ).
tcf(c_35860,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35855,c_7190]) ).
tcf(c_35861,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35855,c_7186]) ).
tcf(c_35862,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35855,c_1856]) ).
tcf(c_35863,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35855,c_6323]) ).
tcf(c_35864,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35855,c_6322]) ).
tcf(c_35865,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35855,c_6321]) ).
tcf(c_35866,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35855,c_6317]) ).
tcf(c_35867,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35855,c_1855]) ).
tcf(c_35868,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35855,c_5582]) ).
tcf(c_35869,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35855,c_5581]) ).
tcf(c_35870,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35855,c_5580]) ).
tcf(c_35871,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_35855,c_5576]) ).
tcf(c_35872,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35855,c_1843]) ).
tcf(c_35873,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35855,c_4644]) ).
tcf(c_35874,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35855,c_4643]) ).
tcf(c_35875,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35855,c_4642]) ).
tcf(c_35876,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xm)))) = sz00,
inference(superposition,[status(thm)],[c_35855,c_4638]) ).
tcf(c_35877,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35855,c_1842]) ).
tcf(c_35878,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_35855,c_1890]) ).
tcf(c_35879,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_35855,c_1889]) ).
tcf(c_35880,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_35855,c_1888]) ).
tcf(c_35881,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_35855,c_1885]) ).
tcf(c_35882,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_35855,c_1868]) ).
tcf(c_35883,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xm))),sdtasdt0(X1,sdtasdt0(xn,sdtasdt0(sz00,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35855,c_65]) ).
tcf(c_35884,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),X0),sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),X1)) = sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35855,c_64]) ).
tcf(c_35885,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_35855,c_1867]) ).
tcf(c_35886,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35855,c_59]) ).
tcf(c_35887,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35855,c_55]) ).
tcf(c_35888,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_35855,c_1866]) ).
tcf(c_35889,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(sz00,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),X0),sdtasdt0(xn,sdtasdt0(sz00,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35855,c_153]) ).
tcf(c_35890,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xm))),
inference(superposition,[status(thm)],[c_35855,c_1863]) ).
tcf(c_35891,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35855,c_58]) ).
tcf(c_35892,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35855,c_54]) ).
tcf(c_35895,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xm))) = sdtasdt0(xn,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_35855,c_57]) ).
tcf(c_35896,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),sz00) = sdtasdt0(xn,sdtasdt0(sz00,xm)),
inference(superposition,[status(thm)],[c_35855,c_56]) ).
tcf(c_35954,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_35664,c_7192]) ).
tcf(c_35955,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_35664,c_7191]) ).
tcf(c_35956,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_35664,c_7190]) ).
tcf(c_35957,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_35664,c_7186]) ).
tcf(c_35958,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35664,c_1856]) ).
tcf(c_35959,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_35664,c_6323]) ).
tcf(c_35960,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_35664,c_6322]) ).
tcf(c_35961,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_35664,c_6321]) ).
tcf(c_35962,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_35664,c_6317]) ).
tcf(c_35963,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35664,c_1855]) ).
tcf(c_35964,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_35664,c_5582]) ).
tcf(c_35965,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_35664,c_5581]) ).
tcf(c_35966,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_35664,c_5580]) ).
tcf(c_35967,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_35664,c_5576]) ).
tcf(c_35968,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sz00),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35664,c_1843]) ).
tcf(c_35969,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_35664,c_4644]) ).
tcf(c_35970,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_35664,c_4643]) ).
tcf(c_35971,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_35664,c_4642]) ).
tcf(c_35972,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sz00))) = sz00,
inference(superposition,[status(thm)],[c_35664,c_4638]) ).
tcf(c_35973,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sz00),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35664,c_1842]) ).
tcf(c_35974,plain,
sdtasdt0(sdtasdt0(xn,sz00),xn) = sdtasdt0(xn,sdtasdt0(xn,sz00)),
inference(superposition,[status(thm)],[c_35664,c_1890]) ).
tcf(c_35975,plain,
sdtasdt0(sdtasdt0(xn,sz00),xm) = sdtasdt0(xm,sdtasdt0(xn,sz00)),
inference(superposition,[status(thm)],[c_35664,c_1889]) ).
tcf(c_35976,plain,
sdtasdt0(sdtasdt0(xn,sz00),xl) = sdtasdt0(xl,sdtasdt0(xn,sz00)),
inference(superposition,[status(thm)],[c_35664,c_1888]) ).
tcf(c_35977,plain,
sdtasdt0(sdtasdt0(xn,sz00),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sz00)),
inference(superposition,[status(thm)],[c_35664,c_1885]) ).
tcf(c_35978,plain,
sdtpldt0(sdtasdt0(xn,sz00),xn) = sdtpldt0(xn,sdtasdt0(xn,sz00)),
inference(superposition,[status(thm)],[c_35664,c_1868]) ).
tcf(c_35979,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sz00)),sdtasdt0(X1,sdtasdt0(xn,sz00))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sz00)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35664,c_65]) ).
tcf(c_35980,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sz00),X0),sdtasdt0(sdtasdt0(xn,sz00),X1)) = sdtasdt0(sdtasdt0(xn,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35664,c_64]) ).
tcf(c_35981,plain,
sdtpldt0(sdtasdt0(xn,sz00),xm) = sdtpldt0(xm,sdtasdt0(xn,sz00)),
inference(superposition,[status(thm)],[c_35664,c_1867]) ).
tcf(c_35982,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sz00),X0),X1) = sdtasdt0(sdtasdt0(xn,sz00),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35664,c_59]) ).
tcf(c_35983,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sz00),X0),X1) = sdtpldt0(sdtasdt0(xn,sz00),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35664,c_55]) ).
tcf(c_35984,plain,
sdtpldt0(sdtasdt0(xn,sz00),xl) = sdtpldt0(xl,sdtasdt0(xn,sz00)),
inference(superposition,[status(thm)],[c_35664,c_1866]) ).
tcf(c_35986,plain,
sdtpldt0(sdtasdt0(xn,sz00),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sz00)),
inference(superposition,[status(thm)],[c_35664,c_1863]) ).
tcf(c_35987,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sz00),X0) = sdtasdt0(X0,sdtasdt0(xn,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35664,c_58]) ).
tcf(c_35988,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sz00),X0) = sdtpldt0(X0,sdtasdt0(xn,sz00)) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_35664,c_54]) ).
tcf(c_35991,plain,
sdtpldt0(sz00,sdtasdt0(xn,sz00)) = sdtasdt0(xn,sz00),
inference(superposition,[status(thm)],[c_35664,c_57]) ).
tcf(c_35992,plain,
sdtpldt0(sdtasdt0(xn,sz00),sz00) = sdtasdt0(xn,sz00),
inference(superposition,[status(thm)],[c_35664,c_56]) ).
tcf(c_36139,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xn,xn)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34947,c_68]) ).
tcf(c_36145,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xn,xn)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34948,c_68]) ).
tcf(c_36159,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xn,xn)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34951,c_69]) ).
tcf(c_36165,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xn,xn)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34952,c_69]) ).
tcf(c_36171,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xn,xn)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34953,c_69]) ).
tcf(c_36183,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xn,xn)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34956,c_68]) ).
tcf(c_36189,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xn,xn)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34957,c_68]) ).
tcf(c_36195,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xn,xn)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34958,c_68]) ).
tcf(c_36202,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,xn)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,xn)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_34959,c_68]) ).
tcf(c_36211,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_35991,c_66]) ).
tcf(c_36212,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_35991,c_67]) ).
tcf(c_36223,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_35992,c_66]) ).
tcf(c_36224,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_35992,c_67]) ).
tcf(c_36225,plain,
aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xn))),
inference(global_subsumption_just,[status(thm)],[c_21597,c_103,c_49,c_3099,c_21597]) ).
tcf(c_36228,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36225,c_7192]) ).
tcf(c_36229,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36225,c_7191]) ).
tcf(c_36230,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36225,c_7190]) ).
tcf(c_36231,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36225,c_7186]) ).
tcf(c_36232,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36225,c_1856]) ).
tcf(c_36233,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_36225,c_6323]) ).
tcf(c_36234,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_36225,c_6322]) ).
tcf(c_36235,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_36225,c_6321]) ).
tcf(c_36236,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_36225,c_6317]) ).
tcf(c_36237,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36225,c_1855]) ).
tcf(c_36238,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36225,c_5582]) ).
tcf(c_36239,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36225,c_5581]) ).
tcf(c_36240,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36225,c_5580]) ).
tcf(c_36241,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36225,c_5576]) ).
tcf(c_36242,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36225,c_1843]) ).
tcf(c_36243,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_36225,c_4644]) ).
tcf(c_36244,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_36225,c_4643]) ).
tcf(c_36245,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_36225,c_4642]) ).
tcf(c_36246,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xn)))) = sz00,
inference(superposition,[status(thm)],[c_36225,c_4638]) ).
tcf(c_36247,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36225,c_1842]) ).
tcf(c_36248,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_36225,c_1890]) ).
tcf(c_36249,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_36225,c_1889]) ).
tcf(c_36250,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_36225,c_1888]) ).
tcf(c_36251,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_36225,c_1885]) ).
tcf(c_36252,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_36225,c_1868]) ).
tcf(c_36253,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xn))),sdtasdt0(X1,sdtasdt0(xn,sdtasdt0(sz00,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36225,c_65]) ).
tcf(c_36254,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),X0),sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),X1)) = sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36225,c_64]) ).
tcf(c_36255,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_36225,c_1867]) ).
tcf(c_36256,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36225,c_59]) ).
tcf(c_36257,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36225,c_55]) ).
tcf(c_36258,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_36225,c_1866]) ).
tcf(c_36259,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(sz00,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),X0),sdtasdt0(xn,sdtasdt0(sz00,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36225,c_153]) ).
tcf(c_36260,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xn))),
inference(superposition,[status(thm)],[c_36225,c_1863]) ).
tcf(c_36261,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36225,c_58]) ).
tcf(c_36262,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36225,c_54]) ).
tcf(c_36265,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,xn))) = sdtasdt0(xn,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_36225,c_57]) ).
tcf(c_36266,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),sz00) = sdtasdt0(xn,sdtasdt0(sz00,xn)),
inference(superposition,[status(thm)],[c_36225,c_56]) ).
tcf(c_36780,plain,
aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xm))),
inference(global_subsumption_just,[status(thm)],[c_21603,c_103,c_102,c_101,c_3642,c_21603]) ).
tcf(c_36782,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36780,c_7192]) ).
tcf(c_36783,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36780,c_7191]) ).
tcf(c_36784,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36780,c_7190]) ).
tcf(c_36785,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36780,c_7186]) ).
tcf(c_36786,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36780,c_1856]) ).
tcf(c_36787,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_36780,c_6323]) ).
tcf(c_36788,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_36780,c_6322]) ).
tcf(c_36789,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_36780,c_6321]) ).
tcf(c_36790,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_36780,c_6317]) ).
tcf(c_36791,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36780,c_1855]) ).
tcf(c_36792,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36780,c_5582]) ).
tcf(c_36793,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36780,c_5581]) ).
tcf(c_36794,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36780,c_5580]) ).
tcf(c_36795,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_36780,c_5576]) ).
tcf(c_36796,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36780,c_1843]) ).
tcf(c_36797,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_36780,c_4644]) ).
tcf(c_36798,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_36780,c_4643]) ).
tcf(c_36799,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_36780,c_4642]) ).
tcf(c_36800,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xm)))) = sz00,
inference(superposition,[status(thm)],[c_36780,c_4638]) ).
tcf(c_36801,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36780,c_1842]) ).
tcf(c_36802,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_36780,c_1890]) ).
tcf(c_36803,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_36780,c_1889]) ).
tcf(c_36804,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_36780,c_1888]) ).
tcf(c_36805,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_36780,c_1885]) ).
tcf(c_36806,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xm)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_36780,c_1868]) ).
tcf(c_36807,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xl,xm))),sdtasdt0(X1,sdtasdt0(xn,sdtasdt0(xl,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36780,c_65]) ).
tcf(c_36808,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),X0),sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),X1)) = sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36780,c_64]) ).
tcf(c_36809,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xm)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_36780,c_1867]) ).
tcf(c_36810,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36780,c_59]) ).
tcf(c_36811,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xm)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36780,c_55]) ).
tcf(c_36812,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xm)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_36780,c_1866]) ).
tcf(c_36813,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(xl,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),X0),sdtasdt0(xn,sdtasdt0(xl,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36780,c_153]) ).
tcf(c_36814,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xm))),
inference(superposition,[status(thm)],[c_36780,c_1863]) ).
tcf(c_36815,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xm)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36780,c_58]) ).
tcf(c_36816,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xm)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtasdt0(xl,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_36780,c_54]) ).
tcf(c_36819,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xm))) = sdtasdt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_36780,c_57]) ).
tcf(c_36820,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xm)),sz00) = sdtasdt0(xn,sdtasdt0(xl,xm)),
inference(superposition,[status(thm)],[c_36780,c_56]) ).
tcf(c_36886,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xn,xn)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34961,c_69]) ).
tcf(c_36892,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xn,xn)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34962,c_69]) ).
tcf(c_36922,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xn,xn)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xn,xn)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xn,xn))) != sz00 ) ),
inference(superposition,[status(thm)],[c_34963,c_69]) ).
tcf(c_36929,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_34964,c_69]) ).
tcf(c_36936,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xn,sz00)))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_35954,c_68]) ).
tcf(c_36944,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xn,sz00)))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_35955,c_68]) ).
tcf(c_36952,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xn,sz00)))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_35956,c_68]) ).
tcf(c_36988,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xn,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_35959,c_69]) ).
tcf(c_36996,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xn,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_35960,c_69]) ).
tcf(c_37004,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xn,sz00)))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_35961,c_69]) ).
tcf(c_37060,plain,
aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xn))),
inference(global_subsumption_just,[status(thm)],[c_21710,c_103,c_101,c_3685,c_21710]) ).
tcf(c_37062,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37060,c_7192]) ).
tcf(c_37063,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37060,c_7191]) ).
tcf(c_37064,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37060,c_7190]) ).
tcf(c_37065,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37060,c_7186]) ).
tcf(c_37066,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37060,c_1856]) ).
tcf(c_37067,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37060,c_6323]) ).
tcf(c_37068,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37060,c_6322]) ).
tcf(c_37069,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37060,c_6321]) ).
tcf(c_37070,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37060,c_6317]) ).
tcf(c_37071,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37060,c_1855]) ).
tcf(c_37072,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37060,c_5582]) ).
tcf(c_37073,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37060,c_5581]) ).
tcf(c_37074,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37060,c_5580]) ).
tcf(c_37075,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37060,c_5576]) ).
tcf(c_37076,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37060,c_1843]) ).
tcf(c_37077,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37060,c_4644]) ).
tcf(c_37078,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37060,c_4643]) ).
tcf(c_37079,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37060,c_4642]) ).
tcf(c_37080,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37060,c_4638]) ).
tcf(c_37081,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37060,c_1842]) ).
tcf(c_37082,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_37060,c_1890]) ).
tcf(c_37083,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_37060,c_1889]) ).
tcf(c_37084,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_37060,c_1888]) ).
tcf(c_37085,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_37060,c_1885]) ).
tcf(c_37086,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xn)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_37060,c_1868]) ).
tcf(c_37087,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xl,xn))),sdtasdt0(X1,sdtasdt0(xn,sdtasdt0(xl,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37060,c_65]) ).
tcf(c_37088,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),X0),sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),X1)) = sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37060,c_64]) ).
tcf(c_37089,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xn)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_37060,c_1867]) ).
tcf(c_37090,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37060,c_59]) ).
tcf(c_37091,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xn)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37060,c_55]) ).
tcf(c_37092,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xn)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_37060,c_1866]) ).
tcf(c_37093,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(xl,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),X0),sdtasdt0(xn,sdtasdt0(xl,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37060,c_153]) ).
tcf(c_37094,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xn))),
inference(superposition,[status(thm)],[c_37060,c_1863]) ).
tcf(c_37095,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,xn)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37060,c_58]) ).
tcf(c_37096,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xn)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtasdt0(xl,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37060,c_54]) ).
tcf(c_37099,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xl,xn))) = sdtasdt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_37060,c_57]) ).
tcf(c_37100,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xn)),sz00) = sdtasdt0(xn,sdtasdt0(xl,xn)),
inference(superposition,[status(thm)],[c_37060,c_56]) ).
tcf(c_37148,plain,
aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,xn))),
inference(global_subsumption_just,[status(thm)],[c_21718,c_103,c_102,c_4128,c_21718]) ).
tcf(c_37150,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37148,c_7192]) ).
tcf(c_37151,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37148,c_7191]) ).
tcf(c_37152,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37148,c_7190]) ).
tcf(c_37153,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37148,c_7186]) ).
tcf(c_37154,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37148,c_1856]) ).
tcf(c_37155,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37148,c_6323]) ).
tcf(c_37156,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37148,c_6322]) ).
tcf(c_37157,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37148,c_6321]) ).
tcf(c_37158,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37148,c_6317]) ).
tcf(c_37159,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37148,c_1855]) ).
tcf(c_37160,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37148,c_5582]) ).
tcf(c_37161,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37148,c_5581]) ).
tcf(c_37162,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37148,c_5580]) ).
tcf(c_37163,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xn))),sz00) = sz00,
inference(superposition,[status(thm)],[c_37148,c_5576]) ).
tcf(c_37164,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,xn)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37148,c_1843]) ).
tcf(c_37165,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37148,c_4644]) ).
tcf(c_37166,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37148,c_4643]) ).
tcf(c_37167,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37148,c_4642]) ).
tcf(c_37168,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xn)))) = sz00,
inference(superposition,[status(thm)],[c_37148,c_4638]) ).
tcf(c_37169,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,xn)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37148,c_1842]) ).
tcf(c_37170,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_37148,c_1890]) ).
tcf(c_37171,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_37148,c_1889]) ).
tcf(c_37172,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_37148,c_1888]) ).
tcf(c_37173,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_37148,c_1885]) ).
tcf(c_37174,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,xn)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_37148,c_1868]) ).
tcf(c_37175,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xm,xn))),sdtasdt0(X1,sdtasdt0(xn,sdtasdt0(xm,xn)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37148,c_65]) ).
tcf(c_37176,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),X0),sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),X1)) = sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37148,c_64]) ).
tcf(c_37177,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,xn)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_37148,c_1867]) ).
tcf(c_37178,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37148,c_59]) ).
tcf(c_37179,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,xn)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,xn)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37148,c_55]) ).
tcf(c_37180,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,xn)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_37148,c_1866]) ).
tcf(c_37181,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(xm,xn)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),X0),sdtasdt0(xn,sdtasdt0(xm,xn))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37148,c_153]) ).
tcf(c_37182,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,xn)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xn))),
inference(superposition,[status(thm)],[c_37148,c_1863]) ).
tcf(c_37183,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,xn)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37148,c_58]) ).
tcf(c_37184,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,xn)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtasdt0(xm,xn))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_37148,c_54]) ).
tcf(c_37187,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtasdt0(xm,xn))) = sdtasdt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_37148,c_57]) ).
tcf(c_37188,plain,
sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,xn)),sz00) = sdtasdt0(xn,sdtasdt0(xm,xn)),
inference(superposition,[status(thm)],[c_37148,c_56]) ).
tcf(c_37302,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_22155,c_66]) ).
tcf(c_37303,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xm,xn))) != sdtasdt0(xl,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_22155,c_67]) ).
tcf(c_37310,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn)))
| ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xn)),X0) != sdtasdt0(xl,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_22156,c_66]) ).
tcf(c_37311,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xn)))
| ( sdtasdt0(xl,sdtpldt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_22156,c_67]) ).
tcf(c_37318,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xn,sz00)))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_35964,c_68]) ).
tcf(c_37326,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xn,sz00)))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_35965,c_68]) ).
tcf(c_37334,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xn,sz00)))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_35966,c_68]) ).
tcf(c_37343,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xn,sz00)))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sz00)),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_35967,c_68]) ).
tcf(c_37352,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xn,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_35969,c_69]) ).
tcf(c_37360,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xn,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_35970,c_69]) ).
tcf(c_37489,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(xn,sz00)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xn,sz00)))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(xn,sz00))) != sz00 ) ),
inference(superposition,[status(thm)],[c_35971,c_69]) ).
tcf(c_37498,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_35972,c_69]) ).
tcf(c_37505,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10237,c_69]) ).
tcf(c_37512,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10238,c_69]) ).
tcf(c_37519,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10239,c_69]) ).
tcf(c_37527,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_10240,c_69]) ).
tcf(c_37534,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xl)))
| ( sdtasdt0(xl,sdtpldt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_22555,c_66]) ).
tcf(c_37535,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xl)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xl))) != sdtasdt0(xl,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_22555,c_67]) ).
tcf(c_37543,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xl)))
| ( sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xl)),X0) != sdtasdt0(xl,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_22556,c_66]) ).
tcf(c_37544,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xl)))
| ( sdtasdt0(xl,sdtpldt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_22556,c_67]) ).
tcf(c_37551,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xm)))
| ( sdtasdt0(xl,sdtpldt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_22757,c_66]) ).
tcf(c_37552,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xm)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xm))) != sdtasdt0(xl,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_22757,c_67]) ).
tcf(c_37560,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xm)))
| ( sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xm)),X0) != sdtasdt0(xl,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_22758,c_66]) ).
tcf(c_37561,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xm)))
| ( sdtasdt0(xl,sdtpldt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_22758,c_67]) ).
tcf(c_37565,plain,
( ( sz00 = xn )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(xn,sdtpldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10602,c_72]) ).
tcf(c_37566,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_10602,c_53]) ).
tcf(c_37567,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(sdtpldt0(xm,xl),X0) != sdtasdt0(xn,sdtpldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_10602,c_68]) ).
tcf(c_37568,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(xn,sdtpldt0(xm,xl)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_10602,c_69]) ).
tcf(c_37574,plain,
( ( sz00 = xm )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(xm,sdtpldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10603,c_72]) ).
tcf(c_37575,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_10603,c_53]) ).
tcf(c_37576,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(sdtpldt0(xm,xl),X0) != sdtasdt0(xm,sdtpldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_10603,c_68]) ).
tcf(c_37577,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(xm,sdtpldt0(xm,xl)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_10603,c_69]) ).
tcf(c_37583,plain,
( ( sz00 = xl )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(xl,sdtpldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10604,c_72]) ).
tcf(c_37584,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_10604,c_53]) ).
tcf(c_37585,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(sdtpldt0(xm,xl),X0) != sdtasdt0(xl,sdtpldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_10604,c_68]) ).
tcf(c_37586,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(xl,sdtpldt0(xm,xl)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_10604,c_69]) ).
tcf(c_37644,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xm,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_10605,c_53]) ).
tcf(c_37645,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtasdt0(sdtpldt0(xm,xl),X0) != sdtasdt0(sz00,sdtpldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_10605,c_68]) ).
tcf(c_37651,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(xn,sdtpldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10606,c_71]) ).
tcf(c_37652,plain,
( ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(xn,sdtpldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10606,c_70]) ).
tcf(c_37653,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_10606,c_52]) ).
tcf(c_37654,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(sdtpldt0(xm,xl),X0) != sdtpldt0(xn,sdtpldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_10606,c_66]) ).
tcf(c_37655,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(xn,sdtpldt0(xm,xl)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_10606,c_67]) ).
tcf(c_37661,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(xm,sdtpldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10609,c_71]) ).
tcf(c_37662,plain,
( ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(xm,sdtpldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10609,c_70]) ).
tcf(c_37663,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_10609,c_52]) ).
tcf(c_37664,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(sdtpldt0(xm,xl),X0) != sdtpldt0(xm,sdtpldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_10609,c_66]) ).
tcf(c_37665,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(xm,sdtpldt0(xm,xl)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_10609,c_67]) ).
tcf(c_37671,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(xl,sdtpldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10612,c_71]) ).
tcf(c_37672,plain,
( ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(xl,sdtpldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10612,c_70]) ).
tcf(c_37673,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_10612,c_52]) ).
tcf(c_37674,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(sdtpldt0(xm,xl),X0) != sdtpldt0(xl,sdtpldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_10612,c_66]) ).
tcf(c_37675,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(xl,sdtpldt0(xm,xl)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_10612,c_67]) ).
tcf(c_37683,plain,
( ( sdtpldt0(xm,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(sz00,sdtpldt0(xm,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10614,c_70]) ).
tcf(c_37684,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xl)) ),
inference(superposition,[status(thm)],[c_10614,c_52]) ).
tcf(c_37685,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(sdtpldt0(xm,xl),X0) != sdtpldt0(sz00,sdtpldt0(xm,xl)) ) ),
inference(superposition,[status(thm)],[c_10614,c_66]) ).
tcf(c_37686,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xl))
| ( sdtpldt0(sz00,sdtpldt0(xm,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_10614,c_67]) ).
tcf(c_37691,plain,
( ( sz00 = xn )
| ( sdtpldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtasdt0(xn,sdtpldt0(xm,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10650,c_72]) ).
tcf(c_37692,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_10650,c_53]) ).
tcf(c_37693,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtasdt0(sdtpldt0(xm,xm),X0) != sdtasdt0(xn,sdtpldt0(xm,xm)) ) ),
inference(superposition,[status(thm)],[c_10650,c_68]) ).
tcf(c_37694,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtpldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtasdt0(xn,sdtpldt0(xm,xm)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_10650,c_69]) ).
tcf(c_37699,plain,
( ( sz00 = xm )
| ( sdtpldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtasdt0(xm,sdtpldt0(xm,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10651,c_72]) ).
tcf(c_37700,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_10651,c_53]) ).
tcf(c_37701,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtasdt0(sdtpldt0(xm,xm),X0) != sdtasdt0(xm,sdtpldt0(xm,xm)) ) ),
inference(superposition,[status(thm)],[c_10651,c_68]) ).
tcf(c_37702,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtpldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtasdt0(xm,sdtpldt0(xm,xm)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_10651,c_69]) ).
tcf(c_37756,plain,
( ( sz00 = xl )
| ( sdtpldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtasdt0(xl,sdtpldt0(xm,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10652,c_72]) ).
tcf(c_37757,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_10652,c_53]) ).
tcf(c_37758,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtasdt0(sdtpldt0(xm,xm),X0) != sdtasdt0(xl,sdtpldt0(xm,xm)) ) ),
inference(superposition,[status(thm)],[c_10652,c_68]) ).
tcf(c_37759,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtpldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtasdt0(xl,sdtpldt0(xm,xm)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_10652,c_69]) ).
tcf(c_37766,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xm,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_10653,c_53]) ).
tcf(c_37767,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtasdt0(sdtpldt0(xm,xm),X0) != sdtasdt0(sz00,sdtpldt0(xm,xm)) ) ),
inference(superposition,[status(thm)],[c_10653,c_68]) ).
tcf(c_37776,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xn)))
| ( sdtasdt0(xl,sdtpldt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_22962,c_66]) ).
tcf(c_37777,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xn)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(sz00,xn))) != sdtasdt0(xl,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_22962,c_67]) ).
tcf(c_37785,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xn)))
| ( sdtpldt0(sdtasdt0(xl,sdtpldt0(sz00,xn)),X0) != sdtasdt0(xl,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_22963,c_66]) ).
tcf(c_37786,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,xn)))
| ( sdtasdt0(xl,sdtpldt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_22963,c_67]) ).
tcf(c_37792,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm)))
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_23092,c_66]) ).
tcf(c_37793,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xl,xm))) != sdtasdt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_23092,c_67]) ).
tcf(c_37800,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xm)),X0) != sdtasdt0(xl,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_23093,c_66]) ).
tcf(c_37801,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xm)))
| ( sdtasdt0(xl,sdtpldt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_23093,c_67]) ).
tcf(c_37804,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(xn,sdtpldt0(xm,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10654,c_71]) ).
tcf(c_37805,plain,
( ( sdtpldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(xn,sdtpldt0(xm,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10654,c_70]) ).
tcf(c_37806,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_10654,c_52]) ).
tcf(c_37807,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(sdtpldt0(xm,xm),X0) != sdtpldt0(xn,sdtpldt0(xm,xm)) ) ),
inference(superposition,[status(thm)],[c_10654,c_66]) ).
tcf(c_37808,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(xn,sdtpldt0(xm,xm)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_10654,c_67]) ).
tcf(c_37813,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(xm,sdtpldt0(xm,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10657,c_71]) ).
tcf(c_37814,plain,
( ( sdtpldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(xm,sdtpldt0(xm,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10657,c_70]) ).
tcf(c_37815,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_10657,c_52]) ).
tcf(c_37816,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(sdtpldt0(xm,xm),X0) != sdtpldt0(xm,sdtpldt0(xm,xm)) ) ),
inference(superposition,[status(thm)],[c_10657,c_66]) ).
tcf(c_37817,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(xm,sdtpldt0(xm,xm)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_10657,c_67]) ).
tcf(c_37822,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(xl,sdtpldt0(xm,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10660,c_71]) ).
tcf(c_37823,plain,
( ( sdtpldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(xl,sdtpldt0(xm,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10660,c_70]) ).
tcf(c_37824,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_10660,c_52]) ).
tcf(c_37825,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(sdtpldt0(xm,xm),X0) != sdtpldt0(xl,sdtpldt0(xm,xm)) ) ),
inference(superposition,[status(thm)],[c_10660,c_66]) ).
tcf(c_37826,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(xl,sdtpldt0(xm,xm)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_10660,c_67]) ).
tcf(c_37876,plain,
( ( sdtpldt0(xm,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(sz00,sdtpldt0(xm,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_10662,c_70]) ).
tcf(c_37877,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xm,xm)) ),
inference(superposition,[status(thm)],[c_10662,c_52]) ).
tcf(c_37878,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(sdtpldt0(xm,xm),X0) != sdtpldt0(sz00,sdtpldt0(xm,xm)) ) ),
inference(superposition,[status(thm)],[c_10662,c_66]) ).
tcf(c_37879,plain,
! [X0: $i] :
( ( sdtpldt0(xm,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,xm))
| ( sdtpldt0(sz00,sdtpldt0(xm,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_10662,c_67]) ).
tcf(c_37887,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11848,c_68]) ).
tcf(c_37894,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11849,c_68]) ).
tcf(c_37901,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11850,c_68]) ).
tcf(c_37917,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11853,c_69]) ).
tcf(c_37924,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11854,c_69]) ).
tcf(c_37931,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11855,c_69]) ).
tcf(c_37977,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn)))
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_23505,c_66]) ).
tcf(c_37978,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xl,xn))) != sdtasdt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_23505,c_67]) ).
tcf(c_37985,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xn)),X0) != sdtasdt0(xl,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_23506,c_66]) ).
tcf(c_37986,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xn)))
| ( sdtasdt0(xl,sdtpldt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_23506,c_67]) ).
tcf(c_38066,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xl)))
| ( sdtasdt0(xl,sdtasdt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_23727,c_66]) ).
tcf(c_38067,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xl)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xl))) != sdtasdt0(xl,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_23727,c_67]) ).
tcf(c_38075,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xl)))
| ( sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xl)),X0) != sdtasdt0(xl,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_23728,c_66]) ).
tcf(c_38076,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xl)))
| ( sdtasdt0(xl,sdtasdt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_23728,c_67]) ).
tcf(c_38082,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11858,c_68]) ).
tcf(c_38089,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11859,c_68]) ).
tcf(c_38096,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11860,c_68]) ).
tcf(c_38104,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11861,c_68]) ).
tcf(c_38112,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11863,c_69]) ).
tcf(c_38119,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11864,c_69]) ).
tcf(c_38126,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11865,c_69]) ).
tcf(c_38134,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_11866,c_69]) ).
tcf(c_38139,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_11999,c_68]) ).
tcf(c_38145,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12000,c_68]) ).
tcf(c_38151,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12001,c_68]) ).
tcf(c_38216,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xm)))
| ( sdtasdt0(xl,sdtasdt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_24124,c_66]) ).
tcf(c_38217,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xm)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xm))) != sdtasdt0(xl,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_24124,c_67]) ).
tcf(c_38225,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xm)))
| ( sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xm)),X0) != sdtasdt0(xl,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_24125,c_66]) ).
tcf(c_38226,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xm)))
| ( sdtasdt0(xl,sdtasdt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_24125,c_67]) ).
tcf(c_38233,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xn)))
| ( sdtasdt0(xl,sdtasdt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_24325,c_66]) ).
tcf(c_38234,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xn)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtasdt0(sz00,xn))) != sdtasdt0(xl,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_24325,c_67]) ).
tcf(c_38242,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xn)))
| ( sdtpldt0(sdtasdt0(xl,sdtasdt0(sz00,xn)),X0) != sdtasdt0(xl,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_24326,c_66]) ).
tcf(c_38243,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,xn)))
| ( sdtasdt0(xl,sdtasdt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_24326,c_67]) ).
tcf(c_38249,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12004,c_69]) ).
tcf(c_38255,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12005,c_69]) ).
tcf(c_38261,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12006,c_69]) ).
tcf(c_38273,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12009,c_68]) ).
tcf(c_38279,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12010,c_68]) ).
tcf(c_38285,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12011,c_68]) ).
tcf(c_38292,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12012,c_68]) ).
tcf(c_38299,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12014,c_69]) ).
tcf(c_38305,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12015,c_69]) ).
tcf(c_38311,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12016,c_69]) ).
tcf(c_38318,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12017,c_69]) ).
tcf(c_38319,plain,
aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xl))),
inference(global_subsumption_just,[status(thm)],[c_24800,c_103,c_8375,c_24800]) ).
tcf(c_38321,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38319,c_7192]) ).
tcf(c_38322,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38319,c_7191]) ).
tcf(c_38323,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38319,c_7190]) ).
tcf(c_38324,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38319,c_7186]) ).
tcf(c_38325,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38319,c_1856]) ).
tcf(c_38326,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38319,c_6323]) ).
tcf(c_38327,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38319,c_6322]) ).
tcf(c_38328,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38319,c_6321]) ).
tcf(c_38329,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38319,c_6317]) ).
tcf(c_38330,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38319,c_1855]) ).
tcf(c_38331,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38319,c_5582]) ).
tcf(c_38332,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38319,c_5581]) ).
tcf(c_38333,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38319,c_5580]) ).
tcf(c_38334,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38319,c_5576]) ).
tcf(c_38335,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38319,c_1843]) ).
tcf(c_38336,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38319,c_4644]) ).
tcf(c_38337,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38319,c_4643]) ).
tcf(c_38338,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38319,c_4642]) ).
tcf(c_38339,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38319,c_4638]) ).
tcf(c_38340,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38319,c_1842]) ).
tcf(c_38341,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38319,c_1890]) ).
tcf(c_38342,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38319,c_1889]) ).
tcf(c_38343,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38319,c_1888]) ).
tcf(c_38344,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38319,c_1885]) ).
tcf(c_38345,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xl)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38319,c_1868]) ).
tcf(c_38346,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,xl))),sdtasdt0(X1,sdtasdt0(xn,sdtpldt0(xl,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38319,c_65]) ).
tcf(c_38347,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),X0),sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),X1)) = sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38319,c_64]) ).
tcf(c_38348,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xl)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38319,c_1867]) ).
tcf(c_38349,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38319,c_59]) ).
tcf(c_38350,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xl)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38319,c_55]) ).
tcf(c_38351,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xl)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38319,c_1866]) ).
tcf(c_38352,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(xl,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),X0),sdtasdt0(xn,sdtpldt0(xl,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38319,c_153]) ).
tcf(c_38353,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38319,c_1863]) ).
tcf(c_38354,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,xl)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38319,c_58]) ).
tcf(c_38355,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xl)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38319,c_54]) ).
tcf(c_38358,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xl,xl))) = sdtasdt0(xn,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_38319,c_57]) ).
tcf(c_38359,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xl)),sz00) = sdtasdt0(xn,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_38319,c_56]) ).
tcf(c_38444,plain,
aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xl))),
inference(global_subsumption_just,[status(thm)],[c_24808,c_102,c_8375,c_24808]) ).
tcf(c_38446,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38444,c_7192]) ).
tcf(c_38447,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38444,c_7191]) ).
tcf(c_38448,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38444,c_7190]) ).
tcf(c_38449,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38444,c_7186]) ).
tcf(c_38450,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38444,c_1856]) ).
tcf(c_38451,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38444,c_6323]) ).
tcf(c_38452,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38444,c_6322]) ).
tcf(c_38453,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38444,c_6321]) ).
tcf(c_38454,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38444,c_6317]) ).
tcf(c_38455,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38444,c_1855]) ).
tcf(c_38456,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38444,c_5582]) ).
tcf(c_38457,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38444,c_5581]) ).
tcf(c_38458,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38444,c_5580]) ).
tcf(c_38459,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38444,c_5576]) ).
tcf(c_38460,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38444,c_1843]) ).
tcf(c_38461,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38444,c_4644]) ).
tcf(c_38462,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38444,c_4643]) ).
tcf(c_38463,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38444,c_4642]) ).
tcf(c_38464,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38444,c_4638]) ).
tcf(c_38465,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38444,c_1842]) ).
tcf(c_38466,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38444,c_1890]) ).
tcf(c_38467,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38444,c_1889]) ).
tcf(c_38468,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38444,c_1888]) ).
tcf(c_38469,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38444,c_1885]) ).
tcf(c_38470,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xl)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38444,c_1868]) ).
tcf(c_38471,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,xl))),sdtasdt0(X1,sdtasdt0(xm,sdtpldt0(xl,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38444,c_65]) ).
tcf(c_38472,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38444,c_64]) ).
tcf(c_38473,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xl)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38444,c_1867]) ).
tcf(c_38474,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38444,c_59]) ).
tcf(c_38475,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xl)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38444,c_55]) ).
tcf(c_38476,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xl)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38444,c_1866]) ).
tcf(c_38477,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(xl,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),X0),sdtasdt0(xm,sdtpldt0(xl,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38444,c_153]) ).
tcf(c_38478,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38444,c_1863]) ).
tcf(c_38479,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,xl)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38444,c_58]) ).
tcf(c_38480,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xl)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38444,c_54]) ).
tcf(c_38483,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xl,xl))) = sdtasdt0(xm,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_38444,c_57]) ).
tcf(c_38484,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xl)),sz00) = sdtasdt0(xm,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_38444,c_56]) ).
tcf(c_38566,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,xl))),
inference(global_subsumption_just,[status(thm)],[c_24934,c_101,c_8375,c_24934]) ).
tcf(c_38568,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38566,c_7192]) ).
tcf(c_38569,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38566,c_7191]) ).
tcf(c_38570,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38566,c_7190]) ).
tcf(c_38571,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38566,c_7186]) ).
tcf(c_38572,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38566,c_1856]) ).
tcf(c_38573,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38566,c_6323]) ).
tcf(c_38574,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38566,c_6322]) ).
tcf(c_38575,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38566,c_6321]) ).
tcf(c_38576,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38566,c_6317]) ).
tcf(c_38577,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38566,c_1855]) ).
tcf(c_38578,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38566,c_5582]) ).
tcf(c_38579,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38566,c_5581]) ).
tcf(c_38580,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38566,c_5580]) ).
tcf(c_38581,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38566,c_5576]) ).
tcf(c_38582,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38566,c_1843]) ).
tcf(c_38583,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38566,c_4644]) ).
tcf(c_38584,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38566,c_4643]) ).
tcf(c_38585,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38566,c_4642]) ).
tcf(c_38586,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38566,c_4638]) ).
tcf(c_38587,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38566,c_1842]) ).
tcf(c_38588,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38566,c_1890]) ).
tcf(c_38589,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38566,c_1889]) ).
tcf(c_38590,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38566,c_1888]) ).
tcf(c_38591,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38566,c_1885]) ).
tcf(c_38592,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xl)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38566,c_1868]) ).
tcf(c_38593,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xl))),sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xl,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38566,c_65]) ).
tcf(c_38594,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),X1)) = sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38566,c_64]) ).
tcf(c_38595,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xl)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38566,c_1867]) ).
tcf(c_38596,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38566,c_59]) ).
tcf(c_38597,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xl)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38566,c_55]) ).
tcf(c_38598,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xl)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38566,c_1866]) ).
tcf(c_38599,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xl,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),X0),sdtasdt0(xl,sdtpldt0(xl,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38566,c_153]) ).
tcf(c_38600,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38566,c_1863]) ).
tcf(c_38601,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,xl)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38566,c_58]) ).
tcf(c_38602,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xl)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38566,c_54]) ).
tcf(c_38605,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xl,xl))) = sdtasdt0(xl,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_38566,c_57]) ).
tcf(c_38606,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xl,xl)),sz00) = sdtasdt0(xl,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_38566,c_56]) ).
tcf(c_38695,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xl,xl))),
inference(global_subsumption_just,[status(thm)],[c_24977,c_49,c_8375,c_24977]) ).
tcf(c_38698,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38695,c_7192]) ).
tcf(c_38699,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38695,c_7191]) ).
tcf(c_38700,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38695,c_7190]) ).
tcf(c_38701,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38695,c_7186]) ).
tcf(c_38702,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38695,c_1856]) ).
tcf(c_38703,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38695,c_6323]) ).
tcf(c_38704,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38695,c_6322]) ).
tcf(c_38705,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38695,c_6321]) ).
tcf(c_38706,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38695,c_6317]) ).
tcf(c_38707,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38695,c_1855]) ).
tcf(c_38708,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38695,c_5582]) ).
tcf(c_38709,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38695,c_5581]) ).
tcf(c_38710,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38695,c_5580]) ).
tcf(c_38711,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_38695,c_5576]) ).
tcf(c_38712,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38695,c_1843]) ).
tcf(c_38713,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38695,c_4644]) ).
tcf(c_38714,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38695,c_4643]) ).
tcf(c_38715,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38695,c_4642]) ).
tcf(c_38716,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_38695,c_4638]) ).
tcf(c_38717,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38695,c_1842]) ).
tcf(c_38718,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38695,c_1890]) ).
tcf(c_38719,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38695,c_1889]) ).
tcf(c_38720,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38695,c_1888]) ).
tcf(c_38721,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38695,c_1885]) ).
tcf(c_38722,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38695,c_1868]) ).
tcf(c_38723,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(xl,xl))),sdtasdt0(X1,sdtasdt0(sz00,sdtpldt0(xl,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38695,c_65]) ).
tcf(c_38724,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),X0),sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38695,c_64]) ).
tcf(c_38725,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38695,c_1867]) ).
tcf(c_38726,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38695,c_59]) ).
tcf(c_38727,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38695,c_55]) ).
tcf(c_38728,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38695,c_1866]) ).
tcf(c_38730,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_38695,c_1863]) ).
tcf(c_38731,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38695,c_58]) ).
tcf(c_38732,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_38695,c_54]) ).
tcf(c_38735,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xl))) = sdtasdt0(sz00,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_38695,c_57]) ).
tcf(c_38736,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xl,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_38695,c_56]) ).
tcf(c_39430,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12487,c_68]) ).
tcf(c_39436,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12488,c_68]) ).
tcf(c_39442,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12489,c_68]) ).
tcf(c_39456,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12492,c_69]) ).
tcf(c_39462,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12493,c_69]) ).
tcf(c_39468,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12494,c_69]) ).
tcf(c_39480,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12497,c_68]) ).
tcf(c_39486,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12498,c_68]) ).
tcf(c_39492,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12499,c_68]) ).
tcf(c_39499,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12500,c_68]) ).
tcf(c_39501,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,xl))),
inference(global_subsumption_just,[status(thm)],[c_24985,c_103,c_8375,c_24985]) ).
tcf(c_39503,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39501,c_7192]) ).
tcf(c_39504,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39501,c_7191]) ).
tcf(c_39505,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39501,c_7190]) ).
tcf(c_39506,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39501,c_7186]) ).
tcf(c_39507,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39501,c_1856]) ).
tcf(c_39508,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39501,c_6323]) ).
tcf(c_39509,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39501,c_6322]) ).
tcf(c_39510,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39501,c_6321]) ).
tcf(c_39511,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39501,c_6317]) ).
tcf(c_39512,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39501,c_1855]) ).
tcf(c_39513,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39501,c_5582]) ).
tcf(c_39514,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39501,c_5581]) ).
tcf(c_39515,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39501,c_5580]) ).
tcf(c_39516,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39501,c_5576]) ).
tcf(c_39517,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39501,c_1843]) ).
tcf(c_39518,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39501,c_4644]) ).
tcf(c_39519,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39501,c_4643]) ).
tcf(c_39520,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39501,c_4642]) ).
tcf(c_39521,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39501,c_4638]) ).
tcf(c_39522,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39501,c_1842]) ).
tcf(c_39523,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39501,c_1890]) ).
tcf(c_39524,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39501,c_1889]) ).
tcf(c_39525,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39501,c_1888]) ).
tcf(c_39526,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39501,c_1885]) ).
tcf(c_39527,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xl)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39501,c_1868]) ).
tcf(c_39528,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xl))),sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xl,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39501,c_65]) ).
tcf(c_39529,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),X1)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39501,c_64]) ).
tcf(c_39530,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xl)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39501,c_1867]) ).
tcf(c_39531,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39501,c_59]) ).
tcf(c_39532,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xl)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39501,c_55]) ).
tcf(c_39533,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xl)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39501,c_1866]) ).
tcf(c_39534,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xl,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),X0),sdtpldt0(xn,sdtpldt0(xl,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39501,c_153]) ).
tcf(c_39535,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39501,c_1863]) ).
tcf(c_39536,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,xl)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39501,c_58]) ).
tcf(c_39537,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xl)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39501,c_54]) ).
tcf(c_39540,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xl))) = sdtpldt0(xn,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_39501,c_57]) ).
tcf(c_39541,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xl,xl)),sz00) = sdtpldt0(xn,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_39501,c_56]) ).
tcf(c_39551,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,xl))),
inference(global_subsumption_just,[status(thm)],[c_24994,c_102,c_8375,c_24994]) ).
tcf(c_39553,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39551,c_7192]) ).
tcf(c_39554,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39551,c_7191]) ).
tcf(c_39555,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39551,c_7190]) ).
tcf(c_39556,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39551,c_7186]) ).
tcf(c_39557,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39551,c_1856]) ).
tcf(c_39558,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39551,c_6323]) ).
tcf(c_39559,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39551,c_6322]) ).
tcf(c_39560,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39551,c_6321]) ).
tcf(c_39561,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39551,c_6317]) ).
tcf(c_39562,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39551,c_1855]) ).
tcf(c_39563,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39551,c_5582]) ).
tcf(c_39564,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39551,c_5581]) ).
tcf(c_39565,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39551,c_5580]) ).
tcf(c_39566,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39551,c_5576]) ).
tcf(c_39567,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39551,c_1843]) ).
tcf(c_39568,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39551,c_4644]) ).
tcf(c_39569,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39551,c_4643]) ).
tcf(c_39570,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39551,c_4642]) ).
tcf(c_39571,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39551,c_4638]) ).
tcf(c_39572,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39551,c_1842]) ).
tcf(c_39573,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39551,c_1890]) ).
tcf(c_39574,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39551,c_1889]) ).
tcf(c_39575,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39551,c_1888]) ).
tcf(c_39576,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39551,c_1885]) ).
tcf(c_39577,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xl)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39551,c_1868]) ).
tcf(c_39578,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xl))),sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xl,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39551,c_65]) ).
tcf(c_39579,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39551,c_64]) ).
tcf(c_39580,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xl)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39551,c_1867]) ).
tcf(c_39581,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39551,c_59]) ).
tcf(c_39582,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xl)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39551,c_55]) ).
tcf(c_39583,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xl)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39551,c_1866]) ).
tcf(c_39584,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xl,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),X0),sdtpldt0(xm,sdtpldt0(xl,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39551,c_153]) ).
tcf(c_39585,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39551,c_1863]) ).
tcf(c_39586,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,xl)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39551,c_58]) ).
tcf(c_39587,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xl)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39551,c_54]) ).
tcf(c_39590,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xl))) = sdtpldt0(xm,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_39551,c_57]) ).
tcf(c_39591,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xl,xl)),sz00) = sdtpldt0(xm,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_39551,c_56]) ).
tcf(c_39601,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,xl))),
inference(global_subsumption_just,[status(thm)],[c_25003,c_101,c_8375,c_25003]) ).
tcf(c_39603,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39601,c_7192]) ).
tcf(c_39604,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39601,c_7191]) ).
tcf(c_39605,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39601,c_7190]) ).
tcf(c_39606,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39601,c_7186]) ).
tcf(c_39607,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39601,c_1856]) ).
tcf(c_39608,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39601,c_6323]) ).
tcf(c_39609,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39601,c_6322]) ).
tcf(c_39610,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39601,c_6321]) ).
tcf(c_39611,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39601,c_6317]) ).
tcf(c_39612,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39601,c_1855]) ).
tcf(c_39613,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39601,c_5582]) ).
tcf(c_39614,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39601,c_5581]) ).
tcf(c_39615,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39601,c_5580]) ).
tcf(c_39616,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39601,c_5576]) ).
tcf(c_39617,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39601,c_1843]) ).
tcf(c_39618,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39601,c_4644]) ).
tcf(c_39619,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39601,c_4643]) ).
tcf(c_39620,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39601,c_4642]) ).
tcf(c_39621,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39601,c_4638]) ).
tcf(c_39622,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39601,c_1842]) ).
tcf(c_39623,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39601,c_1890]) ).
tcf(c_39624,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39601,c_1889]) ).
tcf(c_39625,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39601,c_1888]) ).
tcf(c_39626,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39601,c_1885]) ).
tcf(c_39627,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xl)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39601,c_1868]) ).
tcf(c_39628,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xl))),sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xl,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39601,c_65]) ).
tcf(c_39629,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),X1)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39601,c_64]) ).
tcf(c_39630,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xl)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39601,c_1867]) ).
tcf(c_39631,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39601,c_59]) ).
tcf(c_39632,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xl)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39601,c_55]) ).
tcf(c_39633,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xl)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39601,c_1866]) ).
tcf(c_39634,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xl,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),X0),sdtpldt0(xl,sdtpldt0(xl,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39601,c_153]) ).
tcf(c_39635,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39601,c_1863]) ).
tcf(c_39636,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,xl)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39601,c_58]) ).
tcf(c_39637,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xl)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39601,c_54]) ).
tcf(c_39640,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xl,xl))) = sdtpldt0(xl,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_39601,c_57]) ).
tcf(c_39641,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xl,xl)),sz00) = sdtpldt0(xl,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_39601,c_56]) ).
tcf(c_39651,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,xl))),
inference(global_subsumption_just,[status(thm)],[c_25013,c_49,c_8375,c_25013]) ).
tcf(c_39654,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39651,c_7192]) ).
tcf(c_39655,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39651,c_7191]) ).
tcf(c_39656,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39651,c_7190]) ).
tcf(c_39657,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39651,c_7186]) ).
tcf(c_39658,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39651,c_1856]) ).
tcf(c_39659,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39651,c_6323]) ).
tcf(c_39660,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39651,c_6322]) ).
tcf(c_39661,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39651,c_6321]) ).
tcf(c_39662,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39651,c_6317]) ).
tcf(c_39663,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39651,c_1855]) ).
tcf(c_39664,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39651,c_5582]) ).
tcf(c_39665,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39651,c_5581]) ).
tcf(c_39666,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39651,c_5580]) ).
tcf(c_39667,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_39651,c_5576]) ).
tcf(c_39668,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39651,c_1843]) ).
tcf(c_39669,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39651,c_4644]) ).
tcf(c_39670,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39651,c_4643]) ).
tcf(c_39671,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39651,c_4642]) ).
tcf(c_39672,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xl)))) = sz00,
inference(superposition,[status(thm)],[c_39651,c_4638]) ).
tcf(c_39673,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39651,c_1842]) ).
tcf(c_39674,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39651,c_1890]) ).
tcf(c_39675,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39651,c_1889]) ).
tcf(c_39676,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39651,c_1888]) ).
tcf(c_39677,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39651,c_1885]) ).
tcf(c_39678,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39651,c_1868]) ).
tcf(c_39679,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xl))),sdtasdt0(X1,sdtpldt0(sz00,sdtpldt0(xl,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39651,c_65]) ).
tcf(c_39680,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),X0),sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39651,c_64]) ).
tcf(c_39681,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39651,c_1867]) ).
tcf(c_39682,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39651,c_59]) ).
tcf(c_39683,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39651,c_55]) ).
tcf(c_39684,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39651,c_1866]) ).
tcf(c_39685,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xl,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),X0),sdtpldt0(sz00,sdtpldt0(xl,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39651,c_153]) ).
tcf(c_39686,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xl))),
inference(superposition,[status(thm)],[c_39651,c_1863]) ).
tcf(c_39687,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39651,c_58]) ).
tcf(c_39688,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(xl,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_39651,c_54]) ).
tcf(c_39691,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,xl))) = sdtpldt0(sz00,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_39651,c_57]) ).
tcf(c_39692,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xl,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,xl)),
inference(superposition,[status(thm)],[c_39651,c_56]) ).
tcf(c_39707,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12502,c_69]) ).
tcf(c_39834,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12503,c_69]) ).
tcf(c_39840,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12504,c_69]) ).
tcf(c_39847,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12505,c_69]) ).
tcf(c_39852,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12537,c_68]) ).
tcf(c_39858,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12538,c_68]) ).
tcf(c_39864,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12539,c_68]) ).
tcf(c_39878,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12542,c_69]) ).
tcf(c_39884,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12543,c_69]) ).
tcf(c_39890,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12544,c_69]) ).
tcf(c_39903,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_26043,c_66]) ).
tcf(c_39904,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtasdt0(xl,xm))) != sdtasdt0(xl,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_26043,c_67]) ).
tcf(c_39911,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm)))
| ( sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xm)),X0) != sdtasdt0(xl,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_26044,c_66]) ).
tcf(c_39912,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xm)))
| ( sdtasdt0(xl,sdtasdt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_26044,c_67]) ).
tcf(c_39919,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xl,xm)))
| ( sdtasdt0(sz00,sdtasdt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_26094,c_66]) ).
tcf(c_39920,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xl,xm)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtasdt0(xl,xm))) != sdtasdt0(sz00,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_26094,c_67]) ).
tcf(c_39927,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xl,xm)))
| ( sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xm)),X0) != sdtasdt0(sz00,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_26095,c_66]) ).
tcf(c_39928,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xl,xm)))
| ( sdtasdt0(sz00,sdtasdt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_26095,c_67]) ).
tcf(c_39933,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12547,c_68]) ).
tcf(c_39939,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12548,c_68]) ).
tcf(c_39945,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12549,c_68]) ).
tcf(c_39952,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12550,c_68]) ).
tcf(c_39959,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12552,c_69]) ).
tcf(c_39965,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12553,c_69]) ).
tcf(c_39971,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12554,c_69]) ).
tcf(c_39978,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12555,c_69]) ).
tcf(c_39983,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12632,c_68]) ).
tcf(c_39989,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12633,c_68]) ).
tcf(c_39995,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12634,c_68]) ).
tcf(c_40009,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm)))
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_26143,c_66]) ).
tcf(c_40010,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtasdt0(xl,xm))) != sdtpldt0(xn,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_26143,c_67]) ).
tcf(c_40017,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xm)),X0) != sdtpldt0(xn,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_26144,c_66]) ).
tcf(c_40018,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xm)))
| ( sdtpldt0(xn,sdtasdt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_26144,c_67]) ).
tcf(c_40024,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm)))
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_26193,c_66]) ).
tcf(c_40025,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xl,xm))) != sdtpldt0(xm,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_26193,c_67]) ).
tcf(c_40032,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xm)),X0) != sdtpldt0(xm,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_26194,c_66]) ).
tcf(c_40033,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xm)))
| ( sdtpldt0(xm,sdtasdt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_26194,c_67]) ).
tcf(c_40039,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12637,c_69]) ).
tcf(c_40045,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12638,c_69]) ).
tcf(c_40051,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12639,c_69]) ).
tcf(c_40063,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12642,c_68]) ).
tcf(c_40069,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12643,c_68]) ).
tcf(c_40075,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12644,c_68]) ).
tcf(c_40082,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12645,c_68]) ).
tcf(c_40089,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12647,c_69]) ).
tcf(c_40095,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12648,c_69]) ).
tcf(c_40101,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12649,c_69]) ).
tcf(c_40108,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12650,c_69]) ).
tcf(c_40114,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm)))
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_26445,c_66]) ).
tcf(c_40115,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xl,xm))) != sdtpldt0(xl,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_26445,c_67]) ).
tcf(c_40122,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xm)),X0) != sdtpldt0(xl,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_26446,c_66]) ).
tcf(c_40123,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xm)))
| ( sdtpldt0(xl,sdtasdt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_26446,c_67]) ).
tcf(c_40129,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ( sdtpldt0(sz00,sdtasdt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_26557,c_66]) ).
tcf(c_40130,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtasdt0(xl,xm))) != sdtpldt0(sz00,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_26557,c_67]) ).
tcf(c_40138,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ( sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xm)),X0) != sdtpldt0(sz00,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_26558,c_66]) ).
tcf(c_40139,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xm)))
| ( sdtpldt0(sz00,sdtasdt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_26558,c_67]) ).
tcf(c_40145,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12753,c_68]) ).
tcf(c_40152,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12754,c_68]) ).
tcf(c_40159,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12755,c_68]) ).
tcf(c_40175,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12758,c_69]) ).
tcf(c_40182,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12759,c_69]) ).
tcf(c_40189,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12760,c_69]) ).
tcf(c_40203,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12763,c_68]) ).
tcf(c_40210,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12764,c_68]) ).
tcf(c_40217,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12765,c_68]) ).
tcf(c_40225,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_12766,c_68]) ).
tcf(c_40232,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xn)))
| ( sdtasdt0(xl,sdtasdt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_26818,c_66]) ).
tcf(c_40233,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xn)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtasdt0(xl,xn))) != sdtasdt0(xl,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_26818,c_67]) ).
tcf(c_40240,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xn)))
| ( sdtpldt0(sdtasdt0(xl,sdtasdt0(xl,xn)),X0) != sdtasdt0(xl,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_26819,c_66]) ).
tcf(c_40241,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xl,xn)))
| ( sdtasdt0(xl,sdtasdt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_26819,c_67]) ).
tcf(c_40248,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xl,xn)))
| ( sdtasdt0(sz00,sdtasdt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_27022,c_66]) ).
tcf(c_40249,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xl,xn)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtasdt0(xl,xn))) != sdtasdt0(sz00,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_27022,c_67]) ).
tcf(c_40256,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xl,xn)))
| ( sdtpldt0(sdtasdt0(sz00,sdtasdt0(xl,xn)),X0) != sdtasdt0(sz00,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_27023,c_66]) ).
tcf(c_40257,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xl,xn)))
| ( sdtasdt0(sz00,sdtasdt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_27023,c_67]) ).
tcf(c_40264,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12768,c_69]) ).
tcf(c_40271,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12769,c_69]) ).
tcf(c_40278,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12770,c_69]) ).
tcf(c_40286,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_12771,c_69]) ).
tcf(c_40291,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13116,c_68]) ).
tcf(c_40297,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13117,c_68]) ).
tcf(c_40303,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13118,c_68]) ).
tcf(c_40317,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13121,c_69]) ).
tcf(c_40323,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13122,c_69]) ).
tcf(c_40329,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13123,c_69]) ).
tcf(c_40342,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xn)))
| ( sdtpldt0(xn,sdtasdt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_27146,c_66]) ).
tcf(c_40343,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xn)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtasdt0(xl,xn))) != sdtpldt0(xn,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_27146,c_67]) ).
tcf(c_40350,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xn,sdtasdt0(xl,xn)),X0) != sdtpldt0(xn,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_27147,c_66]) ).
tcf(c_40351,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xl,xn)))
| ( sdtpldt0(xn,sdtasdt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_27147,c_67]) ).
tcf(c_40357,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xn)))
| ( sdtpldt0(xm,sdtasdt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_27412,c_66]) ).
tcf(c_40358,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xn)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xl,xn))) != sdtpldt0(xm,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_27412,c_67]) ).
tcf(c_40365,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xl,xn)),X0) != sdtpldt0(xm,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_27413,c_66]) ).
tcf(c_40366,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xl,xn)))
| ( sdtpldt0(xm,sdtasdt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_27413,c_67]) ).
tcf(c_40371,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13126,c_68]) ).
tcf(c_40377,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13127,c_68]) ).
tcf(c_40383,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13128,c_68]) ).
tcf(c_40390,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13129,c_68]) ).
tcf(c_40397,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13131,c_69]) ).
tcf(c_40403,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13132,c_69]) ).
tcf(c_40409,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13133,c_69]) ).
tcf(c_40416,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13134,c_69]) ).
tcf(c_40422,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13321,c_68]) ).
tcf(c_40429,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13322,c_68]) ).
tcf(c_40436,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13323,c_68]) ).
tcf(c_40451,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xn)))
| ( sdtpldt0(xl,sdtasdt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_27660,c_66]) ).
tcf(c_40452,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xn)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xl,xn))) != sdtpldt0(xl,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_27660,c_67]) ).
tcf(c_40459,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xl,xn)),X0) != sdtpldt0(xl,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_27661,c_66]) ).
tcf(c_40460,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xl,xn)))
| ( sdtpldt0(xl,sdtasdt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_27661,c_67]) ).
tcf(c_40466,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn)))
| ( sdtpldt0(sz00,sdtasdt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28584,c_66]) ).
tcf(c_40467,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtasdt0(xl,xn))) != sdtpldt0(sz00,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_28584,c_67]) ).
tcf(c_40475,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn)))
| ( sdtpldt0(sdtpldt0(sz00,sdtasdt0(xl,xn)),X0) != sdtpldt0(sz00,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_28585,c_66]) ).
tcf(c_40476,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xl,xn)))
| ( sdtpldt0(sz00,sdtasdt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_28585,c_67]) ).
tcf(c_40483,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13326,c_69]) ).
tcf(c_40490,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13327,c_69]) ).
tcf(c_40497,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13328,c_69]) ).
tcf(c_40511,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13331,c_68]) ).
tcf(c_40518,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13332,c_68]) ).
tcf(c_40525,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13333,c_68]) ).
tcf(c_40533,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13334,c_68]) ).
tcf(c_40541,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13336,c_69]) ).
tcf(c_40548,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13337,c_69]) ).
tcf(c_40555,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13338,c_69]) ).
tcf(c_40563,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13339,c_69]) ).
tcf(c_40569,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xn)))
| ( sdtasdt0(xm,sdtpldt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28721,c_66]) ).
tcf(c_40570,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xm,xn))) != sdtasdt0(xm,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_28721,c_67]) ).
tcf(c_40577,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xn)))
| ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xn)),X0) != sdtasdt0(xm,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_28722,c_66]) ).
tcf(c_40578,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xn)))
| ( sdtasdt0(xm,sdtpldt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_28722,c_67]) ).
tcf(c_40585,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xl)))
| ( sdtasdt0(xm,sdtpldt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_28916,c_66]) ).
tcf(c_40586,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xl)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xl))) != sdtasdt0(xm,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_28916,c_67]) ).
tcf(c_40594,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xl)))
| ( sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xl)),X0) != sdtasdt0(xm,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_28917,c_66]) ).
tcf(c_40595,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xl)))
| ( sdtasdt0(xm,sdtpldt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_28917,c_67]) ).
tcf(c_40601,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13481,c_68]) ).
tcf(c_40608,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13482,c_68]) ).
tcf(c_40615,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13483,c_68]) ).
tcf(c_40631,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13486,c_69]) ).
tcf(c_40638,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13487,c_69]) ).
tcf(c_40645,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13488,c_69]) ).
tcf(c_40659,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13491,c_68]) ).
tcf(c_40666,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13492,c_68]) ).
tcf(c_40673,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13493,c_68]) ).
tcf(c_40681,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_13494,c_68]) ).
tcf(c_40689,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xm)))
| ( sdtasdt0(xm,sdtpldt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_29663,c_66]) ).
tcf(c_40690,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xm)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xm))) != sdtasdt0(xm,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_29663,c_67]) ).
tcf(c_40698,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xm)))
| ( sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xm)),X0) != sdtasdt0(xm,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_29664,c_66]) ).
tcf(c_40699,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xm)))
| ( sdtasdt0(xm,sdtpldt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_29664,c_67]) ).
tcf(c_40706,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xn)))
| ( sdtasdt0(xm,sdtpldt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_29969,c_66]) ).
tcf(c_40707,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xn)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(sz00,xn))) != sdtasdt0(xm,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_29969,c_67]) ).
tcf(c_40715,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xn)))
| ( sdtpldt0(sdtasdt0(xm,sdtpldt0(sz00,xn)),X0) != sdtasdt0(xm,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_29970,c_66]) ).
tcf(c_40716,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(sz00,xn)))
| ( sdtasdt0(xm,sdtpldt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_29970,c_67]) ).
tcf(c_40723,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13496,c_69]) ).
tcf(c_40730,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13497,c_69]) ).
tcf(c_40737,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13498,c_69]) ).
tcf(c_40745,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_13499,c_69]) ).
tcf(c_40749,plain,
( ( sz00 = xn )
| ( sdtpldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtasdt0(xn,sdtpldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13652,c_72]) ).
tcf(c_40750,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_13652,c_53]) ).
tcf(c_40751,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtasdt0(sdtpldt0(xn,xl),X0) != sdtasdt0(xn,sdtpldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_13652,c_68]) ).
tcf(c_40752,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtpldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtasdt0(xn,sdtpldt0(xn,xl)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_13652,c_69]) ).
tcf(c_40758,plain,
( ( sz00 = xm )
| ( sdtpldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtasdt0(xm,sdtpldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13653,c_72]) ).
tcf(c_40759,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_13653,c_53]) ).
tcf(c_40760,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtasdt0(sdtpldt0(xn,xl),X0) != sdtasdt0(xm,sdtpldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_13653,c_68]) ).
tcf(c_40761,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtpldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtasdt0(xm,sdtpldt0(xn,xl)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_13653,c_69]) ).
tcf(c_40767,plain,
( ( sz00 = xl )
| ( sdtpldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtasdt0(xl,sdtpldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13654,c_72]) ).
tcf(c_40768,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_13654,c_53]) ).
tcf(c_40769,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtasdt0(sdtpldt0(xn,xl),X0) != sdtasdt0(xl,sdtpldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_13654,c_68]) ).
tcf(c_40770,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtpldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtasdt0(xl,sdtpldt0(xn,xl)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_13654,c_69]) ).
tcf(c_40864,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xn,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_13655,c_53]) ).
tcf(c_40865,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtasdt0(sdtpldt0(xn,xl),X0) != sdtasdt0(sz00,sdtpldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_13655,c_68]) ).
tcf(c_40871,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(xn,sdtpldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13656,c_71]) ).
tcf(c_40872,plain,
( ( sdtpldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(xn,sdtpldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13656,c_70]) ).
tcf(c_40873,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xl)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_13656,c_52]) ).
tcf(c_40874,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(sdtpldt0(xn,xl),X0) != sdtpldt0(xn,sdtpldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_13656,c_66]) ).
tcf(c_40875,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(xn,sdtpldt0(xn,xl)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_13656,c_67]) ).
tcf(c_40881,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(xm,sdtpldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13659,c_71]) ).
tcf(c_40882,plain,
( ( sdtpldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(xm,sdtpldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13659,c_70]) ).
tcf(c_40883,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xl)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_13659,c_52]) ).
tcf(c_40884,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(sdtpldt0(xn,xl),X0) != sdtpldt0(xm,sdtpldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_13659,c_66]) ).
tcf(c_40885,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(xm,sdtpldt0(xn,xl)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_13659,c_67]) ).
tcf(c_40891,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(xl,sdtpldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13662,c_71]) ).
tcf(c_40892,plain,
( ( sdtpldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(xl,sdtpldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13662,c_70]) ).
tcf(c_40893,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xl)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_13662,c_52]) ).
tcf(c_40894,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(sdtpldt0(xn,xl),X0) != sdtpldt0(xl,sdtpldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_13662,c_66]) ).
tcf(c_40895,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(xl,sdtpldt0(xn,xl)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_13662,c_67]) ).
tcf(c_40903,plain,
( ( sdtpldt0(xn,xl) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(sz00,sdtpldt0(xn,xl)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13664,c_70]) ).
tcf(c_40904,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xl)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xl)) ),
inference(superposition,[status(thm)],[c_13664,c_52]) ).
tcf(c_40905,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(sdtpldt0(xn,xl),X0) != sdtpldt0(sz00,sdtpldt0(xn,xl)) ) ),
inference(superposition,[status(thm)],[c_13664,c_66]) ).
tcf(c_40906,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xl) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xl))
| ( sdtpldt0(sz00,sdtpldt0(xn,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_13664,c_67]) ).
tcf(c_40914,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xm)))
| ( sdtasdt0(xm,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_30459,c_66]) ).
tcf(c_40915,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xl,xm))) != sdtasdt0(xm,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_30459,c_67]) ).
tcf(c_40922,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xm)),X0) != sdtasdt0(xm,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_30460,c_66]) ).
tcf(c_40923,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xm)))
| ( sdtasdt0(xm,sdtpldt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30460,c_67]) ).
tcf(c_40929,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xn)))
| ( sdtasdt0(xm,sdtpldt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_30607,c_66]) ).
tcf(c_40930,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xl,xn))) != sdtasdt0(xm,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_30607,c_67]) ).
tcf(c_40937,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xl,xn)),X0) != sdtasdt0(xm,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_30608,c_66]) ).
tcf(c_40938,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xl,xn)))
| ( sdtasdt0(xm,sdtpldt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30608,c_67]) ).
tcf(c_40942,plain,
( ( sz00 = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(xn,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13837,c_72]) ).
tcf(c_40943,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_13837,c_53]) ).
tcf(c_40944,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sdtasdt0(xn,sdtpldt0(xn,xm)) ) ),
inference(superposition,[status(thm)],[c_13837,c_68]) ).
tcf(c_40945,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(xn,sdtpldt0(xn,xm)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_13837,c_69]) ).
tcf(c_40951,plain,
( ( sz00 = xm )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(xm,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13838,c_72]) ).
tcf(c_40952,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_13838,c_53]) ).
tcf(c_40953,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sdtasdt0(xm,sdtpldt0(xn,xm)) ) ),
inference(superposition,[status(thm)],[c_13838,c_68]) ).
tcf(c_40954,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(xm,sdtpldt0(xn,xm)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_13838,c_69]) ).
tcf(c_40960,plain,
( ( sz00 = xl )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(xl,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13839,c_72]) ).
tcf(c_40961,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_13839,c_53]) ).
tcf(c_40962,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sdtasdt0(xl,sdtpldt0(xn,xm)) ) ),
inference(superposition,[status(thm)],[c_13839,c_68]) ).
tcf(c_40963,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(xl,sdtpldt0(xn,xm)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_13839,c_69]) ).
tcf(c_40971,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_13840,c_53]) ).
tcf(c_40972,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtasdt0(sdtpldt0(xn,xm),X0) != sdtasdt0(sz00,sdtpldt0(xn,xm)) ) ),
inference(superposition,[status(thm)],[c_13840,c_68]) ).
tcf(c_41011,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13841,c_71]) ).
tcf(c_41012,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13841,c_70]) ).
tcf(c_41013,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_13841,c_52]) ).
tcf(c_41014,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xn,sdtpldt0(xn,xm)) ) ),
inference(superposition,[status(thm)],[c_13841,c_66]) ).
tcf(c_41015,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(xn,sdtpldt0(xn,xm)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_13841,c_67]) ).
tcf(c_41021,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(xm,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13844,c_71]) ).
tcf(c_41022,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(xm,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13844,c_70]) ).
tcf(c_41023,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_13844,c_52]) ).
tcf(c_41024,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xm,sdtpldt0(xn,xm)) ) ),
inference(superposition,[status(thm)],[c_13844,c_66]) ).
tcf(c_41025,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(xm,sdtpldt0(xn,xm)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_13844,c_67]) ).
tcf(c_41031,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(xl,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13847,c_71]) ).
tcf(c_41032,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(xl,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13847,c_70]) ).
tcf(c_41033,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_13847,c_52]) ).
tcf(c_41034,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(xl,sdtpldt0(xn,xm)) ) ),
inference(superposition,[status(thm)],[c_13847,c_66]) ).
tcf(c_41035,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(xl,sdtpldt0(xn,xm)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_13847,c_67]) ).
tcf(c_41084,plain,
( ( sdtpldt0(xn,xm) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(sz00,sdtpldt0(xn,xm)) != sz00 ) ),
inference(superposition,[status(thm)],[c_13849,c_70]) ).
tcf(c_41085,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xm)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_13849,c_52]) ).
tcf(c_41086,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(sdtpldt0(xn,xm),X0) != sdtpldt0(sz00,sdtpldt0(xn,xm)) ) ),
inference(superposition,[status(thm)],[c_13849,c_66]) ).
tcf(c_41087,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xm) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ( sdtpldt0(sz00,sdtpldt0(xn,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_13849,c_67]) ).
tcf(c_41094,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14327,c_68]) ).
tcf(c_41101,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14328,c_68]) ).
tcf(c_41108,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14329,c_68]) ).
tcf(c_41124,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xl)))
| ( sdtasdt0(xm,sdtasdt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_30908,c_66]) ).
tcf(c_41125,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xl)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xl))) != sdtasdt0(xm,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_30908,c_67]) ).
tcf(c_41133,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xl)))
| ( sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xl)),X0) != sdtasdt0(xm,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_30909,c_66]) ).
tcf(c_41134,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xl)))
| ( sdtasdt0(xm,sdtasdt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_30909,c_67]) ).
tcf(c_41141,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xm)))
| ( sdtasdt0(xm,sdtasdt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_31045,c_66]) ).
tcf(c_41142,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xm)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xm))) != sdtasdt0(xm,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_31045,c_67]) ).
tcf(c_41150,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xm)))
| ( sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xm)),X0) != sdtasdt0(xm,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_31046,c_66]) ).
tcf(c_41151,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xm)))
| ( sdtasdt0(xm,sdtasdt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_31046,c_67]) ).
tcf(c_41158,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14332,c_69]) ).
tcf(c_41195,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14333,c_69]) ).
tcf(c_41202,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14334,c_69]) ).
tcf(c_41216,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14337,c_68]) ).
tcf(c_41223,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14338,c_68]) ).
tcf(c_41230,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14339,c_68]) ).
tcf(c_41238,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14340,c_68]) ).
tcf(c_41246,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14342,c_69]) ).
tcf(c_41253,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14343,c_69]) ).
tcf(c_41260,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14344,c_69]) ).
tcf(c_41268,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14345,c_69]) ).
tcf(c_41275,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xn)))
| ( sdtasdt0(xm,sdtasdt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_31205,c_66]) ).
tcf(c_41276,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xn)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(sz00,xn))) != sdtasdt0(xm,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_31205,c_67]) ).
tcf(c_41284,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xn)))
| ( sdtpldt0(sdtasdt0(xm,sdtasdt0(sz00,xn)),X0) != sdtasdt0(xm,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_31206,c_66]) ).
tcf(c_41285,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,xn)))
| ( sdtasdt0(xm,sdtasdt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_31206,c_67]) ).
tcf(c_41313,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(xm,sdtasdt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_31399,c_66]) ).
tcf(c_41314,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xm)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xl,xm))) != sdtasdt0(xm,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_31399,c_67]) ).
tcf(c_41321,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xm)))
| ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xm)),X0) != sdtasdt0(xm,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_31400,c_66]) ).
tcf(c_41322,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xm)))
| ( sdtasdt0(xm,sdtasdt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_31400,c_67]) ).
tcf(c_41325,plain,
( ( sz00 = xn )
| ( sdtpldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtasdt0(xn,sdtpldt0(xn,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14557,c_72]) ).
tcf(c_41326,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_14557,c_53]) ).
tcf(c_41327,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtasdt0(sdtpldt0(xn,xn),X0) != sdtasdt0(xn,sdtpldt0(xn,xn)) ) ),
inference(superposition,[status(thm)],[c_14557,c_68]) ).
tcf(c_41328,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtpldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtasdt0(xn,sdtpldt0(xn,xn)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_14557,c_69]) ).
tcf(c_41362,plain,
( ( sz00 = xm )
| ( sdtpldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtasdt0(xm,sdtpldt0(xn,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14558,c_72]) ).
tcf(c_41363,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_14558,c_53]) ).
tcf(c_41364,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtasdt0(sdtpldt0(xn,xn),X0) != sdtasdt0(xm,sdtpldt0(xn,xn)) ) ),
inference(superposition,[status(thm)],[c_14558,c_68]) ).
tcf(c_41365,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtpldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtasdt0(xm,sdtpldt0(xn,xn)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_14558,c_69]) ).
tcf(c_41370,plain,
( ( sz00 = xl )
| ( sdtpldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtasdt0(xl,sdtpldt0(xn,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14559,c_72]) ).
tcf(c_41371,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_14559,c_53]) ).
tcf(c_41372,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtasdt0(sdtpldt0(xn,xn),X0) != sdtasdt0(xl,sdtpldt0(xn,xn)) ) ),
inference(superposition,[status(thm)],[c_14559,c_68]) ).
tcf(c_41373,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtpldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtasdt0(xl,sdtpldt0(xn,xn)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_14559,c_69]) ).
tcf(c_41380,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xn,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_14560,c_53]) ).
tcf(c_41381,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtasdt0(sdtpldt0(xn,xn),X0) != sdtasdt0(sz00,sdtpldt0(xn,xn)) ) ),
inference(superposition,[status(thm)],[c_14560,c_68]) ).
tcf(c_41386,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(xn,sdtpldt0(xn,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14561,c_71]) ).
tcf(c_41387,plain,
( ( sdtpldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(xn,sdtpldt0(xn,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14561,c_70]) ).
tcf(c_41388,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_14561,c_52]) ).
tcf(c_41389,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(sdtpldt0(xn,xn),X0) != sdtpldt0(xn,sdtpldt0(xn,xn)) ) ),
inference(superposition,[status(thm)],[c_14561,c_66]) ).
tcf(c_41390,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(xn,sdtpldt0(xn,xn)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_14561,c_67]) ).
tcf(c_41416,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(xm,sdtpldt0(xn,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14564,c_71]) ).
tcf(c_41417,plain,
( ( sdtpldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(xm,sdtpldt0(xn,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14564,c_70]) ).
tcf(c_41418,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,xn)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_14564,c_52]) ).
tcf(c_41419,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(sdtpldt0(xn,xn),X0) != sdtpldt0(xm,sdtpldt0(xn,xn)) ) ),
inference(superposition,[status(thm)],[c_14564,c_66]) ).
tcf(c_41420,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(xm,sdtpldt0(xn,xn)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_14564,c_67]) ).
tcf(c_41425,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(xl,sdtpldt0(xn,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14567,c_71]) ).
tcf(c_41426,plain,
( ( sdtpldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(xl,sdtpldt0(xn,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14567,c_70]) ).
tcf(c_41427,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_14567,c_52]) ).
tcf(c_41428,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(sdtpldt0(xn,xn),X0) != sdtpldt0(xl,sdtpldt0(xn,xn)) ) ),
inference(superposition,[status(thm)],[c_14567,c_66]) ).
tcf(c_41429,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(xl,sdtpldt0(xn,xn)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_14567,c_67]) ).
tcf(c_41483,plain,
( ( sdtpldt0(xn,xn) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(sz00,sdtpldt0(xn,xn)) != sz00 ) ),
inference(superposition,[status(thm)],[c_14569,c_70]) ).
tcf(c_41484,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,xn)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,xn)) ),
inference(superposition,[status(thm)],[c_14569,c_52]) ).
tcf(c_41485,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(sdtpldt0(xn,xn),X0) != sdtpldt0(sz00,sdtpldt0(xn,xn)) ) ),
inference(superposition,[status(thm)],[c_14569,c_66]) ).
tcf(c_41486,plain,
! [X0: $i] :
( ( sdtpldt0(xn,xn) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,xn))
| ( sdtpldt0(sz00,sdtpldt0(xn,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_14569,c_67]) ).
tcf(c_41493,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14872,c_68]) ).
tcf(c_41499,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14873,c_68]) ).
tcf(c_41505,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14874,c_68]) ).
tcf(c_41519,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xn)))
| ( sdtasdt0(xm,sdtasdt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_31760,c_66]) ).
tcf(c_41520,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xn)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xl,xn))) != sdtasdt0(xm,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_31760,c_67]) ).
tcf(c_41527,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xn)))
| ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xl,xn)),X0) != sdtasdt0(xm,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_31761,c_66]) ).
tcf(c_41528,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xl,xn)))
| ( sdtasdt0(xm,sdtasdt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_31761,c_67]) ).
tcf(c_41588,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,xn)))
| ( sdtasdt0(xm,sdtasdt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_32691,c_66]) ).
tcf(c_41589,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,xn)))
| ( sdtpldt0(X0,sdtasdt0(xm,sdtasdt0(xm,xn))) != sdtasdt0(xm,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_32691,c_67]) ).
tcf(c_41596,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,xn)))
| ( sdtpldt0(sdtasdt0(xm,sdtasdt0(xm,xn)),X0) != sdtasdt0(xm,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_32692,c_66]) ).
tcf(c_41597,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(xm,xn)))
| ( sdtasdt0(xm,sdtasdt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_32692,c_67]) ).
tcf(c_41603,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14877,c_69]) ).
tcf(c_41609,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14878,c_69]) ).
tcf(c_41615,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14879,c_69]) ).
tcf(c_41627,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14882,c_68]) ).
tcf(c_41633,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14883,c_68]) ).
tcf(c_41639,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14884,c_68]) ).
tcf(c_41646,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_14885,c_68]) ).
tcf(c_41653,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14887,c_69]) ).
tcf(c_41659,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14888,c_69]) ).
tcf(c_41665,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14889,c_69]) ).
tcf(c_41713,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_14890,c_69]) ).
tcf(c_41719,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,xn)))
| ( sdtasdt0(xl,sdtasdt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_33004,c_66]) ).
tcf(c_41720,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,xn)))
| ( sdtpldt0(X0,sdtasdt0(xl,sdtasdt0(xm,xn))) != sdtasdt0(xl,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_33004,c_67]) ).
tcf(c_41727,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,xn)))
| ( sdtpldt0(sdtasdt0(xl,sdtasdt0(xm,xn)),X0) != sdtasdt0(xl,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_33005,c_66]) ).
tcf(c_41728,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(xm,xn)))
| ( sdtasdt0(xl,sdtasdt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_33005,c_67]) ).
tcf(c_41735,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xm,xn)))
| ( sdtasdt0(sz00,sdtasdt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_33177,c_66]) ).
tcf(c_41736,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xm,xn)))
| ( sdtpldt0(X0,sdtasdt0(sz00,sdtasdt0(xm,xn))) != sdtasdt0(sz00,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_33177,c_67]) ).
tcf(c_41743,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xm,xn)))
| ( sdtpldt0(sdtasdt0(sz00,sdtasdt0(xm,xn)),X0) != sdtasdt0(sz00,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_33178,c_66]) ).
tcf(c_41744,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(xm,xn)))
| ( sdtasdt0(sz00,sdtasdt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_33178,c_67]) ).
tcf(c_41749,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15038,c_68]) ).
tcf(c_41755,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15039,c_68]) ).
tcf(c_41761,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15040,c_68]) ).
tcf(c_41775,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15043,c_69]) ).
tcf(c_41781,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15044,c_69]) ).
tcf(c_41787,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15045,c_69]) ).
tcf(c_41799,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15048,c_68]) ).
tcf(c_41805,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15049,c_68]) ).
tcf(c_41811,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15050,c_68]) ).
tcf(c_41820,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15051,c_68]) ).
tcf(c_41858,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,xn)))
| ( sdtpldt0(xn,sdtasdt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_33282,c_66]) ).
tcf(c_41859,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,xn)))
| ( sdtpldt0(X0,sdtpldt0(xn,sdtasdt0(xm,xn))) != sdtpldt0(xn,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_33282,c_67]) ).
tcf(c_41866,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,xn)))
| ( sdtpldt0(sdtpldt0(xn,sdtasdt0(xm,xn)),X0) != sdtpldt0(xn,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_33283,c_66]) ).
tcf(c_41867,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(xm,xn)))
| ( sdtpldt0(xn,sdtasdt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_33283,c_67]) ).
tcf(c_41873,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,xn)))
| ( sdtpldt0(xm,sdtasdt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_33411,c_66]) ).
tcf(c_41874,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,xn)))
| ( sdtpldt0(X0,sdtpldt0(xm,sdtasdt0(xm,xn))) != sdtpldt0(xm,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_33411,c_67]) ).
tcf(c_41881,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,xn)))
| ( sdtpldt0(sdtpldt0(xm,sdtasdt0(xm,xn)),X0) != sdtpldt0(xm,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_33412,c_66]) ).
tcf(c_41882,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(xm,xn)))
| ( sdtpldt0(xm,sdtasdt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_33412,c_67]) ).
tcf(c_41888,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15053,c_69]) ).
tcf(c_41894,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15054,c_69]) ).
tcf(c_41900,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15055,c_69]) ).
tcf(c_41907,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15056,c_69]) ).
tcf(c_41913,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15379,c_68]) ).
tcf(c_41947,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15380,c_68]) ).
tcf(c_41954,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15381,c_68]) ).
tcf(c_41970,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15384,c_69]) ).
tcf(c_41977,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15385,c_69]) ).
tcf(c_41984,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15386,c_69]) ).
tcf(c_41998,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,xn)))
| ( sdtpldt0(xl,sdtasdt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_33695,c_66]) ).
tcf(c_41999,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,xn)))
| ( sdtpldt0(X0,sdtpldt0(xl,sdtasdt0(xm,xn))) != sdtpldt0(xl,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_33695,c_67]) ).
tcf(c_42006,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,xn)))
| ( sdtpldt0(sdtpldt0(xl,sdtasdt0(xm,xn)),X0) != sdtpldt0(xl,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_33696,c_66]) ).
tcf(c_42007,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(xm,xn)))
| ( sdtpldt0(xl,sdtasdt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_33696,c_67]) ).
tcf(c_42013,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn)))
| ( sdtpldt0(sz00,sdtasdt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_33844,c_66]) ).
tcf(c_42014,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn)))
| ( sdtpldt0(X0,sdtpldt0(sz00,sdtasdt0(xm,xn))) != sdtpldt0(sz00,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_33844,c_67]) ).
tcf(c_42022,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn)))
| ( sdtpldt0(sdtpldt0(sz00,sdtasdt0(xm,xn)),X0) != sdtpldt0(sz00,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_33845,c_66]) ).
tcf(c_42023,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(xm,xn)))
| ( sdtpldt0(sz00,sdtasdt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_33845,c_67]) ).
tcf(c_42029,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15389,c_68]) ).
tcf(c_42065,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15390,c_68]) ).
tcf(c_42072,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15391,c_68]) ).
tcf(c_42080,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15392,c_68]) ).
tcf(c_42088,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15394,c_69]) ).
tcf(c_42095,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15395,c_69]) ).
tcf(c_42102,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15396,c_69]) ).
tcf(c_42110,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15397,c_69]) ).
tcf(c_42117,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15517,c_68]) ).
tcf(c_42125,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15518,c_68]) ).
tcf(c_42133,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15519,c_68]) ).
tcf(c_42149,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xn)))
| ( sdtasdt0(xn,sdtpldt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_34014,c_66]) ).
tcf(c_42150,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xm,xn))) != sdtasdt0(xn,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_34014,c_67]) ).
tcf(c_42157,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xn)))
| ( sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xn)),X0) != sdtasdt0(xn,sdtpldt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_34015,c_66]) ).
tcf(c_42158,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xn)))
| ( sdtasdt0(xn,sdtpldt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34015,c_67]) ).
tcf(c_42165,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xl)))
| ( sdtasdt0(xn,sdtpldt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_34162,c_66]) ).
tcf(c_42166,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xl)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xl))) != sdtasdt0(xn,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_34162,c_67]) ).
tcf(c_42203,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xl)))
| ( sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xl)),X0) != sdtasdt0(xn,sdtpldt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_34163,c_66]) ).
tcf(c_42204,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xl)))
| ( sdtasdt0(xn,sdtpldt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34163,c_67]) ).
tcf(c_42212,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15522,c_69]) ).
tcf(c_42220,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15523,c_69]) ).
tcf(c_42228,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15524,c_69]) ).
tcf(c_42244,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15527,c_68]) ).
tcf(c_42252,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15528,c_68]) ).
tcf(c_42260,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15529,c_68]) ).
tcf(c_42269,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15530,c_68]) ).
tcf(c_42278,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15532,c_69]) ).
tcf(c_42286,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15533,c_69]) ).
tcf(c_42294,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15534,c_69]) ).
tcf(c_42303,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15535,c_69]) ).
tcf(c_42330,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xm)))
| ( sdtasdt0(xn,sdtpldt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_34589,c_66]) ).
tcf(c_42331,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xm)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xm))) != sdtasdt0(xn,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_34589,c_67]) ).
tcf(c_42339,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xm)))
| ( sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xm)),X0) != sdtasdt0(xn,sdtpldt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_34590,c_66]) ).
tcf(c_42340,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xm)))
| ( sdtasdt0(xn,sdtpldt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34590,c_67]) ).
tcf(c_42347,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xn)))
| ( sdtasdt0(xn,sdtpldt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_34720,c_66]) ).
tcf(c_42348,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xn)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(sz00,xn))) != sdtasdt0(xn,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_34720,c_67]) ).
tcf(c_42356,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xn)))
| ( sdtpldt0(sdtasdt0(xn,sdtpldt0(sz00,xn)),X0) != sdtasdt0(xn,sdtpldt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_34721,c_66]) ).
tcf(c_42357,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(sz00,xn)))
| ( sdtasdt0(xn,sdtpldt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_34721,c_67]) ).
tcf(c_42364,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15635,c_68]) ).
tcf(c_42372,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15636,c_68]) ).
tcf(c_42380,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15637,c_68]) ).
tcf(c_42398,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15640,c_69]) ).
tcf(c_42406,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15641,c_69]) ).
tcf(c_42414,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15642,c_69]) ).
tcf(c_42430,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15645,c_68]) ).
tcf(c_42438,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15646,c_68]) ).
tcf(c_42446,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15647,c_68]) ).
tcf(c_42455,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15648,c_68]) ).
tcf(c_42462,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xm)))
| ( sdtasdt0(xn,sdtpldt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_35316,c_66]) ).
tcf(c_42463,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xm)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xl,xm))) != sdtasdt0(xn,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_35316,c_67]) ).
tcf(c_42497,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xm)))
| ( sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xm)),X0) != sdtasdt0(xn,sdtpldt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_35317,c_66]) ).
tcf(c_42498,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xm)))
| ( sdtasdt0(xn,sdtpldt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_35317,c_67]) ).
tcf(c_42504,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xn)))
| ( sdtasdt0(xn,sdtpldt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_35430,c_66]) ).
tcf(c_42505,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xl,xn))) != sdtasdt0(xn,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_35430,c_67]) ).
tcf(c_42512,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xn)))
| ( sdtpldt0(sdtasdt0(xn,sdtpldt0(xl,xn)),X0) != sdtasdt0(xn,sdtpldt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_35431,c_66]) ).
tcf(c_42513,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xl,xn)))
| ( sdtasdt0(xn,sdtpldt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_35431,c_67]) ).
tcf(c_42521,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15650,c_69]) ).
tcf(c_42529,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15651,c_69]) ).
tcf(c_42537,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15652,c_69]) ).
tcf(c_42546,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15653,c_69]) ).
tcf(c_42553,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15978,c_68]) ).
tcf(c_42561,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15979,c_68]) ).
tcf(c_42569,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15980,c_68]) ).
tcf(c_42614,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15983,c_69]) ).
tcf(c_42622,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15984,c_69]) ).
tcf(c_42630,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15985,c_69]) ).
tcf(c_42646,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xl)))
| ( sdtasdt0(xn,sdtasdt0(sz00,xl)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_35702,c_66]) ).
tcf(c_42647,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xl)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xl))) != sdtasdt0(xn,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_35702,c_67]) ).
tcf(c_42655,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xl)))
| ( sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xl)),X0) != sdtasdt0(xn,sdtasdt0(sz00,xl)) ) ),
inference(superposition,[status(thm)],[c_35703,c_66]) ).
tcf(c_42656,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(sz00,xl)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xl)))
| ( sdtasdt0(xn,sdtasdt0(sz00,xl)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_35703,c_67]) ).
tcf(c_42663,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xm)))
| ( sdtasdt0(xn,sdtasdt0(sz00,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_35895,c_66]) ).
tcf(c_42664,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xm)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xm))) != sdtasdt0(xn,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_35895,c_67]) ).
tcf(c_42672,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xm)))
| ( sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xm)),X0) != sdtasdt0(xn,sdtasdt0(sz00,xm)) ) ),
inference(superposition,[status(thm)],[c_35896,c_66]) ).
tcf(c_42673,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(sz00,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xm)))
| ( sdtasdt0(xn,sdtasdt0(sz00,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_35896,c_67]) ).
tcf(c_42680,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15988,c_68]) ).
tcf(c_42688,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15989,c_68]) ).
tcf(c_42696,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15990,c_68]) ).
tcf(c_42791,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_15991,c_68]) ).
tcf(c_42800,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15993,c_69]) ).
tcf(c_42808,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15994,c_69]) ).
tcf(c_42816,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15995,c_69]) ).
tcf(c_42825,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_15996,c_69]) ).
tcf(c_42831,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16350,c_68]) ).
tcf(c_42838,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16351,c_68]) ).
tcf(c_42845,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16352,c_68]) ).
tcf(c_42861,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xn)))
| ( sdtasdt0(xn,sdtasdt0(sz00,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_36265,c_66]) ).
tcf(c_42862,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xn)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtasdt0(sz00,xn))) != sdtasdt0(xn,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_36265,c_67]) ).
tcf(c_42870,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xn)))
| ( sdtpldt0(sdtasdt0(xn,sdtasdt0(sz00,xn)),X0) != sdtasdt0(xn,sdtasdt0(sz00,xn)) ) ),
inference(superposition,[status(thm)],[c_36266,c_66]) ).
tcf(c_42871,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(sz00,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,xn)))
| ( sdtasdt0(xn,sdtasdt0(sz00,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_36266,c_67]) ).
tcf(c_42877,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xm)))
| ( sdtasdt0(xn,sdtasdt0(xl,xm)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_36819,c_66]) ).
tcf(c_42878,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xm)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtasdt0(xl,xm))) != sdtasdt0(xn,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_36819,c_67]) ).
tcf(c_42914,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xm)))
| ( sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xm)),X0) != sdtasdt0(xn,sdtasdt0(xl,xm)) ) ),
inference(superposition,[status(thm)],[c_36820,c_66]) ).
tcf(c_42915,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(xl,xm)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xm)))
| ( sdtasdt0(xn,sdtasdt0(xl,xm)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_36820,c_67]) ).
tcf(c_42922,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16355,c_69]) ).
tcf(c_42929,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16356,c_69]) ).
tcf(c_42936,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16357,c_69]) ).
tcf(c_42950,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16360,c_68]) ).
tcf(c_42957,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16361,c_68]) ).
tcf(c_42964,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16362,c_68]) ).
tcf(c_42972,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16363,c_68]) ).
tcf(c_42980,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16365,c_69]) ).
tcf(c_43010,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16366,c_69]) ).
tcf(c_43017,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16367,c_69]) ).
tcf(c_43025,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xm)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16368,c_69]) ).
tcf(c_43031,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xn)))
| ( sdtasdt0(xn,sdtasdt0(xl,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_37099,c_66]) ).
tcf(c_43032,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xn)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtasdt0(xl,xn))) != sdtasdt0(xn,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_37099,c_67]) ).
tcf(c_43039,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xn)))
| ( sdtpldt0(sdtasdt0(xn,sdtasdt0(xl,xn)),X0) != sdtasdt0(xn,sdtasdt0(xl,xn)) ) ),
inference(superposition,[status(thm)],[c_37100,c_66]) ).
tcf(c_43040,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(xl,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xl,xn)))
| ( sdtasdt0(xn,sdtasdt0(xl,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_37100,c_67]) ).
tcf(c_43046,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,xn)))
| ( sdtasdt0(xn,sdtasdt0(xm,xn)) != sdtpldt0(sz00,X0) ) ),
inference(superposition,[status(thm)],[c_37187,c_66]) ).
tcf(c_43047,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,xn)))
| ( sdtpldt0(X0,sdtasdt0(xn,sdtasdt0(xm,xn))) != sdtasdt0(xn,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_37187,c_67]) ).
tcf(c_43054,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,xn)))
| ( sdtpldt0(sdtasdt0(xn,sdtasdt0(xm,xn)),X0) != sdtasdt0(xn,sdtasdt0(xm,xn)) ) ),
inference(superposition,[status(thm)],[c_37188,c_66]) ).
tcf(c_43055,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtasdt0(xm,xn)) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(xm,xn)))
| ( sdtasdt0(xn,sdtasdt0(xm,xn)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_37188,c_67]) ).
tcf(c_43109,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16481,c_68]) ).
tcf(c_43116,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16482,c_68]) ).
tcf(c_43123,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16483,c_68]) ).
tcf(c_43139,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16486,c_69]) ).
tcf(c_43146,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16487,c_69]) ).
tcf(c_43153,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16488,c_69]) ).
tcf(c_43167,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16491,c_68]) ).
tcf(c_43174,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16492,c_68]) ).
tcf(c_43181,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16493,c_68]) ).
tcf(c_43189,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16494,c_68]) ).
tcf(c_43191,plain,
aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_37566,c_103,c_10033,c_37566]) ).
tcf(c_43194,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43191,c_7192]) ).
tcf(c_43195,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43191,c_7191]) ).
tcf(c_43196,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43191,c_7190]) ).
tcf(c_43197,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43191,c_7186]) ).
tcf(c_43198,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43191,c_1856]) ).
tcf(c_43199,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43191,c_6323]) ).
tcf(c_43200,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43191,c_6322]) ).
tcf(c_43201,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43191,c_6321]) ).
tcf(c_43202,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43191,c_6317]) ).
tcf(c_43203,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43191,c_1855]) ).
tcf(c_43204,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43191,c_5582]) ).
tcf(c_43205,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43191,c_5581]) ).
tcf(c_43206,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43191,c_5580]) ).
tcf(c_43207,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43191,c_5576]) ).
tcf(c_43208,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43191,c_1843]) ).
tcf(c_43209,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43191,c_4644]) ).
tcf(c_43210,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43191,c_4643]) ).
tcf(c_43211,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43191,c_4642]) ).
tcf(c_43212,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43191,c_4638]) ).
tcf(c_43213,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43191,c_1842]) ).
tcf(c_43214,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43191,c_1890]) ).
tcf(c_43215,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43191,c_1889]) ).
tcf(c_43216,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43191,c_1888]) ).
tcf(c_43217,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43191,c_1885]) ).
tcf(c_43218,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xl)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43191,c_1868]) ).
tcf(c_43219,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,xl))),sdtasdt0(X1,sdtasdt0(xn,sdtpldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43191,c_65]) ).
tcf(c_43220,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),X0),sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),X1)) = sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43191,c_64]) ).
tcf(c_43221,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xl)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43191,c_1867]) ).
tcf(c_43222,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43191,c_59]) ).
tcf(c_43223,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xl)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43191,c_55]) ).
tcf(c_43224,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xl)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43191,c_1866]) ).
tcf(c_43225,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),X0),sdtasdt0(xn,sdtpldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43191,c_153]) ).
tcf(c_43226,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43191,c_1863]) ).
tcf(c_43227,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xl)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43191,c_58]) ).
tcf(c_43228,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xl)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43191,c_54]) ).
tcf(c_43231,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xl))) = sdtasdt0(xn,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_43191,c_57]) ).
tcf(c_43232,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xl)),sz00) = sdtasdt0(xn,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_43191,c_56]) ).
tcf(c_43497,plain,
aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_37575,c_102,c_10033,c_37575]) ).
tcf(c_43500,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43497,c_7192]) ).
tcf(c_43501,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43497,c_7191]) ).
tcf(c_43502,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43497,c_7190]) ).
tcf(c_43503,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43497,c_7186]) ).
tcf(c_43504,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43497,c_1856]) ).
tcf(c_43505,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43497,c_6323]) ).
tcf(c_43506,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43497,c_6322]) ).
tcf(c_43507,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43497,c_6321]) ).
tcf(c_43508,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43497,c_6317]) ).
tcf(c_43509,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43497,c_1855]) ).
tcf(c_43510,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43497,c_5582]) ).
tcf(c_43511,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43497,c_5581]) ).
tcf(c_43512,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43497,c_5580]) ).
tcf(c_43513,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43497,c_5576]) ).
tcf(c_43514,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43497,c_1843]) ).
tcf(c_43515,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43497,c_4644]) ).
tcf(c_43516,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43497,c_4643]) ).
tcf(c_43517,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43497,c_4642]) ).
tcf(c_43518,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43497,c_4638]) ).
tcf(c_43519,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43497,c_1842]) ).
tcf(c_43520,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43497,c_1890]) ).
tcf(c_43521,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43497,c_1889]) ).
tcf(c_43522,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43497,c_1888]) ).
tcf(c_43523,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43497,c_1885]) ).
tcf(c_43524,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xl)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43497,c_1868]) ).
tcf(c_43525,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,xl))),sdtasdt0(X1,sdtasdt0(xm,sdtpldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43497,c_65]) ).
tcf(c_43526,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43497,c_64]) ).
tcf(c_43527,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xl)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43497,c_1867]) ).
tcf(c_43528,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43497,c_59]) ).
tcf(c_43529,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xl)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43497,c_55]) ).
tcf(c_43530,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xl)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43497,c_1866]) ).
tcf(c_43531,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),X0),sdtasdt0(xm,sdtpldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43497,c_153]) ).
tcf(c_43532,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43497,c_1863]) ).
tcf(c_43533,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xl)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43497,c_58]) ).
tcf(c_43534,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xl)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43497,c_54]) ).
tcf(c_43537,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xl))) = sdtasdt0(xm,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_43497,c_57]) ).
tcf(c_43538,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xl)),sz00) = sdtasdt0(xm,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_43497,c_56]) ).
tcf(c_43803,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_37584,c_101,c_10033,c_37584]) ).
tcf(c_43806,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43803,c_7192]) ).
tcf(c_43807,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43803,c_7191]) ).
tcf(c_43808,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43803,c_7190]) ).
tcf(c_43809,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43803,c_7186]) ).
tcf(c_43810,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43803,c_1856]) ).
tcf(c_43811,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43803,c_6323]) ).
tcf(c_43812,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43803,c_6322]) ).
tcf(c_43813,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43803,c_6321]) ).
tcf(c_43814,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43803,c_6317]) ).
tcf(c_43815,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43803,c_1855]) ).
tcf(c_43816,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43803,c_5582]) ).
tcf(c_43817,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43803,c_5581]) ).
tcf(c_43818,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43803,c_5580]) ).
tcf(c_43819,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43803,c_5576]) ).
tcf(c_43820,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43803,c_1843]) ).
tcf(c_43821,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43803,c_4644]) ).
tcf(c_43822,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43803,c_4643]) ).
tcf(c_43823,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43803,c_4642]) ).
tcf(c_43824,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43803,c_4638]) ).
tcf(c_43825,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43803,c_1842]) ).
tcf(c_43826,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43803,c_1890]) ).
tcf(c_43827,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43803,c_1889]) ).
tcf(c_43828,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43803,c_1888]) ).
tcf(c_43829,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43803,c_1885]) ).
tcf(c_43830,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xl)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43803,c_1868]) ).
tcf(c_43831,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xl))),sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43803,c_65]) ).
tcf(c_43832,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),X1)) = sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43803,c_64]) ).
tcf(c_43833,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xl)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43803,c_1867]) ).
tcf(c_43834,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43803,c_59]) ).
tcf(c_43835,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xl)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43803,c_55]) ).
tcf(c_43836,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xl)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43803,c_1866]) ).
tcf(c_43837,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),X0),sdtasdt0(xl,sdtpldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43803,c_153]) ).
tcf(c_43838,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43803,c_1863]) ).
tcf(c_43839,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xl)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43803,c_58]) ).
tcf(c_43840,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xl)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43803,c_54]) ).
tcf(c_43843,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xl))) = sdtasdt0(xl,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_43803,c_57]) ).
tcf(c_43844,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xl)),sz00) = sdtasdt0(xl,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_43803,c_56]) ).
tcf(c_43854,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_37644,c_49,c_10033,c_37644]) ).
tcf(c_43858,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43854,c_7192]) ).
tcf(c_43859,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43854,c_7191]) ).
tcf(c_43860,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43854,c_7190]) ).
tcf(c_43861,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43854,c_7186]) ).
tcf(c_43862,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43854,c_1856]) ).
tcf(c_43863,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43854,c_6323]) ).
tcf(c_43864,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43854,c_6322]) ).
tcf(c_43865,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43854,c_6321]) ).
tcf(c_43866,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43854,c_6317]) ).
tcf(c_43867,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43854,c_1855]) ).
tcf(c_43868,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43854,c_5582]) ).
tcf(c_43869,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43854,c_5581]) ).
tcf(c_43870,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43854,c_5580]) ).
tcf(c_43871,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_43854,c_5576]) ).
tcf(c_43872,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43854,c_1843]) ).
tcf(c_43873,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43854,c_4644]) ).
tcf(c_43874,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43854,c_4643]) ).
tcf(c_43875,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43854,c_4642]) ).
tcf(c_43876,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_43854,c_4638]) ).
tcf(c_43877,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43854,c_1842]) ).
tcf(c_43878,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43854,c_1890]) ).
tcf(c_43879,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43854,c_1889]) ).
tcf(c_43880,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43854,c_1888]) ).
tcf(c_43881,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43854,c_1885]) ).
tcf(c_43882,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43854,c_1868]) ).
tcf(c_43883,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(xm,xl))),sdtasdt0(X1,sdtasdt0(sz00,sdtpldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43854,c_65]) ).
tcf(c_43884,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),X0),sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43854,c_64]) ).
tcf(c_43885,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43854,c_1867]) ).
tcf(c_43886,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43854,c_59]) ).
tcf(c_43887,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43854,c_55]) ).
tcf(c_43888,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43854,c_1866]) ).
tcf(c_43890,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_43854,c_1863]) ).
tcf(c_43891,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43854,c_58]) ).
tcf(c_43892,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_43854,c_54]) ).
tcf(c_43895,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xl))) = sdtasdt0(sz00,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_43854,c_57]) ).
tcf(c_43896,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_43854,c_56]) ).
tcf(c_44149,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16496,c_69]) ).
tcf(c_44156,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16497,c_69]) ).
tcf(c_44163,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16498,c_69]) ).
tcf(c_44171,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,xn)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16499,c_69]) ).
tcf(c_44178,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16610,c_68]) ).
tcf(c_44186,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16611,c_68]) ).
tcf(c_44194,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16612,c_68]) ).
tcf(c_44212,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16615,c_69]) ).
tcf(c_44220,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16616,c_69]) ).
tcf(c_44228,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16617,c_69]) ).
tcf(c_44238,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_37653,c_103,c_10033,c_37653]) ).
tcf(c_44241,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44238,c_7192]) ).
tcf(c_44242,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44238,c_7191]) ).
tcf(c_44243,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44238,c_7190]) ).
tcf(c_44244,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44238,c_7186]) ).
tcf(c_44245,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44238,c_1856]) ).
tcf(c_44246,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44238,c_6323]) ).
tcf(c_44247,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44238,c_6322]) ).
tcf(c_44248,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44238,c_6321]) ).
tcf(c_44249,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44238,c_6317]) ).
tcf(c_44250,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44238,c_1855]) ).
tcf(c_44251,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44238,c_5582]) ).
tcf(c_44252,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44238,c_5581]) ).
tcf(c_44253,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44238,c_5580]) ).
tcf(c_44254,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44238,c_5576]) ).
tcf(c_44255,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44238,c_1843]) ).
tcf(c_44256,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44238,c_4644]) ).
tcf(c_44257,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44238,c_4643]) ).
tcf(c_44258,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44238,c_4642]) ).
tcf(c_44259,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44238,c_4638]) ).
tcf(c_44260,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44238,c_1842]) ).
tcf(c_44261,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44238,c_1890]) ).
tcf(c_44262,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44238,c_1889]) ).
tcf(c_44263,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44238,c_1888]) ).
tcf(c_44264,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44238,c_1885]) ).
tcf(c_44265,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xl)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44238,c_1868]) ).
tcf(c_44266,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xl))),sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44238,c_65]) ).
tcf(c_44267,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),X1)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44238,c_64]) ).
tcf(c_44268,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xl)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44238,c_1867]) ).
tcf(c_44269,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44238,c_59]) ).
tcf(c_44270,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xl)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44238,c_55]) ).
tcf(c_44271,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xl)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44238,c_1866]) ).
tcf(c_44272,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),X0),sdtpldt0(xn,sdtpldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44238,c_153]) ).
tcf(c_44273,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44238,c_1863]) ).
tcf(c_44274,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xl)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44238,c_58]) ).
tcf(c_44275,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xl)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44238,c_54]) ).
tcf(c_44278,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xl))) = sdtpldt0(xn,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_44238,c_57]) ).
tcf(c_44279,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xl)),sz00) = sdtpldt0(xn,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_44238,c_56]) ).
tcf(c_44374,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_37663,c_102,c_10033,c_37663]) ).
tcf(c_44377,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44374,c_7192]) ).
tcf(c_44378,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44374,c_7191]) ).
tcf(c_44379,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44374,c_7190]) ).
tcf(c_44380,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44374,c_7186]) ).
tcf(c_44381,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44374,c_1856]) ).
tcf(c_44382,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44374,c_6323]) ).
tcf(c_44383,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44374,c_6322]) ).
tcf(c_44384,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44374,c_6321]) ).
tcf(c_44385,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44374,c_6317]) ).
tcf(c_44386,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44374,c_1855]) ).
tcf(c_44387,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44374,c_5582]) ).
tcf(c_44388,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44374,c_5581]) ).
tcf(c_44389,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44374,c_5580]) ).
tcf(c_44390,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44374,c_5576]) ).
tcf(c_44391,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44374,c_1843]) ).
tcf(c_44392,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44374,c_4644]) ).
tcf(c_44393,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44374,c_4643]) ).
tcf(c_44394,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44374,c_4642]) ).
tcf(c_44395,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44374,c_4638]) ).
tcf(c_44396,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44374,c_1842]) ).
tcf(c_44397,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44374,c_1890]) ).
tcf(c_44398,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44374,c_1889]) ).
tcf(c_44399,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44374,c_1888]) ).
tcf(c_44400,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44374,c_1885]) ).
tcf(c_44401,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xl)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44374,c_1868]) ).
tcf(c_44402,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xl))),sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44374,c_65]) ).
tcf(c_44403,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44374,c_64]) ).
tcf(c_44404,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xl)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44374,c_1867]) ).
tcf(c_44405,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44374,c_59]) ).
tcf(c_44406,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xl)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44374,c_55]) ).
tcf(c_44407,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xl)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44374,c_1866]) ).
tcf(c_44408,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),X0),sdtpldt0(xm,sdtpldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44374,c_153]) ).
tcf(c_44409,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44374,c_1863]) ).
tcf(c_44410,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xl)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44374,c_58]) ).
tcf(c_44411,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xl)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44374,c_54]) ).
tcf(c_44414,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xl))) = sdtpldt0(xm,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_44374,c_57]) ).
tcf(c_44415,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xl)),sz00) = sdtpldt0(xm,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_44374,c_56]) ).
tcf(c_44491,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_37673,c_101,c_10033,c_37673]) ).
tcf(c_44494,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44491,c_7192]) ).
tcf(c_44495,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44491,c_7191]) ).
tcf(c_44496,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44491,c_7190]) ).
tcf(c_44497,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44491,c_7186]) ).
tcf(c_44498,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44491,c_1856]) ).
tcf(c_44499,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44491,c_6323]) ).
tcf(c_44500,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44491,c_6322]) ).
tcf(c_44501,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44491,c_6321]) ).
tcf(c_44502,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44491,c_6317]) ).
tcf(c_44503,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44491,c_1855]) ).
tcf(c_44504,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44491,c_5582]) ).
tcf(c_44505,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44491,c_5581]) ).
tcf(c_44506,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44491,c_5580]) ).
tcf(c_44507,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44491,c_5576]) ).
tcf(c_44508,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44491,c_1843]) ).
tcf(c_44509,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44491,c_4644]) ).
tcf(c_44510,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44491,c_4643]) ).
tcf(c_44511,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44491,c_4642]) ).
tcf(c_44512,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44491,c_4638]) ).
tcf(c_44513,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44491,c_1842]) ).
tcf(c_44514,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44491,c_1890]) ).
tcf(c_44515,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44491,c_1889]) ).
tcf(c_44516,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44491,c_1888]) ).
tcf(c_44517,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44491,c_1885]) ).
tcf(c_44518,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xl)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44491,c_1868]) ).
tcf(c_44519,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xl))),sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44491,c_65]) ).
tcf(c_44520,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),X1)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44491,c_64]) ).
tcf(c_44521,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xl)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44491,c_1867]) ).
tcf(c_44522,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44491,c_59]) ).
tcf(c_44523,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xl)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44491,c_55]) ).
tcf(c_44524,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xl)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44491,c_1866]) ).
tcf(c_44525,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),X0),sdtpldt0(xl,sdtpldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44491,c_153]) ).
tcf(c_44526,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44491,c_1863]) ).
tcf(c_44527,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xl)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44491,c_58]) ).
tcf(c_44528,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xl)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44491,c_54]) ).
tcf(c_44531,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xl))) = sdtpldt0(xl,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_44491,c_57]) ).
tcf(c_44532,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xl)),sz00) = sdtpldt0(xl,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_44491,c_56]) ).
tcf(c_44752,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xl))),
inference(global_subsumption_just,[status(thm)],[c_37684,c_49,c_10033,c_37684]) ).
tcf(c_44756,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44752,c_7192]) ).
tcf(c_44757,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44752,c_7191]) ).
tcf(c_44758,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44752,c_7190]) ).
tcf(c_44759,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44752,c_7186]) ).
tcf(c_44760,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44752,c_1856]) ).
tcf(c_44761,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44752,c_6323]) ).
tcf(c_44762,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44752,c_6322]) ).
tcf(c_44763,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44752,c_6321]) ).
tcf(c_44764,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44752,c_6317]) ).
tcf(c_44765,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44752,c_1855]) ).
tcf(c_44766,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44752,c_5582]) ).
tcf(c_44767,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44752,c_5581]) ).
tcf(c_44768,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44752,c_5580]) ).
tcf(c_44769,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xl))),sz00) = sz00,
inference(superposition,[status(thm)],[c_44752,c_5576]) ).
tcf(c_44770,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44752,c_1843]) ).
tcf(c_44771,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44752,c_4644]) ).
tcf(c_44772,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44752,c_4643]) ).
tcf(c_44773,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44752,c_4642]) ).
tcf(c_44774,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xl)))) = sz00,
inference(superposition,[status(thm)],[c_44752,c_4638]) ).
tcf(c_44775,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44752,c_1842]) ).
tcf(c_44776,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44752,c_1890]) ).
tcf(c_44777,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44752,c_1889]) ).
tcf(c_44778,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44752,c_1888]) ).
tcf(c_44779,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44752,c_1885]) ).
tcf(c_44780,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44752,c_1868]) ).
tcf(c_44781,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,xl))),sdtasdt0(X1,sdtpldt0(sz00,sdtpldt0(xm,xl)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44752,c_65]) ).
tcf(c_44782,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),X0),sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44752,c_64]) ).
tcf(c_44783,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44752,c_1867]) ).
tcf(c_44784,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44752,c_59]) ).
tcf(c_44785,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44752,c_55]) ).
tcf(c_44786,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44752,c_1866]) ).
tcf(c_44787,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xm,xl)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),X0),sdtpldt0(sz00,sdtpldt0(xm,xl))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44752,c_153]) ).
tcf(c_44788,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xl))),
inference(superposition,[status(thm)],[c_44752,c_1863]) ).
tcf(c_44789,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44752,c_58]) ).
tcf(c_44790,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(xm,xl))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_44752,c_54]) ).
tcf(c_44793,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xl))) = sdtpldt0(sz00,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_44752,c_57]) ).
tcf(c_44794,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xl)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xl)),
inference(superposition,[status(thm)],[c_44752,c_56]) ).
tcf(c_44920,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16620,c_68]) ).
tcf(c_44946,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16621,c_68]) ).
tcf(c_44954,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16622,c_68]) ).
tcf(c_44963,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16623,c_68]) ).
tcf(c_44972,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16625,c_69]) ).
tcf(c_44980,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16626,c_69]) ).
tcf(c_44988,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16627,c_69]) ).
tcf(c_44997,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16628,c_69]) ).
tcf(c_45003,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16720,c_68]) ).
tcf(c_45010,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16721,c_68]) ).
tcf(c_45017,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16722,c_68]) ).
tcf(c_45027,plain,
aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xm,xm))),
inference(global_subsumption_just,[status(thm)],[c_37692,c_103,c_10221,c_37692]) ).
tcf(c_45029,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45027,c_7192]) ).
tcf(c_45030,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45027,c_7191]) ).
tcf(c_45031,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45027,c_7190]) ).
tcf(c_45032,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45027,c_7186]) ).
tcf(c_45033,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45027,c_1856]) ).
tcf(c_45034,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45027,c_6323]) ).
tcf(c_45035,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45027,c_6322]) ).
tcf(c_45036,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45027,c_6321]) ).
tcf(c_45037,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45027,c_6317]) ).
tcf(c_45038,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45027,c_1855]) ).
tcf(c_45039,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45027,c_5582]) ).
tcf(c_45040,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45027,c_5581]) ).
tcf(c_45041,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45027,c_5580]) ).
tcf(c_45042,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45027,c_5576]) ).
tcf(c_45043,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45027,c_1843]) ).
tcf(c_45044,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45027,c_4644]) ).
tcf(c_45045,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45027,c_4643]) ).
tcf(c_45046,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45027,c_4642]) ).
tcf(c_45047,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45027,c_4638]) ).
tcf(c_45048,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45027,c_1842]) ).
tcf(c_45049,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),xn) = sdtasdt0(xn,sdtasdt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45027,c_1890]) ).
tcf(c_45050,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),xm) = sdtasdt0(xm,sdtasdt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45027,c_1889]) ).
tcf(c_45051,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),xl) = sdtasdt0(xl,sdtasdt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45027,c_1888]) ).
tcf(c_45052,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45027,c_1885]) ).
tcf(c_45053,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xm)),xn) = sdtpldt0(xn,sdtasdt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45027,c_1868]) ).
tcf(c_45054,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,xm))),sdtasdt0(X1,sdtasdt0(xn,sdtpldt0(xm,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xn,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45027,c_65]) ).
tcf(c_45055,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),X0),sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),X1)) = sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45027,c_64]) ).
tcf(c_45056,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xm)),xm) = sdtpldt0(xm,sdtasdt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45027,c_1867]) ).
tcf(c_45057,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),X0),X1) = sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45027,c_59]) ).
tcf(c_45058,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xm)),X0),X1) = sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45027,c_55]) ).
tcf(c_45059,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xm)),xl) = sdtpldt0(xl,sdtasdt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45027,c_1866]) ).
tcf(c_45060,plain,
! [X0: $i] :
( ( sdtasdt0(xn,sdtpldt0(xm,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),X0),sdtasdt0(xn,sdtpldt0(xm,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45027,c_153]) ).
tcf(c_45061,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45027,c_1863]) ).
tcf(c_45062,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,xm)),X0) = sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45027,c_58]) ).
tcf(c_45063,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xm)),X0) = sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45027,c_54]) ).
tcf(c_45066,plain,
sdtpldt0(sz00,sdtasdt0(xn,sdtpldt0(xm,xm))) = sdtasdt0(xn,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_45027,c_57]) ).
tcf(c_45067,plain,
sdtpldt0(sdtasdt0(xn,sdtpldt0(xm,xm)),sz00) = sdtasdt0(xn,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_45027,c_56]) ).
tcf(c_45171,plain,
aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xm,xm))),
inference(global_subsumption_just,[status(thm)],[c_37700,c_102,c_10221,c_37700]) ).
tcf(c_45173,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45171,c_7192]) ).
tcf(c_45174,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45171,c_7191]) ).
tcf(c_45175,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45171,c_7190]) ).
tcf(c_45176,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45171,c_7186]) ).
tcf(c_45177,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45171,c_1856]) ).
tcf(c_45178,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45171,c_6323]) ).
tcf(c_45179,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45171,c_6322]) ).
tcf(c_45180,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45171,c_6321]) ).
tcf(c_45181,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45171,c_6317]) ).
tcf(c_45182,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45171,c_1855]) ).
tcf(c_45183,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45171,c_5582]) ).
tcf(c_45184,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45171,c_5581]) ).
tcf(c_45185,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45171,c_5580]) ).
tcf(c_45186,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45171,c_5576]) ).
tcf(c_45187,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45171,c_1843]) ).
tcf(c_45188,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45171,c_4644]) ).
tcf(c_45189,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45171,c_4643]) ).
tcf(c_45190,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45171,c_4642]) ).
tcf(c_45191,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45171,c_4638]) ).
tcf(c_45192,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45171,c_1842]) ).
tcf(c_45193,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),xn) = sdtasdt0(xn,sdtasdt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45171,c_1890]) ).
tcf(c_45194,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),xm) = sdtasdt0(xm,sdtasdt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45171,c_1889]) ).
tcf(c_45195,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),xl) = sdtasdt0(xl,sdtasdt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45171,c_1888]) ).
tcf(c_45196,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45171,c_1885]) ).
tcf(c_45197,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xm)),xn) = sdtpldt0(xn,sdtasdt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45171,c_1868]) ).
tcf(c_45198,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,xm))),sdtasdt0(X1,sdtasdt0(xm,sdtpldt0(xm,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xm,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45171,c_65]) ).
tcf(c_45199,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),X0),sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),X1)) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45171,c_64]) ).
tcf(c_45200,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xm)),xm) = sdtpldt0(xm,sdtasdt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45171,c_1867]) ).
tcf(c_45201,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),X0),X1) = sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45171,c_59]) ).
tcf(c_45202,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xm)),X0),X1) = sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45171,c_55]) ).
tcf(c_45203,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xm)),xl) = sdtpldt0(xl,sdtasdt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45171,c_1866]) ).
tcf(c_45204,plain,
! [X0: $i] :
( ( sdtasdt0(xm,sdtpldt0(xm,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),X0),sdtasdt0(xm,sdtpldt0(xm,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45171,c_153]) ).
tcf(c_45205,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45171,c_1863]) ).
tcf(c_45206,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,xm)),X0) = sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45171,c_58]) ).
tcf(c_45207,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xm)),X0) = sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45171,c_54]) ).
tcf(c_45210,plain,
sdtpldt0(sz00,sdtasdt0(xm,sdtpldt0(xm,xm))) = sdtasdt0(xm,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_45171,c_57]) ).
tcf(c_45211,plain,
sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xm)),sz00) = sdtasdt0(xm,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_45171,c_56]) ).
tcf(c_45260,plain,
aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xm,xm))),
inference(global_subsumption_just,[status(thm)],[c_37757,c_101,c_10221,c_37757]) ).
tcf(c_45262,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45260,c_7192]) ).
tcf(c_45263,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45260,c_7191]) ).
tcf(c_45264,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45260,c_7190]) ).
tcf(c_45265,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45260,c_7186]) ).
tcf(c_45266,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45260,c_1856]) ).
tcf(c_45267,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45260,c_6323]) ).
tcf(c_45268,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45260,c_6322]) ).
tcf(c_45269,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45260,c_6321]) ).
tcf(c_45270,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45260,c_6317]) ).
tcf(c_45271,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45260,c_1855]) ).
tcf(c_45272,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45260,c_5582]) ).
tcf(c_45273,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45260,c_5581]) ).
tcf(c_45274,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45260,c_5580]) ).
tcf(c_45275,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45260,c_5576]) ).
tcf(c_45276,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45260,c_1843]) ).
tcf(c_45277,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45260,c_4644]) ).
tcf(c_45278,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45260,c_4643]) ).
tcf(c_45279,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45260,c_4642]) ).
tcf(c_45280,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45260,c_4638]) ).
tcf(c_45281,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45260,c_1842]) ).
tcf(c_45282,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),xn) = sdtasdt0(xn,sdtasdt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45260,c_1890]) ).
tcf(c_45283,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),xm) = sdtasdt0(xm,sdtasdt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45260,c_1889]) ).
tcf(c_45284,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),xl) = sdtasdt0(xl,sdtasdt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45260,c_1888]) ).
tcf(c_45285,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45260,c_1885]) ).
tcf(c_45286,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xm)),xn) = sdtpldt0(xn,sdtasdt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45260,c_1868]) ).
tcf(c_45287,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xm))),sdtasdt0(X1,sdtasdt0(xl,sdtpldt0(xm,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xl,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45260,c_65]) ).
tcf(c_45288,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),X0),sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),X1)) = sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45260,c_64]) ).
tcf(c_45289,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xm)),xm) = sdtpldt0(xm,sdtasdt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45260,c_1867]) ).
tcf(c_45290,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),X0),X1) = sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45260,c_59]) ).
tcf(c_45291,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xm)),X0),X1) = sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45260,c_55]) ).
tcf(c_45292,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xm)),xl) = sdtpldt0(xl,sdtasdt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45260,c_1866]) ).
tcf(c_45293,plain,
! [X0: $i] :
( ( sdtasdt0(xl,sdtpldt0(xm,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),X0),sdtasdt0(xl,sdtpldt0(xm,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45260,c_153]) ).
tcf(c_45294,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45260,c_1863]) ).
tcf(c_45295,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,xm)),X0) = sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45260,c_58]) ).
tcf(c_45296,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xm)),X0) = sdtpldt0(X0,sdtasdt0(xl,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45260,c_54]) ).
tcf(c_45299,plain,
sdtpldt0(sz00,sdtasdt0(xl,sdtpldt0(xm,xm))) = sdtasdt0(xl,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_45260,c_57]) ).
tcf(c_45300,plain,
sdtpldt0(sdtasdt0(xl,sdtpldt0(xm,xm)),sz00) = sdtasdt0(xl,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_45260,c_56]) ).
tcf(c_45483,plain,
aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xm,xm))),
inference(global_subsumption_just,[status(thm)],[c_37766,c_49,c_10221,c_37766]) ).
tcf(c_45486,plain,
sdtasdt0(sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45483,c_7192]) ).
tcf(c_45487,plain,
sdtasdt0(sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45483,c_7191]) ).
tcf(c_45488,plain,
sdtasdt0(sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45483,c_7190]) ).
tcf(c_45489,plain,
sdtasdt0(sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45483,c_7186]) ).
tcf(c_45490,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45483,c_1856]) ).
tcf(c_45491,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45483,c_6323]) ).
tcf(c_45492,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45483,c_6322]) ).
tcf(c_45493,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45483,c_6321]) ).
tcf(c_45494,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45483,c_6317]) ).
tcf(c_45495,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45483,c_1855]) ).
tcf(c_45496,plain,
sdtasdt0(sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45483,c_5582]) ).
tcf(c_45497,plain,
sdtasdt0(sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45483,c_5581]) ).
tcf(c_45498,plain,
sdtasdt0(sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45483,c_5580]) ).
tcf(c_45499,plain,
sdtasdt0(sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45483,c_5576]) ).
tcf(c_45500,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45483,c_1843]) ).
tcf(c_45501,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45483,c_4644]) ).
tcf(c_45502,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45483,c_4643]) ).
tcf(c_45503,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45483,c_4642]) ).
tcf(c_45504,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45483,c_4638]) ).
tcf(c_45505,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45483,c_1842]) ).
tcf(c_45506,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),xn) = sdtasdt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45483,c_1890]) ).
tcf(c_45507,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),xm) = sdtasdt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45483,c_1889]) ).
tcf(c_45508,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),xl) = sdtasdt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45483,c_1888]) ).
tcf(c_45509,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45483,c_1885]) ).
tcf(c_45510,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),xn) = sdtpldt0(xn,sdtasdt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45483,c_1868]) ).
tcf(c_45511,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(xm,xm))),sdtasdt0(X1,sdtasdt0(sz00,sdtpldt0(xm,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sz00,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45483,c_65]) ).
tcf(c_45512,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),X0),sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),X1)) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45483,c_64]) ).
tcf(c_45513,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),xm) = sdtpldt0(xm,sdtasdt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45483,c_1867]) ).
tcf(c_45514,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),X0),X1) = sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45483,c_59]) ).
tcf(c_45515,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),X0),X1) = sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45483,c_55]) ).
tcf(c_45516,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),xl) = sdtpldt0(xl,sdtasdt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45483,c_1866]) ).
tcf(c_45518,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45483,c_1863]) ).
tcf(c_45519,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),X0) = sdtasdt0(X0,sdtasdt0(sz00,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45483,c_58]) ).
tcf(c_45520,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),X0) = sdtpldt0(X0,sdtasdt0(sz00,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45483,c_54]) ).
tcf(c_45523,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,xm))) = sdtasdt0(sz00,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_45483,c_57]) ).
tcf(c_45524,plain,
sdtpldt0(sdtasdt0(sz00,sdtpldt0(xm,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_45483,c_56]) ).
tcf(c_45609,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16725,c_69]) ).
tcf(c_45641,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16726,c_69]) ).
tcf(c_45648,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtasdt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16727,c_69]) ).
tcf(c_45662,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16730,c_68]) ).
tcf(c_45669,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16731,c_68]) ).
tcf(c_45676,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16732,c_68]) ).
tcf(c_45684,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl))),X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_16733,c_68]) ).
tcf(c_45692,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xn,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16735,c_69]) ).
tcf(c_45699,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xn,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16736,c_69]) ).
tcf(c_45706,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xn,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16737,c_69]) ).
tcf(c_45714,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl))) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl))))
| ( sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xn,sdtasdt0(sz00,xl)))) != sz00 ) ),
inference(superposition,[status(thm)],[c_16738,c_69]) ).
tcf(c_45715,plain,
aNaturalNumber0(sdtpldt0(xn,sdtpldt0(xm,xm))),
inference(global_subsumption_just,[status(thm)],[c_37806,c_103,c_10221,c_37806]) ).
tcf(c_45717,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45715,c_7192]) ).
tcf(c_45718,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45715,c_7191]) ).
tcf(c_45719,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45715,c_7190]) ).
tcf(c_45720,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45715,c_7186]) ).
tcf(c_45721,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45715,c_1856]) ).
tcf(c_45722,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45715,c_6323]) ).
tcf(c_45723,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45715,c_6322]) ).
tcf(c_45724,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45715,c_6321]) ).
tcf(c_45725,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45715,c_6317]) ).
tcf(c_45726,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45715,c_1855]) ).
tcf(c_45727,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45715,c_5582]) ).
tcf(c_45728,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45715,c_5581]) ).
tcf(c_45729,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45715,c_5580]) ).
tcf(c_45730,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45715,c_5576]) ).
tcf(c_45731,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45715,c_1843]) ).
tcf(c_45732,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45715,c_4644]) ).
tcf(c_45733,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45715,c_4643]) ).
tcf(c_45734,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45715,c_4642]) ).
tcf(c_45735,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45715,c_4638]) ).
tcf(c_45736,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45715,c_1842]) ).
tcf(c_45737,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),xn) = sdtasdt0(xn,sdtpldt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45715,c_1890]) ).
tcf(c_45738,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),xm) = sdtasdt0(xm,sdtpldt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45715,c_1889]) ).
tcf(c_45739,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),xl) = sdtasdt0(xl,sdtpldt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45715,c_1888]) ).
tcf(c_45740,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45715,c_1885]) ).
tcf(c_45741,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xm)),xn) = sdtpldt0(xn,sdtpldt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45715,c_1868]) ).
tcf(c_45742,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xm))),sdtasdt0(X1,sdtpldt0(xn,sdtpldt0(xm,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xn,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45715,c_65]) ).
tcf(c_45743,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),X0),sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),X1)) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45715,c_64]) ).
tcf(c_45744,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xm)),xm) = sdtpldt0(xm,sdtpldt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45715,c_1867]) ).
tcf(c_45745,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),X0),X1) = sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45715,c_59]) ).
tcf(c_45746,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xm)),X0),X1) = sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45715,c_55]) ).
tcf(c_45747,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xm)),xl) = sdtpldt0(xl,sdtpldt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45715,c_1866]) ).
tcf(c_45748,plain,
! [X0: $i] :
( ( sdtpldt0(xn,sdtpldt0(xm,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),X0),sdtpldt0(xn,sdtpldt0(xm,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45715,c_153]) ).
tcf(c_45749,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45715,c_1863]) ).
tcf(c_45750,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,xm)),X0) = sdtasdt0(X0,sdtpldt0(xn,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45715,c_58]) ).
tcf(c_45751,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xm)),X0) = sdtpldt0(X0,sdtpldt0(xn,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45715,c_54]) ).
tcf(c_45754,plain,
sdtpldt0(sz00,sdtpldt0(xn,sdtpldt0(xm,xm))) = sdtpldt0(xn,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_45715,c_57]) ).
tcf(c_45755,plain,
sdtpldt0(sdtpldt0(xn,sdtpldt0(xm,xm)),sz00) = sdtpldt0(xn,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_45715,c_56]) ).
tcf(c_45838,plain,
aNaturalNumber0(sdtpldt0(xm,sdtpldt0(xm,xm))),
inference(global_subsumption_just,[status(thm)],[c_37815,c_102,c_10221,c_37815]) ).
tcf(c_45840,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45838,c_7192]) ).
tcf(c_45841,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45838,c_7191]) ).
tcf(c_45842,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45838,c_7190]) ).
tcf(c_45843,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45838,c_7186]) ).
tcf(c_45844,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45838,c_1856]) ).
tcf(c_45845,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45838,c_6323]) ).
tcf(c_45846,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45838,c_6322]) ).
tcf(c_45847,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45838,c_6321]) ).
tcf(c_45848,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45838,c_6317]) ).
tcf(c_45849,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45838,c_1855]) ).
tcf(c_45850,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45838,c_5582]) ).
tcf(c_45851,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45838,c_5581]) ).
tcf(c_45852,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45838,c_5580]) ).
tcf(c_45853,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_45838,c_5576]) ).
tcf(c_45854,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45838,c_1843]) ).
tcf(c_45855,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45838,c_4644]) ).
tcf(c_45856,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45838,c_4643]) ).
tcf(c_45857,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45838,c_4642]) ).
tcf(c_45858,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_45838,c_4638]) ).
tcf(c_45859,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45838,c_1842]) ).
tcf(c_45860,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),xn) = sdtasdt0(xn,sdtpldt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45838,c_1890]) ).
tcf(c_45861,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),xm) = sdtasdt0(xm,sdtpldt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45838,c_1889]) ).
tcf(c_45862,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),xl) = sdtasdt0(xl,sdtpldt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45838,c_1888]) ).
tcf(c_45863,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45838,c_1885]) ).
tcf(c_45864,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xm)),xn) = sdtpldt0(xn,sdtpldt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45838,c_1868]) ).
tcf(c_45865,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xm))),sdtasdt0(X1,sdtpldt0(xm,sdtpldt0(xm,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xm,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45838,c_65]) ).
tcf(c_45866,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),X0),sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),X1)) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45838,c_64]) ).
tcf(c_45867,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xm)),xm) = sdtpldt0(xm,sdtpldt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45838,c_1867]) ).
tcf(c_45868,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),X0),X1) = sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45838,c_59]) ).
tcf(c_45869,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xm)),X0),X1) = sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45838,c_55]) ).
tcf(c_45870,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xm)),xl) = sdtpldt0(xl,sdtpldt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45838,c_1866]) ).
tcf(c_45871,plain,
! [X0: $i] :
( ( sdtpldt0(xm,sdtpldt0(xm,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),X0),sdtpldt0(xm,sdtpldt0(xm,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45838,c_153]) ).
tcf(c_45872,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_45838,c_1863]) ).
tcf(c_45873,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sdtpldt0(xm,xm)),X0) = sdtasdt0(X0,sdtpldt0(xm,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45838,c_58]) ).
tcf(c_45874,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xm)),X0) = sdtpldt0(X0,sdtpldt0(xm,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_45838,c_54]) ).
tcf(c_45877,plain,
sdtpldt0(sz00,sdtpldt0(xm,sdtpldt0(xm,xm))) = sdtpldt0(xm,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_45838,c_57]) ).
tcf(c_45878,plain,
sdtpldt0(sdtpldt0(xm,sdtpldt0(xm,xm)),sz00) = sdtpldt0(xm,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_45838,c_56]) ).
tcf(c_46011,plain,
aNaturalNumber0(sdtpldt0(xl,sdtpldt0(xm,xm))),
inference(global_subsumption_just,[status(thm)],[c_37824,c_101,c_10221,c_37824]) ).
tcf(c_46013,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46011,c_7192]) ).
tcf(c_46014,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46011,c_7191]) ).
tcf(c_46015,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46011,c_7190]) ).
tcf(c_46016,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46011,c_7186]) ).
tcf(c_46017,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46011,c_1856]) ).
tcf(c_46018,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46011,c_6323]) ).
tcf(c_46019,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46011,c_6322]) ).
tcf(c_46020,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46011,c_6321]) ).
tcf(c_46021,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46011,c_6317]) ).
tcf(c_46022,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46011,c_1855]) ).
tcf(c_46023,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46011,c_5582]) ).
tcf(c_46024,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46011,c_5581]) ).
tcf(c_46025,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46011,c_5580]) ).
tcf(c_46026,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46011,c_5576]) ).
tcf(c_46027,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46011,c_1843]) ).
tcf(c_46028,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46011,c_4644]) ).
tcf(c_46029,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46011,c_4643]) ).
tcf(c_46030,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46011,c_4642]) ).
tcf(c_46031,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46011,c_4638]) ).
tcf(c_46032,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46011,c_1842]) ).
tcf(c_46033,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),xn) = sdtasdt0(xn,sdtpldt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46011,c_1890]) ).
tcf(c_46034,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),xm) = sdtasdt0(xm,sdtpldt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46011,c_1889]) ).
tcf(c_46035,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),xl) = sdtasdt0(xl,sdtpldt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46011,c_1888]) ).
tcf(c_46036,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46011,c_1885]) ).
tcf(c_46037,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xm)),xn) = sdtpldt0(xn,sdtpldt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46011,c_1868]) ).
tcf(c_46038,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xm))),sdtasdt0(X1,sdtpldt0(xl,sdtpldt0(xm,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(xl,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46011,c_65]) ).
tcf(c_46039,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),X0),sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),X1)) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46011,c_64]) ).
tcf(c_46040,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xm)),xm) = sdtpldt0(xm,sdtpldt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46011,c_1867]) ).
tcf(c_46041,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),X0),X1) = sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46011,c_59]) ).
tcf(c_46042,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xm)),X0),X1) = sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46011,c_55]) ).
tcf(c_46043,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xm)),xl) = sdtpldt0(xl,sdtpldt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46011,c_1866]) ).
tcf(c_46044,plain,
! [X0: $i] :
( ( sdtpldt0(xl,sdtpldt0(xm,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),X0),sdtpldt0(xl,sdtpldt0(xm,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46011,c_153]) ).
tcf(c_46045,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46011,c_1863]) ).
tcf(c_46046,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xl,sdtpldt0(xm,xm)),X0) = sdtasdt0(X0,sdtpldt0(xl,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46011,c_58]) ).
tcf(c_46047,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xm)),X0) = sdtpldt0(X0,sdtpldt0(xl,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46011,c_54]) ).
tcf(c_46050,plain,
sdtpldt0(sz00,sdtpldt0(xl,sdtpldt0(xm,xm))) = sdtpldt0(xl,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_46011,c_57]) ).
tcf(c_46051,plain,
sdtpldt0(sdtpldt0(xl,sdtpldt0(xm,xm)),sz00) = sdtpldt0(xl,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_46011,c_56]) ).
tcf(c_46093,plain,
aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xm,xm))),
inference(global_subsumption_just,[status(thm)],[c_37877,c_49,c_10221,c_37877]) ).
tcf(c_46096,plain,
sdtasdt0(sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46093,c_7192]) ).
tcf(c_46097,plain,
sdtasdt0(sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46093,c_7191]) ).
tcf(c_46098,plain,
sdtasdt0(sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46093,c_7190]) ).
tcf(c_46099,plain,
sdtasdt0(sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46093,c_7186]) ).
tcf(c_46100,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46093,c_1856]) ).
tcf(c_46101,plain,
sdtasdt0(sz00,sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46093,c_6323]) ).
tcf(c_46102,plain,
sdtasdt0(sz00,sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46093,c_6322]) ).
tcf(c_46103,plain,
sdtasdt0(sz00,sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46093,c_6321]) ).
tcf(c_46104,plain,
sdtasdt0(sz00,sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46093,c_6317]) ).
tcf(c_46105,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46093,c_1855]) ).
tcf(c_46106,plain,
sdtasdt0(sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46093,c_5582]) ).
tcf(c_46107,plain,
sdtasdt0(sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46093,c_5581]) ).
tcf(c_46108,plain,
sdtasdt0(sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46093,c_5580]) ).
tcf(c_46109,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_46093,c_5576]) ).
tcf(c_46110,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),X0),sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46093,c_1843]) ).
tcf(c_46111,plain,
sdtasdt0(sz00,sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46093,c_4644]) ).
tcf(c_46112,plain,
sdtasdt0(sz00,sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46093,c_4643]) ).
tcf(c_46113,plain,
sdtasdt0(sz00,sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46093,c_4642]) ).
tcf(c_46114,plain,
sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xm)))) = sz00,
inference(superposition,[status(thm)],[c_46093,c_4638]) ).
tcf(c_46115,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),X0)) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46093,c_1842]) ).
tcf(c_46116,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),xn) = sdtasdt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46093,c_1890]) ).
tcf(c_46117,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),xm) = sdtasdt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46093,c_1889]) ).
tcf(c_46118,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),xl) = sdtasdt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46093,c_1888]) ).
tcf(c_46119,plain,
sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),sz00) = sdtasdt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46093,c_1885]) ).
tcf(c_46120,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),xn) = sdtpldt0(xn,sdtpldt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46093,c_1868]) ).
tcf(c_46121,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,xm))),sdtasdt0(X1,sdtpldt0(sz00,sdtpldt0(xm,xm)))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(sz00,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46093,c_65]) ).
tcf(c_46122,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),X0),sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),X1)) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46093,c_64]) ).
tcf(c_46123,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),xm) = sdtpldt0(xm,sdtpldt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46093,c_1867]) ).
tcf(c_46124,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),X0),X1) = sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46093,c_59]) ).
tcf(c_46125,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),X0),X1) = sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),sdtpldt0(X0,X1)) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46093,c_55]) ).
tcf(c_46126,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),xl) = sdtpldt0(xl,sdtpldt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46093,c_1866]) ).
tcf(c_46127,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtpldt0(xm,xm)) = sz00 )
| ( sdtsldt0(sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),X0),sdtpldt0(sz00,sdtpldt0(xm,xm))) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46093,c_153]) ).
tcf(c_46128,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xm))),
inference(superposition,[status(thm)],[c_46093,c_1863]) ).
tcf(c_46129,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),X0) = sdtasdt0(X0,sdtpldt0(sz00,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46093,c_58]) ).
tcf(c_46130,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),X0) = sdtpldt0(X0,sdtpldt0(sz00,sdtpldt0(xm,xm))) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_46093,c_54]) ).
tcf(c_46133,plain,
sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(xm,xm))) = sdtpldt0(sz00,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_46093,c_57]) ).
tcf(c_46134,plain,
sdtpldt0(sdtpldt0(sz00,sdtpldt0(xm,xm)),sz00) = sdtpldt0(sz00,sdtpldt0(xm,xm)),
inference(superposition,[status(thm)],[c_46093,c_56]) ).
tcf(c_46265,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtasdt0(sz00,sz00)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_16991,c_53]) ).
tcf(c_46267,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtasdt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtasdt0(xn,sdtasdt0(sz00,sz00)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_16991,c_69]) ).
tcf(c_46272,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtasdt0(sz00,sz00)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_16992,c_53]) ).
tcf(c_46274,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtasdt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtasdt0(xm,sdtasdt0(sz00,sz00)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_16992,c_69]) ).
tcf(c_46279,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtasdt0(sz00,sz00)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_16993,c_53]) ).
tcf(c_46281,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtasdt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtasdt0(xl,sdtasdt0(sz00,sz00)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_16993,c_69]) ).
tcf(c_46286,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtasdt0(sz00,sz00)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_16994,c_53]) ).
tcf(c_46293,plain,
( ( sz00 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(xn,sdtasdt0(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_16995,c_71]) ).
tcf(c_46295,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtasdt0(sz00,sz00)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_16995,c_52]) ).
tcf(c_46296,plain,
! [X0: $i] :
( ( X0 = xn )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(sdtasdt0(sz00,sz00),X0) != sdtpldt0(xn,sdtasdt0(sz00,sz00)) ) ),
inference(superposition,[status(thm)],[c_16995,c_66]) ).
tcf(c_46297,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(xn,sdtasdt0(sz00,sz00)) != sdtpldt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_16995,c_67]) ).
tcf(c_46302,plain,
( ( sz00 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(xm,sdtasdt0(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_16998,c_71]) ).
tcf(c_46304,plain,
( aNaturalNumber0(sdtpldt0(xm,sdtasdt0(sz00,sz00)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_16998,c_52]) ).
tcf(c_46305,plain,
! [X0: $i] :
( ( X0 = xm )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(sdtasdt0(sz00,sz00),X0) != sdtpldt0(xm,sdtasdt0(sz00,sz00)) ) ),
inference(superposition,[status(thm)],[c_16998,c_66]) ).
tcf(c_46306,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(xm,sdtasdt0(sz00,sz00)) != sdtpldt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_16998,c_67]) ).
tcf(c_46319,plain,
( ( sz00 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(xl,sdtasdt0(sz00,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_17001,c_71]) ).
tcf(c_46321,plain,
( aNaturalNumber0(sdtpldt0(xl,sdtasdt0(sz00,sz00)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_17001,c_52]) ).
tcf(c_46322,plain,
! [X0: $i] :
( ( X0 = xl )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(sdtasdt0(sz00,sz00),X0) != sdtpldt0(xl,sdtasdt0(sz00,sz00)) ) ),
inference(superposition,[status(thm)],[c_17001,c_66]) ).
tcf(c_46323,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(xl,sdtasdt0(sz00,sz00)) != sdtpldt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_17001,c_67]) ).
tcf(c_46359,plain,
( aNaturalNumber0(sdtpldt0(sz00,sdtasdt0(sz00,sz00)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_17003,c_52]) ).
tcf(c_46360,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(sdtasdt0(sz00,sz00),X0) != sdtpldt0(sz00,sdtasdt0(sz00,sz00)) ) ),
inference(superposition,[status(thm)],[c_17003,c_66]) ).
tcf(c_46361,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,sz00) = X0 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sz00,sz00))
| ( sdtpldt0(sz00,sdtasdt0(sz00,sz00)) != sdtpldt0(X0,sz00) ) ),
inference(superposition,[status(thm)],[c_17003,c_67]) ).
tcf(c_46366,plain,
( ( sz00 = xn )
| ( sdtpldt0(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtasdt0(xn,sdtpldt0(xn,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_17130,c_72]) ).
tcf(c_46367,plain,
( aNaturalNumber0(sdtasdt0(xn,sdtpldt0(xn,sz00)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_17130,c_53]) ).
tcf(c_46368,plain,
! [X0: $i] :
( ( X0 = xn )
| ( sdtpldt0(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtasdt0(sdtpldt0(xn,sz00),X0) != sdtasdt0(xn,sdtpldt0(xn,sz00)) ) ),
inference(superposition,[status(thm)],[c_17130,c_68]) ).
tcf(c_46369,plain,
! [X0: $i] :
( ( sz00 = xn )
| ( sdtpldt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtasdt0(xn,sdtpldt0(xn,sz00)) != sdtasdt0(X0,xn) ) ),
inference(superposition,[status(thm)],[c_17130,c_69]) ).
tcf(c_46376,plain,
( ( sz00 = xm )
| ( sdtpldt0(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtasdt0(xm,sdtpldt0(xn,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_17131,c_72]) ).
tcf(c_46377,plain,
( aNaturalNumber0(sdtasdt0(xm,sdtpldt0(xn,sz00)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_17131,c_53]) ).
tcf(c_46378,plain,
! [X0: $i] :
( ( X0 = xm )
| ( sdtpldt0(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtasdt0(sdtpldt0(xn,sz00),X0) != sdtasdt0(xm,sdtpldt0(xn,sz00)) ) ),
inference(superposition,[status(thm)],[c_17131,c_68]) ).
tcf(c_46379,plain,
! [X0: $i] :
( ( sz00 = xm )
| ( sdtpldt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtasdt0(xm,sdtpldt0(xn,sz00)) != sdtasdt0(X0,xm) ) ),
inference(superposition,[status(thm)],[c_17131,c_69]) ).
tcf(c_46409,plain,
( ( sz00 = xl )
| ( sdtpldt0(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtasdt0(xl,sdtpldt0(xn,sz00)) != sz00 ) ),
inference(superposition,[status(thm)],[c_17132,c_72]) ).
tcf(c_46410,plain,
( aNaturalNumber0(sdtasdt0(xl,sdtpldt0(xn,sz00)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_17132,c_53]) ).
tcf(c_46411,plain,
! [X0: $i] :
( ( X0 = xl )
| ( sdtpldt0(xn,sz00) = sz00 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtasdt0(sdtpldt0(xn,sz00),X0) != sdtasdt0(xl,sdtpldt0(xn,sz00)) ) ),
inference(superposition,[status(thm)],[c_17132,c_68]) ).
tcf(c_46412,plain,
! [X0: $i] :
( ( sz00 = xl )
| ( sdtpldt0(xn,sz00) = X0 )
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtasdt0(xl,sdtpldt0(xn,sz00)) != sdtasdt0(X0,xl) ) ),
inference(superposition,[status(thm)],[c_17132,c_69]) ).
tcf(c_46421,plain,
( aNaturalNumber0(sdtasdt0(sz00,sdtpldt0(xn,sz00)))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00)) ),
inference(superposition,[status(thm)],[c_17133,c_53]) ).
tcf(c_46422,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sdtpldt0(xn,sz00) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00))
| ( sdtasdt0(sdtpldt0(xn,sz00),X0) != sdtasdt0(sz00,sdtpldt0(xn,sz00)) ) ),
inference(superposition,[status(thm)],[c_17133,c_68]) ).
tcf(c_46431,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_46421,c_46422,c_46410,c_46409,c_46411,c_46412,c_46377,c_46376,c_46378,c_46379,c_46367,c_46366,c_46368,c_46369,c_46359,c_46360,c_46361,c_46321,c_46319,c_46322,c_46323,c_46304,c_46302,c_46305,c_46306,c_46295,c_46293,c_46296,c_46297,c_46286,c_46279,c_46281,c_46272,c_46274,c_46265,c_46267,c_46134,c_46133,c_46130,c_46129,c_46128,c_46127,c_46126,c_46125,c_46124,c_46123,c_46122,c_46121,c_46120,c_46119,c_46118,c_46117,c_46116,c_46115,c_46114,c_46113,c_46112,c_46111,c_46110,c_46109,c_46108,c_46107,c_46106,c_46105,c_46104,c_46103,c_46102,c_46101,c_46100,c_46099,c_46098,c_46097,c_46096,c_46093,c_46051,c_46050,c_46047,c_46046,c_46045,c_46044,c_46043,c_46042,c_46041,c_46040,c_46039,c_46038,c_46037,c_46036,c_46035,c_46034,c_46033,c_46032,c_46031,c_46030,c_46029,c_46028,c_46027,c_46026,c_46025,c_46024,c_46023,c_46022,c_46021,c_46020,c_46019,c_46018,c_46017,c_46016,c_46015,c_46014,c_46013,c_46011,c_45878,c_45877,c_45874,c_45873,c_45872,c_45871,c_45870,c_45869,c_45868,c_45867,c_45866,c_45865,c_45864,c_45863,c_45862,c_45861,c_45860,c_45859,c_45858,c_45857,c_45856,c_45855,c_45854,c_45853,c_45852,c_45851,c_45850,c_45849,c_45848,c_45847,c_45846,c_45845,c_45844,c_45843,c_45842,c_45841,c_45840,c_45838,c_45755,c_45754,c_45751,c_45750,c_45749,c_45748,c_45747,c_45746,c_45745,c_45744,c_45743,c_45742,c_45741,c_45740,c_45739,c_45738,c_45737,c_45736,c_45735,c_45734,c_45733,c_45732,c_45731,c_45730,c_45729,c_45728,c_45727,c_45726,c_45725,c_45724,c_45723,c_45722,c_45721,c_45720,c_45719,c_45718,c_45717,c_45715,c_45714,c_45706,c_45699,c_45692,c_45684,c_45676,c_45669,c_45662,c_45648,c_45641,c_45609,c_45524,c_45523,c_45520,c_45519,c_45518,c_45516,c_45515,c_45514,c_45513,c_45512,c_45511,c_45510,c_45509,c_45508,c_45507,c_45506,c_45505,c_45504,c_45503,c_45502,c_45501,c_45500,c_45499,c_45498,c_45497,c_45496,c_45495,c_45494,c_45493,c_45492,c_45491,c_45490,c_45489,c_45488,c_45487,c_45486,c_45483,c_45300,c_45299,c_45296,c_45295,c_45294,c_45293,c_45292,c_45291,c_45290,c_45289,c_45288,c_45287,c_45286,c_45285,c_45284,c_45283,c_45282,c_45281,c_45280,c_45279,c_45278,c_45277,c_45276,c_45275,c_45274,c_45273,c_45272,c_45271,c_45270,c_45269,c_45268,c_45267,c_45266,c_45265,c_45264,c_45263,c_45262,c_45260,c_45211,c_45210,c_45207,c_45206,c_45205,c_45204,c_45203,c_45202,c_45201,c_45200,c_45199,c_45198,c_45197,c_45196,c_45195,c_45194,c_45193,c_45192,c_45191,c_45190,c_45189,c_45188,c_45187,c_45186,c_45185,c_45184,c_45183,c_45182,c_45181,c_45180,c_45179,c_45178,c_45177,c_45176,c_45175,c_45174,c_45173,c_45171,c_45067,c_45066,c_45063,c_45062,c_45061,c_45060,c_45059,c_45058,c_45057,c_45056,c_45055,c_45054,c_45053,c_45052,c_45051,c_45050,c_45049,c_45048,c_45047,c_45046,c_45045,c_45044,c_45043,c_45042,c_45041,c_45040,c_45039,c_45038,c_45037,c_45036,c_45035,c_45034,c_45033,c_45032,c_45031,c_45030,c_45029,c_45027,c_45017,c_45010,c_45003,c_44997,c_44988,c_44980,c_44972,c_44963,c_44954,c_44946,c_44920,c_44794,c_44793,c_44790,c_44789,c_44788,c_44787,c_44786,c_44785,c_44784,c_44783,c_44782,c_44781,c_44780,c_44779,c_44778,c_44777,c_44776,c_44775,c_44774,c_44773,c_44772,c_44771,c_44770,c_44769,c_44768,c_44767,c_44766,c_44765,c_44764,c_44763,c_44762,c_44761,c_44760,c_44759,c_44758,c_44757,c_44756,c_44752,c_44532,c_44531,c_44528,c_44527,c_44526,c_44525,c_44524,c_44523,c_44522,c_44521,c_44520,c_44519,c_44518,c_44517,c_44516,c_44515,c_44514,c_44513,c_44512,c_44511,c_44510,c_44509,c_44508,c_44507,c_44506,c_44505,c_44504,c_44503,c_44502,c_44501,c_44500,c_44499,c_44498,c_44497,c_44496,c_44495,c_44494,c_44491,c_44415,c_44414,c_44411,c_44410,c_44409,c_44408,c_44407,c_44406,c_44405,c_44404,c_44403,c_44402,c_44401,c_44400,c_44399,c_44398,c_44397,c_44396,c_44395,c_44394,c_44393,c_44392,c_44391,c_44390,c_44389,c_44388,c_44387,c_44386,c_44385,c_44384,c_44383,c_44382,c_44381,c_44380,c_44379,c_44378,c_44377,c_44374,c_44279,c_44278,c_44275,c_44274,c_44273,c_44272,c_44271,c_44270,c_44269,c_44268,c_44267,c_44266,c_44265,c_44264,c_44263,c_44262,c_44261,c_44260,c_44259,c_44258,c_44257,c_44256,c_44255,c_44254,c_44253,c_44252,c_44251,c_44250,c_44249,c_44248,c_44247,c_44246,c_44245,c_44244,c_44243,c_44242,c_44241,c_44238,c_44228,c_44220,c_44212,c_44194,c_44186,c_44178,c_44171,c_44163,c_44156,c_44149,c_43896,c_43895,c_43892,c_43891,c_43890,c_43888,c_43887,c_43886,c_43885,c_43884,c_43883,c_43882,c_43881,c_43880,c_43879,c_43878,c_43877,c_43876,c_43875,c_43874,c_43873,c_43872,c_43871,c_43870,c_43869,c_43868,c_43867,c_43866,c_43865,c_43864,c_43863,c_43862,c_43861,c_43860,c_43859,c_43858,c_43854,c_43844,c_43843,c_43840,c_43839,c_43838,c_43837,c_43836,c_43835,c_43834,c_43833,c_43832,c_43831,c_43830,c_43829,c_43828,c_43827,c_43826,c_43825,c_43824,c_43823,c_43822,c_43821,c_43820,c_43819,c_43818,c_43817,c_43816,c_43815,c_43814,c_43813,c_43812,c_43811,c_43810,c_43809,c_43808,c_43807,c_43806,c_43803,c_43538,c_43537,c_43534,c_43533,c_43532,c_43531,c_43530,c_43529,c_43528,c_43527,c_43526,c_43525,c_43524,c_43523,c_43522,c_43521,c_43520,c_43519,c_43518,c_43517,c_43516,c_43515,c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4485,c_4486,c_4452,c_4451,c_4450,c_4453,c_4454,c_4428,c_4427,c_4426,c_4429,c_4430,c_4419,c_4418,c_4420,c_4421,c_4408,c_4407,c_4409,c_4410,c_4359,c_4360,c_4361,c_4269,c_4268,c_4267,c_4266,c_4265,c_4264,c_4263,c_4262,c_4261,c_4260,c_4259,c_4258,c_4254,c_4253,c_4252,c_4232,c_4233,c_4224,c_4225,c_4217,c_4212,c_4174,c_4173,c_4172,c_4171,c_4170,c_4169,c_4168,c_4167,c_4166,c_4165,c_4164,c_4163,c_4162,c_4161,c_4160,c_4159,c_4158,c_4157,c_4155,c_4128,c_4127,c_4129,c_4130,c_18934,c_4023,c_4022,c_4021,c_4020,c_4019,c_4018,c_4017,c_4016,c_4015,c_4014,c_4013,c_4012,c_4009,c_4008,c_4007,c_4004,c_4005,c_3976,c_3977,c_3969,c_3970,c_3961,c_3962,c_3954,c_3936,c_3845,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_3832,c_3831,c_3830,c_3829,c_3827,c_3814,c_3793,c_3708,c_3707,c_3706,c_3705,c_3704,c_3703,c_3702,c_3701,c_3700,c_3699,c_3698,c_3697,c_3696,c_3695,c_3694,c_3693,c_3692,c_3690,c_3685,c_3684,c_3686,c_3687,c_3642,c_3641,c_3643,c_3644,c_3595,c_3594,c_3593,c_3592,c_3591,c_3590,c_3589,c_3588,c_3587,c_3586,c_3585,c_3583,c_3582,c_3581,c_3578,c_3579,c_3561,c_3562,c_3553,c_3554,c_3522,c_3523,c_3512,c_3513,c_3504,c_3505,c_3441,c_3440,c_3439,c_3438,c_3437,c_3436,c_3435,c_3433,c_3432,c_3431,c_3430,c_3429,c_3428,c_3427,c_3426,c_3423,c_11719,c_3358,c_3357,c_3356,c_3355,c_3354,c_3353,c_3352,c_3350,c_3349,c_3348,c_3347,c_3346,c_3345,c_3344,c_3343,c_3340,c_3317,c_3315,c_3313,c_3311,c_3309,c_3307,c_3305,c_3304,c_3303,c_3200,c_3198,c_3196,c_3194,c_3192,c_3190,c_3186,c_3185,c_3184,c_3183,c_3182,c_3181,c_3119,c_3118,c_3117,c_3116,c_3115,c_3114,c_3113,c_3111,c_3110,c_3109,c_3108,c_3107,c_3106,c_3105,c_3104,c_3101,c_3099,c_4358,c_3078,c_3063,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_2969,c_2968,c_2967,c_2966,c_2965,c_2964,c_2960,c_2959,c_2958,c_2901,c_2902,c_2893,c_2894,c_2827,c_2826,c_2825,c_2824,c_2823,c_2822,c_2821,c_2820,c_2819,c_2818,c_2817,c_2816,c_2815,c_2814,c_2812,c_2782,c_2781,c_2780,c_2779,c_2778,c_2777,c_2776,c_2775,c_2774,c_2773,c_2772,c_2771,c_2718,c_2717,c_2716,c_2715,c_2714,c_2713,c_2712,c_2711,c_2710,c_2709,c_2708,c_2707,c_2696,c_2695,c_2621,c_2620,c_2619,c_2618,c_2617,c_2616,c_2615,c_2614,c_2613,c_2612,c_2611,c_2610,c_2609,c_2608,c_2607,c_2606,c_2605,c_2604,c_2603,c_2602,c_2601,c_2600,c_2599,c_2572,c_2571,c_2574,c_2554,c_2553,c_2552,c_2551,c_2550,c_2549,c_2546,c_2545,c_2544,c_2542,c_2536,c_2531,c_2525,c_2483,c_2482,c_2481,c_2480,c_2479,c_2478,c_2477,c_2476,c_2475,c_2474,c_2473,c_2471,c_2392,c_2391,c_2390,c_2389,c_2388,c_2387,c_2386,c_2385,c_2384,c_2383,c_2382,c_2380,c_2332,c_2331,c_2330,c_2329,c_2328,c_2327,c_2326,c_2325,c_2324,c_2323,c_2322,c_2321,c_2320,c_2319,c_2318,c_2317,c_2316,c_2315,c_2197,c_2196,c_2195,c_2194,c_2193,c_2192,c_2191,c_2190,c_2189,c_2188,c_2159,c_2158,c_2157,c_2156,c_2155,c_2154,c_2153,c_2152,c_2151,c_2150,c_2146,c_2145,c_2144,c_2131,c_2130,c_2129,c_2126,c_2125,c_2124,c_2123,c_2122,c_2120,c_2119,c_2118,c_2073,c_2072,c_2071,c_2070,c_2069,c_2068,c_2067,c_2066,c_2063,c_2036,c_2035,c_2034,c_2033,c_2032,c_2031,c_2030,c_2029,c_2018,c_2017,c_2016,c_2015,c_2014,c_2013,c_2012,c_1990,c_1988,c_1986,c_2573,c_1976,c_1975,c_1974,c_1973,c_1972,c_1971,c_1970,c_1967,c_1944,c_1943,c_1942,c_1941,c_1940,c_1939,c_1938,c_1935,c_1933,c_1930,c_1927,c_1925,c_1924,c_1923,c_1922,c_1921,c_1890,c_1889,c_1888,c_1887,c_1886,c_1885,c_1868,c_1867,c_1866,c_1865,c_1864,c_1863,c_1858,c_1857,c_1856,c_1855,c_1845,c_1844,c_1843,c_1842,c_1834,c_1833,c_1832,c_1830,c_1829,c_1828,c_1827,c_1826,c_1825,c_1824,c_1822,c_1821,c_1820,c_1819,c_153,c_107,c_106,c_105,c_104,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+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n015.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 04:10:56 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.43
% 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...
% 173.19/24.09 % SZS status Started for theBenchmark.p
% 173.19/24.09 % SZS status Theorem for theBenchmark.p
% 173.19/24.09
% 173.19/24.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 173.19/24.09
% 173.19/24.09 % ------ iProver source info
% 173.19/24.09
% 173.19/24.09 % git: date: 2026-07-19 20:42:38 +0200
% 173.19/24.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 173.19/24.09 % git: non_committed_changes: false
% 173.19/24.09
% 173.19/24.09 % ------ Parsing...
% 173.19/24.09 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 173.19/24.09
% 173.19/24.09 % ------ 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 %
% 173.19/24.09
% 173.19/24.09 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 173.19/24.09
% 173.19/24.09 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 173.19/24.09 % ------ Proving...
% 173.19/24.09 % ------ Problem Properties
% 173.19/24.09
% 173.19/24.09 %
% 173.19/24.09 % clauses 54
% 173.19/24.09 % conjectures 2
% 173.19/24.09 % EPR 15
% 173.19/24.09 % Horn 41
% 173.19/24.09 % unary 10
% 173.19/24.09 % binary 7
% 173.19/24.09 % lits 189
% 173.19/24.09 % lits eq 51
% 173.19/24.09 % fd_pure 0
% 173.19/24.09 % fd_pseudo 0
% 173.19/24.09 % fd_cond 6
% 173.19/24.09 % fd_pseudo_cond 9
% 173.19/24.09 % AC symbols 0
% 173.19/24.09
% 173.19/24.09 % ------ Input Options Time Limit: Unbounded
% 173.19/24.09
% 173.19/24.09
% 173.19/24.09 % ------
% 173.19/24.09 % Current options:
% 173.19/24.09 % ------
% 173.19/24.09
% 173.19/24.09
% 173.19/24.09 %
% 173.19/24.09
% 173.19/24.09 % ------ Proving...
% 173.19/24.09 %
% 173.19/24.09
% 173.19/24.09 % SZS status Theorem for theBenchmark.p
% 173.19/24.09
% 173.19/24.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 173.87/24.29
% 173.87/24.29
%------------------------------------------------------------------------------